id
stringlengths
9
10
submitter
stringlengths
1
64
authors
stringlengths
4
36.7k
title
stringlengths
1
343
comments
stringlengths
1
1.15k
journal-ref
stringlengths
4
557
doi
stringlengths
7
138
report-no
stringlengths
2
459
categories
stringlengths
5
125
license
stringclasses
9 values
abstract
stringlengths
6
6.09k
versions
listlengths
1
187
update_date
stringlengths
10
10
authors_parsed
sequencelengths
1
2.83k
year
stringclasses
13 values
abstract_embedding
sequencelengths
768
768
__index_level_0__
int64
0
1.23M
0704.1001
Sergey Shadrin
A. Losev, S. Shadrin, I. Shneiberg
Tautological relations in Hodge field theory
35 pages
Nucl. Phys. B 786 (2007), no. 3, 267--296
10.1016/j.nuclphysb.2007.07.003
null
math.QA math.AG
null
We propose a Hodge field theory construction that captures algebraic properties of the reduction of Zwiebach invariants to Gromov-Witten invariants. It generalizes the Barannikov-Kontsevich construction to the case of higher genera correlators with gravitational descendants. We prove the main theorem stating that algebraically defined Hodge field theory correlators satisfy all tautological relations. From this perspective the statement that Barannikov-Kontsevich construction provides a solution of the WDVV equation looks as the simplest particular case of our theorem. Also it generalizes the particular cases of other low-genera tautological relations proven in our earlier works; we replace the old technical proofs by a novel conceptual proof.
[ { "created": "Sat, 7 Apr 2007 20:51:13 GMT", "version": "v1" } ]
2010-10-04
[ [ "Losev", "A.", "" ], [ "Shadrin", "S.", "" ], [ "Shneiberg", "I.", "" ] ]
07
[ -0.09879404306411743, -0.4856341779232025, 0.14386992156505585, -0.9858995676040649, 0.007318267598748207, 0.09829743206501007, 0.29344642162323, 0.23587869107723236, -0.4881023168563843, -0.508891224861145, 0.7718935608863831, 0.15057529509067535, 0.4416801333427429, 0.4051107168197632, -0.3384729027748108, 0.6390874981880188, -0.19718436896800995, -0.6190662980079651, -1.056611180305481, -0.7901809215545654, 0.12250389158725739, -0.41206470131874084, -0.8938132524490356, 1.2175488471984863, -0.7262965440750122, 1.005797028541565, -0.28878435492515564, 0.28891557455062866, -0.4852782189846039, -0.7215074300765991, 0.9538599848747253, 0.44553452730178833, -0.4706462621688843, 0.38522836565971375, 0.042602140456438065, 0.4247097671031952, 0.013832923024892807, -1.1909579038619995, -0.9127222299575806, -0.5493944883346558, -0.6689186692237854, 0.828274130821228, 1.2466522455215454, -0.540176272392273, 0.24137449264526367, -0.9269787073135376, -0.4358205199241638, 0.17947988212108612, 0.0991763174533844, 0.07569533586502075, -0.22511403262615204, 1.3045985698699951, 0.35545220971107483, 0.2575308382511139, 0.37619274854660034, 0.7388551831245422, 0.4536362290382385, -1.014704942703247, -0.9891474843025208, -0.5044044852256775, -0.6048582792282104, -0.3352449834346771, 0.23520004749298096, -0.09799650311470032, 0.3268129229545593, -0.33876538276672363, -1.119004726409912, 0.40302348136901855, 1.087384819984436, 1.0334668159484863, 0.1367206871509552, -0.4180040657520294, -0.9089868664741516, -0.010167166590690613, -1.0909539461135864, 0.501465380191803, 1.0514181852340698, -1.2774896621704102, -0.2745985984802246, -0.09153756499290466, 0.9801074862480164, 0.04334032163023949, -0.551708996295929, 0.10046787559986115, 0.3785330355167389, -0.9480471611022949, 0.16134805977344513, 1.226101040840149, -0.9391921758651733, 0.841526448726654, -0.22253328561782837, -1.129429578781128, -0.3679150342941284, 1.3238592147827148, 0.8114173412322998, -2.2435364723205566, -0.8490788340568542, 1.2158392667770386, -0.25810492038726807, -0.11703170090913773, 0.6080957651138306, -0.8568921685218811, 0.09044840931892395, 0.6741911768913269, -0.46786534786224365, 0.2530348598957062, 0.8199360370635986, 0.4264575242996216, 0.8381177186965942, -0.7836190462112427, 1.6103196144104004, -0.4023149907588959, -0.37780165672302246, 0.09611884504556656, -0.22319352626800537, 0.7044061422348022, -1.1724793910980225, -1.2098628282546997, -0.8466753363609314, -0.18462246656417847, -0.5251235365867615, -0.5510441064834595, 0.9520823955535889, -0.17955122888088226, 0.18051251769065857, 1.3010178804397583, -0.5614286065101624, 0.05662310868501663, -0.07329044491052628, -1.2575139999389648, 1.1516376733779907, -0.14958873391151428, 0.5696893930435181, 1.4378571510314941, -0.10531657189130783, 1.1735395193099976, -0.645696222782135, -0.5900373458862305, 0.40443673729896545, -0.01713389717042446, -0.6862934231758118, -0.4545228183269501, 0.2721286714076996, 1.1472201347351074, 1.0213226079940796, 0.04981498792767525, 0.17768943309783936, -0.4991879463195801, 0.8468627333641052, 0.16999554634094238, 0.46205809712409973, -0.5838080644607544, -0.15365873277187347, -0.6075770854949951, -0.02304518222808838, -0.17337968945503235, 0.6010781526565552, 0.02278655394911766, -0.06988100707530975, 0.11522940546274185, -1.2629308700561523, 0.1175997257232666, 0.11464740335941315, -0.5590566396713257, 0.3031403124332428, -0.0058201332576572895, 0.03255043923854828, -0.03623512014746666, -0.7756192088127136, 1.4513300657272339, -0.8385846018791199, -0.8550540208816528, 0.27553972601890564, 0.47566327452659607, 1.1448122262954712, -0.14423109591007233, 0.9557193517684937, 0.6344213485717773, -0.5893567204475403, 0.34743550419807434, -0.24405314028263092, -0.830219030380249, -0.18742723762989044, -0.34172019362449646, -0.14554786682128906, -1.305341124534607, -0.663623571395874, -1.6129717826843262, 1.0446230173110962, 1.30582857131958, -1.088889718055725, 0.8313987851142883, 0.20096951723098755, 0.19159981608390808, 0.12018485367298126, 0.29037776589393616, -0.4861661195755005, 0.09736361354589462, -0.10623446851968765, -0.8036417961120605, 0.35114243626594543, 0.4929744005203247, -0.584923267364502, 0.8916977047920227, -0.49784359335899353, 1.2788069248199463, 1.6103568077087402, 0.20030845701694489, 0.00219105277210474, 0.6868346929550171, 0.47555652260780334, 0.295450896024704, 0.43633443117141724, -0.9106042385101318, 1.2256368398666382, 1.0604116916656494, 0.3930779993534088, 0.23467190563678741, -1.0365214347839355, 1.1620662212371826, -0.3497554659843445, 0.8801901340484619, 0.06304773688316345, 0.32480937242507935, 0.403260201215744, 0.9042370915412903, 1.1106629371643066, -0.2797713279724121, -0.5269480347633362, 0.2671199142932892, 0.23603752255439758, -0.18540793657302856, -0.7486703991889954, -0.4035324454307556, 0.18573439121246338, 0.12450912594795227, 0.027823112905025482, -0.6247506737709045, -0.6136295795440674, 0.07277561724185944, -0.38559937477111816, 0.19407017529010773, -0.45512205362319946, -0.9901846051216125, -0.12318708002567291, 0.5812713503837585, 0.9490277171134949, -1.4421442747116089, 0.7693695425987244, 0.4849945306777954, -1.2568800449371338, 0.08667843788862228, -0.29384446144104004, -0.47552669048309326, -0.3969152569770813, -0.39053288102149963, -0.1282704621553421, -0.5801339149475098, -2.171586036682129, -0.3014092445373535, 0.19049546122550964, -0.3624171316623688, 0.035930704325437546, -1.3124419450759888, -1.2210798263549805, -1.5753735303878784, 0.3180258274078369, 0.4153587520122528, 1.2984870672225952, -0.27555879950523376, -0.6356309652328491, 1.1163698434829712, 0.2390512377023697, 0.39041373133659363, 0.2983902096748352, -0.1820206493139267, 0.0970824733376503, -1.674776315689087, 0.07254157960414886, -0.39287269115448, -0.3521984815597534, 2.709493637084961, 0.6052734851837158, 0.2213927060365677, -0.7418428659439087, -0.5806019902229309, -0.9008064866065979, -0.03260265290737152, 1.0862194299697876, 0.20146328210830688, 0.2754405438899994, -1.1060203313827515, -1.3152861595153809, 0.11420389264822006, -0.20490960776805878, -1.1127736568450928, -0.8732765913009644, -0.341243714094162, 0.3714269697666168, 0.2512775659561157, -1.5240046977996826, -0.13337695598602295, -0.5807631611824036, 1.0738271474838257, -0.3626789152622223, 0.2720182538032532, -0.4231144189834595, 1.1784850358963013, -0.36867743730545044, -0.3040502369403839, 0.9806755781173706, 0.36050325632095337, -1.0319923162460327, -0.2331068068742752, -0.23434366285800934, 0.9887678623199463, 0.24080324172973633, -1.096523404121399, 0.10424654185771942, -0.9552744030952454, -0.3981923460960388, -0.4907693564891815, 1.089762806892395, -0.6302859783172607, 0.8419790267944336, -1.274628758430481, 0.3108302652835846, -0.0014010146260261536, 1.2890859842300415, -0.5282014608383179, 0.5491908192634583, -0.5836782455444336, -0.3393556773662567, 0.37368476390838623, -1.6227539777755737, -1.0156391859054565, 0.34898141026496887, 0.307527095079422, 1.2996289730072021, 0.7099453806877136, 0.6475487947463989, -0.10444246232509613, -0.7861106991767883, -1.2370585203170776, -0.6621169447898865, -0.24488867819309235, 0.40086787939071655, -0.019233105704188347, -1.1410094499588013, 0.12490858137607574, -0.08689925819635391, 0.14986933767795563, -0.48154640197753906, 0.9178995490074158, 0.11051253229379654, -0.2426678091287613, 0.5586957931518555, 0.3287806510925293, -0.7944215536117554, 0.5733361840248108, -0.27402111887931824, 0.8361305594444275, 0.9055542945861816, 1.0178310871124268, 0.3143036365509033, -0.624992847442627, -0.7005881667137146, 0.6815910935401917, -0.27933594584465027, -0.31514906883239746, -1.0029346942901611, -0.7991213798522949, -0.5174607038497925, 0.32473793625831604, -1.6875146627426147, -0.5660956501960754, 0.6786695122718811, -0.4576210677623749, 0.8142662048339844, 0.00824985932558775, 1.2402907609939575, 0.16336432099342346, -1.0015718936920166, -0.3920722007751465, -0.19923798739910126, 1.002318263053894, 0.9755540490150452, -0.08714977651834488, -0.8097604513168335, -0.5748185515403748, 0.6850930452346802, -0.8646299242973328, -0.03750128298997879, 0.8556278347969055, 0.05928961560130119, 0.41535770893096924, -0.5070030093193054, 0.6185086965560913, 0.5072970390319824, 1.7156696319580078, -0.7443244457244873, 0.31570038199424744, 0.0018392432248219848, -0.48221150040626526, -0.16105368733406067, -0.32874900102615356, 0.21580468118190765, -0.05915725976228714, -1.2322075366973877, -0.8399097919464111, -0.11333313584327698, 0.6585544347763062, 0.25167959928512573, 1.5973246097564697, -1.2442570924758911, 0.45438799262046814, -0.5714197754859924, -0.5925046801567078, -0.36599311232566833, -0.7219672799110413, -0.19759786128997803, -1.1749995946884155, -0.6955961585044861, 0.1462768018245697, 0.2896483242511749, 0.650123655796051, -0.7063381671905518, -1.2985174655914307, -0.07196394354104996, -0.26305100321769714, -0.40445610880851746, 0.27080050110816956, 0.3824387788772583, 0.20141088962554932, -0.38415008783340454, -0.6419512033462524, -0.2909504771232605, 1.8334537744522095, -0.6490175127983093, -0.3395528793334961, 0.35874009132385254, 0.8071072101593018, -0.5359148979187012, -0.6068232655525208, 0.4340222477912903, -0.570508599281311, 0.3106113374233246, 1.8380446434020996, -0.4257787764072418, 0.5781370401382446, -0.35651692748069763, 0.0948360413312912, -0.2542654573917389, 0.8120552897453308, 0.002247954485937953, -0.41910460591316223, 1.1876641511917114, -0.8265657424926758, -0.6390559077262878, 0.411682665348053, -0.5315762758255005, 0.3416769504547119, 0.40225937962532043, -1.217210292816162, -1.495276689529419, -1.4637372493743896, -0.4531683921813965, 0.5546961426734924, -0.9462898969650269, -0.3533180356025696, -0.21244405210018158, -0.5156903266906738, 0.5481473803520203, -0.9243326783180237, -1.9979597330093384, -0.24840843677520752, -0.26365941762924194, 0.27526167035102844, 0.1593010127544403, -0.3408913314342499, 0.7771520018577576, 0.7661339640617371, -1.1167826652526855, 1.0709015130996704, -0.36525166034698486, -0.31194496154785156, 0.5326218008995056, -0.6988492608070374, -0.13777591288089752, 1.27565336227417, 0.3814534842967987, -0.49720296263694763, -0.5148284435272217, -0.02646162547171116, -0.25589436292648315, 1.2747973203659058, -0.3366554379463196, -0.02029537968337536, -1.1343287229537964, 0.14130020141601562, -0.17891676723957062, -0.029583729803562164, 0.8256610631942749, -0.8150150179862976, -1.0526150465011597, -0.08624760061502457, -0.40756455063819885, 1.7936232089996338, 0.0476074181497097, 0.0646430179476738, -0.673012912273407, 0.07182516157627106, 1.8330389261245728, -0.2168414443731308, -0.0049534454010427, 0.5217138528823853, -0.04913582652807236, -2.2070817947387695, 0.4283738434314728, -0.7758871912956238, 0.7016683220863342, -0.9557468295097351, 0.3500537574291229, -0.6714455485343933, 0.5502477288246155, 0.5959896445274353, -0.41122403740882874, 0.16585500538349152, 0.06071889027953148, 1.0132163763046265, -0.05343613401055336, -0.6399580836296082, 0.5803130269050598, -0.07973330467939377, 0.652641773223877, -0.38188767433166504, -0.522065281867981, -0.2670825123786926, -0.06874404847621918, -0.13121727108955383, -0.05975925177335739, -0.7205905914306641, 0.5677013397216797, -1.2416239976882935, 1.3153448104858398, -0.2397913634777069, 1.3994556665420532, -0.25938472151756287, -0.3413505554199219, 0.5870583057403564, 0.35057705640792847, 0.3017873764038086, -1.4029895067214966, 0.9471621513366699, 0.5082175135612488, -0.45811066031455994, -7.31879186630249, 0.07969772815704346, 0.06191611289978027, -1.3049366474151611, -0.15133944153785706, -0.9040790796279907, -0.11286365985870361, -1.1154367923736572, -0.8622284531593323, 0.7195193767547607, 0.7586696743965149, 0.0953313559293747, -0.3390170633792877, -1.2777053117752075, -1.034065842628479, 0.5894343256950378, -0.2796200215816498, -0.6152107119560242, -1.1265925168991089, 0.03450106829404831, -0.6621922850608826, 1.1179865598678589, 0.5054181814193726, -0.18545813858509064, -0.8710904717445374, -0.8287113904953003, 0.20037874579429626, -0.8775151371955872, -0.5861943364143372, 0.3721902370452881, -0.7330564856529236, -0.11045529693365097, -0.7334002256393433, -1.1323320865631104, -0.6554931998252869, -0.6341071128845215, -0.932228147983551, -1.3966878652572632, 0.03555778041481972, -0.8415534496307373, -0.024530207738280296, -0.2716023027896881, 0.20212624967098236, 0.3726029098033905, -0.04178735986351967, 0.3889617621898651, -0.5474517345428467, -0.5818865299224854, 0.6173688769340515, -0.3746750056743622, -1.8993474245071411, 0.18832944333553314, 0.46277961134910583, -0.93965744972229, 0.7680345773696899, -0.030806511640548706, -0.40461671352386475, 0.5345814228057861, -1.1269646883010864, -1.8736331462860107, -0.20568186044692993, 0.9940898418426514, 0.5768138766288757, 0.38412344455718994, 1.082284927368164, 0.2536829113960266, 0.23246683180332184, 0.7755670547485352, 0.4657769501209259, 0.9454132914543152, -0.03632158041000366, 0.14457210898399353, 0.6294190883636475, -0.3287421464920044, -0.9478887319564819, -0.8595181703567505, -1.6610753536224365, 1.6841174364089966, -0.11689293384552002, -0.10176779329776764, 0.5341075658798218, -1.260409951210022, -0.8797694444656372, 0.22093723714351654, -0.6548845171928406, -0.9287037253379822, 0.5870721936225891, -0.3332560658454895, 0.7349175810813904, -0.9702473282814026, -0.48244938254356384, -0.0011657427530735731, -1.2092649936676025, 0.001343676121905446, -0.5259064435958862, -0.15887440741062164, 0.4573476016521454, -1.1502821445465088, -0.4402962327003479, 1.6798241138458252, 0.3138338625431061, -0.47124984860420227, 0.19108189642429352, 0.45961570739746094, 2.022395372390747, 0.061640527099370956, 0.2450294941663742, 0.022562023252248764, -0.4204355478286743, 1.1639872789382935, 0.49267154932022095, -0.5060652494430542, 0.15521200001239777, -1.046281099319458, -0.15705841779708862, -0.1990526020526886, -1.0505447387695312, -0.45669451355934143, 1.0282270908355713, -0.8892055749893188, -0.531464159488678, -0.3467561900615692, 0.9346109628677368, -0.6271169781684875, 1.5148470401763916, -0.24727515876293182, -1.0994068384170532, -0.2654217481613159, 0.2067389041185379, 1.3142664432525635, -0.16207261383533478, 0.4940946698188782, -0.20772810280323029, 1.4015992879867554, -0.6138126850128174, -0.7472834587097168, -0.37743422389030457, 0.07636761665344238, 0.4474445581436157, 0.34225666522979736, 0.1013786792755127, 0.010558129288256168, 1.0495822429656982, 0.7378302216529846, 0.07318718731403351, -0.8197529315948486, -0.022113140672445297, -0.47656145691871643, -0.13203316926956177, -0.4697909951210022, 0.314326673746109, 2.2204575538635254, 0.46506428718566895, 0.38956111669540405, -0.20042836666107178, 0.11689835041761398, -0.4407216012477875, -0.16238170862197876, -0.989046573638916, -0.483830064535141, 0.04463169351220131, -0.4379308819770813, 0.8250982165336609, 0.768200695514679, 1.0339937210083008, 0.8909751176834106, 0.7561793327331543, 1.118931531906128, 0.7209374308586121, 0.4744984209537506, -0.3114815056324005, 0.1579655259847641, -0.5259693264961243, 1.3143481016159058, -0.5186872482299805, -0.3608570694923401, -1.3038129806518555, -0.9047287702560425, 0.5894874930381775, -1.8083628416061401, -0.6251428127288818, 0.3566436469554901, -0.003383167088031769, 0.7737601399421692, -0.43561166524887085, 1.8588526248931885, 0.0776979923248291, 0.03531867265701294, 0.2953633666038513, 1.2860747575759888, 0.3259369730949402, -0.7614567875862122, -0.0463549941778183, 0.8452168107032776, 0.08592391014099121, 0.6597493886947632, 0.6470102071762085, 0.7463338375091553, 0.018664270639419556, -0.6028411984443665, -0.3582843840122223, 0.15720859169960022, -1.1177489757537842, 0.033809587359428406, -0.24950851500034332, -0.038712598383426666, -0.16352196037769318, 0.744465708732605, 0.9709001779556274, 0.1748732179403305, 0.730108380317688, 0.4828091859817505 ]
1,000
0704.1002
Michele Cantiello
M. Cantiello (WSU, and INAF OA-Teramo), G. Raimondo (INAF-OA Termo), J.P. Blakeslee (WSU), E. Brocato (INAF-OA Teramo), M. Capaccioli (Universita' degli Studi di Napoli)
SBF: multi-wavelength data and models
Presented at From Stars to Galaxies: Building the Pieces to Build up the Universe (StarGal 2006), Venice, Italy, 16-20 Oct 2006
null
null
null
astro-ph
null
Recent applications have proved that the Surface Brightness Fluctuations (SBF) technique is a reliable distance indicator in a wide range of distances, and a promising tool to analyze the physical and chemical properties of unresolved stellar systems, in terms of their metallicity and age. We present the preliminary results of a project aimed at studying the evolutionary properties and distance of the stellar populations in external galaxies based on the SBF method. On the observational side, we have succeeded in detecting I-band SBF gradients in six bright ellipticals imaged with the ACS, for these same objects we are now presenting also B-band SBF data. These B-band data are the first fluctuations magnitude measurements for galaxies beyond 10 Mpc. To analyze the properties of stellar populations from the data, accurate SBF models are essential. As a part of this project, we have evaluated SBF magnitudes from Simple Stellar Population (SSP) models specifically optimized for the purpose. A wide range of chemical compositions and ages, as well as different choices of the photometric system have been investigated. All models are available at the Teramo-Stellar Populations Tools web site: www.oa-teramo.inaf.it/SPoT.
[ { "created": "Sat, 7 Apr 2007 20:45:59 GMT", "version": "v1" } ]
2007-05-23
[ [ "Cantiello", "M.", "", "WSU, and INAF OA-Teramo" ], [ "Raimondo", "G.", "", "INAF-OA Termo" ], [ "Blakeslee", "J. P.", "", "WSU" ], [ "Brocato", "E.", "", "INAF-OA Teramo" ], [ "Capaccioli", "M.", "", "Universita'\n degli Studi di Napoli" ] ]
07
[ 0.01131768710911274, 0.845705509185791, 0.39920830726623535, 1.4188886880874634, 0.6400039196014404, -0.02869119495153427, -1.1304188966751099, 1.4156945943832397, -1.056550145149231, 0.22235402464866638, -1.0288417339324951, 0.5716564059257507, 0.7178568243980408, 0.5556491613388062, 0.795123279094696, 0.8993576169013977, 0.4570024907588959, -0.9500201940536499, 0.6153614521026611, 0.8841190338134766, 0.857730507850647, -0.443280965089798, 0.5485534071922302, 1.086901068687439, -0.3019591271877289, 0.1259433925151825, -0.582670271396637, 0.01776280626654625, -1.069682002067566, -1.1522517204284668, 1.0222643613815308, 0.22606141865253448, 0.4176749587059021, 0.7575371861457825, 0.8425315618515015, -0.505506157875061, 0.5680205225944519, -0.04604104533791542, 0.9735831618309021, -0.69232577085495, 0.14555472135543823, 0.6899056434631348, 1.4039593935012817, -1.3203617334365845, -1.8219521045684814, -0.9761778712272644, -0.19960163533687592, 0.25153523683547974, 0.37384748458862305, -1.355668067932129, 0.8436239361763, -0.13399602472782135, 0.097688689827919, 0.10323743522167206, 0.1914643794298172, 0.1603875756263733, -0.5437173843383789, -0.3613075315952301, -0.6282270550727844, 0.7480612993240356, -0.2440503090620041, -0.7977695465087891, -0.5922327637672424, 0.16015799343585968, -0.4545712172985077, -1.5133516788482666, -0.9017066955566406, -0.2913581132888794, 1.2471084594726562, -0.731213390827179, 0.702121376991272, -1.0547819137573242, 0.5391245484352112, -0.8523125052452087, 0.4824059307575226, 0.6280930638313293, 0.046387407928705215, -0.37778618931770325, -0.3123822808265686, -0.25991183519363403, -1.2722443342208862, 1.8872003555297852, -0.7500736713409424, -0.47099193930625916, -0.12867940962314606, 0.3338160514831543, 0.44414159655570984, 0.10369674116373062, 0.4482698440551758, -0.8231934905052185, -0.02451709657907486, -0.11923094838857651, 0.09760132431983948, -0.2585180997848511, 0.9661574959754944, 0.40736520290374756, -0.722227156162262, 1.0836131572723389, 1.1646511554718018, 2.3071632385253906, -0.17706416547298431, -0.2984919846057892, 0.6746301054954529, -0.020692646503448486, 0.22315585613250732, -0.8563884496688843, -0.249677836894989, -0.7656891942024231, -1.3990453481674194, 0.12098439782857895, 0.25911983847618103, 0.6867677569389343, 0.42509543895721436, 0.4916474223136902, 0.5820812582969666, 0.006517039146274328, -0.21582500636577606, 0.2853383719921112, 0.34380868077278137, -1.12309730052948, -0.66692715883255, 0.11972858756780624, 0.05922989547252655, -0.3685969114303589, 1.1221940517425537, 0.19555547833442688, -1.0466985702514648, -0.38643157482147217, -0.7128941416740417, -1.108176350593567, -0.32694631814956665, -0.4909900426864624, -1.3804680109024048, 0.9073782563209534, -0.8379119038581848, -0.1957160085439682, -0.39505720138549805, -1.3316166400909424, 0.48531872034072876, 0.49136224389076233, -0.6330264210700989, -0.3367254436016083, 0.24084043502807617, -0.4399212598800659, -0.2937471866607666, -0.23993059992790222, 0.3393190801143646, 0.0003727662260644138, -0.18013092875480652, 0.04699891433119774, 1.634765863418579, -0.08892786502838135, 0.37837904691696167, -0.43844521045684814, 1.1992127895355225, 0.28322145342826843, 0.3882856070995331, -0.4112063944339752, 0.5034468770027161, 1.5378618240356445, 0.4263048470020294, 0.7689149379730225, -0.13003891706466675, 0.3647612929344177, 0.4269075095653534, -0.37726864218711853, -0.5780302882194519, -0.3375470042228699, 0.6498059630393982, -0.1199500784277916, 0.4018199145793915, -0.9810791015625, 0.0359286293387413, -0.8337215781211853, -0.06760301440954208, -1.060303807258606, 0.8596810698509216, -0.17425858974456787, 0.763674795627594, -0.061294328421354294, 0.14632625877857208, -0.38021793961524963, 0.3538682162761688, -0.41612982749938965, -0.6111617684364319, 0.2775750160217285, -0.5730136036872864, -0.0582752600312233, 0.7451733350753784, -0.043767206370830536, 0.3949640393257141, 0.00044087329297326505, -0.2202034741640091, 0.22895804047584534, -0.41035744547843933, -0.25192931294441223, -0.7788152694702148, 0.569895327091217, -0.9812356233596802, -1.1679493188858032, 0.40299272537231445, 0.10688771307468414, -0.2689101994037628, 1.0416240692138672, -0.7358148097991943, 0.23646707832813263, 0.7932349443435669, 1.1350951194763184, 0.2622676491737366, 0.14146864414215088, -0.6947152018547058, 1.3691145181655884, -0.029735058546066284, 0.2598905563354492, -0.05155905708670616, -0.31896305084228516, 0.5588684678077698, -1.5029877424240112, 0.7772526741027832, 0.12213480472564697, 0.024929102510213852, 0.26180174946784973, 0.3763751983642578, 0.15293358266353607, -0.35527610778808594, 0.7200403213500977, -0.18879424035549164, -1.247766137123108, -0.4561059772968292, -1.1348292827606201, 0.29210221767425537, -0.5971595048904419, -1.9358216524124146, -0.4796016216278076, 0.044362641870975494, -1.1356655359268188, -0.34422051906585693, -0.6617388129234314, -0.05948590487241745, -0.8264015913009644, -0.49713486433029175, 2.020785093307495, -0.49224168062210083, -0.06451397389173508, 0.24046066403388977, 0.3620398938655853, 1.165181279182434, 0.7997814416885376, -1.0217090845108032, -0.4944465160369873, -0.874497652053833, 0.1694461554288864, 0.1861170381307602, -0.3766867220401764, 0.2772175073623657, -0.7297048568725586, 0.08869809657335281, -0.5711899995803833, -0.5196801424026489, 0.23956851661205292, -1.0302146673202515, -0.057369597256183624, 0.21667422354221344, 0.5435346961021423, 0.15270747244358063, -1.1560255289077759, 0.17570079863071442, -0.695378839969635, 0.25043877959251404, -0.28479528427124023, -0.5696449279785156, 0.8898550271987915, 0.38031482696533203, 0.4696512818336487, -0.8240113258361816, -0.5739306807518005, -0.4045100212097168, -0.4556010663509369, -0.6794034242630005, -1.6932485103607178, -1.4620723724365234, -1.0886186361312866, 0.4143233597278595, 1.5208981037139893, -0.6826843023300171, -0.4718019366264343, 1.1683220863342285, -0.7845685482025146, -0.1993950754404068, 0.8239378333091736, -0.1461554765701294, 0.4345014989376068, -0.06690002977848053, -0.18605098128318787, -0.8017111420631409, 0.2885792553424835, 0.8790639638900757, -0.2501962184906006, 0.9975629448890686, -0.32247859239578247, 1.4226548671722412, 1.0330517292022705, -0.44990286231040955, 0.49654194712638855, 1.0995770692825317, -0.30138099193573, -1.070373296737671, 0.4536343812942505, -0.7581974864006042, -0.03928853198885918, -0.516089677810669, 1.0297044515609741, -0.9976741671562195, -0.20930099487304688, 1.6251121759414673, 0.2953933775424957, 1.1794902086257935, 0.4840049147605896, -1.0707123279571533, -1.6417837142944336, -0.3196244537830353, 0.08926957100629807, -0.3085803985595703, 0.22917158901691437, 0.5135699510574341, -0.43250352144241333, -0.7258580923080444, -1.0763638019561768, 1.3180363178253174, 0.44816768169403076, -0.5904950499534607, 1.144481897354126, -0.8487432599067688, 0.34592440724372864, 0.7482007145881653, 0.8747288584709167, 1.1519519090652466, -0.014213000424206257, -0.2481636255979538, -0.39304855465888977, 0.26073500514030457, 0.5464543700218201, 2.0578372478485107, 0.6065976023674011, -1.2941404581069946, -0.718311071395874, 0.09520468860864639, -0.047561708837747574, -0.23711949586868286, -0.3191322982311249, 0.22949546575546265, 1.2937736511230469, -0.49336302280426025, -0.9504414796829224, -0.12173999845981598, -0.13372120261192322, 0.4121076464653015, 0.6489036083221436, 0.17007043957710266, 0.6885987520217896, -0.8562656044960022, 1.0559934377670288, 1.2672053575515747, 1.6564078330993652, 0.9853590726852417, -1.1386711597442627, -1.5290825366973877, -0.34051430225372314, 0.47029557824134827, -0.42361873388290405, 0.2414962202310562, -0.6230952739715576, 0.20958006381988525, 0.36376211047172546, -0.4110858142375946, -0.04919819533824921, 0.5060199499130249, -0.4640372097492218, 0.1181250736117363, -0.29443857073783875, -0.3789720833301544, -0.1947742998600006, 0.10577939450740814, -1.1058928966522217, 0.08264518529176712, 0.07059980928897858, -0.49951478838920593, 0.13325250148773193, -0.7345013618469238, -0.5070329308509827, -0.47660043835639954, -0.3134101927280426, 0.08863416314125061, 0.03191107511520386, 0.5075559020042419, 1.6590815782546997, -0.37024936079978943, -0.011869621463119984, 0.8807471394538879, -0.5583119988441467, -1.1010380983352661, -0.8427139520645142, 0.28185921907424927, -1.3363579511642456, -0.9148199558258057, -1.1828815937042236, 0.35566362738609314, 0.6445086002349854, -0.5007593631744385, 0.229242742061615, -2.216312885284424, -0.8501172065734863, 0.32928693294525146, -0.6785629987716675, -2.278182029724121, -1.038128137588501, 0.6012142896652222, -0.9759790897369385, 0.31651797890663147, -0.8522219061851501, -0.06543537229299545, -0.2897586226463318, -0.34274789690971375, 0.9788571000099182, -0.7629479765892029, -0.17939893901348114, -0.4823436141014099, 0.11880191415548325, 0.862221896648407, 0.4750851094722748, -0.805610179901123, -1.0460153818130493, 0.24144500494003296, -0.20350563526153564, 0.5792689323425293, -0.10242784023284912, -0.6624503135681152, 0.9825906157493591, -0.24970191717147827, 1.238294005393982, -0.20473600924015045, -1.5743777751922607, 1.1751596927642822, -1.4284744262695312, 0.5711963772773743, -0.6710191369056702, -0.5397098064422607, 0.2304798811674118, -0.16147731244564056, 0.4405095875263214, 0.475708544254303, 0.1570187658071518, -0.4146946668624878, 0.3070128560066223, 0.7729054689407349, 0.3802364468574524, 0.973757803440094, 0.6659662127494812, -1.4416712522506714, -0.08133827894926071, 0.47135651111602783, -0.44223830103874207, -1.0915770530700684, 0.7583388090133667, -1.19598388671875, -1.2212674617767334, -0.4427943825721741, -0.38914692401885986, -0.22366227209568024, 0.2019285261631012, 0.8225528001785278, 0.3842255771160126, 0.1006484180688858, -0.2731618285179138, 1.734382152557373, 0.523155689239502, -0.46871209144592285, -0.4543467164039612, 0.0987115353345871, -1.814104676246643, -0.04972302168607712, 0.31331804394721985, -0.4301792085170746, -0.20048493146896362, 0.061396244913339615, 0.03755444660782814, 0.2941187024116516, 0.8012120723724365, 0.0651407241821289, 0.45713603496551514, -0.8724443912506104, -0.5252970457077026, 0.28227052092552185, 0.43211498856544495, -0.29891031980514526, 1.1135954856872559, 0.0711987242102623, -0.15613779425621033, 0.09328790009021759, -0.5293127298355103, 0.05080745741724968, -0.1255892962217331, -0.3629899322986603, 0.960034191608429, -0.844739556312561, 0.3195764124393463, 0.2688247859477997, -0.7714849710464478, -0.7178247570991516, 0.8434780240058899, 0.3917217254638672, 0.24855150282382965, -0.4969409108161926, 1.176054835319519, 0.025358637794852257, 0.22366300225257874, -0.8377185463905334, -2.6190645694732666, 0.7752155065536499, -1.8261240720748901, -0.08484553545713425, -0.5470258593559265, -0.12111978977918625, 0.09391837567090988, 0.18357229232788086, 0.22302143275737762, 0.7056712508201599, 0.8473013043403625, 1.1795356273651123, 0.8972799777984619, -0.7142471671104431, 0.6504756212234497, 0.007456027437001467, 0.1994616985321045, 0.5187293887138367, -0.44948387145996094, -0.35325637459754944, -0.6210023164749146, -0.005294937640428543, -0.10220969468355179, -0.7322646975517273, 0.4819194972515106, 0.5012910962104797, -2.2139339447021484, 1.0092871189117432, -0.22479116916656494, 0.9354813694953918, 0.2608712315559387, -0.48021411895751953, -0.8805671334266663, 0.5227259397506714, -1.033535361289978, 0.1791999191045761, 0.03516402468085289, -0.6328540444374084, -1.454551100730896, -7.421999931335449, 0.4405438303947449, -0.4662156403064728, -1.125951886177063, -0.1314241886138916, -0.6456136703491211, 0.018340343609452248, 0.2801821529865265, -0.4106159210205078, -1.19504976272583, 0.1104762852191925, 0.1563190072774887, -0.9358015656471252, 0.044764213263988495, -1.2586907148361206, 0.8014216423034668, 0.7798821926116943, 0.2905452251434326, -1.0408660173416138, 0.7228706479072571, 0.24905143678188324, -0.5540808439254761, 1.6375558376312256, -0.6461352705955505, -1.4111659526824951, 0.6745417714118958, -0.6954056620597839, -0.9864647388458252, -2.028388500213623, -0.23506315052509308, -0.6062287092208862, 0.8030942678451538, 0.030463270843029022, 0.07427488267421722, 0.05165272578597069, -0.34528160095214844, -0.4363948404788971, -0.3397250771522522, 0.4061090052127838, 0.31028449535369873, 0.8116745352745056, 0.8764275908470154, 0.19087934494018555, -0.3627677261829376, -0.2566326856613159, 0.6944053769111633, -0.41223016381263733, 0.7218548059463501, 1.312933325767517, -0.8152343034744263, 0.7104095220565796, -0.5985629558563232, 0.2770392894744873, -0.821475088596344, 0.06447643041610718, -0.6885003447532654, 0.794704794883728, 0.10452264547348022, 0.06281459331512451, -1.7071822881698608, 0.3839941620826721, 0.803619921207428, -0.6355353593826294, -0.4412795305252075, 0.19944891333580017, 0.11659281700849533, -1.1570367813110352, 0.7310120463371277, -0.058482248336076736, -0.09603070467710495, 1.602339506149292, -0.1155674010515213, -0.5596674680709839, 0.5249714851379395, 0.6842683553695679, 0.11717582494020462, 0.15109415352344513, 1.060223937034607, -0.09314175695180893, 0.5932853817939758, -0.1766851395368576, 0.07894375920295715, 0.09051115810871124, 0.5415839552879333, 0.3332087993621826, -0.9340673685073853, -0.11190347373485565, -0.4793257415294647, 0.17984190583229065, 0.179210364818573, 0.5865228772163391, 0.11563313007354736, -0.1520269811153412, 1.1755365133285522, -0.1811908632516861, -0.643287181854248, -0.10623560100793839, 0.4227631390094757, -0.31617704033851624, -0.6640335917472839, 0.6350240111351013, 1.2298909425735474, 1.1762893199920654, 0.4376641809940338, 0.5290414690971375, 0.45137009024620056, -0.29785600304603577, -0.690560519695282, -0.44797608256340027, 0.1463739573955536, -0.12622098624706268, 0.8788683414459229, 0.49818605184555054, 0.42321595549583435, 0.5348397493362427, -0.8231693506240845, -0.09014039486646652, -0.32211753726005554, -0.04731345176696777, -0.5289093255996704, -0.47815853357315063, 0.7572681307792664, -3.029561996459961, -0.5360565781593323, -0.9118390679359436, -0.46112149953842163, 0.3385329842567444, -0.49656420946121216, -0.2925989329814911, -0.6780228018760681, -0.17401251196861267, 0.3130775988101959, 0.5230847597122192, -1.3611515760421753, -0.3598295748233795, 0.35779640078544617, 0.34387144446372986, -0.43669718503952026, 0.9073788523674011, -0.41870924830436707, 0.6071903109550476, -0.6413223743438721, 0.5556995868682861, -0.45082423090934753, -0.19430842995643616, -0.3440440595149994, 0.6044946312904358, -0.8385484218597412, -1.2579257488250732, -1.01070237159729, -0.7591083645820618, -0.299881249666214, -0.6806199550628662, 0.9310755729675293, -0.7643690705299377, 0.5939894318580627, -0.5350003242492676, 0.3841790556907654, -0.747168242931366, -0.12699416279792786, 0.6097099781036377, -0.6972063183784485, 0.03179706260561943, 0.07637055218219757, 0.2167009562253952, -0.4537696838378906, 0.08233462274074554, -0.23949255049228668, -1.1663610935211182, 0.3606116771697998, -0.4750215709209442, 0.36491742730140686, 0.7951239943504333, -0.2240731418132782, 0.2964349389076233, -0.24628481268882751, -0.4861871302127838, 0.8156120777130127, -0.7968701124191284, -1.2910135984420776, 0.7201728820800781, 1.6123255491256714, -0.08002878725528717, 0.6811378002166748, 0.23375248908996582, -0.2952631711959839, 0.12026708573102951, 1.5346994400024414, 0.4557691216468811, -0.4515232443809509, 0.5878467559814453, -0.015597332268953323, 0.6929637789726257, 0.9725164175033569, -0.6420340538024902, -2.5247561931610107, -0.2867738604545593, -0.6233922243118286, 0.7503540515899658, -0.09759490936994553, 0.5694732069969177, 0.6105045080184937, -0.01538612600415945, -0.45247822999954224, 0.6530861258506775, 0.8285278081893921, -0.21028175950050354, -0.34628069400787354, 0.22833070158958435, 0.4323480427265167, 0.16236348450183868, 0.284917414188385 ]
1,001
0704.1003
Amit Acharya
Amit Acharya
On the choice of coarse variables for dynamics
To appear in International Journal for Multiscale Computational Engineering
null
null
null
nlin.CD math.DS
null
Two ideas for the choice of an adequate set of coarse variables allowing approximate autonomous dynamics for practical applications are presented. The coarse variables are meant to represent averaged behavior of a fine-scale autonomous dynamics.
[ { "created": "Sat, 7 Apr 2007 21:43:03 GMT", "version": "v1" }, { "created": "Mon, 9 Apr 2007 22:42:48 GMT", "version": "v2" } ]
2007-05-23
[ [ "Acharya", "Amit", "" ] ]
07
[ -0.5997636914253235, 0.37474748492240906, 0.30777403712272644, 0.23845554888248444, -0.22214968502521515, -0.5915287733078003, 1.4581116437911987, 0.7298917174339294, 0.026202071458101273, -0.4902081787586212, -1.2871211767196655, 0.53550785779953, -0.6628829836845398, 0.6480727791786194, -1.1485722064971924, -0.9545918703079224, 1.3520599603652954, -0.6599105000495911, -0.19383923709392548, 0.054989028722047806, 0.11677390336990356, -1.4273313283920288, -0.09400489181280136, 0.5241179466247559, 0.10970339924097061, -0.2747461199760437, -2.406054735183716, 1.6497453451156616, -0.5286640524864197, 0.05586216598749161, 0.8900972008705139, 0.048010364174842834, -0.2649710774421692, 0.5415109992027283, 0.08639684319496155, 0.5849013924598694, 0.5054504871368408, 0.6184685826301575, 0.24863526225090027, 0.798980712890625, 0.7210013270378113, 0.8885921835899353, 0.48453769087791443, -0.22467443346977234, -0.23710493743419647, -0.7820069789886475, -0.13128836452960968, -0.013325067237019539, 0.21236172318458557, 0.17209933698177338, 0.36747393012046814, -0.008609705604612827, 1.6068445444107056, -0.24693003296852112, 0.2531459331512451, -0.9269923567771912, -1.3981350660324097, -0.8001701235771179, 0.8704344630241394, -1.13664972782135, 0.2105080932378769, -1.288210391998291, -0.3283790349960327, -0.31811124086380005, -1.381100058555603, -0.7013347744941711, 1.1047937870025635, 0.7903562188148499, 0.710423469543457, -0.8892450332641602, -0.2977865934371948, -0.7905845642089844, 0.2503758668899536, 0.18154871463775635, 0.38333743810653687, 1.0118377208709717, 0.40124282240867615, 0.37744659185409546, 1.206261157989502, -2.120405435562134, 0.7062646150588989, 1.2679225206375122, 0.4023132622241974, 1.6299195289611816, -0.17256881296634674, 0.9313963055610657, 0.45977047085762024, -0.013572103343904018, 0.03577461466193199, 0.19932739436626434, 1.0471932888031006, -0.42254412174224854, -0.6863536238670349, -0.12045373767614365, 1.0414857864379883, 0.40714508295059204, 0.8805087208747864, 0.2647503912448883, 0.24347303807735443, 0.6086219549179077, 0.26942121982574463, 1.464418888092041, 0.37310484051704407, -0.8259868621826172, 0.0863206684589386, 1.3739935159683228, -0.15467843413352966, 0.86270672082901, -0.6663278341293335, -0.28579214215278625, -0.17162519693374634, -0.43076375126838684, 0.006587421055883169, 0.44802796840667725, -1.2009996175765991, 0.025718633085489273, -0.05274452641606331, 0.0951056107878685, 0.6452630162239075, -0.6543324589729309, 0.3898034691810608, -0.27684077620506287, 0.32746458053588867, 0.009704542346298695, -0.12634989619255066, -0.22411257028579712, -0.8732928037643433, -0.9511911869049072, -1.1881266832351685, -0.2714179456233978, 0.47841402888298035, 0.32501062750816345, -0.07543168216943741, -0.6553369760513306, -0.6433790326118469, -0.564145028591156, -0.5356513261795044, 0.014744546264410019, -0.7866969108581543, -1.0137704610824585, 0.13234399259090424, 0.44347530603408813, 0.7713937759399414, -0.9970676898956299, -0.0821032002568245, 0.20204517245292664, -0.57796311378479, 0.5140789747238159, -0.13624201714992523, -1.7368661165237427, -1.0987247228622437, 1.1407924890518188, -0.8838450908660889, 1.6386884450912476, 0.8519680500030518, 0.10817175358533859, 0.22780932486057281, 0.0863989070057869, 0.4392976760864258, -0.2121196985244751, 0.4594446122646332, -1.03831148147583, -0.6989853382110596, -0.3147333562374115, -0.32170629501342773, 0.093562051653862, -0.48460590839385986, -0.041045863181352615, -0.7694295048713684, -0.09488201141357422, -1.1825416088104248, 0.1813412755727768, 0.2099849432706833, 0.24045178294181824, -0.40177640318870544, -0.91873699426651, 0.5580212473869324, 0.2235323041677475, -0.23281623423099518, -0.7792090773582458, -0.3192630112171173, 0.010877260006964207, 0.26571229100227356, -0.13450029492378235, -0.1977485567331314, -0.5359026789665222, -0.075212262570858, -0.43548494577407837, 0.6776514649391174, 0.3267497420310974, 0.01336636021733284, -1.6759005784988403, -0.8832023739814758, 0.6564521193504333, -0.7661804556846619, -0.08552867919206619, -0.09519156068563461, 0.19922207295894623, 0.05015993490815163, 0.048830486834049225, 0.7127178311347961, -0.7609703540802002, 0.3652065694332123, 0.8580062985420227, -0.055836014449596405, -1.1305676698684692, 0.790610134601593, 1.0535099506378174, -0.2900596261024475, -0.3991391062736511, -0.042632680386304855, -0.22028475999832153, -0.4728356599807739, 0.18887539207935333, -0.38578349351882935, -0.10996398329734802, 0.8097255825996399, -0.33138853311538696, -0.5770291686058044, 1.6726598739624023, 0.26243382692337036, 0.2795994281768799, -0.6986857056617737, 0.5795032382011414, 0.1545395404100418, 0.6012729406356812, 0.5809823274612427, -0.6603687405586243, -0.2670368254184723, -1.1565361022949219, 0.9582011699676514, 0.25658077001571655, -0.734589695930481, 0.11680025607347488, 0.9614537358283997, -0.7114235162734985, -0.164180725812912, -0.1717793196439743, 0.4747176170349121, 0.9965038299560547, -0.07813064008951187, 0.5137484073638916, 1.5764209032058716, 0.0024647386744618416, -0.11677838116884232, 0.3686297535896301, -0.6015870571136475, 1.4716635942459106, 0.19103504717350006, 0.2228044718503952, -0.9715867638587952, -0.5514590740203857, -0.6479901671409607, -0.3663782477378845, 0.5861799120903015, 0.35398510098457336, -0.027165420353412628, -0.46310123801231384, -0.9908044338226318, -0.24959228932857513, 0.4192781150341034, -0.7858129739761353, 1.1095606088638306, -1.1074717044830322, -0.4135853052139282, -0.010551000013947487, 1.0421438217163086, 0.24055279791355133, 0.20365017652511597, 0.09388238936662674, -0.4991764426231384, -1.3294371366500854, -0.24781855940818787, 0.31746700406074524, -1.1871026754379272, 0.5587193369865417, 0.33792954683303833, -0.19036030769348145, 0.8513856530189514, -0.685287594795227, -0.3149455785751343, -0.32954585552215576, -0.31875452399253845, -0.014063655398786068, 0.5110781788825989, -1.0995705127716064, -0.8058216571807861, 0.10147690773010254, 0.35416871309280396, -0.1356630027294159, 0.8427732586860657, -0.0636875256896019, -0.2700490355491638, 1.6791999340057373, 0.09215578436851501, 0.6744686961174011, -0.3622349798679352, 0.07678117603063583, -1.068213939666748, 0.8387782573699951, -0.41636672616004944, -1.0174927711486816, 0.24790336191654205, 1.451799750328064, 0.6224924921989441, -1.1477391719818115, -0.6997703909873962, -0.7721289992332458, -1.018101453781128, -0.24704425036907196, -0.46103745698928833, 0.3437519371509552, -0.4539257884025574, -1.49691903591156, 0.23719823360443115, -1.1107012033462524, 1.5559020042419434, -0.08582490682601929, 0.25635528564453125, -1.2961550951004028, 0.14521436393260956, -0.2540677785873413, 0.3506985306739807, 0.8667433261871338, -1.0630638599395752, -0.5980271100997925, 1.371173620223999, -0.9279409050941467, -0.26686418056488037, -0.291779100894928, -1.0679171085357666, 0.26340174674987793, -0.42383435368537903, 0.6184573769569397, -0.8211571574211121, -0.6283798217773438, -1.2899889945983887, -0.8837000131607056, 0.29077479243278503, 0.45794206857681274, 0.0004690336063504219, 1.3831971883773804, 0.26112300157546997, -0.9511539340019226, 0.7520631551742554, -0.000044306976633379236, 0.2502865195274353, -0.2010275423526764, -0.37229031324386597, -0.0693456307053566, -0.13004884123802185, 0.5547326803207397, -1.2031513452529907, 0.8747485280036926, 0.5616334676742554, -0.32023677229881287, 0.5931557416915894, 1.4120302200317383, 0.6348392367362976, -0.529239296913147, 0.45479416847229004, -0.2770269811153412, 0.15448491275310516, -0.2231753170490265, 0.19240312278270721, -1.4105229377746582, 0.26514557003974915, -0.09102987498044968, 0.4851900339126587, -0.6463277339935303, -1.91110098361969, 0.12482253462076187, 0.7542653679847717, -0.1907721310853958, -0.1170872151851654, 0.7795488238334656, 1.0559806823730469, 0.3304508626461029, 0.19460460543632507, 0.8242964744567871, -0.6200632452964783, 1.7330968379974365, -1.5247933864593506, -0.4348779320716858, 0.5798821449279785, -0.29473912715911865, 1.1010090112686157, -0.26876187324523926, -0.8915898203849792, 0.31363075971603394, 0.8777596354484558, -0.02413571998476982, 0.3551779091358185, 0.8065825700759888, 0.10570886731147766, 0.1783757358789444, 0.9986531734466553, -1.2778890132904053, 0.06586477160453796, -1.4208546876907349, -0.09327999502420425, -0.16478221118450165, -1.0915968418121338, -0.102391816675663, 0.5992559194564819, -0.148293137550354, -0.9800713658332825, 0.508682131767273, 0.5645486116409302, 0.0844959169626236, 0.49183255434036255, 0.715592622756958, 0.3652450442314148, -1.6370830535888672, -0.7410761117935181, -0.9795160293579102, -0.03488834947347641, 0.17655430734157562, 0.24428607523441315, -0.015969151630997658, 0.029974300414323807, -0.6089516878128052, -0.0985594391822815, -0.35761311650276184, 0.6414977312088013, -1.205884337425232, 0.06081642955541611, -0.09641039371490479, -0.42275470495224, 0.07327788323163986, -1.3052701950073242, -0.5357226729393005, 0.7926075458526611, -0.013042808510363102, 0.7266450524330139, 0.4722064733505249, -0.368968665599823, -0.863487184047699, 0.016828596591949463, -0.8673840761184692, -1.0608067512512207, 0.2891335189342499, -0.43625369668006897, 0.55196213722229, 0.8349683880805969, 0.09086227416992188, -0.16233378648757935, 1.1782169342041016, -0.7248257398605347, 0.40224048495292664, 0.2322254329919815, -0.526310384273529, 1.5949922800064087, -0.7906628847122192, -0.023724177852272987, -0.3133828938007355, 1.2574262619018555, 1.491399884223938, 0.10835380107164383, -0.2070455253124237, -1.9573403596878052, -1.0718144178390503, -0.33751484751701355, -0.05305887758731842, 0.648226261138916, -0.7983036637306213, 0.3396218717098236, -0.062070801854133606, -0.14007358253002167, -0.10918286442756653, 0.33917853236198425, -0.07380099594593048, 0.4990731477737427, -0.453022837638855, 0.5730481147766113, 0.3629975914955139, -0.47860538959503174, 0.26061728596687317, -1.0779950618743896, 0.31954652070999146, 1.5273622274398804, 0.5677855014801025, 0.6665214896202087, -0.9177210927009583, 0.4143860638141632, -0.5907894968986511, 0.4949089586734772, 0.8018319606781006, -0.06403733044862747, 1.092216968536377, -2.0436923503875732, -0.6568298935890198, 0.06592517346143723, 0.6064801812171936, -1.8079242706298828, 1.1166977882385254, 0.46108415722846985, -0.3438788950443268, 0.4176401197910309, -0.289344847202301, -0.13618604838848114, -0.7835855484008789, -2.0632994174957275, 0.35092610120773315, -1.1537575721740723, 0.8193593621253967, 0.051312580704689026, -0.21084989607334137, 0.4344405233860016, 0.318392276763916, -0.25858840346336365, -0.7793846130371094, -0.8383668065071106, -0.04974553361535072, -0.0257260799407959, 0.5462029576301575, 0.45807331800460815, -3.289870500564575, 0.3852696120738983, 1.2390925884246826, 2.1595213413238525, -0.01997329108417034, 0.22936615347862244, -1.1489626169204712, 0.11531935632228851, 0.37121373414993286, 0.4466211795806885, 0.10226541012525558, -0.4500604271888733, 0.5733627080917358, -0.5904636383056641, 0.5680831074714661, -1.4604651927947998, -0.55167555809021, 0.2756698429584503, -1.0051509141921997, -0.8306251764297485, -0.26687291264533997, -0.8853217959403992, 0.4915669858455658, -0.4744488596916199, -0.543644905090332, 0.8560843467712402, -0.059834789484739304, -0.28774815797805786, -0.6985601186752319, 0.9881775379180908, -0.0008317006868310273, -0.4599779546260834, 0.2539873719215393, -1.0476183891296387, 0.15375091135501862, -0.35299795866012573, 1.3945320844650269, 0.5255223512649536, 0.40874406695365906, -7.88878870010376, 0.48721322417259216, -0.37370312213897705, -0.9541694521903992, 0.7623394131660461, 0.5771259069442749, -1.4090415239334106, -0.7154948115348816, -0.43625926971435547, -1.4680001735687256, -1.233197569847107, 0.32518523931503296, 0.25003954768180847, -0.19692860543727875, -0.5245944857597351, -0.6700007915496826, 0.2312908172607422, -0.04187209904193878, -0.7636906504631042, 0.6176027059555054, 0.14937950670719147, -0.11481661349534988, 0.5515145063400269, -0.7234535217285156, 0.33752331137657166, -0.6608426570892334, 0.8980503678321838, -0.019483430311083794, -0.042739104479551315, -0.048717569559812546, -0.8562915921211243, 0.24635376036167145, 0.20958203077316284, 0.06878963112831116, -1.227513074874878, -1.1960070133209229, -0.3293883204460144, 0.7571141123771667, 0.8780369162559509, 0.261260986328125, 0.028970913961529732, -0.40716350078582764, 1.3207643032073975, 0.2617403268814087, -0.14630989730358124, 0.1574280858039856, -0.09481264650821686, -0.5378385782241821, -0.15398600697517395, -1.0748356580734253, -0.8188904523849487, 0.8772455453872681, 0.3936799168586731, 1.130383849143982, 0.0015482689486816525, -0.5413558483123779, 0.31441858410835266, -0.331405371427536, 1.1523808240890503, 0.377901166677475, 0.18523935973644257, -0.7482305765151978, -0.5870310664176941, 0.5954541563987732, -1.4473967552185059, 1.0428093671798706, -0.14399650692939758, 0.4017464220523834, -0.2333960235118866, -0.054767001420259476, -0.13266798853874207, -1.8840816020965576, 1.0118869543075562, -1.023616075515747, -0.1566433161497116, 0.07127196341753006, 0.2080046385526657, 0.03302416950464249, 0.05051461607217789, 0.4681045413017273, 0.0010785256745293736, 1.0389539003372192, -0.07840768992900848, 1.0341511964797974, -0.7835888266563416, -0.18500052392482758, -0.42910531163215637, -0.08906923234462738, -0.0293362308293581, -0.6854376792907715, -0.7263287305831909, -0.4954233467578888, -0.20821911096572876, -0.22153857350349426, -1.054950475692749, -0.6077896356582642, 0.8654422760009766, 0.8717296719551086, -0.1242627203464508, -0.5723761320114136, -0.3049778640270233, -0.013760595582425594, -0.32929423451423645, -0.23573702573776245, 1.5481517314910889, 0.18895411491394043, -0.9477139711380005, -0.30591174960136414, 0.2945970892906189, -0.3223601281642914, -0.9999709129333496, 0.8532323837280273, 0.5397237539291382, -0.03993133828043938, -0.4506757855415344, -0.06593886762857437, -0.5352582931518555, 1.3206521272659302, -1.1422052383422852, -0.7953656911849976, -0.5374842286109924, 0.9284592866897583, 0.18357053399085999, 0.4865330457687378, 0.8340910077095032, -1.1800122261047363, 0.2751130759716034, 0.17905768752098083, -0.14173708856105804, 0.117428258061409, 0.2319074422121048, -0.24736303091049194, 0.5323389172554016, -0.22307640314102173, -0.15975888073444366, -0.6308034658432007, -0.4271598756313324, 0.3314449191093445, -0.6119182109832764, 0.357202410697937, 1.2697951793670654, 0.8810015916824341, 0.423867404460907, -0.4752871096134186, -0.24293802678585052, -0.30315661430358887, -0.566860020160675, -0.09577469527721405, -0.36798056960105896, 0.6548935174942017, -0.147108256816864, 0.5658661723136902, 1.0179612636566162, 1.6099863052368164, -1.5309734344482422, -0.5222389698028564, -1.1757293939590454, 0.1631692796945572, -0.48391515016555786, 0.13221651315689087, -0.5005978941917419, -0.3689602315425873, 0.5825284719467163, -0.16727697849273682, 0.14431390166282654, -1.7599093914031982, 0.9442336559295654, -0.5338326096534729, 0.5601504445075989, -0.00929180346429348, 0.46108269691467285, 0.20254382491111755, -0.6068025827407837, 0.1057632565498352, 0.8725528120994568, -1.1463754177093506, -0.0851944163441658, -0.2149885594844818, -0.3490826189517975, -0.8933785557746887, 0.1759323626756668, 1.5391318798065186, -0.14393217861652374, 1.1069403886795044, 0.49853360652923584, 1.2177516222000122, -0.5359053611755371, 2.312688112258911, 0.9183167815208435, -1.0460525751113892, 0.024723997339606285, -0.35397329926490784, -1.716172456741333, 0.2254587858915329, 0.06858161091804504, -0.8064795732498169, -0.0017767503159120679, -0.3598390221595764, 0.06310880929231644, -1.0222488641738892, -0.21484048664569855, 0.8764290809631348, -0.42774075269699097, 0.6219810843467712, -0.20567485690116882, -0.8930424451828003, -0.6188722848892212, 0.018226677551865578, 1.0074915885925293, -1.0539970397949219, 0.04325386881828308, 0.5591210722923279 ]
1,002
0704.1004
Michele Cantiello
M. Cantiello (WSU, and INAF OA-Teramo), G. Raimondo (INAF-OA Termo), E. Brocato (INAF-OA Teramo), J.P. Blakeslee (WSU), M. Capaccioli (Universita' degli Studi di Napoli)
Simulating CCD images of elliptical galaxies
Presented at From Stars to Galaxies: Building the Pieces to Build up the Universe (StarGal 2006), Venice, Italy, 16-20 Oct 2006
null
null
null
astro-ph
null
We introduce a procedure developed by the ``Teramo Stellar Populations Tools'' group (Teramo-SPoT), specifically optimized to obtain realistic simulations of CCD images of elliptical galaxies. Particular attention is devoted to include the Surface Brightness Fluctuation (SBF) signal observed in ellipticals and to simulate the Globular Cluster (GC) system in the galaxy, and the distribution of background galaxies present in real CCD frames. In addition to the physical properties of the simulated objects - galaxy distance and brightness profile, luminosity function of GC and background galaxies, etc. - the tool presented allows the user to set some of the main instrumental properties - FoV, zero point magnitude, exposure time, etc.
[ { "created": "Sat, 7 Apr 2007 21:46:32 GMT", "version": "v1" } ]
2007-05-23
[ [ "Cantiello", "M.", "", "WSU, and INAF OA-Teramo" ], [ "Raimondo", "G.", "", "INAF-OA Termo" ], [ "Brocato", "E.", "", "INAF-OA Teramo" ], [ "Blakeslee", "J. P.", "", "WSU" ], [ "Capaccioli", "M.", "", "Universita'\n degli Studi di Napoli" ] ]
07
[ 0.5541242957115173, 0.33156365156173706, 0.2800845205783844, 0.8016682863235474, 0.42869558930397034, -0.21248848736286163, -1.5979385375976562, 0.43856459856033325, -1.0202915668487549, 0.24031247198581696, -0.2298642098903656, 0.586847722530365, -0.35996711254119873, -0.20252028107643127, 0.2893727123737335, 0.7807832360267639, 0.8866474032402039, -1.4441487789154053, -0.01046560239046812, 0.5160624980926514, 0.8139878511428833, 0.02556072548031807, -0.05683695897459984, -0.03478183224797249, -0.4828663468360901, -0.5294025540351868, -0.026884686201810837, 0.07751397788524628, -0.11393535137176514, -0.685566782951355, 0.6098734140396118, -0.00789970625191927, 0.48163920640945435, 0.22036097943782806, 0.053414370864629745, -0.27251163125038147, -0.33982446789741516, 0.06614311784505844, -0.5980125665664673, -0.28343909978866577, -0.026269352063536644, -0.3619374930858612, 1.402474284172058, -0.7484449744224548, -2.209541082382202, -0.18281464278697968, 0.8064830303192139, 0.8337699174880981, 0.6531742215156555, 0.44096827507019043, 0.14971981942653656, -0.7035551071166992, 0.7986640930175781, 0.826275110244751, 0.15565693378448486, 1.037688970565796, 0.161822110414505, -0.3043506443500519, 0.8200427293777466, 0.5039860010147095, -0.3062083423137665, -0.506222128868103, -0.5308495759963989, -0.2584575116634369, -0.6069140434265137, -2.0670337677001953, -1.2880336046218872, 0.3443112373352051, 1.146828293800354, 0.045502688735723495, 0.048457223922014236, -0.9587038159370422, 0.9998288154602051, -0.1150381788611412, -0.2658410966396332, -0.7328231930732727, -0.8035364151000977, 0.3106253743171692, -0.3183046579360962, -0.2184605449438095, -0.7130165696144104, 1.0186012983322144, -1.1757155656814575, -1.496556043624878, -0.7530742287635803, -0.06861031800508499, -0.09950579702854156, -0.9015697836875916, -1.006691575050354, -1.5573385953903198, -1.1545875072479248, -0.7371143698692322, 0.2037220299243927, 0.7805913686752319, 0.6204889416694641, 0.1939581036567688, 0.12431330978870392, 1.3299540281295776, 0.13107916712760925, 1.3797012567520142, 0.46627429127693176, 0.8679879903793335, -0.03435341641306877, 0.5666391253471375, -0.09909478574991226, -0.3372723460197449, 0.5493334531784058, -1.1695359945297241, -0.7348354458808899, 0.24972890317440033, -0.5905611515045166, -0.1436888873577118, 0.3550044000148773, -0.9271496534347534, -0.3905467391014099, -0.061864517629146576, -1.346100091934204, -0.07895682752132416, 0.5096510648727417, -0.9800541996955872, -0.958889901638031, 0.595818281173706, -1.2890212535858154, 0.16091090440750122, 0.4715754985809326, -0.3013730049133301, -0.40852317214012146, -0.4627714157104492, -0.12779459357261658, -1.2060149908065796, -1.2351136207580566, -1.2407337427139282, -0.7986783385276794, -0.11761794239282608, -0.5648447275161743, -1.0149165391921997, -0.1478036642074585, -0.6162373423576355, -0.06808843463659286, 0.7533879280090332, -1.3953900337219238, -0.5282102823257446, 0.5346238613128662, 0.08747982233762741, -0.4709658920764923, 0.2871791124343872, -0.106137216091156, 0.29676759243011475, -0.21127130091190338, -0.8226082921028137, 0.7072029709815979, -0.059060413390398026, -0.013651211746037006, 0.24583040177822113, 2.1844961643218994, -0.43239840865135193, -0.3927842378616333, 0.323407918214798, -0.4548341929912567, 0.6894227862358093, 0.21067380905151367, 0.02734707109630108, 0.13726358115673065, 0.45037129521369934, 0.31395864486694336, -0.2936127483844757, -0.6980358958244324, -0.7812326550483704, 0.44622376561164856, -0.11377211660146713, -0.5672695636749268, -0.3322776257991791, -1.0678964853286743, -0.6702106595039368, 1.1304656267166138, -1.3053170442581177, -0.38149774074554443, -0.2597332298755646, -0.3328431248664856, -0.260362833738327, -0.6198235154151917, -1.1731644868850708, 0.7807800769805908, -1.1275361776351929, -0.2908092737197876, 1.013039469718933, -0.9282806515693665, -0.5282883644104004, 1.6640069484710693, -1.1510921716690063, 0.5854145288467407, 0.027611514553427696, -0.5899973511695862, 0.6776114106178284, -0.6771279573440552, 0.5834376215934753, -1.2131056785583496, 1.3229094743728638, 0.2485339641571045, -1.2161580324172974, -0.3957660496234894, -0.05651233717799187, -0.2706543207168579, 1.304571509361267, -1.2408583164215088, 1.0015662908554077, 1.2661978006362915, 1.9068115949630737, 1.2900079488754272, 0.30889514088630676, -0.6126882433891296, 0.5278339385986328, -0.1451689451932907, 0.17860457301139832, -0.3452928960323334, 0.0424136146903038, 1.2875492572784424, -0.5984987020492554, 1.0057036876678467, 0.6496315002441406, -0.3448054790496826, 0.501596987247467, 1.173293948173523, 0.029972976073622704, 0.017001347616314888, 0.44452834129333496, 0.46337342262268066, -1.079654335975647, -0.8213260173797607, -0.8543022274971008, -1.1525086164474487, -0.5931264162063599, -0.9225096702575684, -0.09992413222789764, 0.9520861506462097, -0.9399207234382629, 0.03036513179540634, -0.1455661952495575, 0.6172258853912354, -0.5682215094566345, -0.03846751153469086, 1.388274908065796, -0.3380259871482849, 0.2916010320186615, -0.07077490538358688, 0.12953025102615356, 0.2163628190755844, 1.5821032524108887, -0.027998115867376328, -0.5217533707618713, -0.8067559599876404, 0.09967557340860367, 0.43092817068099976, -2.0037336349487305, -0.3867056667804718, 0.4008725583553314, 0.372702419757843, -1.4672801494598389, -1.1953002214431763, 0.5617272257804871, -0.35095226764678955, 0.4539731442928314, -0.23804211616516113, 0.15816104412078857, -0.7399510741233826, -0.36724117398262024, 0.43814215064048767, -0.5042632222175598, -0.6784108281135559, 0.6294273734092712, 0.011332083493471146, 0.2908966839313507, 0.38358399271965027, -0.70533686876297, -0.9215607643127441, -0.309736043214798, -0.37524911761283875, -0.9581278562545776, -0.2778584659099579, -1.2951905727386475, -0.8418095707893372, -0.6598977446556091, 0.7149335741996765, 0.6004716157913208, -0.5390790104866028, -0.43853282928466797, 0.7926271557807922, -0.9890688061714172, 0.14585530757904053, 0.4415614604949951, 0.35081762075424194, 0.15978394448757172, -0.4956414997577667, 0.5749634504318237, -0.4165726602077484, 0.44215893745422363, -0.03104533813893795, 0.16643860936164856, 0.8366571664810181, 0.0733816847205162, 3.1528313159942627, -0.23888427019119263, -0.7777523994445801, 1.0121558904647827, 1.0484904050827026, -0.8673638105392456, -0.32785171270370483, 0.6888529062271118, -1.2957507371902466, -0.41014599800109863, 0.18420541286468506, 0.14202246069908142, -1.0758777856826782, -1.0461547374725342, 1.3967092037200928, -0.6082861423492432, 1.1419193744659424, -0.17486251890659332, -1.2452055215835571, -0.9213486909866333, 0.09824267029762268, -0.18418142199516296, 0.3085910379886627, -1.1337597370147705, -0.444764107465744, 0.997809886932373, 0.1588118076324463, -0.673650324344635, 1.426370620727539, 0.8555034399032593, -0.5477984547615051, 0.3103635013103485, 0.22175636887550354, -0.24932904541492462, 0.5850672721862793, 0.3087248206138611, 1.3394701480865479, 0.1551966667175293, -0.18443219363689423, 0.6124483346939087, -0.07552041113376617, 1.6538970470428467, 1.504291296005249, 0.2060270607471466, -0.9510282874107361, -0.23545369505882263, -0.363400936126709, 0.18329475820064545, 0.03421347960829735, 0.3011152148246765, 0.5279962420463562, 1.537392020225525, -0.4347662627696991, -1.4639133214950562, -0.8167174458503723, -0.1948642134666443, 0.6968468427658081, 0.7582245469093323, -0.5377809405326843, 0.038269273936748505, -1.0064836740493774, 0.4343072474002838, 0.8201415538787842, 0.1940888911485672, -0.28431472182273865, -0.6524618268013, 0.13174964487552643, -0.9497351050376892, 0.3852294683456421, -0.3607277274131775, -0.8621858954429626, -0.32842549681663513, 1.096733570098877, -0.4008325934410095, -0.7956730723381042, 0.3644721508026123, -0.34692397713661194, -0.5967479348182678, 0.337158203125, -0.7991288900375366, -0.8300819993019104, -0.45770493149757385, -0.049245841801166534, -0.8562331795692444, -0.2675020396709442, -0.20169612765312195, -0.08113338053226471, -0.3678179979324341, -0.8264212012290955, -0.24933835864067078, -0.12017170339822769, -0.11037848144769669, -0.15269850194454193, 0.6832256317138672, 0.3647228479385376, 0.768498957157135, -0.2139156013727188, -0.4627971351146698, 0.5589503645896912, -1.5643891096115112, 0.0033966342452913523, -0.07891401648521423, 0.7482917904853821, -0.2795049846172333, -0.11540284007787704, -0.8022525310516357, -0.04425507411360741, 0.1423947513103485, -0.848213255405426, -0.16133539378643036, -2.2325754165649414, -0.6537241339683533, 1.6379241943359375, -0.3267451524734497, -1.8260059356689453, -0.7991499900817871, 0.14858348667621613, -0.1362171173095703, -0.7821947932243347, -1.1506950855255127, 0.3492339551448822, 0.6818248629570007, 0.08133626729249954, 0.9575585722923279, -1.1528925895690918, -0.02647264115512371, -0.4632331132888794, -0.2799490690231323, 0.4940039813518524, 0.6609651446342468, -1.8631906509399414, -1.200958490371704, -0.6495405435562134, -0.9164696335792542, 0.1297418475151062, 1.006301760673523, -1.2992968559265137, -0.5647621750831604, -0.6834231615066528, 0.9664356708526611, 0.06304889172315598, -1.492641806602478, -0.1160132884979248, -1.4271583557128906, 0.25394079089164734, -0.7844029664993286, -0.7703114151954651, 1.126119613647461, -0.21043509244918823, 1.1678946018218994, 0.8982222080230713, 0.05184504762291908, -0.4197518825531006, -0.6586028933525085, 0.1931033730506897, -0.042604681104421616, -0.6926766633987427, 0.5588522553443909, -1.0001428127288818, 0.43370458483695984, 0.7008211016654968, 0.01312970370054245, -1.2085130214691162, 1.112195611000061, -0.4534544050693512, 0.07871730625629425, 0.11985157430171967, 0.42551931738853455, 0.9948140382766724, 0.8784905076026917, 1.3676772117614746, 0.7804279327392578, -0.5197239518165588, -0.45151767134666443, 1.7692738771438599, 0.4456930458545685, -0.39910516142845154, 1.0445237159729004, 0.10525116324424744, -0.8862758874893188, 0.8255658745765686, 0.39538294076919556, 0.15477852523326874, 0.3781392276287079, -0.19560258090496063, 0.6259821653366089, 1.011330485343933, -0.08040592819452286, 0.7550840377807617, 0.22795657813549042, 0.2909403443336487, 0.12837229669094086, 0.5703625679016113, 1.128685474395752, -1.0094599723815918, 0.5679666996002197, 0.19552139937877655, -0.022855687886476517, 0.17802418768405914, -0.14338019490242004, 0.2666139304637909, -0.2710407078266144, -0.3298218548297882, 0.41287973523139954, -0.17558090388774872, -0.4369349181652069, 0.7694229483604431, 0.020523052662611008, 1.3977783918380737, 0.6169172525405884, 0.46120303869247437, -1.2118353843688965, 0.20761935412883759, -0.12456803768873215, 0.39450716972351074, 1.3107651472091675, -0.7158671617507935, -2.525444746017456, -0.6751295924186707, -0.6921637654304504, 0.3788546025753021, -0.21706828474998474, -0.3491065800189972, -0.585574209690094, 0.14391446113586426, 0.6496792435646057, 1.1574695110321045, -0.020060043781995773, -0.024873832240700722, 1.3216105699539185, -0.6389718651771545, 0.7362390756607056, 0.6792700886726379, 0.3062230348587036, 1.525716781616211, -1.6912767887115479, 0.034840866923332214, -0.14731982350349426, -0.1826723963022232, -0.18416598439216614, 0.03646641969680786, 1.0366915464401245, 1.1044056415557861, -0.33727186918258667, 0.6870924830436707, 0.003924937453120947, 1.1386216878890991, 0.3140259087085724, -0.275836318731308, -0.7217637300491333, -0.5737031698226929, -0.7332939505577087, 1.555823564529419, -0.13612234592437744, -0.14518912136554718, -0.4586058557033539, -6.997575759887695, 0.06230158358812332, -0.09377256780862808, -0.9452173709869385, -0.13943472504615784, -0.5807836055755615, -1.6060426235198975, 0.15544818341732025, -0.5705437660217285, -0.44452008605003357, 0.22405187785625458, -0.05405696853995323, 0.7909826040267944, -0.049005232751369476, -0.9064145684242249, 0.19956205785274506, 0.3561614155769348, 0.07805643230676651, -0.5829976201057434, -0.9449039101600647, 0.0028786470647901297, 0.3363036513328552, 0.4178903102874756, -0.9539821743965149, -1.543631672859192, -0.4645332098007202, -0.3527699112892151, -0.3149760067462921, -0.5117036700248718, 0.07184974104166031, -1.0181987285614014, 0.025563934817910194, 0.28279221057891846, -0.8371128439903259, 0.1839800924062729, -0.20265543460845947, -0.8165057897567749, -0.3513047695159912, -0.31996142864227295, 0.8682325482368469, -0.4233323931694031, 0.16140881180763245, 0.01722310669720173, -0.41604721546173096, 0.0784294456243515, -0.2025773823261261, -0.383073091506958, 0.6281967759132385, 2.090606451034546, -1.0553514957427979, -0.24703280627727509, -0.17136599123477936, 1.4019354581832886, -0.32666653394699097, 0.38444048166275024, -0.3423127830028534, 1.4001901149749756, -0.09427264332771301, 0.11008884757757187, -1.5526766777038574, 1.0960261821746826, 0.7873668670654297, -1.2991721630096436, -0.1918228268623352, 2.221621513366699, -0.33659788966178894, -0.3290228843688965, 1.1097569465637207, -0.30440983176231384, 0.8852900862693787, 0.12646396458148956, 0.0377974808216095, -0.15043357014656067, 0.2552897036075592, -0.18680033087730408, 0.1294838935136795, -0.9573920965194702, 1.0799932479858398, 0.9097573757171631, 0.5414860844612122, -0.5745500922203064, -0.015688149258494377, 0.19103847444057465, 0.29775580763816833, -0.44597527384757996, -0.6775178909301758, 0.14756377041339874, 0.2791764438152313, 0.45921194553375244, 0.14063569903373718, -0.07018090784549713, 0.2624348998069763, 0.19639921188354492, 0.6152092218399048, -0.06058843433856964, -0.5140877962112427, 0.41050031781196594, -0.7344737648963928, -0.14809219539165497, -1.4825029373168945, 0.1609947383403778, 1.0542476177215576, 0.9370084404945374, 0.5336918830871582, -1.134799599647522, 0.8805692791938782, -0.17910046875476837, -0.1176963746547699, 1.0038410425186157, -0.8184115290641785, 1.277611494064331, 0.3068160116672516, -0.8744845390319824, -0.23536473512649536, -0.4049932360649109, 0.7046173214912415, 0.22385071218013763, -0.1429516077041626, -0.5373198390007019, 0.3963712155818939, -0.28261303901672363, 1.1734834909439087, -1.5989198684692383, 0.38540104031562805, 0.24792012572288513, 0.17990624904632568, 0.1707594245672226, -0.28717759251594543, -1.075011968612671, -0.5391572117805481, 0.9949461817741394, 0.0404500737786293, 1.3928945064544678, -0.8118510246276855, -0.14526352286338806, 0.44706055521965027, 0.228974387049675, 0.4628520607948303, 0.0899161845445633, 0.47132551670074463, 0.06928544491529465, 0.716096043586731, 0.15265895426273346, -1.0117197036743164, -0.10028035938739777, -0.6524713635444641, 0.3843359649181366, -0.39416733384132385, -1.1327626705169678, -0.5704900622367859, -1.2093989849090576, -0.31342050433158875, -0.9947869777679443, 1.0738455057144165, -0.940171480178833, 0.14465667307376862, 0.4013383984565735, -0.030179206281900406, -0.984958291053772, 0.14590424299240112, 0.36012929677963257, -0.22864235937595367, 0.06572119146585464, -0.42271268367767334, -0.06340239942073822, -0.5065951943397522, 1.0885839462280273, 0.9168628454208374, -1.5211783647537231, 0.2774277925491333, -0.23139838874340057, -0.22788675129413605, 0.28898191452026367, -0.17399151623249054, 0.807743489742279, -0.8460400104522705, -0.33298835158348083, -0.32029229402542114, -0.9450424313545227, 0.18286685645580292, 1.168395757675171, 0.24149750173091888, 0.1194911003112793, -0.2117718756198883, 0.6040942668914795, -0.15850086510181427, -0.8699321150779724, 0.6219159364700317, -0.21898438036441803, -0.2546525001525879, 0.4231764078140259, 1.280631422996521, -0.25059258937835693, 0.7663182020187378, 0.30828121304512024, -1.7699213027954102, -0.11711528152227402, -0.42024388909339905, 1.85624098777771, 0.8519278764724731, 0.3155013918876648, 1.1521023511886597, 0.511048436164856, -0.59869384765625, 0.2872556447982788, 0.20115266740322113, -1.5509456396102905, -0.16106322407722473, -0.13503636419773102, -0.0713757574558258, 0.029664887115359306, 0.3051561415195465 ]
1,003
0704.1005
Ben Weinkove
Jian Song and Ben Weinkove
Constructions of Kahler-Einstein metrics with negative scalar curvature
22 pages
Math. Ann. 347 (2010), no. 1, 59-79
null
null
math.DG
null
We show that on Kahler manifolds with negative first Chern class, the sequence of algebraic metrics introduced by H. Tsuji converges uniformly to the Kahler-Einstein metric. For algebraic surfaces of general type and orbifolds with isolated singularities, we prove a convergence result for a modified version of Tsuji's iterative construction.
[ { "created": "Sat, 7 Apr 2007 21:51:43 GMT", "version": "v1" } ]
2018-12-14
[ [ "Song", "Jian", "" ], [ "Weinkove", "Ben", "" ] ]
07
[ -0.8787459135055542, -0.5717955827713013, 0.7345554232597351, 0.7619495391845703, -0.19858258962631226, -0.13084647059440613, 0.618594765663147, -0.30302661657333374, -0.04919629544019699, -0.35491514205932617, 0.2568461298942566, 0.9220386147499084, 0.01651645451784134, -0.02169976569712162, 1.520073413848877, -0.1797531694173813, -0.6617931127548218, -0.2520667016506195, 0.3217548131942749, 0.14143256843090057, -1.0255050659179688, -1.0491279363632202, 0.50661700963974, -0.8814476132392883, -0.4240119755268097, -0.41188156604766846, -0.27361708879470825, -0.04874008148908615, -0.603075385093689, -1.1268664598464966, 0.024399304762482643, 0.3657940626144409, -0.1188620924949646, 0.6288116574287415, 0.28861796855926514, 0.04979052022099495, -0.3354673981666565, 0.1506487876176834, -1.7688812017440796, -0.35743802785873413, -0.5229939818382263, 0.11977743357419968, -0.22659945487976074, 0.11496181786060333, -0.8014798164367676, -0.6978289484977722, -0.6332501173019409, 0.8602784872055054, 0.8383753299713135, 0.255669504404068, -0.128579244017601, 2.620178461074829, 1.2002841234207153, -0.027387024834752083, 1.5819615125656128, 0.7403885126113892, 1.284703016281128, -0.683585524559021, -0.7159343361854553, -0.9240491390228271, 0.09034417569637299, 0.038881443440914154, 0.14389055967330933, 1.9871095418930054, -0.6180883646011353, -0.8372619152069092, 0.26968130469322205, 0.21935471892356873, 0.40868523716926575, 1.3169777393341064, 0.7124298810958862, -0.24708153307437897, -1.5850839614868164, -0.7004411220550537, -1.2453325986862183, -0.8027007579803467, 1.1255295276641846, 0.5854285955429077, 0.20089146494865417, 0.4841594696044922, -0.43175432085990906, 0.20731154084205627, 0.02578835003077984, 1.8958970308303833, 1.1034575700759888, -0.33663132786750793, 0.465660035610199, 0.5064525604248047, -0.4217146635055542, 1.13992178440094, -0.2700280547142029, -0.441583514213562, -0.22862647473812103, 1.1108267307281494, -0.06762642413377762, -0.9985644817352295, -0.4582493305206299, 0.0017684331396594644, -0.5807729363441467, 1.751807689666748, 0.3881389796733856, -1.4142416715621948, -0.26411813497543335, 0.4800162613391876, -0.6794064044952393, 0.6682779788970947, 0.1105000302195549, 0.04901057481765747, 0.42057353258132935, -0.6699546575546265, -0.0417371466755867, -0.7179707288742065, 0.7980231642723083, -1.2019882202148438, -1.7859128713607788, -0.716120183467865, -0.3480285704135895, -0.2042175829410553, -0.9403262734413147, -0.5455828309059143, -1.1947813034057617, -0.09122289717197418, 2.018596649169922, -0.8442660570144653, 0.8471590280532837, 0.24451033771038055, -1.151394248008728, -0.7630553245544434, -0.19164808094501495, -1.8780895471572876, -0.46740734577178955, -0.7146291136741638, 1.523490071296692, -1.5848047733306885, -0.0577973946928978, -0.17277154326438904, -0.3146463930606842, -0.7211714386940002, -0.11225178837776184, -0.5696702003479004, 0.06010625883936882, 0.07028543949127197, 0.5510205030441284, 1.791948676109314, 0.7626745700836182, -0.2319747656583786, 0.7167434692382812, 0.15654590725898743, 0.9268748164176941, -0.2678065896034241, -0.3397124707698822, -1.0400432348251343, 1.23399817943573, 1.5084571838378906, -0.05053926631808281, 0.1327262967824936, -0.13275155425071716, -0.6522834300994873, 0.12012206763029099, 0.5533493757247925, -0.9006904363632202, -0.18929509818553925, 0.6783949136734009, -0.5814964771270752, 0.6893242597579956, -0.9519505500793457, 0.10137477517127991, 0.264744371175766, 1.070602297782898, 0.8765466809272766, -1.4982448816299438, -0.34395694732666016, 0.245012104511261, -0.5719142556190491, 0.7736147046089172, -1.2017734050750732, 0.45590201020240784, -0.11943858861923218, -0.43102630972862244, -0.045284513384103775, -0.31464341282844543, -0.7628342509269714, -1.5336312055587769, 0.684174656867981, -0.43517136573791504, -0.3609382212162018, 0.9630364775657654, -1.1299552917480469, 0.025823762640357018, 0.6077888011932373, -0.5930101871490479, -0.6509281396865845, -1.1011077165603638, -1.2894278764724731, 0.23745714128017426, 1.0382494926452637, 0.38608890771865845, 0.07549627125263214, 1.0736790895462036, 0.8474823236465454, 1.5473798513412476, -0.304269015789032, -1.5453015565872192, 0.6814947724342346, -2.9102561473846436, 0.7841071486473083, -0.041205521672964096, 0.18423688411712646, -0.14477095007896423, -0.7923213243484497, -0.1427689790725708, -0.27135658264160156, 0.49718695878982544, -1.2642264366149902, 0.810094952583313, -0.13354679942131042, 1.1622117757797241, 0.28974276781082153, -0.2921279966831207, 0.06213412061333656, -0.19642262160778046, 0.08470185101032257, -0.17792680859565735, 1.3326385021209717, -0.5581461191177368, 0.6665867567062378, -0.34462639689445496, -0.008419676683843136, 0.8183775544166565, -0.4245328903198242, -0.5859398245811462, 0.4549013674259186, -0.7618210911750793, -1.0875158309936523, -0.26516634225845337, -0.21213679015636444, -0.8597856760025024, -0.39890503883361816, -0.7158451676368713, 0.3369974195957184, -1.0053210258483887, 2.235375165939331, -0.010529992170631886, -0.5537256002426147, -0.27753788232803345, 0.46111759543418884, 0.9299994707107544, -1.3324940204620361, 1.2332375049591064, -0.21010349690914154, 0.22347790002822876, 0.40071308612823486, 0.3088470995426178, -0.9661354422569275, 0.09248367697000504, -0.19064968824386597, 0.4987674951553345, 0.40863776206970215, -0.6104652285575867, 0.9465476870536804, -0.06258869171142578, -0.7530253529548645, 0.33745166659355164, 1.17258882522583, 0.0947357714176178, -1.537086009979248, 1.0050827264785767, 0.024103358387947083, 2.355637311935425, -0.7942360043525696, -1.2542529106140137, -0.07969886809587479, 0.1851300299167633, 0.6243324875831604, 0.33099284768104553, 0.5714490413665771, -0.48771318793296814, -0.3466333746910095, 0.037759482860565186, 0.7077353596687317, 0.6201179623603821, 1.2521322965621948, -0.36515989899635315, 1.325758934020996, 0.8064079284667969, 0.2530030310153961, -0.6500686407089233, 0.3110028803348541, -0.4487409293651581, -1.2185871601104736, 0.8174178004264832, -0.8011610507965088, -1.0683603286743164, -0.22266435623168945, -1.5802671909332275, -0.41071662306785583, -0.7381015419960022, 0.8647494316101074, -0.6882374882698059, -0.205645352602005, -0.2156188189983368, -0.2100917398929596, -0.7147007584571838, 0.8769857287406921, -0.06639529764652252, -0.27351921796798706, -0.9640558362007141, 0.22034747898578644, 0.16799426078796387, -0.18990182876586914, -0.030970675870776176, 1.474886417388916, -0.8112895488739014, -1.499764323234558, 0.6688730120658875, 0.5360515117645264, -0.38083383440971375, -0.09470921754837036, -0.05478469282388687, -1.503798246383667, 0.7446407675743103, 0.4934852123260498, 1.0171087980270386, 0.7579600214958191, 0.86940598487854, -0.19668391346931458, 0.16371306777000427, -0.37169820070266724, -0.0647423192858696, -0.5488734245300293, 0.9558925032615662, -0.7098513245582581, -0.43618044257164, 0.42377373576164246, -0.5090346336364746, -0.08278463780879974, -0.5753066539764404, 0.17796818912029266, 0.5999540090560913, 0.33897700905799866, 1.5333880186080933, 1.218667984008789, 0.11034329980611801, -0.7456338405609131, -0.6377569437026978, 0.3088471591472626, 0.16873514652252197, -0.1992383897304535, -1.1043505668640137, 0.5194941163063049, 0.302676796913147, 1.7387253046035767, -0.49637749791145325, 1.5261482000350952, 0.2557857036590576, -0.3470686376094818, -0.21329516172409058, -1.2365200519561768, 0.20858733355998993, 0.2597379982471466, 0.3420320153236389, -0.1803520917892456, 0.6185745000839233, -0.7215102910995483, 0.41463255882263184, 0.7311686873435974, -0.5069348812103271, -0.2182854861021042, 0.7343422770500183, -0.6042115688323975, -0.8198820352554321, 0.29491376876831055, -1.063057541847229, 0.3767799437046051, -0.5314192771911621, -0.36527082324028015, -0.1883573979139328, -0.16901834309101105, -0.09648005664348602, 0.4866941571235657, 0.0965203270316124, 0.639851987361908, 0.4516986906528473, -1.2174838781356812, 0.5946801900863647, -0.2400927096605301, -0.11759767681360245, -1.2783560752868652, -0.24847795069217682, -0.40295857191085815, 0.7329703569412231, 0.10147344321012497, 0.42224931716918945, -0.44301140308380127, -0.5493383407592773, 0.9749125242233276, -1.408456563949585, -0.8593845963478088, 0.6688191294670105, 0.446591317653656, 0.38483425974845886, 0.202051043510437, -0.18629157543182373, -1.5472193956375122, -0.07383199036121368, -0.14348675310611725, -0.7816135883331299, 1.465692400932312, -0.21231192350387573, -0.17458218336105347, -0.046669069677591324, 0.8475773930549622, -0.2760268449783325, 0.3977774381637573, -0.6803943514823914, 0.5599689483642578, -1.8008573055267334, -1.7521426677703857, 0.6032635569572449, -0.9979296922683716, 0.5536704063415527, -0.49245500564575195, 0.35525423288345337, 0.713394284248352, -0.2317768633365631, -0.10748382657766342, -0.7285907864570618, -0.7328026294708252, -0.5591340065002441, -0.28566357493400574, 1.1997483968734741, -0.5393589735031128, -1.3391841650009155, -0.5075592398643494, -1.2886466979980469, 0.7017977833747864, -0.3247934877872467, 0.7213973999023438, 0.4392693042755127, -0.01788642257452011, -1.602312684059143, 0.6046532392501831, -0.1539282351732254, -0.045014724135398865, -0.21969328820705414, -0.758385181427002, 0.4521392583847046, 1.4443501234054565, -0.12159310281276703, -0.3319503366947174, -0.2029736340045929, -0.24857884645462036, 1.1512948274612427, 0.08899663388729095, 1.0235817432403564, 0.7087934613227844, 0.024981124326586723, -0.6478685736656189, -0.57535719871521, -0.13251493871212006, 0.10132189095020294, -0.1004403680562973, 0.5279644131660461, -0.1318647712469101, -0.29411619901657104, -0.27946537733078003, -0.1909647136926651, 0.7867471575737, -0.6834414601325989, 0.3568984866142273, 0.38278263807296753, -0.6663602590560913, -1.1514253616333008, 0.8439487218856812, -0.11046992242336273, -1.2567329406738281, 0.2660115957260132, 0.09865764528512955, 1.0819029808044434, 0.7517479658126831, 0.8379894495010376, -0.31363996863365173, -0.05178322270512581, 0.12209700047969818, -0.4603109061717987, -1.22188138961792, 0.019894946366548538, -0.8292029500007629, 0.5081900954246521, 0.5486685037612915, 0.12521426379680634, -0.49275025725364685, -0.20288003981113434, -0.6241557598114014, -0.310154527425766, 0.0370914489030838, 0.8885896801948547, -0.42788493633270264, 0.25344476103782654, 0.4333065450191498, -0.38369569182395935, 0.3737829327583313, 0.5656531453132629, -0.6401283740997314, -0.4334605932235718, -0.37590551376342773, -1.2368066310882568, 1.0096553564071655, 0.9449986815452576, 0.9845892190933228, 0.12162239104509354, 0.24755489826202393, 0.307914137840271, 0.013500564731657505, 1.1481382846832275, -0.698530912399292, 0.7435914278030396, -3.4835662841796875, 0.9339960217475891, -0.6096997261047363, 0.03322312980890274, -0.7410005331039429, -0.046350520104169846, -0.1437584012746811, 0.13490089774131775, -0.25987452268600464, -0.35104668140411377, 0.33601105213165283, -0.4782331883907318, 1.1633737087249756, -0.23421183228492737, -0.7711668014526367, 1.0416563749313354, -0.7917312979698181, -0.46468228101730347, -0.17525453865528107, 0.2884678840637207, -0.6141351461410522, 0.8637909293174744, -1.6217892169952393, -0.05645139142870903, -0.1013123020529747, -0.2751026749610901, -0.11213193088769913, 0.8144633769989014, 0.3263362646102905, 1.0253219604492188, 0.07893358916044235, 0.05827078968286514, 1.8175207376480103, 0.45660099387168884, 0.15478596091270447, 0.8134135007858276, 0.19839723408222198, -0.2509130537509918, -1.3771064281463623, -6.852975368499756, -0.29135948419570923, -0.39103007316589355, -0.741744339466095, 0.21575970947742462, -0.3577110767364502, 0.2598980665206909, 0.14053422212600708, 0.8656125664710999, 0.733399510383606, 0.2870824933052063, 0.3657877445220947, -1.1878377199172974, -1.1525954008102417, -0.8209802508354187, 0.30456113815307617, -0.15592962503433228, 0.16540461778640747, -0.6855576038360596, 1.0744540691375732, 0.6063534021377563, -0.792740523815155, 0.07647540420293808, -0.4969680905342102, 0.03906703740358353, 0.12301477789878845, -0.7201278209686279, -0.8374210000038147, -0.3462904095649719, 0.5160370469093323, 0.12245870381593704, 1.0536898374557495, -0.19764122366905212, 0.607185423374176, -1.0213454961776733, -0.9612463712692261, 0.1267344206571579, -1.477404236793518, 0.7731608152389526, -0.5601382255554199, 0.6288725137710571, -0.8649614453315735, -0.09868321567773819, -0.15921692550182343, -0.11318227648735046, -0.042328495532274246, 0.31684932112693787, 1.3024801015853882, 0.005738128442317247, -1.271608829498291, -1.2964650392532349, 0.08727123588323593, 0.9895511269569397, -0.766854465007782, -0.11465012282133102, -0.428329735994339, 0.10353538393974304, -1.242624044418335, -1.0693644285202026, 0.15548573434352875, -0.44801604747772217, -0.36424219608306885, -0.07141787558794022, 0.5127604603767395, 0.08504413813352585, 1.3257546424865723, 0.31558072566986084, -0.47027337551116943, 0.10915284603834152, 0.8033987879753113, -0.977156400680542, 0.38880258798599243, 1.2594053745269775, 0.04826285317540169, 0.1245492473244667, -1.1311864852905273, -0.003920134622603655, 1.6858092546463013, 0.7196913361549377, 0.5409598350524902, 0.3764820992946625, 0.8091526627540588, -0.4456932842731476, -0.02142990566790104, -0.6101149916648865, -0.478548526763916, -0.029637953266501427, 0.692111074924469, 0.4979405701160431, -0.3261735141277313, 0.5122061371803284, 0.21905577182769775, -1.0142379999160767, -0.8608322143554688, 0.12478089332580566, -0.029665544629096985, -0.6163636445999146, -0.9124016761779785, 0.0269553791731596, -0.6688006520271301, 0.4396061897277832, -0.0009939332958310843, -0.6064069867134094, -0.13465096056461334, 1.592483401298523, -0.7087838053703308, 0.08997213840484619, -0.912649393081665, -0.0753500685095787, -0.3722805082798004, 0.42189645767211914, 0.03284396976232529, 0.5343791246414185, 0.43343743681907654, -0.8333927392959595, -0.29809626936912537, -0.05580812692642212, -0.6205554604530334, 0.4813816547393799, -0.7930111289024353, 0.6674336194992065, -0.9246163368225098, 0.36991751194000244, 0.6797236800193787, 0.11670875549316406, -0.6090637445449829, -0.959094762802124, 0.059592265635728836, -0.9179203510284424, 0.1160431057214737, -1.3378678560256958, -0.24010056257247925, -0.829102635383606, -0.15983624756336212, 0.07716181129217148, 0.6395876407623291, 0.6877110600471497, 0.022941352799534798, -0.15791824460029602, -0.16627022624015808, -1.480230689048767, -0.7605507373809814, -0.10889182239770889, 0.6696082949638367, 0.18405337631702423, -0.3139991760253906, -0.012388653121888638, -0.7807642221450806, -1.0709303617477417, -0.12588447332382202, 0.749484121799469, -0.14827026426792145, 1.3592147827148438, -0.7862011790275574, -1.0027670860290527, -0.6049420237541199, -0.1441253274679184, -1.0082334280014038, 0.024221686646342278, -0.5323486328125, -0.4749128222465515, -0.2860630750656128, 0.18223634362220764, 1.2603492736816406, 1.594002366065979, 0.5674542784690857, 0.23966409265995026, -0.3029825687408447, 0.5406950116157532, 0.5067490339279175, -0.6245937943458557, -0.36776646971702576, -0.7406811118125916, -0.25828853249549866, 1.5471580028533936, -0.1192348301410675, -0.022640828043222427, 0.37878116965293884, -0.21524342894554138, -0.8996478915214539, 0.6330184936523438, 0.22138603031635284, -0.4140457510948181, 1.2054282426834106, 0.08393146097660065, 0.23287351429462433, -1.9025946855545044, 1.0459634065628052, 1.2261923551559448, 0.46656811237335205, 0.0036757364869117737, -0.5468937754631042, -1.3184943199157715, 0.43688055872917175, -1.2485902309417725, -0.23087118566036224, -0.6393740177154541, 0.2795847952365875, -0.17751134932041168, -0.5316160917282104, 1.3790998458862305, 0.7202081084251404, -0.30273008346557617, 0.10490380227565765, -1.4289939403533936, -0.32208383083343506, -0.6722672581672668, 0.7160218358039856, 0.23833157122135162, -0.3507380485534668, -0.34595707058906555, -0.4044922888278961 ]
1,004
0704.1006
Andr\'es Navas
Victor Kleptsyn, Andres Navas
A Denjoy Theorem for commuting circle diffeomorphisms with mixed Holder derivatives
14 pages, 4 figures
null
null
null
math.DS
null
We prove that if d is an integer number bigger than 1 and f_1,...,f_d are commuting circle diffeomorphisms respectively of class C^(1+\tau_k), where \tau_1 + ... + \tau_k > 1, then these maps are simultaneously conjugate to rotations provided that their rotation numbers are independent over the rationals.
[ { "created": "Sun, 8 Apr 2007 00:11:32 GMT", "version": "v1" } ]
2007-05-23
[ [ "Kleptsyn", "Victor", "" ], [ "Navas", "Andres", "" ] ]
07
[ 0.5724080801010132, -0.10418594628572464, -0.17993423342704773, 1.0831297636032104, -0.23560446500778198, -0.5256041288375854, 0.02621540240943432, -0.43026548624038696, -3.0668187141418457, 0.2891218066215515, 0.9136097431182861, 1.5257378816604614, -0.46258166432380676, -0.5695621967315674, -0.2716313898563385, 0.10515637695789337, -0.6445261836051941, -0.524107038974762, -0.40637868642807007, -0.17153078317642212, -0.40158143639564514, -1.006649374961853, -0.12382914870977402, -0.8434191942214966, -0.6624841094017029, 0.4688428044319153, 0.7043071985244751, -0.9220243692398071, 0.028589867055416107, 0.20847159624099731, -0.5139999389648438, -0.6840932965278625, -2.197025775909424, -0.6718566417694092, 0.08405434340238571, -0.05203201249241829, -0.5765014886856079, -0.3489454686641693, -1.306242823600769, -0.28206220269203186, -0.0688525065779686, -0.9151131510734558, -1.1347806453704834, -0.9144197702407837, -0.39808863401412964, -1.7106059789657593, 0.6707665920257568, -0.17371544241905212, 0.30025506019592285, 0.8250860571861267, 0.056448470801115036, -0.7635644674301147, 0.11252712458372116, -1.4191956520080566, 0.7079315781593323, 0.40861180424690247, 0.41364848613739014, -0.38443827629089355, -0.7419725060462952, 0.6918612718582153, -0.5816395878791809, -0.09134405106306076, -0.46974197030067444, 0.8974812030792236, -0.06717445701360703, -0.6923518180847168, -0.26518577337265015, 0.05530383065342903, 0.055388327687978745, 1.5667610168457031, 1.0297646522521973, -0.3067666292190552, -0.6385961771011353, -0.26718199253082275, 0.16362768411636353, 0.7404173612594604, -0.018347840756177902, 0.5954001545906067, 0.5377115607261658, 0.5006689429283142, 0.91835618019104, 1.1470766067504883, -0.5207276344299316, 0.9065316319465637, 0.04977753385901451, 0.32395172119140625, 0.5916848182678223, 0.9426308274269104, -0.9117966890335083, 0.67430180311203, 0.0496782585978508, 0.10280519723892212, 0.08080428838729858, 0.14223012328147888, 0.7272007465362549, -0.21248632669448853, 0.6484530568122864, -0.5902189016342163, -0.6356274485588074, 0.12381669878959656, 0.664176344871521, 0.7908873558044434, -0.15015700459480286, 0.5234590172767639, 0.0244152769446373, 0.2819935083389282, 0.8566559553146362, 0.29048609733581543, 0.9312310814857483, 0.26065129041671753, -0.27214205265045166, -0.8955967426300049, 0.9391903281211853, -0.6052358746528625, -0.7239236831665039, 0.7528369426727295, -0.33606743812561035, 0.19668777287006378, -0.1713993102312088, -0.3996228575706482, -0.3943859040737152, 0.17257380485534668, 1.008489966392517, -1.2915517091751099, -0.4422236382961273, 0.4778635799884796, -1.0014336109161377, 0.1910971701145172, -0.7213191986083984, -0.25831180810928345, -0.3250862658023834, -0.10217844694852829, 0.29533785581588745, -0.535814106464386, 0.04143228009343147, -0.6454558968544006, 0.5512092709541321, 0.27788710594177246, 0.16655263304710388, 1.1704587936401367, -1.2769895792007446, -0.5648570656776428, -0.5562045574188232, -1.76528000831604, 0.9377728700637817, -0.12673461437225342, -0.25270646810531616, 0.2952530086040497, 0.5664032697677612, -2.011361837387085, -0.4147280156612396, 0.08590567857027054, 1.0502156019210815, 1.0761696100234985, -0.1396798938512802, -0.26835960149765015, -0.49830567836761475, 0.5453428626060486, -0.17933811247348785, -0.00796023290604353, 0.6348276138305664, -0.5038424134254456, -1.1918495893478394, -0.7939847707748413, -0.2033659666776657, -1.6595447063446045, -0.6358348727226257, -0.43256261944770813, 0.837684690952301, -0.8594748377799988, -0.7725345492362976, 0.7137957215309143, 0.46422696113586426, 1.169567584991455, 0.8522171974182129, 0.7936630249023438, -0.19157806038856506, -0.28085577487945557, 0.22933025658130646, -0.31009456515312195, -1.0914357900619507, 0.48546937108039856, -0.4813403785228729, 0.45255643129348755, 0.025636853650212288, -1.3682438135147095, -0.6577902436256409, -0.3126147985458374, -1.173457145690918, -0.11830710619688034, -0.8462358117103577, -0.5535897016525269, -0.19340310990810394, -0.7540079951286316, -0.23118680715560913, 0.6808328032493591, -0.40339359641075134, 0.3495572507381439, -0.44821086525917053, -1.265967607498169, -0.06107667088508606, -0.38152337074279785, -0.7670389413833618, -0.16587479412555695, -2.6349849700927734, 1.1790473461151123, 0.18643946945667267, 0.09380928426980972, -0.1616268754005432, -0.2280576378107071, -0.27012544870376587, -0.15730050206184387, -0.11508078128099442, 0.13384729623794556, -0.7302260994911194, -0.07592008262872696, -1.0686986446380615, 0.38992178440093994, 0.9046769738197327, 0.5289697051048279, -1.0105880498886108, 0.6363981366157532, -0.9599826335906982, 0.47994357347488403, -0.2959182858467102, 1.6401273012161255, 0.022634511813521385, -0.380340576171875, -0.35614457726478577, -0.49233880639076233, -0.25405189394950867, -0.43193602561950684, -0.40613216161727905, -0.7174077033996582, 0.2748478353023529, 0.8404499292373657, -0.28260889649391174, -0.881486177444458, 0.5630525946617126, 1.8489141464233398, -1.3082963228225708, 0.6779350638389587, -0.27066782116889954, 0.12876170873641968, -0.5421465039253235, 0.62972092628479, 0.3832564055919647, 0.7842743992805481, 1.526282787322998, 0.05236830562353134, 0.4896543323993683, 0.029305344447493553, 0.1309870481491089, 0.3111044466495514, -0.8436790108680725, 0.3870968222618103, -1.1297876834869385, -2.0518603324890137, -0.9755875468254089, -0.010705850087106228, -1.427141785621643, -0.45957207679748535, 0.7562836408615112, 0.2100406289100647, 1.2853412628173828, -0.16600210964679718, -0.5888999104499817, -0.14759303629398346, -0.4821929335594177, 0.8505523204803467, -0.9803531169891357, 0.574682891368866, 0.8637587428092957, 0.635469913482666, 0.4581494629383087, -0.020965993404388428, -0.09474685788154602, -0.40368613600730896, -0.6368270516395569, -0.4657747447490692, -0.7752607464790344, 0.07906197756528854, 0.07499691098928452, -0.6849778294563293, -1.189814805984497, 0.4775603413581848, 0.057856567203998566, -0.28518375754356384, 0.846897542476654, 0.043059512972831726, 0.18559516966342926, -1.2017534971237183, 0.323625385761261, -0.11907647550106049, 0.05421223118901253, -0.2733462452888489, -0.010205872356891632, -0.012342065572738647, -0.25462380051612854, 0.41600579023361206, 0.3327829837799072, -0.31170815229415894, -0.5647900700569153, -0.3917078673839569, 0.2750703990459442, 0.5146781802177429, -1.2574206590652466, 0.14406634867191315, -0.3982938826084137, 0.5139948725700378, -0.438313364982605, 1.2339119911193848, 0.9634698033332825, -0.5388415455818176, -0.919243335723877, 0.6149501204490662, -0.2971143424510956, -1.147194743156433, 0.9837809205055237, -0.25145259499549866, 0.09060201048851013, 0.3903428912162781, 1.8031001091003418, 0.397702157497406, 1.0018504858016968, 0.07674451917409897, 0.3863392472267151, 0.07339374721050262, 0.038219235837459564, -1.1355496644973755, -0.028200874105095863, -0.21579180657863617, -0.6668155789375305, -1.263852834701538, -0.9498854875564575, -0.949916660785675, -0.4322395324707031, -0.6869291067123413, -1.037221074104309, -0.8020952343940735, 0.3167431950569153, -0.4743432104587555, 0.3389849364757538, -0.565949022769928, -0.538654088973999, -0.178418830037117, 0.28484827280044556, 0.7630000710487366, -0.20680029690265656, -0.699677586555481, 0.6549150943756104, -0.8710915446281433, -0.4987655282020569, 1.431015133857727, -0.024290818721055984, 0.11045163869857788, 0.3859831392765045, -0.3880789875984192, 1.0596028566360474, 1.0411440134048462, 0.0002129501081071794, 0.08334144949913025, -0.39947083592414856, 0.8471110463142395, 0.09812166541814804, 0.4574585556983948, 0.4244663715362549, -0.6861937642097473, -0.06434247642755508, 0.02131764590740204, -1.3244428634643555, -0.39832547307014465, -0.7771170139312744, 0.9029856324195862, -0.45540502667427063, 0.5093382000923157, -0.8377104997634888, -0.11309093236923218, 0.503833532333374, 0.0006577547173947096, -0.06784331798553467, 0.40269798040390015, 1.323823094367981, -0.46536895632743835, 0.8722065687179565, -0.04769950360059738, 0.4100590944290161, -0.2169189751148224, -0.49042922258377075, -0.5582463145256042, 1.2864301204681396, 0.18746665120124817, 0.39576125144958496, 0.12693552672863007, -1.1110278367996216, 1.386799693107605, 0.856131374835968, -1.2407785654067993, -0.8720214366912842, 1.988593578338623, 0.4359382092952728, -0.3982604146003723, -0.9381409883499146, 0.07366475462913513, 0.7545361518859863, 1.674818992614746, 0.09963765740394592, 0.06505313515663147, -1.1274789571762085, 1.0783343315124512, -0.26737359166145325, -0.1767001748085022, 0.20922069251537323, 0.09450314939022064, -0.9340208172798157, -0.21344679594039917, -1.3233150243759155, -0.8264303803443909, 1.880697250366211, -0.23006892204284668, 0.07225463539361954, -0.44988396763801575, -0.33792296051979065, 1.1821292638778687, 1.0843815803527832, 0.2064356803894043, 0.14277967810630798, 0.7425700426101685, -0.5556195974349976, 0.2752935290336609, -0.8187803030014038, 0.414088636636734, -0.5730003118515015, -0.5466324687004089, 0.2652707099914551, 0.39039644598960876, -0.05876711755990982, 1.7568514347076416, -0.9181522130966187, -0.08528421074151993, 0.35604923963546753, 1.5766496658325195, -0.40828853845596313, 0.014446603134274483, -1.161688208580017, -0.7579192519187927, 0.6661357283592224, 1.2467488050460815, -0.9735379815101624, -0.9756291508674622, -0.2053247094154358, -0.33765217661857605, 0.5431414246559143, 0.523294985294342, 0.6683158278465271, -0.217705637216568, 0.1498696655035019, 0.8527910709381104, 0.23635044693946838, -1.117789387702942, -0.4661445915699005, -0.0406625010073185, 1.7386119365692139, -0.19534815847873688, 0.21131356060504913, -0.5031388998031616, 1.1392314434051514, -0.4703800678253174, 0.5769504308700562, 1.875171422958374, 0.10518895089626312, -1.5835323333740234, -0.9629473686218262, -1.2993974685668945, -0.7175760269165039, -0.6925042867660522, 1.0345638990402222, 0.6118581295013428, 1.0951836109161377, 1.2183486223220825, 0.7132525444030762, 1.1627118587493896, -0.5097448229789734, -0.9190008044242859, 0.27905774116516113, 1.2552889585494995, 0.011530272662639618, 0.5590916872024536, 0.026239721104502678, 0.18846429884433746, 0.11773693561553955, -0.14438296854496002, 0.6357687711715698, 0.47685980796813965, -1.512324571609497, -0.0694543793797493, -0.24727916717529297, 0.19308049976825714, -0.7338405251502991, 0.24100404977798462, -0.07875286042690277, 0.40985170006752014, -0.8989521265029907, 0.6907544136047363, -1.44124174118042, 0.8156650066375732, 0.06465566158294678, 0.27697813510894775, -1.044755220413208, 0.16867899894714355, 0.7955907583236694, 0.09695803374052048, 0.7913589477539062, 0.5272762179374695, 0.9216747283935547, -0.22443348169326782, -0.9171180129051208, -2.3328170776367188, 0.5674626231193542, 1.8373100757598877, 1.199064016342163, -0.055801838636398315, -0.6300782561302185, -0.2027100771665573, -0.03544748201966286, -0.14514432847499847, -1.133542537689209, 0.582735002040863, -0.11625824123620987, -0.8756547570228577, -0.7079901099205017, -0.6365952491760254, -1.6348081827163696, -0.21247117221355438, 0.2823738753795624, 0.44242459535598755, -0.8294442296028137, -0.07958502322435379, -0.40253201127052307, 0.0544256791472435, -0.20354454219341278, -0.6019958853721619, 1.5370304584503174, -0.2678505480289459, 0.29523709416389465, 0.4656299352645874, 0.24830573797225952, -0.7450253367424011, -1.452066421508789, 1.4661184549331665, -0.4842815697193146, 0.17255042493343353, -0.7250087857246399, 0.2936142086982727, 0.3478303551673889, 0.25022509694099426, -6.704004764556885, -0.1151699647307396, -0.008426615037024021, -0.08703485876321793, 0.11756082624197006, -0.8628473877906799, 0.39633187651634216, 0.9935239553451538, 0.5581820607185364, 0.34529632329940796, -0.046545304358005524, -0.3597785532474518, -1.5249173641204834, -0.3850040137767792, 0.26555100083351135, -0.48034197092056274, -0.881666362285614, 0.269546240568161, -0.3204784095287323, -0.44389113783836365, -0.18134480714797974, -1.4166353940963745, 1.0697978734970093, 0.8253334760665894, 0.2149716168642044, -1.4396840333938599, -0.23437058925628662, -0.013926682993769646, 0.5723077654838562, 0.2564166188240051, -1.1436353921890259, -0.16551190614700317, -0.06602301448583603, -0.04952767863869667, 0.40458789467811584, 1.1925609111785889, -0.6045916080474854, 0.2892399728298187, -0.03776869922876358, -1.6780736446380615, 0.6778475046157837, -2.130655527114868, -0.575986385345459, -0.901732861995697, -0.6951491236686707, -0.6420565247535706, -0.13501858711242676, 1.520145297050476, 0.36782705783843994, 0.513525128364563, 0.3523508608341217, 1.7336856126785278, 0.3315703272819519, -0.6426514387130737, 0.5653303861618042, 0.211819589138031, 0.6812304854393005, -0.04300091415643692, -0.8508080840110779, -0.23815687000751495, -0.031723715364933014, 0.8134677410125732, -1.1247239112854004, 0.009961728006601334, -0.5039826035499573, -0.5842400193214417, -0.2553888261318207, 0.19084221124649048, 0.48162418603897095, 0.24385400116443634, -0.2268388420343399, -0.3187237083911896, -0.5650094151496887, 0.795484185218811, -0.0544874481856823, 0.2928100526332855, -0.208765909075737, -0.26753202080726624, -1.1908719539642334, -0.28026264905929565, 0.4210140109062195, 0.2552793323993683, -0.2463170439004898, 1.509554147720337, -0.3896660804748535, -0.30674684047698975, 0.28997042775154114, 1.4246022701263428, -0.1604398787021637, -1.2980983257293701, -1.2766259908676147, 1.1674269437789917, 0.08557943254709244, -0.3884674310684204, 0.6768681406974792, -0.5688284635543823, 1.5353869199752808, -0.0832834467291832, -0.673643946647644, 1.4253871440887451, -0.5520861148834229, 0.03696354478597641, 0.8925366997718811, 0.48636502027511597, 0.19159168004989624, 0.34179040789604187, -0.9321712851524353, 0.4240129590034485, -0.11119336634874344, 0.33948299288749695, -0.33851221203804016, -0.14923612773418427, 0.647476077079773, -1.0774155855178833, 0.9940086007118225, -0.9918660521507263, -0.5840707421302795, 0.9776800870895386, -0.4440365135669708, -0.6448789238929749, -0.15726856887340546, -0.49240756034851074, -0.4509257674217224, 0.8935791254043579, -1.2779741287231445, 0.23188632726669312, -0.7080637812614441, 1.4375827312469482, 0.03743391111493111, 0.02402653731405735, 0.5640678405761719, 0.6697715520858765, -0.44837668538093567, -0.24321308732032776, -0.9265984892845154, -0.16779214143753052, -0.21286541223526, 0.382315456867218, -0.9220829606056213, -0.7778446078300476, -0.03827767074108124, 0.7390797138214111, 1.1047428846359253, 0.7277179956436157, -0.48053833842277527, 0.25463733077049255, -0.4760586619377136, 0.6005069613456726, 0.1988375335931778, -0.05633227899670601, 0.2803490161895752, 0.9641949534416199, -0.39831778407096863, 0.9535987377166748, -0.8308817148208618, -0.553713321685791, 0.09986920654773712, -0.8962512612342834, -1.8002375364303589, -0.041794367134571075, -0.7232722640037537, 0.45692795515060425, 0.044133078306913376, 1.057677149772644, 0.010695488192141056, -1.0067464113235474, -0.7063827514648438, -1.9791817665100098, -0.30991286039352417, -0.2092604786157608, -0.44821232557296753, 0.1678425520658493, 0.9265584349632263, 0.9470279216766357, -0.3041269779205322, -1.2254523038864136, 0.23889581859111786, 0.40946611762046814, -0.031984131783246994, -1.1997631788253784, -0.26589736342430115, -0.025371741503477097, 0.41062721610069275, 2.144975185394287, 0.9262434244155884, 0.8790231943130493, -0.357954740524292, -0.1858191043138504, 1.1650749444961548, 0.49788856506347656, -0.30130505561828613, 0.1278528869152069, -0.5844963788986206, 0.24126528203487396, -0.25259706377983093, -0.3606404662132263, 0.4082860052585602, -0.06779856979846954, 0.170938178896904, -1.8674871921539307, 0.2045895904302597, 0.4874435365200043, 1.5542912483215332, 0.05201271176338196, 0.004905404523015022, -0.5074061155319214, 0.16775332391262054, -0.014335541985929012, -0.2833126187324524, -0.03944568336009979, -0.1257346272468567, 0.2934342920780182 ]
1,005
0704.1007
Yong Chen
Pan Zhang and Yong Chen
Transient Dynamics of Sparsely Connected Hopfield Neural Networks with Arbitrary Degree Distributions
11 pages, 5 figures. Any comments are favored
Physica A 387, 1009(2008)
10.1016/j.physa.2007.09.047
null
cond-mat.dis-nn cond-mat.stat-mech
null
Using probabilistic approach, the transient dynamics of sparsely connected Hopfield neural networks is studied for arbitrary degree distributions. A recursive scheme is developed to determine the time evolution of overlap parameters. As illustrative examples, the explicit calculations of dynamics for networks with binomial, power-law, and uniform degree distribution are performed. The results are good agreement with the extensive numerical simulations. It indicates that with the same average degree, there is a gradual improvement of network performance with increasing sharpness of its degree distribution, and the most efficient degree distribution for global storage of patterns is the delta function.
[ { "created": "Sun, 8 Apr 2007 02:10:58 GMT", "version": "v1" }, { "created": "Fri, 7 Dec 2007 07:14:19 GMT", "version": "v2" } ]
2011-11-09
[ [ "Zhang", "Pan", "" ], [ "Chen", "Yong", "" ] ]
07
[ 0.1256570965051651, 0.5714637041091919, 0.5316260457038879, 0.5484158992767334, -0.6982676386833191, -0.6846871376037598, 0.91536545753479, 0.40293338894844055, 1.0401079654693604, -1.1271319389343262, 1.5102105140686035, 1.390670657157898, 1.0345810651779175, 0.42299339175224304, -0.7283129692077637, -0.3205392360687256, -0.6596781015396118, -0.6005117893218994, -0.8557180762290955, -1.206573724746704, -0.07721385359764099, -1.9875441789627075, -0.13303622603416443, 0.09648463875055313, -0.08727142214775085, 1.259761929512024, -1.3274922370910645, 0.17032387852668762, -0.05817010998725891, -0.9375814199447632, 0.010273914784193039, 0.8889219760894775, -0.14658381044864655, -0.26263192296028137, -0.13443435728549957, 0.16645672917366028, -0.12772156298160553, 0.5905380249023438, 0.5748102068901062, 0.03478757664561272, 0.6920620203018188, 0.19251422584056854, -0.5111926198005676, 0.19228628277778625, -0.9817280769348145, 0.29154282808303833, 0.30472442507743835, -0.3280523419380188, -0.02669285610318184, 0.39944881200790405, -0.11707072705030441, 0.03221600502729416, 0.08991163969039917, 0.8349124193191528, 0.24073155224323273, 0.6303878426551819, -0.3980458974838257, -0.4821139872074127, -0.5382770299911499, -1.1156680583953857, -0.20649340748786926, 1.1454821825027466, 0.19405046105384827, 0.4405965209007263, 0.15452498197555542, -0.651780903339386, 1.4517074823379517, -0.2389834225177765, -0.2013285607099533, -1.0026981830596924, -0.11098216474056244, -1.117725133895874, -0.228811576962471, 0.4702681303024292, -0.8342692852020264, -0.23587554693222046, 1.4956482648849487, 1.0243163108825684, 1.5915501117706299, -0.38013842701911926, 0.5701150298118591, -0.8153857588768005, -1.2992428541183472, -0.6562684774398804, 0.7581002116203308, -0.7132620811462402, -0.28140583634376526, -0.07819056510925293, -1.7997791767120361, -0.5710601210594177, -1.306792140007019, 0.3655819296836853, -0.7279731631278992, 0.6071599721908569, 0.0722782090306282, -0.30982378125190735, -0.8185940980911255, 0.7050272822380066, -0.13758182525634766, -0.09218898415565491, -0.37982338666915894, -0.6119509339332581, 0.46785640716552734, -0.22567348182201385, 0.8214344382286072, -0.4581443667411804, 0.062447674572467804, -0.05295610800385475, -0.7665712237358093, 0.0795891210436821, -0.5644837021827698, -0.2886667549610138, 0.36319178342819214, 1.6870036125183105, 0.3734297752380371, -0.07539425045251846, -0.7082004547119141, -0.06776663661003113, -1.062929391860962, -0.33141061663627625, 0.6558889746665955, 0.5912994146347046, -1.2064354419708252, -0.22628062963485718, 1.0670585632324219, 0.13000237941741943, 0.9180356860160828, -0.5610255599021912, -0.023866472765803337, -0.46239084005355835, -0.14462397992610931, -0.03170963004231453, -1.329317331314087, -0.6485382318496704, 0.19493767619132996, 0.13681983947753906, 0.10337679833173752, 0.42575040459632874, -0.7511852979660034, -0.8485578298568726, 1.6189476251602173, 0.35135191679000854, -1.4493110179901123, -0.006537200417369604, -0.21717415750026703, 0.732732892036438, -0.20612841844558716, -0.28784558176994324, -0.1577187180519104, -0.13292478024959564, -0.1872195303440094, -0.7251665592193604, -0.11836137622594833, 0.8998376131057739, 0.6764181852340698, -0.2543433904647827, -0.28156644105911255, 0.5687327980995178, -0.460896372795105, -0.3799019753932953, 0.8867224454879761, -0.7899909019470215, 0.4941574037075043, -1.1067969799041748, -0.596956729888916, -0.28836190700531006, 0.22300148010253906, 0.3107394874095917, 0.38881805539131165, -1.1919453144073486, 0.333652138710022, 0.13217706978321075, 1.2160753011703491, -0.3883074223995209, 0.5519857406616211, 0.47901231050491333, 0.9374826550483704, 0.2521715760231018, -0.029577715322375298, 0.17188358306884766, -0.5898367762565613, 0.3728892207145691, -1.0598251819610596, -0.5407342910766602, 0.4014657139778137, -0.5100265145301819, -1.0441038608551025, -0.06122361496090889, -0.02869352139532566, -0.4106341004371643, 0.1802440583705902, 0.1813749521970749, -0.3605099320411682, -0.23929406702518463, -0.8209339380264282, 0.5245012640953064, -0.6132690906524658, -0.47468024492263794, -0.7340498566627502, 0.0993141382932663, 0.7377951145172119, -0.0013458547182381153, -0.7085312008857727, -0.11187911033630371, -1.5464431047439575, 0.430339515209198, -0.015327749773859978, 0.26600760221481323, 0.021123651415109634, -0.0003028091450687498, 0.6970106363296509, 0.37931886315345764, -0.6855577826499939, -0.35475340485572815, -1.5021268129348755, 0.939115583896637, 0.17753329873085022, 1.0223520994186401, -0.774582028388977, 0.809585452079773, 0.17132481932640076, 0.3866692781448364, -0.7277156710624695, -0.4250616431236267, 0.23324759304523468, -1.5941306352615356, -0.2777022421360016, -0.4229840934276581, -0.07014895230531693, -0.19916991889476776, 1.2010884284973145, -1.2616591453552246, -0.4541545808315277, -0.38291266560554504, 1.8678158521652222, -1.4164667129516602, -0.0012124847853556275, 0.0074568637646734715, 0.660053551197052, 0.7458325028419495, 0.17719382047653198, -0.739356279373169, 0.10843178629875183, 0.6247483491897583, 0.09511326998472214, 0.8236141204833984, -0.756151020526886, 0.7389310598373413, -0.3589779734611511, 0.1441461145877838, -1.7939077615737915, 0.4178374409675598, 0.15921743214130402, -0.22876793146133423, -0.9341027140617371, 0.4013669192790985, 0.32697373628616333, -0.572485089302063, -0.8952612280845642, 0.31303977966308594, 1.416169285774231, -0.5970098376274109, 1.6285823583602905, -0.002520529320463538, -1.409781575202942, 1.3847415447235107, -0.9107962846755981, 0.20561642944812775, -0.6105402708053589, -0.5006698369979858, 0.14967861771583557, -1.0249630212783813, 0.016588754951953888, 0.22017714381217957, -0.5802841782569885, -0.4976503849029541, -0.22739636898040771, -1.1899420022964478, 0.2849682867527008, -0.31018832325935364, -0.18488767743110657, -0.21389709413051605, 0.6475316882133484, -0.048080600798130035, -0.6002703905105591, 0.06627824157476425, 0.1251518279314041, -1.1133174896240234, -1.1218491792678833, -0.8816838264465332, -0.8389678597450256, 0.9482871890068054, -0.422523558139801, 1.567000389099121, -0.09835729748010635, -0.6836104393005371, 0.6791902184486389, 0.14048615097999573, -0.07908505946397781, 0.09445298463106155, 0.012453623116016388, -0.8014799952507019, -0.30138567090034485, 0.4206070005893707, 0.9325135946273804, -0.8384082317352295, -0.9859576225280762, -0.6066309809684753, 0.23893970251083374, -0.16827453672885895, 1.1269961595535278, 0.706842839717865, -0.54367995262146, -0.38892361521720886, -0.30295529961586, 0.8713322877883911, -0.37277963757514954, -0.13385768234729767, 1.6633793115615845, 0.06448882818222046, -0.022100146859884262, -0.35012874007225037, 0.6965055465698242, 0.2748287320137024, -0.46471458673477173, -0.5999107360839844, 0.8417609333992004, -0.0017408265266567469, 1.1482654809951782, -1.17494535446167, -0.10737255960702896, 0.03988673537969589, -0.6254023313522339, 0.23821721971035004, -0.49080225825309753, -0.11690130829811096, -0.12094303965568542, -0.8509093523025513, 0.1485101729631424, -0.6107563376426697, 0.023212768137454987, 1.5215067863464355, 0.22923517227172852, 0.5916911959648132, 1.0134241580963135, 0.12410741299390793, -0.45096439123153687, 0.3372388184070587, -0.9641711711883545, 0.5073794722557068, -1.1588494777679443, -0.9671192169189453, -0.3227178454399109, 0.06570468097925186, -0.4515208303928375, -0.5261552929878235, 0.9451245069503784, 0.8549578785896301, 0.12484941631555557, -0.7241207361221313, 0.21330417692661285, 0.48329034447669983, 0.960767924785614, -0.7822325229644775, 0.22932599484920502, -0.4339607059955597, -0.587363600730896, -1.0085532665252686, -0.13927459716796875, -0.10903957486152649, -0.38958990573883057, 0.821702241897583, 0.4861830472946167, -0.724199116230011, 0.21401198208332062, 0.8629823327064514, 1.79605233669281, -0.3363001048564911, 0.46505898237228394, 0.3364352583885193, 0.8670750260353088, 1.3791974782943726, 0.20498283207416534, -0.6700535416603088, -0.24662615358829498, 0.2705226540565491, 1.08899986743927, -1.1601378917694092, 0.3110114634037018, 0.4526544511318207, 0.8480015993118286, 0.027842873707413673, 0.6393803954124451, -0.27456656098365784, -1.0748378038406372, -0.706900417804718, 0.6493653059005737, -0.6702328324317932, -0.2546441853046417, -0.5045857429504395, -0.5981304049491882, -0.4750010073184967, -1.355027675628662, 0.5097306966781616, -1.3856819868087769, -0.5694072842597961, 0.01840653084218502, -0.7549066543579102, 0.029362505301833153, 0.15622061491012573, -0.5054473876953125, -0.17574599385261536, 1.3728218078613281, -1.0491019487380981, -0.10388209670782089, -1.0080912113189697, -0.17194131016731262, 0.6359812617301941, -0.30728352069854736, 0.1738850623369217, -0.3767198920249939, -0.47623223066329956, -0.5192508697509766, -0.2871342599391937, 0.10033194720745087, -0.3270827531814575, -0.16560165584087372, 0.32030022144317627, -1.1874032020568848, -0.3637876808643341, -1.682566523551941, -1.4672919511795044, 0.7951974868774414, -0.868847668170929, 0.3979553282260895, 0.806351900100708, -0.5289242267608643, -0.5042465925216675, -0.07704581320285797, -0.43981674313545227, -0.9207446575164795, 0.2839844822883606, -0.8456646800041199, 0.39231497049331665, -0.7161988615989685, 1.296765923500061, -0.7297140955924988, 0.4884107708930969, -0.7442509531974792, -0.11298178881406784, 0.8961702585220337, 0.5688654184341431, 0.3020748496055603, 0.07086727768182755, 0.32396095991134644, -0.9974122047424316, 1.354287028312683, 1.423866629600525, 0.17831596732139587, -1.108588457107544, 0.812457263469696, -0.003372338367626071, 0.354750394821167, -0.8451944589614868, -0.5722397565841675, -0.1401127576828003, 0.667696475982666, 0.2964812219142914, -0.16721145808696747, 0.486873060464859, -0.19952043890953064, -0.3623087704181671, -0.1320546567440033, 0.06742634624242783, 1.1042464971542358, 0.9501290917396545, -1.1346560716629028, 1.2711634635925293, -1.2982144355773926, 0.6242678761482239, 0.9573831558227539, 1.4057538509368896, 0.11660319566726685, -0.35773956775665283, 0.7416101694107056, -0.7661493420600891, -0.4434713125228882, -0.6932249665260315, 0.12284005433320999, 0.509532630443573, -0.5375587344169617, 0.8217985033988953, -0.4246354401111603, 0.2422952651977539, -0.1854391247034073, -0.2736671566963196, 0.40810152888298035, 1.4438344240188599, 1.359394907951355, 0.5948497653007507, 0.2341580092906952, -1.0382496118545532, -1.075031042098999, 0.7546762228012085, -0.15224866569042206, 0.28314945101737976, 0.4288990795612335, -0.86533522605896, 0.9879705905914307, 0.8422384858131409, -0.600532591342926, -0.9943735599517822, -0.5763376951217651, 0.1276322603225708, 1.1764174699783325, 0.4741828143596649, -0.34770748019218445, -2.9585928916931152, 1.0942699909210205, -0.7360600829124451, -0.09766051173210144, -0.47913768887519836, 0.5145941972732544, -0.2099744826555252, 0.2533251643180847, 0.5400875210762024, 1.4161629676818848, -0.8732556700706482, -0.2949463129043579, -0.48498836159706116, 0.06767593324184418, -0.9871705174446106, -1.024200201034546, 0.6500610113143921, 0.2313031703233719, -0.8888179063796997, -0.1461237370967865, 0.6498614549636841, -1.4280487298965454, 0.18719786405563354, 0.4303235113620758, 0.405204713344574, 0.03197396174073219, -1.0638458728790283, -0.302305668592453, -0.30487364530563354, 1.5555471181869507, -0.4078444540500641, -0.22258590161800385, -1.6430445909500122, 0.19762413203716278, -0.4945336878299713, -0.3508617579936981, 0.11418600380420685, -0.7920555472373962, 0.6228753924369812, -8.329995155334473, -0.028533659875392914, -0.33133992552757263, -1.0637091398239136, 0.495820552110672, 0.6599213480949402, -0.712489128112793, -0.20691300928592682, 0.8704833984375, 0.32375651597976685, 0.055476944893598557, -0.3440414369106293, 0.32465237379074097, -0.11777860671281815, -1.1739774942398071, -0.17124219238758087, 0.4006560146808624, 0.020388951525092125, -1.087186574935913, 0.7670539617538452, -0.954563319683075, -0.5866167545318604, 0.35361963510513306, -0.743209719657898, 0.45777419209480286, -1.0126497745513916, 0.4135292172431946, 0.20032207667827606, 0.21092095971107483, 0.11509852111339569, -1.0494270324707031, -0.34849780797958374, 0.7625027298927307, -0.12798985838890076, -0.2749021649360657, -0.5419451594352722, -0.4400930404663086, 0.6144804954528809, 0.6215706467628479, -0.4011804759502411, 0.6528693437576294, -0.08857544511556625, -0.2838476598262787, -0.06987319886684418, -0.3645923435688019, 0.32392534613609314, -0.06865033507347107, -1.0923627614974976, 0.49949508905410767, 0.9946848154067993, 0.1326594352722168, 0.8483954071998596, 0.3945257365703583, 0.9867175817489624, 0.9250369071960449, 0.19688479602336884, -0.4670940935611725, 0.2684870958328247, 1.0416122674942017, -0.1325521618127823, 0.6930289268493652, -0.33011317253112793, 0.7224128842353821, -0.16967754065990448, -0.657590389251709, 0.20491985976696014, -0.8883275389671326, -0.13047721982002258, 0.5934132933616638, -0.049768343567848206, 0.553091824054718, -0.4461859464645386, 0.7185267210006714, 1.351679801940918, -0.048739198595285416, -0.7974770665168762, -0.4662214517593384, 0.5226485133171082, 0.4940890371799469, 0.4150770902633667, -0.5606651902198792, -0.3529360294342041, -1.1943325996398926, 1.294040560722351, -0.8880122900009155, -0.17673642933368683, 0.3477036952972412, 0.18525785207748413, 0.1313295066356659, -1.025570273399353, 1.0843394994735718, 0.924533486366272, 0.33437690138816833, 0.6681656241416931, -1.1777499914169312, -0.48742353916168213, 0.7484716176986694, -0.6461040377616882, 0.1946779489517212, -0.9655189514160156, 0.6541957259178162, 0.23808099329471588, 0.48300600051879883, -0.28111398220062256, 0.7768968939781189, 0.10004269331693649, -0.13948878645896912, 0.5458042621612549, 0.10347271710634232, -1.4382410049438477, 1.091904878616333, 1.3311413526535034, 0.2469293177127838, -0.31304746866226196, 0.5154940485954285, -0.9921535849571228, -0.017495129257440567, 1.0701402425765991, -0.8022077083587646, -0.5029861330986023, -1.8807786703109741, -0.195305734872818, -0.9752517342567444, 1.4573720693588257, 0.42891812324523926, -0.7221246361732483, 0.3714400827884674, 0.633632481098175, 0.44502362608909607, 0.3608602285385132, -0.5180522799491882, -0.16657252609729767, -0.4064227044582367, -0.026219511404633522, -0.7190895676612854, -0.922551691532135, 0.8223339319229126, 1.0145949125289917, 0.0029708698857575655, 0.16161984205245972, -0.14125321805477142, -0.04073144122958183, 0.7319859862327576, 0.30840668082237244, -0.026466619223356247, -0.34476354718208313, -0.43740370869636536, 0.5151047706604004, 0.7449035048484802, -0.06350233405828476, -0.6786438226699829, -1.2170753479003906, 0.8875201344490051, 0.9298332333564758, 0.19587114453315735, -0.2380893975496292, -1.5744754076004028, 0.7142069339752197, -1.0188766717910767, -0.6940984129905701, 0.984063982963562, -1.0931057929992676, 0.3957537114620209, 0.9090620875358582, -0.313210129737854, -0.04517289251089096, 0.598483145236969, 0.32545164227485657, -0.1951228678226471, 0.03656138479709625, 0.23547233641147614, 0.08713976293802261, -1.1638683080673218, 0.49525871872901917, -0.7274498343467712, -1.1343934535980225, 0.994186282157898, 0.5003494024276733, 1.25690758228302, -0.4478330612182617, -0.07612015306949615, 1.249098777770996, -0.20296832919120789, 0.515381395816803, -1.4706491231918335, 0.3700646162033081, -1.818664312362671, 0.47974932193756104, -0.7106090188026428, -0.9046323895454407, 0.5579326152801514, 0.0712089091539383, -0.7983125448226929, -0.23316922783851624, -0.020172616466879845, -0.7278296947479248, 0.1383618414402008, -0.35215362906455994, 0.13805317878723145, -1.511695146560669, 0.057595834136009216, 1.7623927593231201, 0.4647316634654999, 0.12266397476196289, 1.3389486074447632, 0.24637162685394287, -1.6292078495025635, 0.1661849170923233, -0.037030838429927826, 0.07176312804222107, -0.5227494835853577, 0.7379469275474548 ]
1,006
0704.1008
Behrang Noohi
Behrang Noohi
Explicit HRS-Tilting
31 pages, introduction expanded, minor errors corrected
null
null
null
math.RT math.KT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For an abelian category $A$ equipped with a torsion pair, we give an explicit description for the abelian category $B$ introduced by Happel-Reiten-Smalo, and also for the category of chain complexes $Ch(B)$ and the derived category $D(B)$ of $B$. We also describe the DG structure on $Ch(B)$. As a consequence, we find new proofs of certain results of Happel-Reiten-Smalo. The main ingredient is the category of {\em decorated} complexes.
[ { "created": "Sun, 8 Apr 2007 02:43:25 GMT", "version": "v1" }, { "created": "Wed, 27 Aug 2008 23:35:15 GMT", "version": "v2" } ]
2008-08-28
[ [ "Noohi", "Behrang", "" ] ]
07
[ 0.2832402288913727, 0.0453689843416214, 0.8810903429985046, 1.0494134426116943, 0.21520325541496277, -0.5399050116539001, -0.6692652702331543, -0.2262609750032425, -0.8141949772834778, -0.3544149398803711, 1.1747978925704956, -0.6284767985343933, 0.25064617395401, 0.0021900851279497147, 0.37365999817848206, -0.017260368913412094, -1.1258859634399414, -0.3314344584941864, -1.3507115840911865, -0.5557334423065186, -0.08132551610469818, -0.796342670917511, -1.0415581464767456, 0.08588150143623352, -0.8371730446815491, 0.933375358581543, -0.46485596895217896, -0.11099767684936523, -0.41770532727241516, 0.19930793344974518, 0.41092175245285034, 0.20874182879924774, -0.379637211561203, 0.6607102155685425, 0.1991761028766632, -0.21337777376174927, 0.9386647939682007, -0.6996269226074219, -0.2867676317691803, -0.8002069592475891, 1.3012604713439941, -0.34776991605758667, 0.365398108959198, -1.4301674365997314, -1.0602388381958008, -0.5495302677154541, -0.024646826088428497, -0.922280490398407, -0.1833856850862503, -0.8244333863258362, -0.7466939091682434, 0.7948134541511536, -0.02830491214990616, -0.43496280908584595, 0.20094990730285645, 0.07563380151987076, 0.9719282984733582, 0.45031723380088806, 0.9570335745811462, -0.7257732152938843, -0.783962607383728, 0.4796346426010132, 0.8607712984085083, 1.0643385648727417, -0.53003990650177, 0.3896900713443756, 0.21078431606292725, 0.08820497989654541, 1.2888643741607666, 0.9772404432296753, -0.16544117033481598, 0.19785907864570618, -0.7182614803314209, -0.6358111500740051, 1.8003095388412476, 0.14712759852409363, 0.7899825572967529, 0.7572795748710632, -0.27295881509780884, 0.2708163857460022, 1.1332541704177856, -0.9302629828453064, 0.16078655421733856, -0.31907594203948975, -0.6394194960594177, -0.7878444194793701, 1.1367977857589722, 1.3708786964416504, -0.5893200635910034, -0.17078423500061035, 0.9450096487998962, 0.08858080208301544, -0.021737679839134216, -0.340827614068985, 0.2763800323009491, -2.2684361934661865, -0.9074015021324158, -0.5538104176521301, 0.2974565327167511, 0.6284706592559814, 0.2474898397922516, 0.8956666588783264, 0.17226025462150574, 0.3168904185295105, 0.22184985876083374, 0.3069151043891907, 0.31174173951148987, 0.2516227662563324, 0.34312719106674194, -0.2703813314437866, -0.7351140379905701, -2.036384344100952, -0.8541213274002075, -0.14497175812721252, -0.25620540976524353, 1.5918033123016357, -0.1262844353914261, 0.1496892124414444, 0.916428804397583, 0.10295845568180084, 0.023522963747382164, 0.11880373954772949, 0.06175379082560539, -0.5242004990577698, -0.5787004828453064, 1.1015934944152832, 0.15390488505363464, -0.22296226024627686, -0.6239005923271179, 0.08743134886026382, -1.3617112636566162, -0.5987507700920105, 1.0397447347640991, -1.042642593383789, 0.18325182795524597, 1.6214141845703125, -0.12346130609512329, -1.1695255041122437, 0.4906385540962219, -0.7885825634002686, 1.237707495689392, -0.4959806203842163, -0.32768359780311584, 0.07955759018659592, 0.6661033630371094, -0.3571605384349823, 0.885806679725647, -0.44152575731277466, 0.9666320085525513, -0.12205449491739273, 1.6518542766571045, -0.008344008587300777, 0.7442953586578369, -0.5546797513961792, 0.7652804851531982, -0.040239106863737106, 0.25494328141212463, 0.20335936546325684, 0.7470000982284546, -0.2907523810863495, -0.17060019075870514, -0.5594313740730286, 0.03437195345759392, 1.2387311458587646, 0.3320847749710083, -0.5003352761268616, 0.07493726909160614, 0.41368433833122253, 0.3048901855945587, 0.761172890663147, 1.3331252336502075, -0.5496402978897095, 0.1537352055311203, -0.28395986557006836, 0.5304124355316162, 0.19819793105125427, -0.6535444259643555, 0.1801411509513855, -0.8980208039283752, 0.27988147735595703, -2.0574862957000732, -0.08277221769094467, 0.3896402418613434, -0.43034791946411133, 0.25798916816711426, -0.21670681238174438, 0.3495011329650879, 0.2345951944589615, 0.33127614855766296, -1.061141014099121, -0.3147055208683014, -0.12160302698612213, -0.3280949890613556, 0.10542512685060501, 0.4907798767089844, 0.4150744676589966, 0.6752577424049377, 0.89783775806427, 0.2168891727924347, -0.7704064846038818, -0.11247243732213974, -0.552219808101654, -0.028571493923664093, 0.1772243082523346, -1.3560893535614014, 1.3180065155029297, 0.710545539855957, -0.06571105122566223, 0.9379445910453796, 0.6155972480773926, -0.23767425119876862, -0.014018552377820015, -0.32721394300460815, 0.29888713359832764, 1.5002402067184448, 0.12292104959487915, 0.6976044178009033, 0.7501360177993774, 0.195423424243927, 2.5743978023529053, 0.324538916349411, 0.4194330871105194, -0.11211659759283066, -0.7973018288612366, 0.3336687684059143, -0.664146900177002, -0.8733891248703003, 0.16773849725723267, 0.19765228033065796, -0.2007974237203598, -0.5135484337806702, -0.2464333027601242, 0.2836708724498749, -0.8807076215744019, 0.6223089098930359, -0.7398357391357422, -0.9298330545425415, -0.3282484710216522, -1.252089023590088, 0.5392816066741943, -0.8284108638763428, 1.2398220300674438, -0.9372277855873108, 0.209230437874794, 0.2529430687427521, 0.17016597092151642, -0.37756940722465515, 0.24121522903442383, -0.9118744730949402, 0.8767380714416504, -0.22805248200893402, -0.1960821896791458, -1.1822900772094727, -0.8308115601539612, 0.10475317388772964, 0.5488172173500061, 0.3109560012817383, -1.992799997329712, -2.3059420585632324, -0.5917269587516785, -0.07837630808353424, -0.4925762414932251, 0.03802158311009407, 0.15683937072753906, -0.2622185945510864, -0.4486290216445923, 0.6257298588752747, 0.5200812220573425, 0.7462971210479736, 0.5108400583267212, 0.15064400434494019, -0.20258677005767822, 0.5513423681259155, -0.524742603302002, 0.5786787867546082, -0.7491042613983154, -0.19891376793384552, -0.02264975756406784, -0.24297697842121124, 0.09254103153944016, 0.1699659526348114, 1.86189866065979, -0.14189371466636658, 0.505176842212677, -1.5234729051589966, -0.12575586140155792, -0.3595656156539917, -0.27016469836235046, -0.2612999677658081, 1.1093697547912598, -1.4408849477767944, -1.2359777688980103, 1.194746494293213, 0.2881399691104889, 0.11723029613494873, -1.036573052406311, 0.7987285256385803, -1.9667662382125854, -0.08220472186803818, -0.5402155518531799, 1.2739800214767456, 0.2564185857772827, 0.7331660985946655, -0.2540203332901001, 0.21413828432559967, 0.3768666982650757, 0.4186009466648102, -0.8420780897140503, -0.3016241490840912, -0.3455932140350342, 0.2383699268102646, 0.36439087986946106, 0.4136978089809418, -1.1522818803787231, 1.2919849157333374, 0.9251052737236023, -0.6588702201843262, 0.200211763381958, 0.4061141908168793, -0.6688499450683594, 0.6951642036437988, -0.682427704334259, 0.029084574431180954, -1.1963025331497192, 1.3975534439086914, -1.0395556688308716, 0.8776342868804932, 1.0467774868011475, -0.29982608556747437, 0.9294483661651611, -0.7383967638015747, -0.9646970629692078, 1.011444330215454, 0.12384767830371857, -0.3817579448223114, 0.8007254004478455, 1.2384036779403687, -0.31790462136268616, 0.7235949635505676, -1.0936957597732544, -1.6170231103897095, -1.0434060096740723, -0.39921194314956665, -1.1823729276657104, -0.35058069229125977, -0.2189512699842453, -0.38763079047203064, 0.272143691778183, -0.8104881048202515, 0.2919735908508301, -0.27380192279815674, -0.8604961037635803, -0.6159860491752625, 1.0485113859176636, -0.11373454332351685, -0.20170073211193085, 0.2522682547569275, 0.48064425587654114, -0.3307822644710541, 0.6651018261909485, 1.038050889968872, 0.7276572585105896, -0.09721048921346664, -0.9596019387245178, 0.2889403700828552, 0.23440489172935486, 0.07390730828046799, 0.7640916705131531, 0.07340773940086365, -0.20115558803081512, -1.4411176443099976, 1.0621134042739868, -0.985978901386261, 1.2894079685211182, -0.5191522836685181, 0.4724542498588562, -0.7076449394226074, 0.2649439871311188, -0.1672138124704361, 0.2030513882637024, 0.29140549898147583, -0.858862042427063, 0.06074870377779007, -0.10975241661071777, -0.42334866523742676, -0.7899343371391296, -1.3468657732009888, -0.41860485076904297, 0.31344181299209595, 0.02770296484231949, -0.17567694187164307, -0.2975110113620758, -0.18959154188632965, -0.23290100693702698, -1.2741245031356812, -0.8707499504089355, -2.010380983352661, 0.16014251112937927, -0.3335646986961365, 0.7825635075569153, -0.8885899782180786, 0.26698529720306396, -0.6286614537239075, 0.027984054759144783, -0.38790616393089294, -0.1707417070865631, -1.4182024002075195, 0.6020241379737854, 0.3859214186668396, -0.6671201586723328, -0.053628213703632355, -0.15164603292942047, -0.6637670993804932, 1.0916452407836914, -0.4759719669818878, 0.7987841367721558, -0.9650862812995911, 0.6260668635368347, -0.5455698370933533, -1.7948029041290283, -0.16555222868919373, -0.7255941033363342, -0.2469867616891861, 0.16149407625198364, 1.345786452293396, 0.4165933430194855, -0.4946128726005554, 0.5423816442489624, -0.4214399755001068, -0.7558984756469727, -0.4245014786720276, 0.5463036894798279, -1.5362772941589355, -0.9004717469215393, -1.0180448293685913, 0.6222939491271973, 0.40945863723754883, -0.3667691648006439, -0.08916132152080536, -0.8254892230033875, -0.08740746974945068, 0.4152292013168335, -1.109315276145935, 0.10417678207159042, 0.5114673972129822, -0.27144190669059753, 1.370044231414795, 0.28898754715919495, -0.7502829432487488, 0.3365807831287384, -0.4929526448249817, 0.20789577066898346, 0.797333836555481, 0.768172562122345, -0.9784702062606812, -0.022008661180734634, -0.07708317786455154, 1.0346075296401978, 0.17851512134075165, -0.016154414042830467, -0.8583375215530396, -0.3506888449192047, 0.23273824155330658, 2.1700422763824463, 0.10608362406492233, -0.5415648818016052, -1.3642712831497192, 0.000059256883105263114, 0.14913472533226013, -0.22509236633777618, 1.3403499126434326, -0.8350683450698853, 0.699714183807373, -0.614036500453949, 1.0317628383636475, -2.139667272567749, -0.27368035912513733, 0.26530417799949646, -0.5673059821128845, 1.676301121711731, 1.2126777172088623, -0.6189674139022827, -1.7929790019989014, -0.0987616628408432, -1.306912899017334, 0.5837975144386292, -0.9291270971298218, 0.5124462842941284, 0.42543110251426697, 0.7703547477722168, 0.7930428385734558, 0.46186819672584534, -1.3474576473236084, -0.8640595078468323, -0.2510676383972168, 0.4370051324367523, -0.8264256119728088, -0.881883978843689, -0.22414308786392212, -0.3005577325820923, 0.1813197135925293, 0.061590664088726044, -0.5161977410316467, -0.28161075711250305, -0.019428148865699768, 0.20868472754955292, -0.1644306629896164, 0.40762394666671753, 0.3907545804977417, 0.32480475306510925, -0.836753785610199, -0.10201200842857361, 0.6211591958999634, -0.7400820255279541, -0.09037940204143524, -1.2385600805282593, -0.600274384021759, -1.9631171226501465, -0.003188293194398284, 0.2667597830295563, 0.3587057590484619, -0.013945643790066242, -0.6786168217658997, -1.2334285974502563, 0.5597729682922363, -0.027236755937337875, 0.2148374766111374, -0.555938720703125, -1.649172306060791, -0.09093403071165085, 0.6990245580673218, 0.30667364597320557, 1.2176015377044678, 0.5445490479469299, 0.7145575284957886, -0.29230377078056335, 0.7714406847953796, -0.04790307208895683, 0.16416773200035095, 1.6432868242263794, -0.6131255030632019, 0.1219378113746643, -2.337151527404785, -0.7396291494369507, -0.1343694031238556, -0.13251619040966034, -0.7705977559089661, -0.20004035532474518, -1.050222635269165, -0.4634163975715637, -0.8273692727088928, -0.13148319721221924, -0.785624086856842, 0.025119952857494354, -0.6063242554664612, 0.3070248067378998, -7.062506675720215, -0.054557766765356064, 0.39007139205932617, 0.09743183106184006, 0.5155943036079407, -0.18428853154182434, 0.25541386008262634, -0.7545337080955505, 0.03773094713687897, 0.31467708945274353, 1.0806559324264526, -0.40892815589904785, 0.46531569957733154, -0.19017760455608368, -0.709280788898468, 0.03379594534635544, -0.7136781811714172, 0.6294541954994202, -0.49185049533843994, -0.8802447319030762, -0.35624879598617554, -0.46868598461151123, 0.5367724895477295, -0.2527272403240204, 1.6006916761398315, -0.7277442812919617, 0.18397410213947296, 1.1160218715667725, 1.7667860984802246, 0.789038360118866, -0.5334105491638184, 0.030599243938922882, -0.8078008890151978, -0.010782510042190552, 0.19188670814037323, -1.3380837440490723, 0.056218452751636505, 0.20988889038562775, -1.8673198223114014, -1.0289666652679443, -0.6138015985488892, -0.7201817631721497, 0.4792037606239319, 0.4539862871170044, 0.5494412183761597, -0.5874760746955872, 0.21161127090454102, -0.44347116351127625, 1.3011090755462646, -0.3211387097835541, -0.6918837428092957, -0.13407449424266815, 0.3358524739742279, 0.6727259755134583, -0.007554212119430304, 1.373245120048523, 0.7990843653678894, 0.6069565415382385, -0.4400359094142914, -0.23273861408233643, -0.542351245880127, -0.036650825291872025, -1.2178081274032593, 0.61723393201828, 0.2591862082481384, -0.5938528180122375, -0.25207942724227905, 0.041880253702402115, 0.06465689837932587, 1.1339150667190552, -0.7554428577423096, 0.2798711359500885, 1.3801302909851074, -1.090225338935852, -1.5885194540023804, -0.6668643355369568, -0.45795488357543945, 1.0625182390213013, 0.007783342618495226, -0.26906511187553406, 0.742454469203949, -0.09919751435518265, -0.2893199324607849, -1.35586678981781, -1.152494192123413, -0.345427930355072, 0.44127580523490906, -0.01785539649426937, -0.33024609088897705, 0.24817100167274475, -0.07597973942756653, 1.1384342908859253, 0.4663808047771454, 0.37442368268966675, -0.017687654122710228, -0.3219340145587921, 0.10875189304351807, 0.24943901598453522, 0.7825188636779785, -0.39600223302841187, -1.7537999153137207, 0.4624667167663574, 1.4930102825164795, 0.6862711310386658, 0.28042981028556824, 0.16406866908073425, -0.8734918832778931, 0.14597409963607788, 0.7103411555290222, -0.030545435845851898, -1.3261222839355469, 0.7761777639389038, 0.13311132788658142, -0.7444149851799011, -0.5861754417419434, 0.1720326989889145, -0.6746317744255066, 0.31944718956947327, -0.05708286166191101, -0.24474161863327026, -0.2228340059518814, -0.8545183539390564, -1.080734133720398, 0.10338839143514633, 1.2731255292892456, 0.09051308035850525, -0.4547930955886841, 1.5014839172363281, 0.6818336248397827, -0.09241484850645065, -0.11878950893878937, 0.037767454981803894, -0.3134904205799103, -0.2993078827857971, -0.9397329092025757, -1.5979496240615845, -0.31054139137268066, -0.48764410614967346, 0.10633721202611923, -0.7674210667610168, -1.4104945659637451, -0.14407773315906525, -0.12021816521883011, -0.3930668234825134, -0.6009835004806519, 0.09987480938434601, -0.7527142763137817, 0.11316636949777603, 0.016958676278591156, 0.33195123076438904, -0.22609752416610718, 0.993469774723053, 0.2749830186367035, -1.243791103363037, 0.3215859830379486, 0.7860723733901978, 1.3112564086914062, -1.2378078699111938, -0.9740257263183594, -0.4328292906284332, -0.4148011803627014, -0.7821460366249084, 0.05474359914660454, 1.7946979999542236, 1.549017310142517, -0.2957182824611664, 1.024301528930664, 0.5034052729606628, -0.5814675092697144, 0.1456988900899887, 0.9440425634384155, 0.3751372992992401, -0.3743319809436798, 0.1383461207151413, -0.0741744339466095, 0.3410722613334656, -1.1695160865783691, 0.006099198944866657, -1.1330784559249878, -1.3711435794830322, 0.6628619432449341, -1.5328211784362793, 0.25654467940330505, 0.3434807360172272, -0.5785534381866455, 1.2339612245559692, 0.5210690498352051, -0.44239237904548645, 1.1650274991989136, 0.10754221677780151, -0.37294328212738037, 0.3834713399410248, 0.5120289921760559, 1.5788594484329224, -0.2831343710422516, 1.6265490055084229, 0.352845162153244, -0.29994797706604004, -0.0038138022646307945, 1.7261505126953125, 0.42725157737731934, 0.11688430607318878, 0.3084394633769989, 0.1889772117137909, -0.6025320887565613, 0.6271060705184937, -0.3486683964729309, 0.6438849568367004, 0.4986952543258667, -0.45101019740104675, 0.7248173356056213, -0.21775557100772858 ]
1,007
0704.1009
Behrang Noohi
Behrang Noohi
Lectures on derived and triangulated categories
Lecture notes. To appear in the proceedings volume of the "International Workshop on Noncommutative Geometry", IPM, Tehran 2005
null
null
null
math.KT math.AG
null
These notes are meant to provide a rapid introduction to triangulated categories. We start with the definition of an additive category and end with a glimps of tilting theory. Some exercises are included.
[ { "created": "Sun, 8 Apr 2007 03:09:08 GMT", "version": "v1" } ]
2007-05-23
[ [ "Noohi", "Behrang", "" ] ]
07
[ -0.04316553473472595, -0.3229576349258423, 0.657086968421936, 0.8040210604667664, -0.24653562903404236, -0.9184375405311584, -0.8499720692634583, -0.9946715831756592, -1.0718570947647095, -0.4218164086341858, 0.725595235824585, 0.28910860419273376, -0.021771088242530823, -0.332897812128067, 0.6326248049736023, 1.0219053030014038, -0.7882823348045349, -1.225284218788147, -0.7353351712226868, -1.3228205442428589, 0.31629037857055664, 1.192969799041748, 0.4180822968482971, -0.10607963800430298, 0.24262762069702148, 0.2676670253276825, 0.9965634942054749, 0.2130018174648285, -0.497821182012558, 1.092018723487854, -0.23264457285404205, -0.2720452547073364, 0.15925976634025574, -0.022816788405179977, 0.5831770300865173, 0.32317784428596497, 0.7757186889648438, -0.38705721497535706, -0.7894320487976074, -0.07581199705600739, -0.5411882400512695, -0.8611007928848267, 1.0154838562011719, -1.0358068943023682, 0.10346690565347672, -0.5811083316802979, 0.5998895764350891, 1.3812255859375, 0.015654170885682106, 0.26354455947875977, -0.9353775978088379, 1.585733413696289, -0.024681754410266876, -0.39442816376686096, -0.015531618148088455, -0.810321033000946, -0.4913274943828583, -0.36639487743377686, -0.4131690263748169, 0.27455028891563416, -0.7694081664085388, 0.030145715922117233, -0.12605497241020203, 1.5093491077423096, 0.009116833098232746, -1.3060756921768188, -0.5070959329605103, 0.0833943635225296, 0.30059292912483215, -0.822365403175354, -0.5915218591690063, -0.4079499840736389, 0.5060024857521057, 0.6153488159179688, 1.709970235824585, 0.014933346770703793, 1.0013426542282104, -0.4854784607887268, -0.6282680034637451, -0.5409988760948181, 1.3663476705551147, 1.227567195892334, 0.015006273984909058, -0.9628732204437256, -0.49097740650177, -0.4456275403499603, 0.04094017297029495, -0.02828793413937092, -0.8365139961242676, 0.9411404728889465, 0.8682452440261841, -0.1514129489660263, -0.7638823986053467, 0.41990071535110474, 0.4336250424385071, 0.036736711859703064, -0.7520268559455872, 0.08144471794366837, -1.0285784006118774, -0.8091007471084595, 0.8858851790428162, 0.13529808819293976, -0.0648302510380745, 0.9778904318809509, 0.32938042283058167, 0.5932667851448059, 0.41153135895729065, -0.4935491681098938, 0.14779703319072723, -0.5228702425956726, 0.006040128413587809, -1.4481627941131592, -0.4201202988624573, -0.0946136936545372, -1.1604065895080566, 0.8019334077835083, 0.5237470269203186, 0.6497961282730103, -1.0982221364974976, 0.1035512238740921, 0.749289870262146, 1.0284641981124878, -0.9080650806427002, -0.7438592910766602, 0.33278149366378784, 0.10894536972045898, -0.42558157444000244, -0.6504335999488831, -0.24905377626419067, 0.23354090750217438, -1.4919183254241943, -0.4409019947052002, 0.5221962332725525, -1.6354011297225952, 0.5419999957084656, 0.08622373640537262, 0.33357441425323486, -0.9835196137428284, 0.3427216410636902, 0.4592828154563904, 0.9910112619400024, -0.0035644543822854757, -0.369295597076416, -0.5216221809387207, 0.9448118805885315, -0.0627347081899643, 0.124783456325531, 0.4921068251132965, -0.026231231167912483, -0.020538227632641792, -1.6298786401748657, 0.44908979535102844, -0.006544998846948147, 0.2732122540473938, 0.4768727123737335, -0.8958796262741089, 0.19792719185352325, -0.14836150407791138, -0.3253822922706604, 1.0878615379333496, -0.11700930446386337, 1.2903854846954346, -0.2240670621395111, 0.30088070034980774, 0.16197282075881958, -1.637650728225708, -1.1431330442428589, -1.009415864944458, 0.8361632227897644, 0.7405948638916016, 0.8278636336326599, -1.0226603746414185, 0.16357684135437012, -0.9281620979309082, 0.7355924248695374, -0.9623857140541077, -0.04903508722782135, -0.68858802318573, -0.5762624740600586, 0.6345375180244446, -0.651993453502655, -0.22754685580730438, -0.26318109035491943, -0.21552619338035583, 0.6231043338775635, -0.5940887928009033, 0.68915194272995, -0.17303943634033203, 0.11266530305147171, 0.062376320362091064, -1.1652796268463135, -0.9953750967979431, 0.13503685593605042, 0.6034432053565979, 0.3363349735736847, 0.7628145813941956, -0.41806837916374207, 0.384385347366333, 0.04275638237595558, -0.5485900640487671, 0.5852265954017639, -0.5907217264175415, -0.3666289150714874, 0.10334432125091553, -2.1863112449645996, 1.3741768598556519, 0.1459251046180725, 0.4845937490463257, 0.6751754283905029, 0.2342899739742279, 0.6381486654281616, 0.8050153255462646, -0.19141703844070435, -0.23146681487560272, 0.6400173902511597, -0.005155613180249929, 0.654616117477417, -0.4505098760128021, 0.7258678078651428, 0.5339486002922058, 0.39700067043304443, 0.681910514831543, 0.5440570116043091, -0.8062371611595154, -0.4297325313091278, 0.5502951741218567, -0.14528107643127441, -0.5421454310417175, 0.7898426651954651, -0.38864630460739136, -0.7619667053222656, 0.24967524409294128, 0.9877510070800781, -0.7841665148735046, -0.09244246780872345, 0.6488193869590759, -0.8309298753738403, -0.28179916739463806, -0.5004466772079468, 0.515799343585968, -1.3940320014953613, 0.6965488195419312, -1.092819333076477, -0.6764832139015198, -0.0841040387749672, 0.06726329773664474, 1.0822744369506836, -0.6175272464752197, -0.3668099343776703, 0.2819298803806305, 0.008986704982817173, -0.972380518913269, -1.2410848140716553, 0.39866912364959717, -0.5750312209129333, 0.6994332671165466, -0.35424724221229553, -0.48865243792533875, -1.4376380443572998, -0.28770071268081665, 0.07357414811849594, -0.39127317070961, 0.3270096480846405, 0.8077175617218018, -0.47602853178977966, -0.724271297454834, 0.7219640612602234, -0.07061376422643661, 0.5571967959403992, -1.2136160135269165, -0.9953163266181946, -1.0119142532348633, 0.8744569420814514, 0.00023778849572408944, -0.08952357620000839, -0.3944087624549866, -0.4761520326137543, -1.3847031593322754, 0.029028719291090965, -2.0248537063598633, 0.4035407602787018, -0.32416456937789917, 1.1075044870376587, -0.13609130680561066, -0.5518611073493958, -0.8629277348518372, -0.22606728971004486, -1.0892174243927002, 0.08788786083459854, -0.2776315212249756, 0.0979822427034378, -0.958785355091095, -0.2544936239719391, 1.1435737609863281, -1.023613452911377, 0.2861783504486084, -0.26684996485710144, -0.25515368580818176, -0.34087643027305603, -1.030828833580017, 0.9783883690834045, 1.2354015111923218, -0.3115330934524536, 0.48920392990112305, 0.8312382698059082, -0.05510801076889038, -0.4583663046360016, 0.5234350562095642, 0.03690921515226364, -0.467997670173645, 0.03183272108435631, 0.23703120648860931, 0.5073927640914917, -1.6112608909606934, 0.3212817907333374, -1.0604846477508545, -0.5893067121505737, -0.6588070392608643, -0.16454683244228363, 0.6942034959793091, -0.08206256479024887, 0.0505266934633255, 0.8921546936035156, 1.1092268228530884, -0.3147205412387848, 0.5235901474952698, 1.0326224565505981, 0.2675999104976654, 0.8236299753189087, -1.352951169013977, 0.7305259704589844, -0.15186907351016998, 0.8880595564842224, 0.9187847375869751, -0.3358273506164551, -0.6862982511520386, 0.15438267588615417, -0.2449590116739273, 0.32900944352149963, 0.2072233408689499, 1.1308661699295044, 0.07367397844791412, -0.2057899534702301, -0.10525360703468323, 0.7170227766036987, 0.3511781394481659, -0.22123177349567413, -0.11814630776643753, -0.429356187582016, 1.7243536710739136, -0.8498310446739197, 0.028429722413420677, -0.7784527540206909, -0.48135828971862793, 0.585155189037323, -0.22901183366775513, 0.31490224599838257, 0.7303391695022583, -0.287258118391037, 0.13999877870082855, 0.5528629422187805, -0.6110976338386536, 0.12773865461349487, -0.24253955483436584, 0.40847674012184143, -0.7124335169792175, 0.07157960534095764, -0.4238542914390564, -0.504254162311554, 0.43918296694755554, -0.29630646109580994, -0.0007969489670358598, -1.1416376829147339, 0.5812546610832214, -1.0235024690628052, 1.274080753326416, -0.8743531107902527, -0.7236576676368713, -0.11230657994747162, 1.3778332471847534, -0.4992324411869049, -1.2326170206069946, 0.10765530169010162, -0.7807947993278503, -1.5477839708328247, 1.1336694955825806, 0.8241650462150574, 0.7661363482475281, 0.636378288269043, -0.45378378033638, -1.0090546607971191, -0.1445218175649643, -0.43377745151519775, -0.8922585248947144, -1.1162199974060059, -0.7116926312446594, -0.6877784729003906, -0.700217068195343, 0.3770509958267212, -0.6399961709976196, 1.092366337776184, -0.47253304719924927, -0.863526463508606, -0.3006122410297394, -0.3590106666088104, 0.6398295760154724, -0.4484020173549652, 0.7920076251029968, -0.35099002718925476, -0.1438438445329666, -1.5890878438949585, -0.975553035736084, 0.8442564010620117, 0.0962258130311966, -0.28566810488700867, 0.291741281747818, -0.9351670145988464, -0.3291724920272827, -0.46911880373954773, -1.2741897106170654, 0.20597714185714722, -0.2397385835647583, -0.516983151435852, 0.3943764269351959, 0.6308139562606812, -1.046700119972229, 0.8136909008026123, -0.8404645919799805, -0.95034259557724, 0.14546114206314087, -0.7678924798965454, -0.7473217844963074, -0.6811630129814148, 1.08885657787323, -0.6145879030227661, 0.031154770404100418, -0.6175629496574402, -0.26398617029190063, 0.7091653943061829, -0.643345057964325, -0.04529719427227974, 0.10570266842842102, 0.07031511515378952, 0.3454926609992981, 0.4244745075702667, -0.10357236862182617, -0.07098488509654999, 1.700472354888916, -0.4415709674358368, 0.2679303288459778, -0.582976758480072, 1.1521891355514526, -0.7570605278015137, 0.7712399959564209, -0.14166755974292755, 0.4742122292518616, 1.3281697034835815, 1.1543447971343994, -0.5323604345321655, 0.2577727138996124, -0.28223827481269836, 0.6303331255912781, 0.8289080858230591, 0.9522348046302795, 0.053019896149635315, -0.5081363320350647, -0.7507549524307251, 0.07989966124296188, -0.19192811846733093, 0.05991073325276375, 0.0032946651335805655, 0.035860538482666016, -0.2371414303779602, -1.0866553783416748, 0.1844169944524765, -0.8649441003799438, 0.14590753614902496, -0.11813288927078247, 0.19215023517608643, -0.34794706106185913, 0.9037002325057983, 0.49484512209892273, -0.7538607120513916, 0.26267603039741516, -1.2633661031723022, 0.8453173041343689, 0.4832495152950287, 1.2884290218353271, -1.7100731134414673, 1.3189536333084106, 1.077935814857483, 0.28024765849113464, 2.1689836978912354, -1.0990991592407227, -1.029590368270874, -0.48796921968460083, -0.8155287504196167, -1.101530909538269, 1.0194668769836426, -0.14282594621181488, -0.06476494669914246, 0.5420708656311035, 0.015921099111437798, 0.21691766381263733, 0.4489605724811554, 1.422705888748169, -0.6636583209037781, 0.9467695951461792, 1.3800770044326782, -0.21824786067008972, -0.8088390231132507, -0.3172069787979126, 0.2996252477169037, 0.697083055973053, -0.8921412229537964, 0.13984078168869019, 0.7799022197723389, -1.8351398706436157, 0.3353863060474396, -0.052577242255210876, 0.8285269737243652, -0.17485128343105316, -0.3559805154800415, -1.1356278657913208, 0.7801392078399658, -0.14025230705738068, 0.5653840899467468, 0.7202839255332947, -1.04477059841156, 1.7144420146942139, 0.6742039322853088, 0.3031962811946869, 0.8106071949005127, -1.2506564855575562, 0.6114680171012878, -0.36719638109207153, 0.32913997769355774, 0.1022612452507019, -1.0508489608764648, -0.6172201037406921, 0.48024237155914307, 1.1517198085784912, -1.1345443725585938, 0.4890769124031067, -0.07038095593452454, -0.2781885266304016, -0.2370394617319107, 0.31401965022087097, -0.3269197940826416, 0.3941710889339447, -0.08621195703744888, -0.2961183488368988, 1.3104023933410645, -0.8423145413398743, 0.0958046242594719, 1.8256452083587646, -7.834132671356201, 0.26675617694854736, -0.23658312857151031, -0.46920034289360046, 0.7266333103179932, 0.5376351475715637, -0.31581395864486694, -0.5183179378509521, -0.488561749458313, 0.2720482349395752, -1.120510458946228, -0.9165928959846497, -0.8296553492546082, 0.3568766415119171, 0.4943850636482239, -0.2788374722003937, -1.7536505460739136, 0.17610803246498108, -1.1471052169799805, -0.4582809805870056, -0.6903908848762512, -1.3340600728988647, -1.219679832458496, -0.12605977058410645, 1.8780592679977417, -0.5016831159591675, -0.4927522540092468, -0.435947448015213, 1.1594011783599854, 0.1843874454498291, -0.20322738587856293, -0.6541264057159424, -0.24846899509429932, -0.5450994968414307, -0.4574335813522339, -0.6612704396247864, -0.5758524537086487, 1.6618709564208984, -0.7324976921081543, -0.7303323745727539, -0.6560710072517395, 0.2100505232810974, -0.18208341300487518, -0.23339484632015228, 0.07864778488874435, -0.4564107656478882, 0.6117311716079712, 1.058632493019104, 1.0835250616073608, 0.08170843124389648, -0.330781489610672, -0.2523189187049866, 0.5521557331085205, -0.8820876479148865, 1.2249212265014648, 0.403598815202713, 1.7990916967391968, -0.3125389814376831, -0.3392576277256012, -0.2742789089679718, -0.46223151683807373, -1.2284488677978516, -0.3773946166038513, 0.20724426209926605, -0.10866157710552216, 0.2732636332511902, -0.0512712188065052, 0.8562330603599548, 0.16136634349822998, 1.6116145849227905, -1.0639346837997437, 0.9290204644203186, 0.6955723166465759, -1.9138027429580688, -2.349414825439453, -0.20744670927524567, -0.4237910509109497, 0.06583283841609955, 0.22213685512542725, -0.7340487241744995, -0.27612829208374023, 1.4771723747253418, 0.41648221015930176, 0.5694482326507568, -0.7586082816123962, 0.0030166623182594776, 0.32517585158348083, -0.2777513861656189, -0.32359662652015686, -0.10124772042036057, 0.5439439415931702, 1.3542569875717163, -0.676464319229126, 0.2608028054237366, -0.6314907670021057, 0.1777815818786621, -0.0029782389756292105, -0.5470998883247375, -0.12994936108589172, -1.2933555841445923, 0.11617299169301987, 0.9023268818855286, 1.282930850982666, -0.1286664754152298, -0.2543838620185852, 1.166345477104187, 0.8101454973220825, 0.11507004499435425, 0.039881329983472824, -0.2397409826517105, -0.19835640490055084, 0.2742207646369934, -0.2793830931186676, -0.10385818779468536, -0.6200114488601685, 1.5347596406936646, -0.16327226161956787, 1.021506428718567, 1.4215574264526367, 1.4550750255584717, -0.2584271728992462, -0.5895005464553833, 1.024630069732666, 0.129537433385849, -0.060685381293296814, -0.6712823510169983, 0.2321016788482666, -0.09168250113725662, 0.22038978338241577, 0.34944823384284973, 0.5232985615730286, -0.553395688533783, -0.3632212281227112, -0.9311972260475159, 0.6043820381164551, -1.4811851978302002, -0.14387156069278717, 1.1086788177490234, -0.1574469655752182, -0.1975795477628708, -1.267022728919983, -0.17613822221755981, 0.1909550279378891, -0.21934621036052704, 0.476420521736145, -0.030860019847750664, -0.46834492683410645, -0.5028740167617798, -0.45675933361053467, 0.5028003454208374, -0.7388010025024414, 0.98411625623703, 1.2201368808746338, 0.03447417914867401, -0.800484836101532, -0.6715010404586792, 0.2628509998321533, -0.6968212127685547, -0.8580291867256165, -0.0309748537838459, -0.14507873356342316, 0.4504014551639557, -0.23860207200050354, 0.049460187554359436, 0.4316003620624542, -0.7534283995628357, -0.45770591497421265, 0.20849347114562988, -0.04892849177122116, 0.3437648415565491, 0.7236043214797974, -1.0031791925430298, 0.2459084391593933, 0.31401434540748596, 0.33410564064979553, 1.3573648929595947, -0.3771299123764038, -0.8420217037200928, -0.709749162197113, -2.2759785652160645, 0.28473615646362305, -0.8388623595237732, 0.1415942758321762, -0.8467041850090027, 0.9025303721427917, 0.9774576425552368, -0.785394012928009, -0.6726492643356323, 0.7238104343414307, 0.7843816876411438, 0.3876108229160309, 0.32171431183815, 0.5341232419013977, -0.04750804975628853, 0.8278811573982239, 0.5436724424362183, -0.06595681607723236, 0.1621466726064682, -0.3830724060535431, -0.26909172534942627, -1.5290714502334595, -1.1065245866775513, 1.0543463230133057, -0.17928023636341095, -0.15638303756713867, 0.24306026101112366, -1.0856952667236328, 0.24536782503128052, 0.03409279137849808, -0.14371821284294128, 0.7581652402877808, 1.0493043661117554 ]
1,008
0704.1010
Behrang Noohi
Behrang Noohi
Group actions on algebraic stacks via butterflies
Revised version of the preprint previously titled "Automorphism 2-group of a weighted projective stack"
null
null
null
math.AG math.QA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce an explicit method for studying actions of a group stack G on an algebraic stack X. As an example, we study in detail the case where X=P(n_0,...,n_r) is a weighted projective stack over an arbitrary base S. To this end, we give an explicit description of the group stack of automorphisms of, the weighted projective general linear 2-group PGL(n_0,...,n_r). As an application, we use a result of Colliot-Thelene to show that for every linear algebraic group G over an arbitrary base field k (assumed to be reductive if char(k)>0) such that Pic}(G)=0, every action of G on P(n_0,...,n_r) lifts to a linear action of G on A^{r+1}.
[ { "created": "Sun, 8 Apr 2007 03:26:16 GMT", "version": "v1" }, { "created": "Wed, 4 Sep 2013 21:12:15 GMT", "version": "v2" } ]
2013-09-06
[ [ "Noohi", "Behrang", "" ] ]
07
[ 0.8780460953712463, -0.8663586974143982, -0.6284846067428589, 0.3504141867160797, 0.1744168996810913, 0.03838637098670006, 0.32240378856658936, -0.1856737583875656, -1.5896751880645752, -0.1603267639875412, 1.0035964250564575, -0.09036015719175339, 0.16739912331104279, 0.39615944027900696, -0.15967662632465363, 0.06833492964506149, 0.008809372782707214, -0.06993529945611954, -1.03587806224823, -2.2127845287323, 0.09777570515871048, -0.3644687533378601, 0.5255715250968933, -0.5676708817481995, -0.8861480355262756, 0.4672454297542572, -0.7114048600196838, -1.1057428121566772, -0.7071130871772766, -1.2252956628799438, -0.0015404066070914268, -0.19706659018993378, -1.1283812522888184, -0.489024817943573, 0.29741230607032776, -0.08645720034837723, -0.5848538279533386, -0.7821393013000488, -0.10713669657707214, -0.4541214108467102, 0.5952607989311218, -0.06738325208425522, -0.09039128571748734, -0.2941805124282837, -0.2555557191371918, -1.094449520111084, -0.48053017258644104, 0.16296689212322235, 0.7211609482765198, 1.7133034467697144, -0.33825114369392395, 0.16056284308433533, 0.6735735535621643, -0.13792365789413452, -0.24343805015087128, -0.8624951243400574, 0.11958857625722885, -0.9334684610366821, -0.5135504007339478, 0.15699812769889832, -0.4126116931438446, -0.7912243604660034, 0.392395555973053, 0.4352456331253052, 0.22074367105960846, -0.9189015626907349, 0.2906591594219208, 0.8382470011711121, 0.37941431999206543, -0.4106575548648834, 0.4299927353858948, -0.9062314033508301, -0.41556262969970703, 0.4931476414203644, -0.2545097768306732, 1.1571658849716187, -0.284229576587677, 0.2657785415649414, 0.5296978950500488, -0.4441048800945282, 1.0738894939422607, 0.442400187253952, 0.01651025377213955, 1.1422382593154907, 0.9765832424163818, 0.35380104184150696, 0.9023787975311279, 1.0714186429977417, -0.727037250995636, 0.5907448530197144, 0.4433731734752655, 0.7101984024047852, 0.610831618309021, 0.014104927890002728, 0.09526772797107697, -0.420247882604599, -0.045300256460905075, -0.07767079770565033, -0.6122463345527649, -0.4537532329559326, 0.991668164730072, -0.3837892711162567, -0.362627774477005, 0.06290978938341141, -0.10332679003477097, 0.7875415086746216, -0.33010736107826233, -1.778865098953247, -0.2699319124221802, -0.5068078637123108, 1.1953662633895874, -1.4088666439056396, 0.07911792397499084, -0.6692644357681274, -1.170732855796814, 0.05931805446743965, 0.8015667200088501, 0.6407536268234253, -1.5820412635803223, 0.636181652545929, 0.9483912587165833, -0.3732173442840576, 0.2120543122291565, 0.17970043420791626, 0.3545072376728058, 1.121877908706665, -1.1024011373519897, -0.9032168388366699, -0.025681396946310997, -0.2919066250324249, 0.9576356410980225, 0.3494263291358948, 0.393347829580307, -1.2938556671142578, -0.5359352231025696, 0.4034905433654785, -0.7449299693107605, 0.13256986439228058, 0.28283897042274475, -0.2498409003019333, 1.3674414157867432, -0.2943669855594635, -0.4038410186767578, -0.7925975322723389, 0.5937827229499817, -1.7628666162490845, -0.19530095160007477, -0.1277865320444107, 0.07886628061532974, 0.46725115180015564, -0.5598547458648682, -0.023780783638358116, 0.303530752658844, 0.866627037525177, -0.5095837712287903, -0.032831452786922455, 0.017977507784962654, 1.0878510475158691, -0.6771773099899292, 0.7038448452949524, -1.4579672813415527, 0.09725920110940933, -0.4204615652561188, 0.9667145013809204, 0.5047822594642639, -1.3695275783538818, -0.24202415347099304, -1.2157832384109497, 0.7084119319915771, 0.568387508392334, -0.5829063653945923, -0.47732487320899963, -0.19960957765579224, -0.3541601002216339, 0.8493861556053162, 0.5127329230308533, 0.2782280147075653, -1.149366855621338, -0.1100228950381279, 0.02062804624438286, -0.34688013792037964, 0.6816412806510925, -0.2507380545139313, -0.5510104298591614, 0.26583120226860046, -0.5807550549507141, 1.070205569267273, 0.8363043665885925, -0.2776597738265991, 0.48506632447242737, -2.0228867530822754, -0.17625270783901215, -1.6525776386260986, -0.020206090062856674, -0.717686116695404, 0.7754670977592468, 0.39271798729896545, 0.3683767020702362, -0.780446469783783, -0.9220899343490601, -0.21342726051807404, -0.7283660173416138, 0.0017822189256548882, -1.097319483757019, -2.4023854732513428, 1.2992160320281982, 0.08171754330396652, -0.3278754651546478, 1.5654608011245728, -1.1915631294250488, -0.6212202906608582, -0.2029143124818802, -0.0994400754570961, 0.6842124462127686, 0.2850288152694702, 0.09848912060260773, -0.7411983609199524, -0.24818843603134155, -0.7821770906448364, 1.0606073141098022, -0.6677762866020203, 0.20583893358707428, 0.26110178232192993, -0.09430291503667831, 0.7496833205223083, -0.6796164512634277, 0.41183018684387207, 0.34538909792900085, -0.2763238251209259, -0.471277117729187, -0.19117403030395508, 0.06596989184617996, 0.6093295216560364, 0.027045708149671555, -0.020371653139591217, -1.0923125743865967, 0.32836687564849854, -0.9502556324005127, -0.20004813373088837, 0.9960430860519409, -1.153444766998291, 1.7233433723449707, -0.11712551862001419, -0.08349776268005371, -1.264959692955017, -0.46633902192115784, 1.3397514820098877, -1.1066089868545532, 0.46677854657173157, -0.5854243636131287, -0.5589986443519592, 0.02984529547393322, -1.2125638723373413, 0.13041287660598755, -0.581096351146698, -0.5222007632255554, -0.18405206501483917, -0.524204671382904, -0.3855710029602051, 0.08394235372543335, -1.3547494411468506, -0.14459212124347687, -0.4318610727787018, 1.1068041324615479, -0.1476956605911255, -0.6370351910591125, -0.41409286856651306, -0.06115852668881416, 1.5795406103134155, -0.4415980875492096, 0.058686718344688416, 1.4565131664276123, 0.6418358087539673, 0.7416215538978577, 1.041084885597229, -0.2859306335449219, -0.2880157232284546, 0.9011728763580322, 0.14628641307353973, -1.177666425704956, -0.3968029320240021, 0.2606230080127716, 0.24108684062957764, 0.3570152521133423, 0.15862056612968445, 0.27664345502853394, -1.1101505756378174, 0.5577815771102905, 0.35375845432281494, 0.7800039052963257, 0.8582149744033813, -0.3934501111507416, -0.7527195811271667, -1.485142707824707, 0.012586232274770737, 0.9473820328712463, -0.34439215064048767, -0.38777121901512146, 0.5664211511611938, 0.4555680453777313, 0.3385358154773712, 0.1563088595867157, -0.45353755354881287, 0.09683126211166382, -0.34510913491249084, -0.9132452011108398, 0.4994783103466034, -0.4416254758834839, 0.3909156322479248, -0.8316294550895691, -0.2989264726638794, 0.9734136462211609, 0.36267977952957153, -0.7333856225013733, 0.44374191761016846, -0.6747527718544006, -0.9212779998779297, -0.6484516263008118, -0.5172572731971741, 1.4193613529205322, -1.1679213047027588, -0.12549008429050446, 1.9881080389022827, 0.26395678520202637, 0.12230445444583893, -0.6061092615127563, 0.6240748167037964, 0.3563154637813568, 0.09967999905347824, -0.7090688943862915, -0.24230676889419556, -0.6359424591064453, 0.3735804855823517, 0.3105299174785614, -0.528130829334259, -0.670673668384552, 1.1536394357681274, 0.010083889588713646, 0.3549407720565796, 0.15650278329849243, 0.13781091570854187, 0.8246698379516602, 0.5530891418457031, -1.0320590734481812, -0.7311893701553345, 0.40208280086517334, 0.5180233120918274, 0.10211129486560822, -1.6053775548934937, -0.19579081237316132, 1.0537052154541016, -0.9909698367118835, 0.023024782538414, 1.102479100227356, -0.03203417360782623, 0.02669462189078331, 0.5052896738052368, 0.6720422506332397, 0.41134020686149597, 0.8183055520057678, -0.738914430141449, -0.03797983005642891, -1.071359395980835, -0.778613269329071, -0.7345547080039978, 1.157410740852356, -0.9211632609367371, -0.5536513924598694, 0.2422972023487091, -0.9646561741828918, 0.16774049401283264, -0.2169591635465622, -0.25594562292099, -0.037065114825963974, -0.08584742248058319, -0.0646112784743309, -0.6698164343833923, -0.33709394931793213, 0.5117330551147461, -0.23622506856918335, 1.0533632040023804, -0.27681267261505127, -0.8821361660957336, -1.0982252359390259, 0.15421375632286072, 1.4198020696640015, 1.1558319330215454, 0.03925151377916336, 0.7844721078872681, -0.6667405962944031, 0.07274564355611801, -0.9267564415931702, 0.47071313858032227, -0.2508136034011841, -0.05288561061024666, 0.8032763600349426, -0.0056198774836957455, -0.38935795426368713, -0.5158946514129639, 1.0362834930419922, 0.6350201964378357, 0.15834636986255646, -0.2096908688545227, -0.10161007195711136, 1.1489907503128052, 0.8404449224472046, 0.699932336807251, 0.4347637891769409, 0.6135783195495605, -0.15813258290290833, -0.42994534969329834, 1.0243828296661377, -0.7715440392494202, 0.6050517559051514, -1.1244730949401855, 0.437730610370636, 0.7443336248397827, 0.2301734983921051, 0.6428226828575134, -0.6014496684074402, -0.41311708092689514, 0.21981550753116608, -0.03876548260450363, 1.5063503980636597, -0.5784300565719604, -1.0289561748504639, 0.23780325055122375, -0.5651091933250427, -0.318762868642807, -0.6791472434997559, 1.1989684104919434, -0.1158512756228447, -1.0283719301223755, -0.009168719872832298, 0.046670664101839066, 0.49709561467170715, -0.18009032309055328, 1.0227701663970947, 0.35031601786613464, -0.24831460416316986, 0.4187033176422119, 1.655029296875, 0.6466825604438782, -0.4881778657436371, 0.4175906777381897, -0.5544933676719666, 0.19376374781131744, 1.316483497619629, -0.5240885615348816, -0.01068128366023302, 0.4704071581363678, -0.5088234543800354, 0.009769821539521217, -0.1616617739200592, 1.2284464836120605, 0.07017657160758972, -0.13524945080280304, 0.10773460566997528, 0.10645493865013123, -0.48912903666496277, -0.1384245604276657, -0.290688157081604, -0.18556535243988037, -1.039986491203308, 0.4998880922794342, -0.1728128343820572, 0.12073460221290588, 0.26173049211502075, 0.73094642162323, 0.4149237871170044, -0.5966509580612183, -1.012894868850708, 0.6913551092147827, -0.434518963098526, -1.4219077825546265, 0.20558199286460876, -0.3480587899684906, 0.5495568513870239, -0.6794179081916809, 0.06066101789474487, 1.485903263092041, 0.9347761273384094, -0.8513179421424866, 0.19488051533699036, -0.09778967499732971, 0.9561225175857544, 1.2497775554656982, 1.4292930364608765, -0.27977126836776733, -0.33715593814849854, 0.44738319516181946, -0.44657593965530396, 1.226387619972229, -0.38595786690711975, -0.0671757161617279, 0.3161478638648987, 0.3550969064235687, -1.1866297721862793, -0.6693734526634216, 0.38921183347702026, 0.10221979022026062, 0.3162367045879364, 0.58198082447052, 0.10321886837482452, -0.19381500780582428, 0.47730594873428345, -0.2800787687301636, 0.3568224608898163, -0.36639857292175293, 0.8547175526618958, -1.1613950729370117, -0.932867169380188, 0.5830234885215759, -0.39927008748054504, -0.9564118981361389, -0.2539038360118866, 0.7982450127601624, -2.5780882835388184, 0.04293057695031166, 1.0567904710769653, 0.9966831803321838, 0.17277076840400696, -0.3633038103580475, -0.6828299164772034, -1.1109076738357544, -0.029699990525841713, 0.8470540642738342, -0.9630098938941956, -0.7527381181716919, 0.37625569105148315, 0.5504688024520874, 0.09597928076982498, 0.8618232011795044, 0.6996958255767822, 0.08660933375358582, -0.38422802090644836, 0.2091539204120636, 0.6664129495620728, -0.5299876928329468, 0.012904027476906776, 0.4430083632469177, -0.6299863457679749, 0.31038570404052734, -0.9207947254180908, 0.7929056882858276, 0.06301537156105042, 0.5915448665618896, -0.009324219077825546, -0.49166935682296753, 0.29389750957489014, -0.07399260997772217, -0.4769916832447052, 0.9594975709915161, 0.504586935043335, -0.6812944412231445, 0.5699309706687927, -7.4973344802856445, 0.07036209851503372, 0.3175159692764282, 0.08243081718683243, 0.7134067416191101, 0.40923362970352173, 0.5081955194473267, -0.691913902759552, 0.12458527833223343, -0.13886117935180664, 0.38002243638038635, 0.4668211340904236, -0.5721431374549866, -0.2546561062335968, -1.3765286207199097, 0.4273609519004822, -0.38649100065231323, -0.20947176218032837, 0.14199279248714447, -0.314606636762619, 0.8075902462005615, -0.022691182792186737, 0.184368297457695, -0.4498332738876343, 2.246519088745117, -0.21460576355457306, -0.6609464883804321, -0.6762751936912537, 1.010661244392395, 0.6111190319061279, -0.8032758235931396, -0.35358017683029175, 1.1753474473953247, -0.8038161993026733, -0.6555391550064087, -0.8020580410957336, 1.3862537145614624, 0.1539846658706665, -1.2626134157180786, -0.26114413142204285, 0.23275329172611237, -1.8114336729049683, 0.0962560623884201, -1.9394328594207764, 0.2927446961402893, 0.04927607625722885, -0.04608842357993126, 1.244436502456665, -0.42039039731025696, -0.14329621195793152, 0.18057893216609955, -0.7794956564903259, 0.873031497001648, -0.22475028038024902, 0.1313270777463913, 0.8530877232551575, -0.12440652400255203, 0.43504342436790466, -1.0586425065994263, -0.8934476375579834, -0.469904363155365, -1.579160451889038, -0.2835579812526703, 0.3521203100681305, -1.054823875427246, -1.006826639175415, 1.0210322141647339, -0.42327937483787537, -0.6165263652801514, 0.26227471232414246, -1.4024279117584229, 0.36698511242866516, 0.580014169216156, -1.125187873840332, -1.1493263244628906, 0.15133418142795563, -0.3932897746562958, 0.6826683282852173, -0.7446512579917908, -1.075207233428955, 0.1365155726671219, 0.16476385295391083, -1.0844234228134155, -0.50847327709198, -0.6896002292633057, 0.9689455628395081, -0.0008635881822556257, 0.31045350432395935, 0.5489077568054199, 0.4241059124469757, -0.5728129148483276, -0.18487665057182312, -0.7886846661567688, -0.06347371637821198, -0.7191382050514221, -0.05539216473698616, -0.5699962377548218, -0.047224707901477814, 0.12227268517017365, -0.18083456158638, 0.6787980794906616, 0.9182989597320557, 1.4687176942825317, -0.11783912032842636, -0.9394333958625793, -0.7616137266159058, 0.46548619866371155, -0.6033987998962402, 0.3935091495513916, 0.2715706527233124, -0.5627835392951965, -0.14419230818748474, -0.21588467061519623, 0.5617601871490479, -0.09273132681846619, 2.5940558910369873, 0.04208975285291672, 0.5112537145614624, 0.20694100856781006, 1.0704385042190552, -0.6259572505950928, -0.3542877733707428, 1.171385645866394, -0.3553275763988495, 0.7568561434745789, -0.35107725858688354, -0.34916895627975464, -0.09147795289754868, -0.1066412627696991, 0.6747190952301025, -0.15035384893417358, -0.19832611083984375, -1.160473108291626, -1.0778934955596924, -0.8019223213195801, -1.3156417608261108, -1.5059951543807983, 0.6360945701599121, -0.6635794043540955, 0.1475738286972046, 0.08658766001462936, -1.930673599243164, 0.5638189315795898, 0.3766009509563446, -0.4757555425167084, -0.7468475699424744, 0.8859665989875793, -1.1243093013763428, 0.26808851957321167, -0.2320510596036911, -0.40984097123146057, 2.231199026107788, 1.0315574407577515, -0.4924357533454895, -0.9415209889411926, -0.5130952000617981, 0.8053427338600159, -1.9690169095993042, -0.9646097421646118, 0.6039736866950989, 0.952758252620697, -0.6788044571876526, 1.2967348098754883, -1.316070795059204, 1.3736162185668945, -0.5396706461906433, 0.3276854157447815, -0.031596001237630844, 1.2693952322006226, 0.17218536138534546, 0.06086506322026253, 0.35035017132759094, 0.33835187554359436, 0.13212274014949799, 0.12452453374862671, 0.28885555267333984, -1.0203008651733398, -0.44786909222602844, 0.25405585765838623, -1.1442945003509521, 2.130013942718506, -1.3843492269515991, -0.32470080256462097, 0.25737568736076355, 1.9609942436218262, 0.2948002517223358, -0.0991247221827507, -0.061368487775325775, 1.3733547925949097, -0.5448548197746277, -0.4069548547267914, 0.3446330726146698, 0.7258604168891907, -0.7821439504623413, -0.17437374591827393, -1.0830984115600586, 0.4471017122268677, -0.2235235720872879, -0.2277689129114151, -0.9410679936408997, 0.6197741627693176, 0.6982863545417786, -0.3857216238975525, -0.31406742334365845, 0.1806964874267578, -1.1431399583816528, -0.9663248658180237, 0.43063369393348694, -0.693092942237854, -0.08457185328006744, 0.09308810532093048, -0.9931873679161072 ]
1,009
0704.1011
Kapil Krishan
Kapilanjan Krishan, Andreas Handel, Roman O. Grigoriev, Michael F. Schatz
Modal Extraction in Spatially Extended Systems
5 pages, 6 figure
null
null
null
physics.flu-dyn
null
We describe a practical procedure for extracting the spatial structure and the growth rates of slow eigenmodes of a spatially extended system, using a unique experimental capability both to impose and to perturb desired initial states. The procedure is used to construct experimentally the spectrum of linear modes near the secondary instability boundary in Rayleigh-B\'{e}nard convection. This technique suggests an approach to experimental characterization of more complex dynamical states such as periodic orbits or spatiotemporal chaos.
[ { "created": "Sun, 8 Apr 2007 03:42:53 GMT", "version": "v1" } ]
2007-05-23
[ [ "Krishan", "Kapilanjan", "" ], [ "Handel", "Andreas", "" ], [ "Grigoriev", "Roman O.", "" ], [ "Schatz", "Michael F.", "" ] ]
07
[ 0.037290845066308975, 0.39507853984832764, 0.33967238664627075, 0.5193857550621033, -0.18041737377643585, -0.22853288054466248, 1.9318658113479614, -0.14807093143463135, -0.8972662687301636, 0.6381909251213074, -0.49363768100738525, -0.2533450722694397, 0.30336499214172363, 1.4472054243087769, -1.3660120964050293, 1.1833263635635376, 1.0938899517059326, -0.8780282735824585, -1.02857506275177, 0.18780845403671265, 0.8215301036834717, -1.2237268686294556, -0.45737963914871216, 0.3762456476688385, 0.08357079327106476, -0.023991497233510017, 0.11457884311676025, 0.6120034456253052, -0.9145490527153015, 0.4493520259857178, -0.20699766278266907, 0.15444500744342804, 0.42755499482154846, 0.4340149760246277, -0.574510395526886, 0.004026712849736214, 1.3768843412399292, 0.17622603476047516, 0.5364784598350525, -0.7599366307258606, -0.4501660168170929, 0.7303340435028076, -0.3268970847129822, -0.644608736038208, 0.4819834530353546, 0.3692910373210907, -0.01869231089949608, -0.12916573882102966, 0.43589264154434204, -0.8165857791900635, 0.3130755126476288, 1.1212341785430908, 0.4932849407196045, 1.4664831161499023, -0.2892910838127136, -0.81691974401474, -0.4838751256465912, -0.17115771770477295, 0.8660876750946045, -1.0061357021331787, -0.22751881182193756, -0.23455901443958282, -1.0450595617294312, -0.5980165004730225, -0.1990712583065033, -0.007882402278482914, 1.6505661010742188, -0.43687498569488525, -0.3257877826690674, 0.1686898022890091, -0.1835683137178421, -1.220814824104309, 0.2054828703403473, 0.08808890730142593, -1.1540566682815552, 0.7417761087417603, -0.17774280905723572, 0.7359034419059753, 1.3038768768310547, -1.1130938529968262, 0.7877573370933533, -1.061183214187622, 0.8298013806343079, -0.5692830085754395, -1.048093318939209, -1.144174337387085, -0.9319808483123779, -0.024774061515927315, -0.1396719217300415, 0.5018444657325745, -0.24368125200271606, -1.1138615608215332, -0.2257077693939209, -0.43324384093284607, 1.0323679447174072, 1.0450321435928345, -0.5154769420623779, -0.7537113428115845, 0.5511562824249268, -0.23861825466156006, -0.8171795010566711, 0.5586856007575989, 0.36720791459083557, 0.4898117780685425, 0.5520378947257996, -0.28046914935112, 0.6052396893501282, -1.240207552909851, -0.28255587816238403, -0.1905718594789505, -0.9699760675430298, -1.0072765350341797, 0.8643714785575867, 0.6534454822540283, -0.7449269890785217, -0.07709188014268875, 0.2753676176071167, -0.49509817361831665, -0.2466217577457428, 0.18983185291290283, 0.39732658863067627, 0.4739817976951599, -0.0683155432343483, 1.1874325275421143, 1.3139152526855469, 0.272207111120224, -0.20894725620746613, -0.8104639053344727, -0.31229540705680847, 0.776781439781189, 0.35715144872665405, 0.36068955063819885, -0.9082027673721313, 0.4299316704273224, -0.6070066094398499, -0.32652464509010315, -0.2819330096244812, 0.04779417812824249, 0.4510064125061035, -0.5333800315856934, 0.45710065960884094, -0.12327266484498978, -1.2569483518600464, 0.06301108002662659, -0.6038652062416077, -0.6837220191955566, 0.47274598479270935, 0.6255620718002319, 0.6702306866645813, -0.37708309292793274, 0.8139135241508484, -0.8896539807319641, -0.3340841829776764, 0.9075697660446167, -0.7778173089027405, -0.4270840287208557, -0.15537509322166443, 0.08301688730716705, 1.1773496866226196, -0.15002426505088806, 0.0069311256520450115, 1.0357362031936646, 0.5265565514564514, -0.6422024965286255, 0.11576559394598007, -0.930901288986206, -0.31295284628868103, 0.583229124546051, 0.8371683955192566, 0.33944836258888245, -0.7325791716575623, -0.886730968952179, -0.8077321648597717, 0.6549755334854126, -1.592404842376709, -0.2343384027481079, 0.7323830723762512, 0.7319998145103455, -0.33074185252189636, 0.40371018648147583, -0.4179610013961792, -0.4129449129104614, -0.2808833420276642, 1.0062462091445923, -0.40167224407196045, -0.020809730514883995, 0.6585820317268372, -0.17401568591594696, 0.9290820956230164, 0.4252757728099823, 0.8395093083381653, 0.2864341139793396, -0.4511449337005615, 0.09198334068059921, -0.3858763873577118, 1.3770159482955933, -0.3274485468864441, -0.1038837656378746, -0.6534304618835449, -0.3697875142097473, 0.24655751883983612, 0.09563637524843216, -0.6548922061920166, 0.47700196504592896, -0.40014296770095825, -0.19467563927173615, 0.09819164127111435, -0.762097179889679, -0.09327404201030731, 0.4314862787723541, 0.0966937392950058, 0.16881081461906433, -0.8817515969276428, 0.5032545924186707, 0.3774941563606262, -0.617062509059906, -0.0725482702255249, -1.5648492574691772, -1.195542812347412, 0.2817744314670563, 0.48494651913642883, 1.4376028776168823, 0.6874591112136841, 0.49711745977401733, -0.6437113285064697, 0.41845232248306274, 0.011296039447188377, -1.5707956552505493, 0.032242730259895325, -0.8174172639846802, -0.5616196990013123, -1.3592275381088257, -0.7455824017524719, -0.5432033538818359, 0.2269618958234787, -0.1950112283229828, 0.5707462430000305, 1.1824244260787964, 0.31056228280067444, -0.8455237150192261, -0.3098759055137634, -0.27744874358177185, 0.31164485216140747, 0.3610819876194, 0.7470232248306274, 1.0692182779312134, 0.47018754482269287, 0.9202497005462646, 0.2618104815483093, -0.10656441003084183, -0.4128306210041046, 0.3368558883666992, 0.8154643177986145, 0.2678048014640808, 0.285678893327713, 0.0839594230055809, 0.23736755549907684, -0.7610980868339539, -0.38678449392318726, 0.522786557674408, 0.9831516146659851, 0.2527077794075012, 0.884907066822052, -0.4668307602405548, -0.8269376158714294, -0.283466100692749, 0.7783079743385315, -0.8301611542701721, -0.41242340207099915, -0.40250420570373535, -0.43654802441596985, 0.33388563990592957, 1.2166129350662231, 1.098728060722351, 0.5366480350494385, 0.6790440678596497, 0.5453839898109436, -0.1929839700460434, -0.1472303867340088, -0.5601004958152771, 0.5738231539726257, -0.06333693861961365, -0.46878600120544434, -0.2122495323419571, -0.44909584522247314, -0.08442904055118561, 0.5300028324127197, 0.3198506832122803, 1.152976632118225, 0.08129698038101196, 0.29262182116508484, 0.31253039836883545, -0.33546796441078186, 0.5134270787239075, -1.138921856880188, -0.5767644643783569, -0.4590967893600464, 1.459677815437317, -0.8343978524208069, -1.3676270246505737, 0.17840752005577087, -1.1308988332748413, -0.8611260056495667, 0.19577433168888092, 0.5596131086349487, -0.11233226209878922, -1.1599974632263184, 0.7078895568847656, -0.45319992303848267, 0.38967302441596985, -0.48353591561317444, 0.3602661192417145, 1.1724339723587036, 0.4176090955734253, 0.5508242249488831, 0.20773588120937347, 1.2726271152496338, -0.16517703235149384, 0.016103822737932205, -0.6737054586410522, -0.7434981465339661, 0.27218863368034363, -0.7881401777267456, -0.48321333527565, 0.45255860686302185, -0.848567545413971, -0.589626133441925, -0.6468507647514343, 0.35093599557876587, -1.3147612810134888, 1.0260943174362183, -0.3654385209083557, -1.1014589071273804, -0.05169385299086571, -0.24162857234477997, -0.629770815372467, -0.3025881052017212, -0.43986016511917114, 1.4788107872009277, 0.07354680448770523, -0.8523728251457214, 2.2815492153167725, -0.011736362241208553, -0.2544340491294861, -0.9236451983451843, -1.2818186283111572, -0.28829073905944824, -0.5548908710479736, 0.20951081812381744, 0.006175169721245766, -0.7579110860824585, -0.24472840130329132, -1.3469781875610352, 0.843349039554596, 0.48720699548721313, 0.4063771963119507, 0.8693535923957825, 0.881061315536499, 0.1864674985408783, -0.9449880719184875, 1.2381718158721924, -0.39316970109939575, -0.2591041028499603, 0.7180707454681396, 0.14955495297908783, -0.7855971455574036, -0.27041611075401306, 0.27208277583122253, -0.22945290803909302, -0.7415369153022766, -0.6448463797569275, -0.2039397656917572, -0.28482216596603394, -1.1182565689086914, -0.5569376349449158, 0.9444546103477478, -0.9937846064567566, -0.2889511287212372, 1.2936983108520508, 0.6359419226646423, -0.9702210426330566, -0.23839157819747925, 0.6164566278457642, -0.10839255899190903, -0.7790238261222839, 0.5363995432853699, 0.4632251262664795, 0.21443785727024078, -1.5953800678253174, 0.34965094923973083, -0.04121828451752663, -0.24740223586559296, 0.6489517688751221, 0.4049570858478546, 0.8195511102676392, -0.19659407436847687, 1.8338512182235718, 1.197746753692627, 1.268852949142456, 0.7292191386222839, 0.13699297606945038, -1.486053705215454, -1.4633777141571045, -0.4351606070995331, -0.5573204159736633, -0.40646570920944214, 0.24011021852493286, -0.09678509831428528, 0.4551842510700226, 0.2881927788257599, 0.919890820980072, -1.1717053651809692, 0.8907449245452881, -0.44236674904823303, 1.4617072343826294, -1.4497685432434082, -0.8693023324012756, -0.17972509562969208, 0.32207372784614563, -1.1384471654891968, -0.29550477862358093, 0.42067697644233704, 0.6875376105308533, 0.248796746134758, 0.06689585000276566, 0.8962063193321228, -1.4357553720474243, -0.18393701314926147, -0.243076890707016, 0.40830570459365845, -0.7235250473022461, -2.1734094619750977, 0.04574465751647949, 0.6054567098617554, 0.9075449109077454, 0.6402638554573059, 0.15574774146080017, 0.4692145884037018, 0.18154771625995636, 0.27958646416664124, -0.402539998292923, -0.749434769153595, -0.11316363513469696, 0.054486166685819626, 1.2628023624420166, -0.6951524615287781, -0.3151814937591553, -0.326399564743042, 0.03836602345108986, -0.4597296416759491, -0.9333912134170532, 1.7751693725585938, 0.6477983593940735, -0.28477948904037476, 0.19475653767585754, -1.074534296989441, 0.019456593319773674, -0.7363549470901489, -1.1258935928344727, -0.818455696105957, -0.5952947735786438, -0.8796183466911316, 0.3728163242340088, -1.2319697141647339, 0.761340856552124, -0.5564223527908325, 0.8070977926254272, -0.8769332766532898, 0.9677730202674866, 0.7862823605537415, -0.024005373939871788, -0.59420245885849, -0.8709719777107239, 0.4804888963699341, -0.04771363362669945, 2.454833507537842, -1.5059788227081299, -0.4667339622974396, 0.029228392988443375, 0.038460422307252884, 0.30992650985717773, 0.19803495705127716, 0.15647916495800018, -0.9098028540611267, -0.3542110025882721, -0.5959445834159851, -0.25512391328811646, 0.8961724638938904, -0.1550201028585434, 0.6886741518974304, -0.07699324190616608, -1.7447394132614136, 0.496675044298172, 1.335184097290039, 0.7240920066833496, 0.5582977533340454, -0.5362416505813599, -0.27587300539016724, 0.4199862778186798, -0.9532853364944458, 0.3957698941230774, -0.46051761507987976, -0.17600877583026886, -0.35867762565612793, -1.396628975868225, 0.22234521806240082, 0.2608892023563385, 0.7009877562522888, -0.492556095123291, -0.2445405274629593, 1.0545523166656494, -0.8377557992935181, -0.8580816388130188, 0.8520957231521606, -0.36527302861213684, -0.24244679510593414, -0.5587770938873291, -3.322643995285034, 2.1542766094207764, -0.1423836201429367, 0.6730474233627319, 0.5144452452659607, -0.27246490120887756, -0.5654162168502808, -0.6318784952163696, -0.5225636959075928, 1.5662766695022583, -0.18630771338939667, -0.6756625175476074, 0.48276251554489136, -0.5208293199539185, 1.639972448348999, 0.12707367539405823, -0.7003461122512817, 1.5172948837280273, -0.09031711518764496, -1.1659749746322632, 0.20038284361362457, -1.048689603805542, 0.8531045317649841, -1.1131203174591064, -0.9091528654098511, 0.6815208792686462, -1.3710023164749146, -0.09174441546201706, -0.5415506362915039, -0.5178792476654053, 0.052812207490205765, -0.3742581605911255, -0.09263073652982712, -1.0767648220062256, -0.443246066570282, -0.5548824071884155, 0.1945037543773651, 0.9088587164878845, 0.1919676959514618, -7.619929790496826, 0.7198376059532166, -0.050175752490758896, 0.7291997075080872, -0.3476262390613556, -0.1787029504776001, -0.7047009468078613, 0.09571924060583115, 0.298688143491745, -0.0618552640080452, 0.054408397525548935, 0.05580936372280121, -0.29266396164894104, -0.09831727296113968, -0.7101179957389832, -0.050075430423021317, -0.5873821377754211, 0.8673003315925598, -0.06086843088269234, -0.05655047670006752, -1.8972694873809814, -0.7897846698760986, -0.09041660279035568, -0.48100772500038147, -0.21196553111076355, -0.17689566314220428, -0.223073810338974, 0.1177641823887825, -0.061676274985075, 0.7028083205223083, -0.27106618881225586, 1.4534814357757568, -0.8039553761482239, -0.7311875820159912, -0.260770320892334, 0.43403980135917664, 1.4890528917312622, 1.9254274368286133, -0.5740816593170166, -0.3211022913455963, 1.8583612442016602, -0.12293066829442978, -0.3663579523563385, -0.49032163619995117, -0.18513080477714539, 0.3441549837589264, -0.5353265404701233, -0.5125392079353333, 0.2626350224018097, 0.3611593246459961, -0.5722879767417908, 1.455592393875122, 0.23838338255882263, 0.9185275435447693, -0.4382440745830536, -0.7031559348106384, -0.5187853574752808, -0.4450339078903198, 1.0384784936904907, 0.2970045804977417, 0.027807900682091713, -0.20221206545829773, 0.18885843455791473, 1.0283960103988647, -0.120700903236866, 1.0896589756011963, -0.481937438249588, 0.8372220396995544, -0.0793570727109909, -0.9822682738304138, 0.5925730466842651, -1.229735016822815, -0.9924872517585754, 0.4030788838863373, -0.4681885242462158, 0.27754995226860046, 0.4634615182876587, 0.07695483416318893, 0.4103488326072693, 0.5126632452011108, -0.1846117079257965, 0.9052097797393799, -1.2370322942733765, 1.1034733057022095, 0.13193832337856293, -0.6471472978591919, -0.31570473313331604, -0.3397715985774994, -1.3682255744934082, -0.3144749402999878, -0.6764152646064758, -0.6462445259094238, -0.31438395380973816, -0.6050310134887695, -0.00020429849973879755, -0.5028387308120728, 0.3162948191165924, -0.6725756525993347, -1.6678080558776855, -1.0465221405029297, -1.3946326971054077, -0.12847907841205597, -0.10321471095085144, 0.22336673736572266, -0.31134748458862305, -0.7618498802185059, -1.0716750621795654, 0.19247981905937195, 0.06759127974510193, -0.6253524422645569, 0.037345483899116516, 0.18116064369678497, 0.19631849229335785, -0.02681497484445572, 0.6726916432380676, 1.163439154624939, -0.36833131313323975, 1.8458716869354248, -0.9881508946418762, -1.312107801437378, -0.6100605726242065, 0.3273667097091675, 0.557604193687439, 1.3870795965194702, 0.5656198263168335, -0.7036924362182617, -0.7835845351219177, -0.06463942676782608, -0.48930495977401733, -0.5297029614448547, 0.6016663908958435, -0.43435436487197876, 0.03799670189619064, 0.7237237095832825, -0.05781598016619682, -0.7696225643157959, -0.5641237497329712, 0.7716010212898254, 0.6676166653633118, -0.7029640674591064, 0.3757273554801941, -1.4307162761688232, 0.5265553593635559, -0.46262818574905396, 0.5344197154045105, -0.20725104212760925, 0.23143990337848663, -0.17153102159500122, -0.4920656681060791, -0.26400917768478394, 0.06565159559249878, -0.9264315962791443, -0.41631460189819336, 0.8666577935218811, -0.27407148480415344, 0.43638381361961365, -0.9590564966201782, -0.07584824413061142, 0.41567277908325195, 0.2681768238544464, 1.2723560333251953, 0.5179728269577026, -1.0070992708206177, -0.05404562130570412, -0.3618019223213196, -1.39829683303833, -0.5570259690284729, -0.4115825295448303, 0.5163356065750122, 0.1628780961036682, -0.15991932153701782, 0.4490883946418762, 0.4725472331047058, -0.7231377363204956, -0.14246512949466705, -1.2393395900726318, 0.2310132086277008, 0.44013679027557373, -0.83189457654953, -1.3064334392547607, 0.7304543852806091, 0.7393110990524292, -0.09190382808446884, 0.12879042327404022, -0.6978918313980103, -0.09946703165769577, 0.11348850280046463, 1.3350142240524292, -1.1788716316223145, 0.8492639064788818, -0.13949091732501984, -0.10991600900888443, -0.2643246352672577, 0.22009727358818054, -0.4187152683734894, -0.8926671147346497, -0.23737595975399017, -0.2598360478878021, -0.2790043354034424, -0.610586404800415, 0.24503649771213531, 2.3186566829681396, 0.04890923947095871, 0.21892043948173523, 0.3028514087200165, -0.2966407239437103, 0.2919732630252838, 0.19423088431358337, 0.5546736717224121, -0.41031089425086975, 0.7902857661247253, -0.9335723519325256 ]
1,010
0704.1012
Zhiwu Lin
Yan Guo and Zhiwu Lin
Unstable and Stable Galaxy Models
to appear in Comm. Math. Phys
Commun.Math.Phys.280:859,2008
10.1007/s00220-008-0486-5
null
astro-ph gr-qc math.AP
null
To determine the stability and instability of a given steady galaxy configuration is one of the fundamental problems in the Vlasov theory for galaxy dynamics. In this article, we study the stability of isotropic spherical symmetric galaxy models $f_{0}(E)$, for which the distribution function $f_{0}$ depends on the particle energy $E$ only. In the first part of the article, we derive the first sufficient criterion for linear instability of $f_{0}(E):$ $f_{0}(E)$ is linearly unstable if the second-order operator \[ A_{0}\equiv-\Delta+4\pi\int f_{0}^{\prime}(E)\{I-\mathcal{P}\}dv \] has a negative direction, where $\mathcal{P}$ is the projection onto the function space $\{g(E,L)\},$ $L$ being the angular momentum [see the explicit formula (\ref{A0-radial})]. In the second part of the article, we prove that for the important King model, the corresponding $A_{0}$ is positive definite. Such a positivity leads to the nonlinear stability of the King model under all spherically symmetric perturbations.
[ { "created": "Mon, 9 Apr 2007 15:33:42 GMT", "version": "v1" }, { "created": "Wed, 12 Dec 2007 18:50:41 GMT", "version": "v2" } ]
2009-06-23
[ [ "Guo", "Yan", "" ], [ "Lin", "Zhiwu", "" ] ]
07
[ 0.68193119764328, -0.536366879940033, -0.8309392333030701, 0.8009513020515442, -0.2010108083486557, -0.2708583176136017, 1.3664478063583374, 2.049341917037964, -0.18964925408363342, -0.970329225063324, -1.134383201599121, -0.44758039712905884, 0.1360584795475006, -0.7512615323066711, -0.4019176661968231, 0.11672753095626831, -0.0741163045167923, -1.1762317419052124, -0.25180497765541077, 0.6209447383880615, -0.12323709577322006, 1.3591617345809937, -0.08818072080612183, -0.5583240985870361, -0.12722547352313995, -0.5777927041053772, -0.6280214786529541, 0.6837447881698608, -0.4578664302825928, 0.8211920261383057, 0.5601152777671814, 0.33155232667922974, -0.523501455783844, 0.013127611950039864, -0.23256073892116547, 0.552516758441925, 1.421083927154541, -0.5830503106117249, 0.5685172080993652, 0.0005677581648342311, -0.5425859689712524, -0.11766801029443741, -0.49774134159088135, 0.9337376952171326, 0.26982995867729187, -1.2559938430786133, 0.49889615178108215, 0.6286555528640747, 1.1084239482879639, -0.6560143232345581, 1.3495880365371704, 0.4854823350906372, 0.10449803620576859, -0.8210031390190125, 1.062653660774231, -0.8782607913017273, -0.6338568925857544, -0.1385197788476944, 0.21750326454639435, -1.5825921297073364, 0.6221490502357483, -1.12699294090271, 0.04193035885691643, -0.10664212703704834, -0.9177976250648499, -0.15840280055999756, -0.3407299518585205, 0.18027831614017487, 0.11243145167827606, 1.292351245880127, -0.24798448383808136, -0.9324280023574829, -0.6440661549568176, 0.7468723654747009, -0.7345403432846069, -0.13940070569515228, 0.2160176932811737, -0.3615553081035614, -0.491733193397522, 0.07572261244058609, 1.0425325632095337, 0.707093358039856, -0.25358253717422485, -0.572001576423645, -1.2994483709335327, 0.8288757801055908, 0.02009591832756996, -0.15509523451328278, -0.07536547631025314, -0.4136034846305847, -0.4581838846206665, -0.020770426839590073, 1.3522872924804688, -0.17112809419631958, 0.1452939808368683, -0.5129901766777039, -0.24549075961112976, 0.6456974744796753, 0.717199981212616, 1.3967323303222656, 0.0064956727437675, 0.36866286396980286, 0.8068357110023499, -0.18467086553573608, 0.9853385090827942, 0.018661031499505043, -0.12555254995822906, -0.5417415499687195, 0.19313062727451324, 0.5584755539894104, -0.007233345415443182, -1.007641315460205, -0.5588676333427429, 0.09231182187795639, -0.7245795130729675, 0.5355930924415588, 0.7415531277656555, -0.051499251276254654, 0.08196040242910385, -1.8699411153793335, 0.3055189251899719, 0.9006894826889038, 0.2579604387283325, -0.49657368659973145, 0.03285709768533707, -0.04480641335248947, 1.048828363418579, -0.770270824432373, -1.9311312437057495, 0.548662543296814, 1.2426711320877075, 0.3057003915309906, -0.8253788948059082, -0.58064866065979, -0.05580136924982071, 1.0612788200378418, 0.5580151677131653, -0.5973451733589172, 0.2712800204753876, -0.2565529942512512, 0.7360478043556213, 0.0311422236263752, -0.31588372588157654, 0.4750683903694153, -0.16961732506752014, -1.0246055126190186, 1.4544974565505981, -0.326424777507782, 0.5181491374969482, 0.5491941571235657, -0.47983023524284363, -0.21849152445793152, 0.0781293585896492, -0.39385730028152466, -0.19683845341205597, -0.23993729054927826, -0.1417911797761917, 1.7760295867919922, -0.05663502588868141, 2.1628799438476562, -0.03316279500722885, -1.048244833946228, -0.46069732308387756, 0.0063158259727060795, -0.23588034510612488, -0.473789781332016, 1.2293106317520142, 0.06581562012434006, 0.30634045600891113, -0.40178459882736206, -1.184173583984375, -0.20123454928398132, -0.6671322584152222, -0.023352643474936485, 0.38221853971481323, -0.6126306653022766, 0.6197920441627502, 0.46278178691864014, -0.2994423508644104, -0.6311632990837097, 0.09246097505092621, -0.7060577869415283, -0.1330031454563141, 0.6305285692214966, 0.24022287130355835, -0.2205977737903595, 1.0287894010543823, -1.4491775035858154, 0.49487069249153137, -0.09034745395183563, 0.4274281859397888, 0.09749283641576767, -1.1030482053756714, 0.082895927131176, -0.340792715549469, 0.771134614944458, 0.2503707706928253, -0.3946712017059326, -0.5071306228637695, 0.3021447956562042, 0.6336920857429504, 0.0004897249164059758, -0.9992684721946716, 1.6995903253555298, -1.2557976245880127, 0.07534372061491013, 0.13027963042259216, 0.8581448793411255, -0.07996566593647003, -0.3192688226699829, -0.015008438378572464, -0.9952659010887146, 0.6326563954353333, 0.6691824197769165, -0.44719061255455017, 0.46288761496543884, -0.5286791324615479, -0.605110764503479, -0.5879432559013367, 0.06551986187696457, 0.6149316430091858, 0.30782052874565125, 0.46736210584640503, -0.029796075075864792, -0.30012333393096924, 0.3200167417526245, -0.965437650680542, -1.7783669233322144, -0.2595350742340088, 0.0729198306798935, 0.5881474614143372, 0.16935966908931732, -1.0743992328643799, -0.8126882910728455, 0.1578604280948639, 0.1518014669418335, 1.2009059190750122, -0.5153957605361938, 0.39662763476371765, 0.6551805138587952, -0.12639236450195312, 0.09816437214612961, 0.5686555504798889, -1.4804950952529907, 0.6213647723197937, 0.358303964138031, 0.6516373157501221, 0.010852274484932423, 0.5630627870559692, 1.2395480871200562, -0.2869022488594055, -1.1435272693634033, 0.8010415434837341, -1.0642610788345337, 1.056915044784546, -1.18661630153656, -0.363084614276886, -0.8648634552955627, -0.15694119036197662, 0.5846478939056396, -1.4396069049835205, -0.7650203108787537, 0.767586886882782, 0.9719415903091431, -0.4213390350341797, -0.6812694072723389, 0.12425428628921509, -0.5070018172264099, -0.05646320432424545, 0.3164065182209015, 0.6716471910476685, 0.08958116173744202, 0.2730567157268524, 0.17626579105854034, -0.4258004128932953, -0.6655815839767456, 0.24336884915828705, -0.9203004240989685, -0.19533561170101166, -1.101887822151184, -0.7000027298927307, 0.6968883275985718, -0.8952904939651489, 1.578224539756775, 1.6463156938552856, -0.3575262725353241, 0.1990003138780594, 0.6075358986854553, -1.7073568105697632, -0.03827700763940811, -0.08563961088657379, -0.4917162358760834, 0.7909354567527771, 0.32249727845191956, -0.8365455865859985, -0.7377299070358276, 0.5436043739318848, 0.7665634751319885, -0.01711813546717167, -0.17172151803970337, -0.12725073099136353, -0.04704274237155914, -0.15751862525939941, -0.18735790252685547, 0.5728759169578552, -0.674902617931366, -0.48447665572166443, 0.42827102541923523, -0.8001539707183838, 0.1478034406900406, -0.1359865814447403, -0.16941505670547485, 0.7987473607063293, -0.23800483345985413, 1.145733118057251, 0.7742350697517395, -0.5307341814041138, 0.6120598912239075, -0.3304274380207062, -1.2235850095748901, -0.4873240888118744, 0.8231362104415894, -0.7827805876731873, 0.735892117023468, -0.8860576152801514, 0.6340352296829224, -0.05716657266020775, -0.13304048776626587, 0.8825246095657349, -0.4189620018005371, -0.8055685758590698, -0.4025770127773285, 0.9386138319969177, 0.6152048110961914, 0.6658759713172913, -0.5269412398338318, -0.34554988145828247, 0.058189231902360916, -0.1646922528743744, -1.1007074117660522, 0.2667824923992157, 0.6874370574951172, 0.6969076991081238, 0.3702572286128998, -0.16256895661354065, 0.5654590725898743, -0.47507524490356445, -0.08561887592077255, -0.8362401723861694, -0.05767199024558067, 0.02436470054090023, 0.7654797434806824, -0.4560568332672119, -0.9353618621826172, 0.07515931129455566, -0.35273656249046326, 0.4437531530857086, 0.22063928842544556, -0.40642768144607544, 0.5791056156158447, -1.6793291568756104, 1.9589085578918457, -0.2393898367881775, -0.8011571168899536, 1.4294207096099854, -1.4389280080795288, -0.10529504716396332, -1.020651936531067, 0.26707369089126587, -1.4933780431747437, 0.023274166509509087, 0.0935465469956398, -0.47120288014411926, 0.5522095561027527, -0.9868596196174622, 0.30506476759910583, -0.5252550840377808, 0.05403687804937363, 0.583678662776947, 0.29482501745224, -0.34760159254074097, 1.19992196559906, -0.21455621719360352, 0.21395118534564972, 0.3269328773021698, 0.6430198550224304, 0.8491336703300476, -0.16768167912960052, -0.39599716663360596, 0.4175971746444702, -0.2510981559753418, -0.4335438907146454, 0.10562825202941895, -0.5116694569587708, 0.14120516180992126, -0.03807304799556732, -0.09600032866001129, -0.5981147885322571, 1.134421944618225, 0.32492735981941223, -0.06385323405265808, -0.907347559928894, -0.023023696616292, -0.9092627763748169, 0.4126909375190735, -0.23096470534801483, -0.5595327615737915, 0.19686627388000488, 1.1964646577835083, 0.7256960272789001, -1.346695899963379, 0.3050166368484497, 0.3047195374965668, 0.2371004968881607, -1.4973605871200562, 0.35463735461235046, -0.152822807431221, -0.9608640670776367, 0.22350488603115082, -0.23830311000347137, 0.8188923001289368, -0.3885936439037323, -0.6012373566627502, -0.23718978464603424, 0.12357544898986816, -0.5841332674026489, 0.3545149862766266, 0.4197538495063782, -1.6324881315231323, 0.35491225123405457, 0.2513001561164856, -0.16732017695903778, -0.2851777672767639, 0.12182026356458664, 0.6871885061264038, -1.5356535911560059, 0.2613811492919922, -0.7473723292350769, -0.39343735575675964, 0.26051241159439087, -0.9130778312683105, 0.21936069428920746, -0.04081176966428757, -1.0783884525299072, 1.7095105648040771, -0.16756804287433624, 0.027730006724596024, 1.0526096820831299, 0.725168764591217, 0.4662066102027893, 0.29132363200187683, 0.608249306678772, -0.57133948802948, 0.4899589717388153, 0.2215583473443985, -0.6356552839279175, 0.38609641790390015, -0.05507069453597069, -0.14305387437343597, -0.5963246822357178, -0.5148676037788391, -0.11326713860034943, 0.5179986953735352, -0.17597582936286926, -0.4798697531223297, -0.4385816752910614, -0.013213228434324265, -0.6205270886421204, 0.32194793224334717, 1.0475974082946777, 1.713186264038086, 0.19156821072101593, -1.6807806491851807, -0.42699167132377625, 0.06454917043447495, 0.07593740522861481, 1.0761011838912964, -2.197153091430664, 0.910692572593689, 0.4710874557495117, -0.5616940259933472, 0.6832440495491028, 0.8854095935821533, -0.05554354935884476, -0.07124000042676926, 0.44832277297973633, -0.3226689398288727, 1.0489352941513062, -0.7672756314277649, -0.3677597641944885, -0.6894130706787109, 0.3569834530353546, 0.48593857884407043, -0.09808957576751709, -1.4573527574539185, -0.14916680753231049, -0.16943371295928955, -0.31850898265838623, -0.46668654680252075, -0.2538200318813324, 1.163862705230713, 1.1033554077148438, -0.12515009939670563, 0.17813460528850555, -0.30882489681243896, 0.23722311854362488, 0.0655442625284195, -0.5626936554908752, 0.44556137919425964, 0.8081584572792053, 0.11133033782243729, -0.2735373377799988, 1.0018353462219238, 0.8525556325912476, -0.23959565162658691, 0.25032955408096313, -0.28691497445106506, -3.5363428592681885, -1.915540099143982, -0.7347785830497742, 0.42594823241233826, -0.6407479643821716, -0.2746414542198181, 0.14031124114990234, 0.13559168577194214, 0.36215031147003174, 0.15964719653129578, 0.017816800624132156, -0.8955520391464233, 0.0805322527885437, -0.31524723768234253, 1.4093496799468994, -1.3715388774871826, 0.32916259765625, 0.17599822580814362, 0.02757171168923378, -0.2076636701822281, -0.22706393897533417, -0.41091859340667725, -0.42787888646125793, -0.26190444827079773, -0.5090137720108032, 1.4903597831726074, -0.269321471452713, 1.052636981010437, -0.1968175619840622, 0.7789297699928284, 0.11645850539207458, -0.4555000960826874, -0.9650097489356995, -1.5379664897918701, 0.1383262574672699, 0.8846085667610168, 0.005106376949697733, -0.7456955909729004, -0.43292295932769775, -7.405609130859375, -0.04075315594673157, -0.0994812548160553, -0.6665639281272888, 0.2522934377193451, -0.7572595477104187, -0.9796123504638672, 0.3036842942237854, -0.21731044352054596, 1.2168477773666382, 0.19248086214065552, -0.011596624739468098, -0.370136559009552, -0.2414236217737198, 0.20022283494472504, -0.8231668472290039, -0.4501875042915344, -0.17879997193813324, -0.23207244277000427, 2.313516855239868, 0.1682373583316803, 0.33404120802879333, 0.5428041219711304, -0.12530042231082916, -1.1216323375701904, -0.765694797039032, -0.6121219992637634, 0.4292866587638855, 0.7836067080497742, -0.2551139295101166, 0.06054307520389557, 1.1918667554855347, -0.32032519578933716, 0.6293870210647583, -0.6650235652923584, -0.35443004965782166, -0.3625757694244385, 1.0338211059570312, 0.27713045477867126, -0.5013030171394348, -0.09445453435182571, 0.25022295117378235, -1.4415547847747803, 1.7648439407348633, -0.4266647696495056, -0.5121732354164124, -0.10750378668308258, 0.6680365204811096, 0.8862801194190979, 0.5114140510559082, -1.6823172569274902, -0.49275603890419006, -0.02391931414604187, 0.44817131757736206, -0.5911701917648315, 0.7427960634231567, -0.7161070108413696, -0.705955445766449, -0.3081861436367035, -0.12692847847938538, 0.5283847451210022, 0.162907212972641, -0.0006635870668105781, 1.0144871473312378, -0.7516173124313354, 1.4976295232772827, 0.3785502314567566, -0.26741689443588257, 0.13066953420639038, -1.4294332265853882, -0.6536950469017029, -0.13359947502613068, -1.1651118993759155, -0.04123176261782646, -0.6455463767051697, -0.591332733631134, -1.354156255722046, 0.6519029140472412, 0.17039568722248077, 1.3710241317749023, 0.3089534342288971, -1.3718881607055664, -0.8195139765739441, 0.030847515910863876, 1.1016360521316528, 0.2885761559009552, -0.11285819858312607, 1.1796998977661133, 0.3611111640930176, -0.6898926496505737, -0.5255800485610962, 0.7227256894111633, 0.585028886795044, -0.9364966750144958, -1.7750415802001953, -0.37251174449920654, -0.7286376953125, -0.55965656042099, -0.9980372190475464, -0.767756462097168, 0.2838573455810547, -0.012754025869071484, 1.2265652418136597, 0.5053714513778687, -0.014588500373065472, 0.4280887842178345, -1.9817373752593994, 0.6600750684738159, -0.016171876341104507, -0.4027409553527832, -0.15735532343387604, 0.3467644155025482, 0.40470629930496216, -0.7954238653182983, -0.5299769639968872, -1.1501578092575073, 0.07448355853557587, 1.3231837749481201, -0.1306070238351822, -0.6432604789733887, 0.8910078406333923, -0.48588666319847107, 1.3339192867279053, 0.6652166247367859, 0.6449868083000183, -0.7880837321281433, -1.144974946975708, 0.6930352449417114, -0.5417313575744629, -0.2382286787033081, -1.1943624019622803, 0.20694589614868164, -0.8355858325958252, -0.11814220994710922, -1.0561336278915405, -0.7483483552932739, 1.069788932800293, 2.3140690326690674, -0.15651150047779083, 0.10842972993850708, 0.35298916697502136, -0.8148990869522095, 1.3118314743041992, -0.9181618094444275, 0.8847230672836304, -0.388449490070343, 0.3046846389770508, -0.37301361560821533, -0.3717004656791687, -0.4421638548374176, 1.317119836807251, 0.40801239013671875, 0.02438567951321602, 1.1840702295303345, -1.0402997732162476, -0.862404465675354, 1.141160249710083, -1.112420678138733, -0.07564710825681686, -1.1447454690933228, 0.2967783212661743, -0.36037343740463257, -0.32958754897117615, -0.7174044251441956, -1.0137394666671753, -0.17561371624469757, 0.24297524988651276, 0.14663515985012054, -0.9304423332214355, -0.6384490728378296, -0.3698312044143677, 0.8548904061317444, 0.7518742084503174, -0.5428523421287537, -0.4558471739292145, -0.38527464866638184, -1.5305486917495728, -0.0002388721622992307, -0.5472225546836853, -0.4714321196079254, 0.46332597732543945, -1.2316803932189941, 0.15769048035144806, 0.38563457131385803, 0.3757854700088501, 0.7411481738090515, -1.4399316310882568, 0.6867623329162598, 1.4505263566970825, 1.159817099571228, 0.30291858315467834, 0.8524036407470703, -0.11095943301916122, -0.25834181904792786, -0.545879065990448, -0.38876399397850037, 0.34254488348960876, -1.427541732788086, -0.7123966217041016, -1.2237262725830078, 1.1885849237442017, 1.4855737686157227, -0.05168375372886658, 0.4093756377696991, -0.3259201645851135, -0.5161240100860596, -1.2341599464416504, -0.1331436038017273, -0.83103346824646, -0.2257717251777649, 0.1599079966545105, 0.24333390593528748 ]
1,011
0704.1013
Yujiro Kawamata
Yujiro Kawamata
Flops connect minimal models
5 pages
null
null
null
math.AG
null
A remark on a paper by Birkar-Cascini-Hacon-McKernan.
[ { "created": "Sun, 8 Apr 2007 04:02:07 GMT", "version": "v1" } ]
2007-05-23
[ [ "Kawamata", "Yujiro", "" ] ]
07
[ 0.2965754270553589, -0.3013875484466553, 0.19864723086357117, -0.45244476199150085, -1.0250129699707031, -0.4946261942386627, 0.5107977986335754, 0.7312088012695312, -0.7392915487289429, -1.2234023809432983, -0.37240633368492126, 1.0540273189544678, 0.3697958290576935, -1.453991413116455, -0.40165820717811584, 0.5442796349525452, 1.0729122161865234, 0.3321855962276459, -0.7548105120658875, -0.22902366518974304, 0.05685250833630562, -0.03535398095846176, -0.40359318256378174, -0.7661722302436829, -0.36255916953086853, 0.2071061134338379, -0.6765504479408264, 0.9229208827018738, -0.2018132209777832, -0.08794165402650833, 1.5748090744018555, 0.6613200306892395, -0.7306446433067322, 0.020884355530142784, 0.22898729145526886, -0.48023512959480286, 0.4070316553115845, 0.12148605287075043, -0.28873032331466675, 0.4356801211833954, 1.0201042890548706, -0.16275028884410858, -1.0729752779006958, 0.3704083263874054, -1.3113343715667725, -0.1854565590620041, -0.670836329460144, -0.12766632437705994, 0.17312096059322357, 1.4012770652770996, 0.09168408066034317, -0.8219790458679199, 0.5205599665641785, 0.1773843765258789, 0.2789301872253418, 0.597377598285675, -0.20650726556777954, -0.06234239414334297, 0.8814608454704285, 0.3123890459537506, 0.14658796787261963, -0.047190066426992416, 0.735056459903717, 0.7375314831733704, -0.6790135502815247, 0.13992224633693695, -0.8018227219581604, 1.7438371181488037, 0.14641253650188446, -0.04618313908576965, 0.5100298523902893, -0.663029670715332, 0.5049664974212646, -0.48069992661476135, -0.3336098790168762, 0.7188098430633545, -0.2857096493244171, -0.018978269770741463, 1.058518648147583, -0.6944937705993652, 0.1324237585067749, 1.0516386032104492, -0.18345671892166138, 0.9578527212142944, 0.4558429419994354, 0.6524298787117004, -0.25070425868034363, -0.21567726135253906, -1.0847039222717285, 0.21578837931156158, 0.808388888835907, -0.13244742155075073, 0.10506796836853027, 0.35101374983787537, -0.563848078250885, -1.142288327217102, -0.3514186143875122, -0.01724483259022236, 0.4272802174091339, 0.7751166224479675, -0.6109917163848877, -0.35824596881866455, 0.2158784568309784, -0.19493144750595093, -0.23341742157936096, -0.522097647190094, 0.7722283601760864, 0.6151683926582336, -0.9497719407081604, -0.10638785362243652, 0.16789540648460388, -0.4596804976463318, -0.11285971850156784, 1.187280297279358, -0.8034722208976746, 0.1618955284357071, -0.8074401617050171, -0.2312561422586441, 1.5042351484298706, 0.12669715285301208, -0.2876117527484894, 0.23149976134300232, 0.38707661628723145, -0.37283575534820557, -0.6560549736022949, 1.0249698162078857, 0.10222415626049042, -0.9209343194961548, -0.3801993727684021, -0.9117624163627625, -1.4632097482681274, -0.2743183970451355, 0.13908225297927856, -0.8815122246742249, 0.5318192839622498, 0.8493547439575195, -0.81400465965271, -0.27796173095703125, 0.026216011494398117, 0.14169780910015106, 0.592349112033844, -0.6884680390357971, 0.2502710819244385, -0.06287377327680588, 0.4973076283931732, -0.14650528132915497, 0.2286730259656906, 0.7528636455535889, -0.006915046367794275, 0.7496897578239441, -0.3220173716545105, -0.35818612575531006, -0.8574002385139465, 0.03903115540742874, -0.5499552488327026, 0.6555428504943848, -0.45750781893730164, 0.2137041687965393, -1.0000481605529785, 0.21350103616714478, 0.8258171081542969, -0.3379041850566864, -0.44519490003585815, -0.6973675489425659, -0.1361609250307083, -0.2026703655719757, -0.18440158665180206, -1.0820517539978027, 0.6007505059242249, -0.3478491008281708, -0.2297111600637436, 0.08868179470300674, 1.2922859191894531, -0.1939706653356552, -0.28400719165802, 0.9943051934242249, 0.6854498982429504, -0.00011702714255079627, 0.6705260872840881, -0.434270977973938, -1.4446260929107666, -0.13677874207496643, 0.08600576967000961, -0.002571388613432646, 0.8062795400619507, -0.7790988683700562, -0.0667065978050232, 1.0921521186828613, 0.41613680124282837, -0.07841799408197403, -0.24410870671272278, -1.1607757806777954, -0.8983170390129089, -0.6456384658813477, 0.39882832765579224, 1.1292468309402466, 0.1449097990989685, -0.49068397283554077, -0.3652143180370331, -0.4113597273826599, -0.4278944432735443, 0.1048329770565033, -0.45228949189186096, 0.6903477311134338, -1.9446250200271606, 0.18772345781326294, 0.35649755597114563, -0.45438238978385925, -0.45403343439102173, -0.530232846736908, -0.2560332715511322, 0.6143417954444885, 0.3825228214263916, 0.12390583008527756, 2.1115458011627197, -0.6666499972343445, 0.6399138569831848, 0.023272506892681122, -0.3161391019821167, 2.1605474948883057, 0.4488721787929535, 0.6424002051353455, -0.17692968249320984, -0.6667794585227966, 0.13885445892810822, -0.44965699315071106, 0.8121218085289001, -0.6816749572753906, -0.20483197271823883, -0.08260459452867508, 1.071589708328247, -0.5936652421951294, 0.26019707322120667, -0.9212436079978943, 0.2697330713272095, 0.13581301271915436, -0.24537992477416992, -0.9239909052848816, 0.056341398507356644, 0.38359832763671875, -0.2331295907497406, -0.4233764111995697, -0.7485503554344177, -0.4746648371219635, -0.49785345792770386, 0.33040091395378113, 0.2267621010541916, -0.34037452936172485, -0.8379243612289429, -0.30854547023773193, 0.636273205280304, -0.48477211594581604, -0.7436779737472534, 0.35919222235679626, 1.3917311429977417, 0.15447615087032318, 0.576030969619751, -0.040630683302879333, -1.2484084367752075, -0.1715097427368164, -0.3616606295108795, -0.8948498368263245, 0.2158251851797104, 0.49371591210365295, -1.5123966932296753, 0.30885884165763855, 0.7127997875213623, -0.142836332321167, 1.0759159326553345, -1.0628198385238647, 0.8169599175453186, -0.4013085663318634, -0.2774389982223511, 0.754372775554657, -1.3747422695159912, 0.4040749967098236, 0.15389975905418396, -1.3671295642852783, 0.1325863152742386, -1.3141177892684937, 0.4156810939311981, 0.9585013389587402, 0.09957106411457062, 0.6519103050231934, -0.21709980070590973, -0.8725252151489258, 0.48619920015335083, 0.35418668389320374, -0.2187749147415161, -0.5551310181617737, -0.42659738659858704, -0.09222341328859329, 0.23837502300739288, 1.2451387643814087, -1.7412874698638916, -1.1508086919784546, -0.7015945911407471, -1.625646948814392, -0.05021686106920242, 1.2070794105529785, -0.491924524307251, 0.6826385855674744, -0.3790721893310547, 0.7387926578521729, 1.1925573348999023, -0.9475622773170471, -1.1067285537719727, -1.9426199197769165, 0.9939597845077515, 0.6544790863990784, 1.0507334470748901, -0.672333836555481, -0.24288570880889893, -0.6657775044441223, -0.1826828271150589, 0.3096686899662018, 1.2579587697982788, 0.3430718779563904, 0.19131913781166077, -0.3999999761581421, -0.9388719201087952, -1.0173752307891846, 1.5584074258804321, 0.8338865637779236, 0.3557712435722351, -1.0294973850250244, -0.7901764512062073, 0.21341487765312195, 0.7961251735687256, 0.4041939079761505, -1.0827919244766235, -0.2999298870563507, 0.33164671063423157, -0.23793573677539825, -0.6175196170806885, -0.3840465247631073, -0.6899616718292236, -1.5613024234771729, -0.2348208725452423, -0.6368744373321533, 0.6845960021018982, -0.8834902048110962, -0.09659688174724579, -0.2735377252101898, -0.3999432623386383, 0.11259389668703079, -0.14891549944877625, -0.5080435872077942, -0.7784443497657776, 1.2810133695602417, 1.1855891942977905, -0.12099932879209518, -0.9657108783721924, 0.44289761781692505, 0.6643600463867188, -0.7310183644294739, 0.8411749601364136, 0.10682877153158188, 0.3532322943210602, 0.011051006615161896, 0.21974189579486847, 0.4604433476924896, -0.31621235609054565, -0.2889747619628906, 0.731142520904541, 0.2443980872631073, 0.07226063311100006, 0.07751443982124329, 0.7022886872291565, -0.5305232405662537, 0.07836554199457169, -0.09257712215185165, 0.1509939730167389, 0.24249891936779022, -0.10232117772102356, -0.5915095806121826, -1.326462984085083, 0.8998517990112305, -0.24637119472026825, 0.22622045874595642, 0.3024083077907562, 0.45078739523887634, 0.2661572992801666, 0.2946564257144928, -0.42306604981422424, 0.9815914630889893, 1.5130412578582764, 0.508249819278717, 0.22749760746955872, 0.23484380543231964, 0.5587000250816345, 0.7353095412254333, 0.3044590950012207, 0.11207645386457443, 0.06323055177927017, -0.6533043384552002, 0.21929672360420227, -0.6894441246986389, 0.2522985637187958, 0.8702960014343262, 0.27921348810195923, -0.23973268270492554, 0.12691017985343933, -1.6204906702041626, 0.045089516788721085, -0.00895649753510952, -0.803063690662384, 0.42859897017478943, -0.15836232900619507, -0.1856512427330017, -0.7404215335845947, 0.5251080989837646, -1.0894008874893188, -0.16549000144004822, -0.04133640229701996, -0.57773357629776, -0.693630039691925, -0.01089832279831171, 0.341639906167984, -2.088653326034546, -0.08602068573236465, 0.014168514870107174, 0.008376844227313995, 0.5540539026260376, -0.3609401285648346, -0.90028977394104, -0.14278516173362732, 0.21705809235572815, 0.15678799152374268, -0.6303399801254272, -0.2619427740573883, 0.06404738873243332, 0.689631998538971, -0.25887319445610046, 0.2860918939113617, 0.21489191055297852, -0.9698439240455627, -0.0029007098637521267, -0.2741626501083374, 0.270975261926651, -0.5801522731781006, -0.056057728826999664, -0.4630710780620575, 0.4045580327510834, -0.45235878229141235, 0.09058118611574173, -0.16631656885147095, 1.6270955801010132, 0.8641993403434753, -0.5833393335342407, -0.11849401146173477, -0.40491819381713867, 0.9565919637680054, 1.7566310167312622, -0.03956890478730202, -1.0968667268753052, 0.6300461888313293, 0.6519607901573181, 0.35118943452835083, -0.5526806116104126, 0.21525077521800995, -0.26527583599090576, -0.38917627930641174, 0.32133135199546814, -0.24347011744976044, -0.656264066696167, 0.037545498460531235, 1.0102076530456543, 0.11038567870855331, 0.07955194264650345, -0.2873084545135498, -0.3016057014465332, -0.19601772725582123, -0.4982164204120636, 0.5505347847938538, -0.7150148749351501, 0.3396369218826294, 0.10904497653245926, 0.01410269271582365, -0.09569288045167923, -0.3996431231498718, -0.27762284874916077, 0.16721899807453156, -0.48438405990600586, 0.32398709654808044, -0.797373354434967, -0.1540687084197998, -0.20233698189258575, 0.462185800075531, 0.3762034773826599, -1.1124187707901, 1.1346534490585327, -0.01637391373515129, -0.9068294167518616, -1.300629734992981, 0.869407057762146, -0.5156704187393188, 0.2207280397415161, -0.45386216044425964, -0.12383365631103516, 0.554240345954895, 0.7461389899253845, -0.3571583032608032, -0.7776971459388733, -0.4940408170223236, 0.294220894575119, -0.29095879197120667, 0.23455561697483063, 0.07353967428207397, 0.5894368290901184, -0.338722825050354, 0.48044314980506897, 0.4142187833786011, -0.18941722810268402, 0.5169041752815247, 0.31898587942123413, -2.2335405349731445, -2.8127031326293945, 0.006323864217847586, 0.2505894601345062, -0.4601893424987793, -1.1895644664764404, 0.14682739973068237, -1.404608964920044, -0.5292045474052429, -0.7092563509941101, -0.45552968978881836, 1.1174962520599365, -0.7187705039978027, 0.0024011419154703617, -0.3032119572162628, 0.4132819175720215, 0.3754222095012665, 0.44984930753707886, -0.009988772682845592, 0.35560300946235657, -1.0387417078018188, 0.72504723072052, -0.3775510787963867, -0.19335314631462097, -0.0766511932015419, -0.14712737500667572, 0.6272256970405579, -0.44828855991363525, 0.2298317700624466, 0.3705631494522095, -0.0373159758746624, 0.512146532535553, -0.7218703031539917, -0.5017334818840027, -1.3286237716674805, -0.3886260688304901, 0.07880465686321259, 0.1217278465628624, -1.5390665531158447, 0.9217514395713806, -9.762598991394043, 0.20526550710201263, 0.8523695468902588, 0.039407942444086075, 0.31688207387924194, -0.6483227610588074, -0.8799781203269958, -0.03230573609471321, -1.1398454904556274, 0.4164630174636841, -0.38588201999664307, 0.21317511796951294, -0.321139931678772, 0.3835352957248688, 1.3005203008651733, -0.021327124908566475, 0.6791613698005676, 0.07450275123119354, -0.2892371714115143, -0.3140811026096344, -0.9477431774139404, 0.6208857297897339, 1.3128210306167603, -0.5190752744674683, 0.7134831547737122, -0.5933149456977844, 0.1860664188861847, -0.3975951075553894, 1.354220986366272, -0.39900076389312744, 0.004354152362793684, -0.829518735408783, -0.04446922242641449, 0.8441340923309326, 0.1363363415002823, -0.5243292450904846, -0.05735616758465767, -0.3128741383552551, -1.383653998374939, 0.6104825735092163, 0.7345884442329407, -0.03266242891550064, 0.08331608772277832, 0.15708498656749725, -0.5996944904327393, 0.12920968234539032, -0.37727510929107666, 0.07791804522275925, 0.5838310718536377, -0.8867323994636536, -1.1893038749694824, 0.9887392520904541, 0.6585614085197449, 0.9008175730705261, 1.809482455253601, -0.19822509586811066, -0.07653374969959259, -0.26327767968177795, -0.7762729525566101, -1.490272045135498, -0.9961394667625427, -0.32269883155822754, 0.9007980227470398, 0.3681058883666992, -0.3344384729862213, 1.494801640510559, 0.4118744134902954, -0.3169342279434204, -0.41130369901657104, 0.3702959418296814, 0.0821085050702095, -0.8685098886489868, -0.3471648395061493, -0.7264779806137085, -1.0716931819915771, -0.21354711055755615, -1.182512640953064, 1.3058842420578003, -0.3249656856060028, 0.12498274445533752, 0.27567145228385925, 0.24141497910022736, -0.4900727868080139, 0.9429996609687805, -0.11739890277385712, -0.5347667932510376, -0.3802703320980072, -1.0796455144882202, 0.5562218427658081, -0.6464930772781372, -0.12192898988723755, 0.38628602027893066, 0.4734717011451721, 0.2151002138853073, -0.07774444669485092, 0.706413984298706, 0.08608383685350418, 0.20393741130828857, -0.13647636771202087, 1.0419520139694214, 0.32629168033599854, 0.6055989861488342, 2.3021278381347656, 0.8841310143470764, 1.2853339910507202, -0.4215938448905945, -0.6048529148101807, 0.1231737732887268, -0.3701048195362091, -0.5078951716423035, -0.739707887172699, 0.4058888256549835, 1.162583589553833, -1.0735070705413818, -0.02099190093576908, 0.07774380594491959, -0.3298383355140686, -1.0131957530975342, -0.2555185556411743, -0.6736289262771606, 0.30988502502441406, -0.3854045569896698, -0.6081424355506897, 1.0005041360855103, 0.7576389908790588, 0.06805559247732162, -0.4067741334438324, -0.9259852766990662, -0.3178422152996063, -0.3253405690193176, -0.9291701316833496, -0.34408262372016907, 0.4386303722858429, 0.7707798480987549, 0.1964697390794754, -0.2781773507595062, -0.3677367568016052, -0.5613234043121338, 0.5141631960868835, 0.38156577944755554, -0.23778830468654633, 0.4075121283531189, -0.5442797541618347, 0.716988205909729, -0.5919709801673889, 0.14091016352176666, -1.1264551877975464, 0.42464882135391235, -0.23825445771217346, -0.32102689146995544, -0.6877249479293823, 0.1737242341041565, 0.7487624287605286, -0.6295230984687805, -0.8734623193740845, -0.10122820734977722, 0.6818788051605225, -0.7201647162437439, -0.0930819883942604, 0.2098580151796341, -0.4082033932209015, -0.29687532782554626, -0.2605784237384796, 0.16032247245311737, 0.49112632870674133, 0.5377413630485535, -0.7576086521148682, -0.15671701729297638, 0.39692145586013794, -0.5464036464691162, 0.08764483779668808, 0.327108234167099, 0.6422073841094971, 0.6673842072486877, -0.3481164872646332, -0.32659274339675903, -0.7187000513076782, -0.663472056388855, 0.8319637179374695, -1.134354829788208, -0.22803474962711334, -0.0035349130630493164, -0.0876135602593422, -0.6738985180854797, -0.6222987174987793, 1.2986948490142822, -1.6113348007202148, 1.1276276111602783, 1.5773192644119263, 1.301236867904663, -0.06251499801874161, -0.5142168998718262, -1.5911446809768677, 0.17329834401607513, 0.1561110019683838, -0.12432596832513809, -0.3837181031703949, 0.3816570043563843, -0.6189706325531006, -0.8902153968811035, 0.28976041078567505, 0.6873250603675842, 0.21628721058368683, 1.1060473918914795, 0.5966387987136841, 0.47576117515563965, 0.13275626301765442, -0.20636261999607086, 1.5163702964782715, -1.0966938734054565, -0.5917670726776123, -0.0053178174421191216 ]
1,012
0704.1014
Yujiro Kawamata
Yujiro Kawamata
A product formula for volumes of varieties
2 pages
null
null
null
math.AG
null
A simple application of the semipositivity.
[ { "created": "Sun, 8 Apr 2007 04:07:03 GMT", "version": "v1" } ]
2007-05-23
[ [ "Kawamata", "Yujiro", "" ] ]
07
[ 1.036658525466919, 0.11616691946983337, 0.3664621114730835, -0.003621778916567564, -0.20555543899536133, -0.13131175935268402, 0.6447957754135132, -0.1081717237830162, 0.35958805680274963, -0.9814754128456116, -0.13944828510284424, -0.5647791624069214, 0.39166685938835144, -0.9335653781890869, -0.281939297914505, -1.1380176544189453, 1.1333552598953247, -0.5607009530067444, -0.11589713394641876, -0.553528904914856, -0.41416409611701965, -1.0190019607543945, -0.23389336466789246, -0.07345817983150482, -0.2513245642185211, -0.33380764722824097, -0.5726011395454407, -0.19223332405090332, -0.38839632272720337, 0.565434455871582, 0.9987689852714539, 0.3290727436542511, -0.49791255593299866, 0.4302234947681427, 1.0985684394836426, 0.9309728741645813, -0.5631110668182373, -0.7998271584510803, -0.7684690952301025, -0.5494222044944763, -0.12646737694740295, -0.5645685791969299, -0.15410707890987396, -0.7200748920440674, -0.4580240249633789, 0.2621065378189087, 0.1268661618232727, 0.5577268004417419, -0.751502513885498, -0.09401614218950272, -0.052292048931121826, -0.2862672805786133, 0.05789213627576828, -0.7916079759597778, 1.5480296611785889, 0.5470302104949951, -0.9216367602348328, -0.43412497639656067, -0.3079334497451782, -0.581668496131897, -0.02668866515159607, 0.23320215940475464, 0.48500069975852966, 0.1451304405927658, -0.7229707837104797, 0.6493679285049438, 0.38890591263771057, -0.5729447603225708, -0.4633592367172241, -0.33904117345809937, -0.22614310681819916, -0.2993677258491516, -0.2312074601650238, -0.0176670104265213, -0.8215537667274475, -0.16747169196605682, 0.7956286668777466, -0.24641697108745575, 0.07812200486660004, -1.3201967477798462, 1.0595088005065918, 0.18634551763534546, -0.6064555048942566, 0.2152913212776184, -0.8804990649223328, 0.8726180195808411, 1.1677353382110596, -0.3665032982826233, 0.3202775716781616, 1.293282151222229, -0.16083544492721558, -0.4213312566280365, -0.38803255558013916, -0.29418596625328064, -0.8401164412498474, -0.05346100032329559, -1.58304762840271, -1.059184193611145, 0.008253752253949642, 0.14251793920993805, 0.6165509819984436, -0.05516335368156433, -0.466837078332901, 0.8008121252059937, -0.5032670497894287, 0.7029840350151062, 0.32334911823272705, -1.852752923965454, 0.3288370668888092, 0.3058706820011139, 0.8220650553703308, -0.710873544216156, 0.2760882079601288, 2.0096118450164795, -1.1081913709640503, 1.244102954864502, -0.14696456491947174, -0.6951779127120972, 0.8919118046760559, -0.39827945828437805, 0.6983205080032349, -0.47545263171195984, -1.4173471927642822, -0.5420183539390564, 0.2543732523918152, 0.3507831394672394, 0.6430497169494629, -0.5207912921905518, -0.04116170108318329, 0.18041090667247772, -0.7280254364013672, -0.24271543323993683, -0.4981827735900879, -0.7680114507675171, -0.8991188406944275, -0.5020557045936584, -0.7030441761016846, -0.3439306914806366, -0.5441723465919495, -0.43943163752555847, 1.0295238494873047, -0.22374308109283447, 0.17287573218345642, -0.4369310736656189, 0.28082892298698425, -0.391177773475647, -0.11775834113359451, -1.132964015007019, -0.8847025632858276, 0.4299376606941223, -0.43583783507347107, -0.16595441102981567, 0.2973203957080841, 0.1089782863855362, 0.41482746601104736, 0.05667376518249512, 0.2791067361831665, -0.059207312762737274, -1.0854231119155884, 0.3413270115852356, 0.40377077460289, -0.8825863003730774, -1.305060863494873, 0.03682985529303551, -0.27698078751564026, -0.5550665855407715, -0.5422738790512085, -0.6929642558097839, 1.3143131732940674, 0.4341792166233063, 0.17193369567394257, -0.5265573263168335, -0.03722851723432541, -0.6625025868415833, 0.5262321829795837, 0.9296786189079285, 0.16439294815063477, -0.18614517152309418, 0.6501497030258179, 0.7787138223648071, -0.2652687430381775, 0.7052450180053711, -0.18251097202301025, -0.739511251449585, 0.11498647183179855, -1.1847548484802246, -0.3347835838794708, -0.4620361328125, 0.5760746002197266, -0.4899458885192871, -1.515946626663208, -0.4780200123786926, -0.7323083877563477, 0.3719082474708557, -0.456994891166687, -1.1253582239151, -0.055079784244298935, 1.8444405794143677, -1.096021056175232, 0.5463318228721619, -0.6707602739334106, 0.44218239188194275, 0.32261431217193604, 1.3457872867584229, -0.9553933143615723, 0.3175043761730194, -0.7207802534103394, -0.4609616994857788, -0.4792012870311737, -0.2749142646789551, 0.110604427754879, 0.5694772005081177, -1.0158743858337402, -0.5021384358406067, 0.9246537089347839, -1.1165626049041748, -0.7802953720092773, 0.6637454628944397, 0.4548429548740387, 1.0027244091033936, 0.41020646691322327, 0.8127769827842712, -0.0902290940284729, -0.6072884202003479, 0.7131837606430054, 0.5666480660438538, 0.569997251033783, 0.9507343769073486, -0.5731897950172424, 0.019680948927998543, 0.6231749057769775, -0.30178678035736084, 0.42697450518608093, -0.3122532367706299, 0.5034483075141907, -0.2024104744195938, -1.395245909690857, -0.334290474653244, 0.5914409756660461, 1.0870094299316406, -0.7546897530555725, -0.5666013360023499, -0.1771390289068222, -0.6155306100845337, -0.2566211521625519, 0.4258221685886383, -0.1353677660226822, -0.6424811482429504, -0.930741548538208, 0.5241847038269043, 0.2425289899110794, -0.5742889046669006, -0.36815473437309265, 0.2695051431655884, 0.07666295766830444, 0.7144254446029663, 0.0849035456776619, 0.2764064371585846, -0.3631734549999237, -0.9818834066390991, 0.38055241107940674, 0.16661463677883148, -0.6432263851165771, 1.1583775281906128, -0.6109219193458557, -0.6140995621681213, 0.8297420144081116, 0.1512952297925949, -0.21944546699523926, -1.4023677110671997, -0.033054422587156296, 0.9359279870986938, 0.1884462833404541, 1.3241615295410156, -0.7287110686302185, 0.4349759519100189, -0.8938700556755066, -1.8266798257827759, 0.2793378233909607, -0.5443578958511353, 0.644293487071991, -0.03585469350218773, -0.23000073432922363, -0.4427299499511719, 0.9102761149406433, -0.5709511041641235, 0.09444906562566757, 0.47762852907180786, 0.011611809954047203, -0.4283190369606018, 0.23982922732830048, -0.03372552990913391, 0.6820318102836609, 0.5908476710319519, -1.2238627672195435, -0.3109533190727234, -1.1299285888671875, 0.15081608295440674, 0.05461030825972557, -0.6496731042861938, -0.4941743016242981, 0.4914829134941101, -1.0754210948944092, -0.1085040345788002, 0.7679646015167236, -0.08885712176561356, 0.9419212341308594, 0.06918918341398239, -0.5451429486274719, -0.6485248804092407, 0.08956766128540039, -0.1986963450908661, -0.5721614956855774, -1.3672655820846558, 0.6282693147659302, -1.0261749029159546, -0.4207304120063782, -0.6351278424263, 0.32699668407440186, -0.8694792985916138, 0.008555169217288494, -0.2698618173599243, 0.21856474876403809, 0.5842911005020142, -0.49576303362846375, 0.8071947693824768, 0.7894608378410339, 1.1191896200180054, 0.5301046967506409, -0.7829355597496033, 0.36150065064430237, 0.026608765125274658, 0.1624002456665039, -0.06349857896566391, -1.4139426946640015, -0.4901343286037445, -0.7140204310417175, -0.5373234748840332, -0.30321401357650757, -1.1222939491271973, 0.7580893039703369, 0.013582962565124035, -0.43073147535324097, 0.5389760136604309, 0.3051759898662567, -0.27854111790657043, -0.008311793208122253, 0.20077593624591827, 0.015477588400244713, 0.858185350894928, -0.4206348657608032, -0.4685980975627899, -0.8952993750572205, -0.1657535880804062, 0.30059656500816345, -0.7768524885177612, 0.48147353529930115, -0.49812087416648865, 0.22782188653945923, 0.22296302020549774, -0.5649573802947998, 0.9930196404457092, -0.9345957040786743, -0.6056051850318909, -0.1087956428527832, -1.1753085851669312, -0.23969784379005432, 0.6448791027069092, 0.08259522914886475, -0.5163173675537109, 0.4671819508075714, 0.5094742774963379, -1.177979826927185, 0.24625001847743988, -0.7207691073417664, 1.0936981439590454, -0.42568451166152954, 0.5014286041259766, -0.2264886349439621, 0.671867847442627, 0.36418160796165466, 0.8822015523910522, 0.3551464378833771, -0.15299929678440094, 0.4307616949081421, 0.12458079308271408, 1.0911636352539062, -0.714143693447113, -1.1388397216796875, 0.2808753550052643, -0.2707594037055969, 0.33192798495292664, -0.040124472230672836, -0.38271158933639526, 0.2781323194503784, 1.2608466148376465, 1.1443922519683838, -0.7131497859954834, 0.164385125041008, -0.21449583768844604, -0.5026585459709167, 0.02502758614718914, -0.4631648361682892, 0.6240225434303284, 1.1190907955169678, 0.07093662768602371, -0.2682977318763733, 1.5569406747817993, 0.5186184644699097, -0.1498437076807022, 0.07812255620956421, -0.855602502822876, 0.04775252938270569, -0.4580627679824829, -0.5238454937934875, 0.597202479839325, -0.33978021144866943, 0.1162494346499443, 0.633579432964325, -1.245015025138855, 0.5543357729911804, -0.04292379319667816, -0.7796829342842102, 0.2942248284816742, -0.06873168051242828, -0.4275578558444977, -0.8098108172416687, 0.5917918682098389, -0.2469358891248703, 0.0808221846818924, -0.010743669234216213, -0.7031662464141846, 0.45554831624031067, 0.19474810361862183, 0.43786439299583435, -0.41193652153015137, -0.6518429517745972, 0.7916850447654724, -0.49847668409347534, -0.46284836530685425, -0.28232070803642273, -0.45405280590057373, -0.13062381744384766, 0.3163064420223236, -1.8401848077774048, 1.0709494352340698, -0.26859208941459656, 0.712145984172821, 0.8630280494689941, 0.28368592262268066, 0.9440738558769226, 1.1713711023330688, 0.5625498294830322, 0.15320798754692078, 0.6348451972007751, -0.5137327313423157, -0.12964607775211334, 0.9900015592575073, -1.5948303937911987, -0.12683802843093872, 0.16524602472782135, 0.09969934821128845, 0.13035018742084503, -0.06363201141357422, 0.8540930151939392, -0.3924407660961151, 0.26217198371887207, -0.012359506450593472, -0.7197958827018738, 1.3115323781967163, 1.0842578411102295, 0.01757882721722126, 0.6124131679534912, 0.5261661410331726, 0.4111466109752655, -1.115478515625, 0.37358760833740234, -0.39890581369400024, 0.6548780798912048, -0.2771867513656616, 0.5622920393943787, 0.8245826363563538, -0.38107314705848694, 0.05002857372164726, 0.21133175492286682, -1.1172724962234497, 0.010688181966543198, -0.7922590374946594, 0.10017208009958267, 0.8402887582778931, -0.30367785692214966, 0.9234079718589783, 0.1468823403120041, -0.5812250375747681, -1.0765163898468018, 0.2085375338792801, -0.1524224877357483, 1.0068542957305908, -0.4689983129501343, -0.04718044772744179, 0.12372957915067673, -0.842772364616394, -0.6684222221374512, -1.3878051042556763, -1.0096161365509033, -0.43530523777008057, -0.3045068681240082, 0.8543604612350464, 0.6534491777420044, -0.446287602186203, -0.6706079840660095, 0.0007930624997243285, -0.6310518383979797, 0.14895373582839966, 0.6202903389930725, -0.351211816072464, -1.561235785484314, -3.534036636352539, -0.3496427834033966, 0.9506328105926514, 1.3747199773788452, -0.5822461247444153, 0.09751980751752853, -0.7386177182197571, -0.20554140210151672, -0.13234379887580872, -0.8381729125976562, -0.29284369945526123, 0.11817832291126251, 0.6412742137908936, 0.12294184416532516, -0.5205740928649902, 0.47644004225730896, -0.7141314744949341, -0.21364866197109222, 0.606167197227478, -0.6459834575653076, 1.0025849342346191, -0.29107826948165894, 0.26465874910354614, 1.0700167417526245, -0.9979459047317505, 0.8587496876716614, -0.7893895506858826, 0.08540061861276627, 0.2012455314397812, 0.521581768989563, -0.43566450476646423, -1.0100681781768799, 0.2673965394496918, 0.0709652230143547, -0.6293519139289856, 0.9201830625534058, -0.8863904476165771, -0.4222123622894287, 0.2502407133579254, -10.238579750061035, -0.12364068627357483, 0.44705909490585327, 1.0709447860717773, 1.3113380670547485, -0.46648576855659485, 0.005077332258224487, 0.23201783001422882, -0.44290730357170105, -0.5926487445831299, -0.14968040585517883, 0.3985942006111145, 0.11004819720983505, 0.5755259990692139, 0.5153563022613525, 0.514784038066864, -0.3837193548679352, 0.645853579044342, -0.08038589358329773, -0.22090277075767517, -0.47927024960517883, -0.004188834223896265, 0.566117525100708, -0.21967509388923645, 1.9455006122589111, -0.9467014074325562, 0.08066079765558243, -0.9425590634346008, 1.0859421491622925, 0.6412531137466431, -0.7062419056892395, 0.08732114732265472, -0.019354887306690216, 1.0754375457763672, -0.7472984790802002, -1.073772668838501, 1.3208630084991455, 0.6532551646232605, 0.6439335346221924, 0.18787245452404022, 0.2734493315219879, -0.05695277824997902, 1.1221764087677002, 0.7243019938468933, 0.2438514530658722, -0.3612859845161438, -0.340108186006546, 0.5121142268180847, 0.08763573318719864, -0.8099008202552795, -0.26340335607528687, -0.0906117707490921, -1.0767443180084229, 0.3079366981983185, 0.6368727684020996, 1.051246166229248, -0.19001391530036926, -0.4171624779701233, -0.4593134820461273, -0.7750422358512878, -0.46940067410469055, -1.4885326623916626, 2.0816256999969482, 0.19490492343902588, -0.08642759919166565, 0.761951744556427, 1.1571919918060303, -0.01133917085826397, -0.5014641880989075, 0.3197541832923889, -0.18373286724090576, -0.771813690662384, -0.6977153420448303, -1.1135464906692505, -0.14065836369991302, 0.01070514414459467, -0.781306803226471, -0.03473399206995964, 0.0722537487745285, -0.30173349380493164, 0.008871941827237606, -0.036044515669345856, -0.09665307402610779, 1.2476297616958618, -0.008379831910133362, 0.20388855040073395, -0.47462522983551025, -0.19622209668159485, 0.2359154224395752, -1.1859666109085083, 0.6566445231437683, 0.23457814753055573, -0.4060601592063904, 0.5162147879600525, -0.6994175910949707, 0.26936253905296326, -0.0710754320025444, -0.8791300654411316, -0.9110270738601685, 0.05652425065636635, -0.1341591626405716, 0.09377285838127136, 1.1721643209457397, -0.06388438493013382, 1.3802343606948853, 0.8110019564628601, 0.6082009673118591, 1.0708949565887451, 0.055204566568136215, -1.1029895544052124, 0.4416409134864807, 0.2838720679283142, 0.7918198108673096, -0.0876864418387413, -0.19062630832195282, 0.3325245678424835, -0.4602317810058594, 0.8495237231254578, -0.5525015592575073, -0.18318472802639008, -0.5576293468475342, -1.44840669631958, 1.1210733652114868, 0.9223068952560425, -0.4964042901992798, -0.6969654560089111, 0.7517002820968628, 0.0076033868826925755, -0.776046872138977, -1.0431430339813232, 0.17900718748569489, -1.407327651977539, 0.11485013365745544, -0.3422342538833618, -0.02130909636616707, -0.3761531412601471, -0.9068923592567444, 0.660775363445282, -1.204695463180542, 0.3358115255832672, 0.679500937461853, 0.22391317784786224, 0.2635381817817688, 0.019991299137473106, -0.6794460415840149, -0.1216605082154274, -0.09834783524274826, 0.29070422053337097, 0.6051449775695801, -0.3719392716884613, -0.734094500541687, 0.5663135647773743, 0.6733590960502625, -0.22374793887138367, 0.0010351306991651654, -0.525482714176178, -0.6689630746841431, -0.2263733446598053, -0.3448264002799988, 0.19137217104434967, 1.0364832878112793, -0.498322069644928, 0.7554655075073242, 1.0291085243225098, -0.28477007150650024, -0.266414612531662, 0.46588942408561707, 0.14032229781150818, 0.09438600391149521, -0.604342520236969, 0.5142527222633362, -0.37429001927375793, 0.9381446242332458, -0.0690491572022438, 0.1115875244140625, 0.3253761827945709, 0.2947041988372803, 0.5441892743110657, 0.7794831991195679, -1.4700291156768799, 0.6635106801986694, -0.5551679730415344, 0.0780894085764885, 0.23076722025871277, 0.08268479257822037, -0.34031134843826294, -0.7455210089683533, 2.0908420085906982, 1.5291054248809814, -0.15336614847183228, 0.30339041352272034, -0.07384473085403442, -0.3122206926345825, 0.5486091375350952, 0.3112432062625885, -0.7743938565254211, -0.3496987819671631, -0.43006524443626404, 1.4799786806106567, 0.15590932965278625, -0.9473390579223633, -0.3540741205215454, 0.4864712357521057, 0.10875207930803299, -0.5834305286407471, -0.4187265932559967, 0.29903265833854675, 0.2695302963256836, -0.15918658673763275, 0.9755661487579346, 0.9026011824607849, -0.3904806971549988 ]
1,013
0704.1015
Noriaki Ikeda
Noriaki Ikeda and Tatsuya Tokunaga
An Alternative Topological Field Theory of Generalized Complex Geometry
29 pages, typos and references corrected
JHEP0709:009,2007
10.1088/1126-6708/2007/09/009
null
hep-th math.DG
null
We propose a new topological field theory on generalized complex geometry in two dimension using AKSZ formulation. Zucchini's model is $A$ model in the case that the generalized complex structuredepends on only a symplectic structure. Our new model is $B$ model in the case that the generalized complex structure depends on only a complex structure.
[ { "created": "Sun, 8 Apr 2007 06:09:52 GMT", "version": "v1" }, { "created": "Tue, 19 Jun 2007 09:56:37 GMT", "version": "v2" }, { "created": "Sun, 26 Aug 2007 15:17:09 GMT", "version": "v3" } ]
2008-11-26
[ [ "Ikeda", "Noriaki", "" ], [ "Tokunaga", "Tatsuya", "" ] ]
07
[ 0.7715073823928833, -0.05661412328481674, -0.6721231341362, 0.5520226955413818, -0.07642186433076859, -0.5170337557792664, 0.4630644619464874, -0.5855270028114319, -0.7393727898597717, -0.22205397486686707, 0.27426543831825256, 0.07686977088451385, 0.40216246247291565, -0.6160920262336731, -0.4603109061717987, 0.30462175607681274, 0.12719593942165375, -0.34520986676216125, -1.3517614603042603, -0.6604479551315308, 0.5579387545585632, -0.17608235776424408, -0.6578307151794434, -0.21277353167533875, -0.6900179386138916, 0.3918442726135254, 0.22345222532749176, 0.1288355588912964, 0.1364019364118576, -0.6929172277450562, -0.5802749395370483, 0.2129586637020111, 0.40329083800315857, 0.01593068614602089, 1.6529384851455688, 0.007377323228865862, 0.26779496669769287, -0.9985024333000183, 0.21853762865066528, 1.2753359079360962, 1.9131855964660645, 0.7156914472579956, 0.1293913871049881, -0.25833627581596375, -0.18014401197433472, -1.8739057779312134, 0.7875624299049377, 0.3516167402267456, 0.19275784492492676, -0.02489461749792099, 0.9346086382865906, 0.5554434061050415, 1.2704880237579346, -0.033148203045129776, -0.16918742656707764, 0.6506584286689758, 0.6002658009529114, -1.0213348865509033, 0.5509896278381348, 0.0034332748036831617, -0.24871359765529633, -0.6471486687660217, 0.30698201060295105, 0.9464450478553772, 0.5236147046089172, 0.09748835116624832, 0.11802966892719269, 1.6434284448623657, 0.49424904584884644, 1.1612190008163452, 0.35537412762641907, 0.29068416357040405, -0.47058993577957153, -0.8445071578025818, 0.7827210426330566, -0.45954424142837524, -0.042711470276117325, 0.2141406536102295, 0.06196407601237297, -0.17034798860549927, -0.6254070401191711, 0.27246811985969543, -1.1142961978912354, -0.17590542137622833, 0.7098983526229858, 0.1353137195110321, 0.95851069688797, 0.8215481638908386, 0.3305898904800415, 1.2545872926712036, 0.4844386577606201, -0.22678260505199432, -0.027127327397465706, 0.9370737671852112, 0.9388736486434937, -1.7827554941177368, 0.33161449432373047, 0.897411584854126, -0.39427435398101807, -1.2072991132736206, 1.2646679878234863, -0.47886359691619873, 0.33152085542678833, -0.3379083275794983, -0.7061163187026978, -0.5929681658744812, 0.503684937953949, 0.08198975026607513, -0.34797203540802, 0.803041934967041, 1.0391255617141724, 0.524544358253479, 0.3317967653274536, -1.215158462524414, -1.0048072338104248, 0.4977785646915436, -0.5262210369110107, -0.0793856680393219, 0.8760849237442017, -0.40194204449653625, 0.474663108587265, 0.02073521539568901, 0.7849010825157166, -0.13807789981365204, -0.41302523016929626, 1.367021918296814, -0.15961889922618866, -0.5577766299247742, -0.22854091227054596, -0.5562232732772827, 1.3981924057006836, -0.06429164856672287, 0.8866515159606934, 0.07728252559900284, -0.22971747815608978, 0.24142655730247498, 0.7124857306480408, -0.16332268714904785, 1.2967495918273926, 0.4587601125240326, -0.013690277002751827, -0.298648864030838, 0.22430285811424255, -1.0014151334762573, 1.2114050388336182, 0.019387567415833473, -0.4163791239261627, -0.7472496628761292, -1.0997601747512817, 0.714945912361145, -0.14013834297657013, -0.5856377482414246, 0.09038059413433075, -0.34514492750167847, 0.6535736322402954, 0.5667315125465393, 0.45623713731765747, -0.18298973143100739, 0.5311325192451477, 1.168303370475769, -0.5037110447883606, 1.5810115337371826, -0.20924808084964752, 0.4271150529384613, -0.5317056775093079, -0.7994418144226074, -0.22137466073036194, 0.48599645495414734, 1.0983144044876099, 0.7954533100128174, -1.1018164157867432, 1.016411542892456, -0.5458249449729919, 0.4307551085948944, 1.8487709760665894, -0.5940757989883423, 0.2886456549167633, -0.010861450806260109, -1.2666311264038086, -0.6721903085708618, -1.2891852855682373, -0.16490717232227325, 0.8245388865470886, 0.6335996389389038, -0.3519275188446045, -0.7333261370658875, -0.7146788835525513, -1.2754249572753906, 0.6822913289070129, -0.7104500532150269, 0.14473722875118256, -0.12781314551830292, -0.6586945056915283, -0.1628480851650238, -0.3121224343776703, 1.5615606307983398, -0.8200528025627136, 1.6778727769851685, 0.17497093975543976, -0.5325849652290344, 0.3428715169429779, -0.0651850551366806, -0.055631786584854126, 0.15428441762924194, -1.4337552785873413, 0.5128645896911621, 0.43709808588027954, 0.966280460357666, 0.7370383143424988, -0.31831496953964233, 0.5567544102668762, 0.4583747386932373, 0.02223467268049717, -0.9481115937232971, 1.7675734758377075, 0.1688164323568344, 2.035327911376953, -0.9392750263214111, -0.8355291485786438, -0.12712188065052032, -0.6752641201019287, 0.5973931550979614, -0.06976934522390366, 0.9766374826431274, 0.7084006071090698, 0.06828618049621582, 0.4007507562637329, -0.04657423123717308, -1.4309799671173096, -0.7988154292106628, 0.09597655385732651, -1.190963625907898, -1.5075769424438477, -0.4937232434749603, -0.6458387970924377, -0.6837661266326904, 0.2707146406173706, -0.17248114943504333, -0.7350940704345703, -0.7725295424461365, 0.022413143888115883, 0.9550976753234863, -0.47594961524009705, -0.6510452628135681, -0.32791098952293396, 0.2880917191505432, -0.2362171858549118, 0.8059694170951843, 0.6152312159538269, -0.1407250612974167, -0.6170753240585327, -0.5917643308639526, 0.2028588354587555, -1.4895845651626587, 0.3764452040195465, -0.3408409655094147, -0.17630484700202942, -1.0488100051879883, -2.408402681350708, 0.5239924788475037, 0.5652384161949158, -0.7762845754623413, 0.21019068360328674, -0.5640609264373779, -0.6542894840240479, 0.26840654015541077, 1.0756404399871826, 0.46383416652679443, 0.8014625906944275, 0.7743214964866638, -0.5570980906486511, -0.7698222994804382, 1.1338962316513062, -0.051884397864341736, -0.4432702958583832, -0.47366565465927124, -0.35916921496391296, -0.6782816052436829, -0.40632304549217224, -0.8356645703315735, -0.5755080580711365, 2.9570226669311523, -1.0473265647888184, 1.380162239074707, 1.2917948961257935, 0.9647485017776489, -0.23003853857517242, -0.7143467664718628, 0.2720256745815277, 0.7179514765739441, -1.1418962478637695, -1.362905502319336, -0.1896921843290329, 0.9210877418518066, -0.911506712436676, -0.8376632332801819, 0.6395389437675476, -1.0826328992843628, -0.6026332974433899, -0.3125632107257843, -0.830707848072052, -0.42292293906211853, -0.278047651052475, 0.42527011036872864, -0.014973406679928303, -0.38683363795280457, -0.34995391964912415, 0.8322096467018127, -1.480496883392334, -0.6607658863067627, -0.9070107340812683, -0.05359984189271927, -0.37673673033714294, -1.3365684747695923, 0.41978347301483154, 0.16526079177856445, -0.39695054292678833, 0.0469680018723011, 0.23934504389762878, -0.9599155783653259, 0.08177827298641205, 0.02658872865140438, 0.9837671518325806, -1.4345418214797974, 0.6632785797119141, -1.2307493686676025, -0.6866852045059204, 0.675473153591156, 0.7242274880409241, 0.49411097168922424, -0.20889194309711456, -0.639654278755188, -0.4101075828075409, 0.36522313952445984, -1.6633563041687012, -0.17540991306304932, 0.9103061556816101, -0.2732917070388794, 0.1302707940340042, -0.19424968957901, 0.45905354619026184, -0.37497279047966003, 0.6093650460243225, -0.6301310658454895, 0.7155453562736511, -0.5142703056335449, 0.10184478759765625, 0.457920640707016, -1.9451926946640015, 0.3354279696941376, 0.4420820474624634, -1.5285948514938354, 0.24270783364772797, 0.6639316082000732, -0.5591433644294739, 0.03945976495742798, -0.022938372567296028, 1.100641131401062, -1.2282384634017944, -0.5085077285766602, -0.2135162204504013, -0.20774725079536438, 0.4045911729335785, -0.42717286944389343, 0.5587411522865295, 0.7118489742279053, 0.6314254999160767, 0.5245621800422668, -0.22207054495811462, 0.04993601143360138, -0.0008214316912926733, -0.7039451599121094, -1.2458900213241577, 0.04256143420934677, -1.0532864332199097, -0.016003523021936417, -0.3881588280200958, -0.40796539187431335, 0.30278295278549194, 0.503720223903656, 0.39320796728134155, -0.10068443417549133, -0.3528626561164856, 0.49494072794914246, -1.4873789548873901, 1.2519820928573608, -0.6673095226287842, -0.8066519498825073, -0.22122587263584137, -0.3476420044898987, 0.17874877154827118, -0.017848189920186996, 0.05100467801094055, 0.8846135139465332, -0.11807826161384583, 0.18301966786384583, -0.672695517539978, -0.7715476751327515, -0.40551668405532837, 1.39329195022583, -0.3817289173603058, 0.4310435652732849, -0.902084231376648, -1.6856260299682617, -0.7943508625030518, -0.7948278784751892, 0.4590815305709839, 0.8164864182472229, 0.0773535966873169, 0.3244870603084564, 0.1430075317621231, 1.1509380340576172, -0.6824231147766113, -0.003846866777166724, -1.1282628774642944, -0.2983144521713257, 0.4520207345485687, 1.2396057844161987, -0.46649229526519775, -0.5282158255577087, -0.4816432595252991, -1.4013557434082031, 0.28379783034324646, 0.6142981052398682, -0.22897642850875854, 0.1622014343738556, -0.23156586289405823, -0.9616222381591797, -0.5481789708137512, -0.5411489605903625, -0.08414048701524734, 0.3056998550891876, -0.6596143245697021, -1.2026311159133911, -0.5556515455245972, -0.10791653394699097, -0.3930337131023407, 1.0889090299606323, -0.3354097008705139, -0.6721615791320801, -0.6459104418754578, 0.5978270173072815, -0.12206614017486572, -0.6164320707321167, 0.3699113726615906, -1.2906737327575684, -0.860846996307373, 0.1665281057357788, -0.29225778579711914, 0.09307955950498581, -1.5381535291671753, -1.0551263093948364, 0.5338987708091736, -0.5273482203483582, 0.27296316623687744, 0.003129791235551238, 0.631125807762146, 0.4488592743873596, 0.37324419617652893, -1.005170464515686, -0.8748847842216492, 0.14329533278942108, 0.45906662940979004, -0.4532575011253357, -0.18419679999351501, -1.0624462366104126, -1.0532646179199219, 0.412698894739151, -1.106378436088562, 0.8073415160179138, 0.6112964749336243, 0.2167370319366455, 0.7322484850883484, 0.05252659320831299, 1.1039975881576538, -0.36659014225006104, 1.3582459688186646, 0.07051442563533783, 0.5963192582130432, -0.4587957561016083, 1.4743859767913818, 0.4861130118370056, -0.8563638925552368, -0.15618029236793518, 0.36928701400756836, -0.2080412656068802, 0.1556519716978073, 1.0418781042099, -0.11554136872291565, 0.5128434300422668, -0.20281755924224854, 0.13635140657424927, -1.2993502616882324, -0.8686544895172119, -0.6419761180877686, 0.4895983338356018, -0.18069705367088318, -1.0267858505249023, -1.0227714776992798, 0.648812472820282, 0.14926029741764069, -0.010596265085041523, 0.12271031737327576, -0.5604044198989868, -0.592710554599762, -0.25827348232269287, -0.12541435658931732, 0.24970245361328125, 1.0558083057403564, 0.58717280626297, -0.1174393743276596, -1.8556932210922241, 1.3643395900726318, 0.19240805506706238, 1.09250807762146, 0.8631411790847778, 0.02760975994169712, -2.7887768745422363, -0.4389861524105072, 0.5338971018791199, 0.05526347830891609, -0.6564524173736572, 0.20889022946357727, -1.4706742763519287, -0.033148106187582016, 0.4282187819480896, -0.42576414346694946, 0.08038128912448883, 0.406343013048172, -0.05214848741889, -0.47383254766464233, 0.4077872931957245, -0.054281339049339294, -0.32319900393486023, -0.3039684593677521, -0.43755608797073364, 0.3148021399974823, -0.26747605204582214, -1.189852237701416, 0.6349835991859436, 0.22560571134090424, -0.359781414270401, 0.766872227191925, -0.5418880581855774, 0.6697715520858765, -0.25246623158454895, 0.7026862502098083, -0.28015613555908203, 0.9299296140670776, 0.7496253848075867, -0.9616812467575073, 0.08564887195825577, -0.5229783058166504, -0.0808388814330101, -1.0670585632324219, -0.5744636654853821, -7.406008720397949, 0.36656638979911804, -0.4335319399833679, -0.8627299070358276, 0.39123135805130005, -1.1259340047836304, -0.7163434028625488, -0.6361322402954102, 1.4053846597671509, 2.3478145599365234, 1.2321470975875854, -0.3589584231376648, -0.6739212274551392, -0.15260034799575806, -0.28531932830810547, -0.6932989358901978, -0.36469244956970215, 0.1320079267024994, -0.868458092212677, -0.08804510533809662, -0.8762058019638062, -0.028626346960663795, 0.7809461355209351, -0.16983890533447266, 0.920997679233551, -1.4141615629196167, 0.12894856929779053, -0.7850499749183655, 0.9328535199165344, 0.07103180140256882, -1.0208051204681396, 0.3312344253063202, -0.7005313038825989, 0.6167198419570923, 0.2829746901988983, -0.6595070958137512, -0.13565677404403687, -1.0787818431854248, -1.5059771537780762, 0.27204227447509766, -0.6956551671028137, 0.1158418357372284, -0.4104568660259247, -0.2268165796995163, -0.31434616446495056, 0.16429182887077332, 0.43539613485336304, 0.026302404701709747, 0.7118252515792847, -1.0372523069381714, -1.9884835481643677, 1.0527863502502441, 0.8789992928504944, 0.15469244122505188, 0.12645909190177917, 0.052109863609075546, -0.2747909128665924, -0.47967052459716797, -1.3839536905288696, -0.16420504450798035, -0.3453432023525238, -0.03503575548529625, -1.12815260887146, 0.8458008170127869, 0.2878217101097107, 0.15375369787216187, 0.25758641958236694, 0.511093020439148, 0.5594996213912964, 0.4727073609828949, -0.8551818132400513, 0.05889439582824707, -0.3855595886707306, -0.3498658537864685, -1.9420907497406006, -0.417927622795105, -0.5888991355895996, 1.3740795850753784, -0.1837228536605835, 0.8297611474990845, 0.7530798316001892, -0.10891132801771164, 0.19266465306282043, 0.11477678269147873, -0.011543464846909046, -0.25921106338500977, 0.6668165922164917, 0.2799146771430969, -0.4351300001144409, -0.1843876987695694, -0.35676684975624084, -0.06169404461979866, -0.3551689088344574, 0.019245034083724022, -0.6446924805641174, -0.58914715051651, -0.20215582847595215, -0.5268362164497375, -0.7417613863945007, -0.5982619524002075, 0.2689629793167114, 0.31702303886413574, 1.7629733085632324, 1.3904668092727661, 1.7530081272125244, -0.9801673293113708, 0.06938432902097702, -0.10978302359580994, 0.663381814956665, 0.5189101099967957, -0.24879954755306244, 1.139489769935608, 0.7397993206977844, -1.440193772315979, 1.006708025932312, 0.6398152709007263, -0.10645937919616699, 0.35044920444488525, -0.8648823499679565, -1.2548606395721436, 0.5367544293403625, 0.7196229696273804, 0.7953802347183228, -0.40491122007369995, 0.1886749267578125, 1.0954985618591309, -1.2128125429153442, -0.5893645286560059, 0.2328101396560669, -0.8311033248901367, 0.26848214864730835, 0.8823891878128052, -1.148055911064148, 1.0819231271743774, -0.46194154024124146, -0.9739620685577393, 0.7563009262084961, 0.10686986148357391, -0.34203875064849854, -0.3241690695285797, 0.2234334498643875, 0.3706892132759094, 0.989456832408905, 0.5447177290916443, 0.2938109040260315, -0.25658315420150757, -0.887119472026825, -0.14514167606830597, 0.6253489851951599, 0.6105619668960571, -0.30411040782928467, 0.02409859374165535, 0.9350537061691284, 0.45266830921173096, -0.4783939719200134, -0.11883749812841415, 1.10672128200531, -0.3629404604434967, -0.5885372161865234, -0.5953011512756348, -0.9549924731254578, -0.33141279220581055, 0.7891858816146851, 0.3154583275318146, 1.212164044380188, -0.2880766987800598, -0.289386510848999, -0.6669985055923462, 0.28783050179481506, -0.12721826136112213, -0.027764592319726944, 0.007240342907607555, 0.3290919065475464, 0.4302210211753845, 0.3293877840042114, 0.5412221550941467, -0.18227501213550568, 0.2662815749645233, -0.280888170003891, -1.7451084852218628, 1.0754337310791016, -0.4844580292701721, 0.09107457101345062, -0.8287652730941772, 0.04350123926997185, 0.7494780421257019, -0.7614612579345703, -0.475389301776886, 1.0200117826461792, -0.2449294775724411, 0.006104837637394667, -0.19326843321323395, -0.9634590148925781, -0.04143097251653671, -1.030419945716858, 0.5887330770492554, -0.45246216654777527, -0.030459212139248848, -0.019483666867017746, -1.0677977800369263, 0.205226331949234, 0.14190052449703217, -0.39635685086250305, 0.3501315712928772, -0.7466700077056885, 0.601775050163269, -1.563630223274231, -0.09556708484888077, 0.8199566006660461, -0.6443099975585938, 1.4679373502731323, 0.44802042841911316 ]
1,014
0704.1016
Tao Zhou
T. Zhou, Z. D. Wang
Phenomenological theory of spin excitations in La- and Y-based cuprates
8 pages, 8 figures
null
10.1103/PhysRevB.76.094510
null
cond-mat.supr-con cond-mat.str-el
null
Motivated by recent inelastic neutron scattering (INS) experiments on La-based cuprates and based on the fermiology theories, we study the spin susceptibility for La-based (e.g., La$_{2-x}$Sr$_x$CuO$_4$) and Y-based (e.g., YBa$_2$Cu$_3$O$_y$) cuprates, respectively. The spin excitation in YBa$_2$Cu$_3$O$_y$ is dominated by a sharp resonance peak at the frequency 40 meV in the superconducting state. Below and above the resonance frequency, the incommensurate (IC) peaks develop and the intensity of the peaks decreases dramatically. In the normal state, the resonant excitation does not occur and the IC peaks are merged into commensurate ones. The spin excitation of La$_{2-x}$Sr$_x$CuO$_4$ is significantly different from that of Y-based ones, namely, the resonance peak does not exist due to the decreasing of the superconducting gap and the presence of the possible spin-stripe order. The spectra are only enhanced at the expected resonance frequency (about 18 meV) while it is still incommensurate. On the other hand, another frequency scale at the frequency 55 meV is also revealed, namely the spectra are commensurate and local maximum at this frequency. We elaborate all the results based on the Fermi surface topology and the d-wave superconductivity, and suggest that the spin-stripe order be also important in determining the spin excitation of La-based cuprates. A coherent picture for the spin excitations is presented for Y-based and La-based cuprates.
[ { "created": "Sun, 8 Apr 2007 06:27:56 GMT", "version": "v1" } ]
2009-11-13
[ [ "Zhou", "T.", "" ], [ "Wang", "Z. D.", "" ] ]
07
[ -0.5588240027427673, 0.5678339004516602, -0.6758988499641418, -0.6334546208381653, -0.9485515356063843, 0.4413239657878876, 0.03194395452737808, -0.5239548683166504, -0.8385335206985474, -0.36413946747779846, -1.2442219257354736, -0.7053354978561401, -1.0946000814437866, 0.10477708280086517, -0.48862093687057495, 0.7162752151489258, 1.2437717914581299, -0.909923791885376, -0.03937561437487602, -0.5476951599121094, 1.3181343078613281, 0.3147755265235901, 0.07196811586618423, -0.7304374575614929, -0.25851964950561523, 0.6392353773117065, -0.7894296646118164, 1.0097707509994507, -0.9969410300254822, -0.7040213346481323, -0.44217413663864136, 0.9185230731964111, 0.09647780656814575, 0.2805870771408081, -0.9569792151451111, 0.23667924106121063, 0.10982224345207214, 0.5334361791610718, 0.6172580718994141, -0.2731536030769348, -0.16544178128242493, 0.4984670877456665, -0.5445002913475037, 0.009168490767478943, -1.1552751064300537, 1.2119989395141602, -0.7208664417266846, -0.675081193447113, -0.2640063464641571, 0.10547452419996262, -0.25665828585624695, 0.9971728920936584, -0.5685451626777649, 0.8735057711601257, -0.5089771747589111, 0.5986505746841431, -0.5418712496757507, 1.0654327869415283, 0.5895644426345825, -1.5865228176116943, -1.548980712890625, -0.5005895495414734, 0.4312991499900818, -0.046410880982875824, 0.68131422996521, -0.015904396772384644, -0.7121443152427673, -0.429767370223999, 0.427926629781723, -0.42284274101257324, -0.516252875328064, -0.7328753471374512, -0.7826527953147888, 0.28594163060188293, -0.3554812967777252, -0.4331924021244049, -1.3121312856674194, -0.14083215594291687, 1.183448076248169, 0.21276645362377167, -0.11161266267299652, 0.4555177688598633, 0.20352014899253845, -1.4908570051193237, 0.6762263178825378, 0.9115132689476013, 0.42329588532447815, -0.2696303129196167, 0.30409952998161316, -0.9598260521888733, 0.6105678081512451, -0.7989974021911621, 0.6116784811019897, -0.5020168423652649, -0.4150494635105133, -0.6655114889144897, -0.6225047707557678, -0.06395766884088516, -0.5114341974258423, -0.04659042879939079, -0.5486916303634644, 1.2580244541168213, 0.5471193194389343, 0.8755178451538086, 0.21863673627376556, 1.3247084617614746, -1.0936012268066406, -0.027616845443844795, -0.2765498757362366, -0.2849171459674835, -0.9318411946296692, -0.5526546239852905, 0.23122426867485046, 0.14829492568969727, -0.10273972153663635, 0.9679800271987915, 0.993415355682373, 1.9773283004760742, 0.6570661664009094, -0.8861026763916016, -0.21163105964660645, -0.162320077419281, 0.8353856801986694, 0.14170585572719574, 1.1124134063720703, -0.8309473395347595, 0.49557846784591675, -1.1908189058303833, -0.8682646751403809, 0.16146132349967957, -0.9797555208206177, -0.25908419489860535, -0.32468584179878235, 1.2871540784835815, 0.5263542532920837, 0.24294987320899963, -0.29654404520988464, -0.5901506543159485, -0.2828628420829773, -0.39177682995796204, 0.46727046370506287, 0.018334414809942245, -0.9771208167076111, -1.4077328443527222, 0.157173752784729, -0.8117985129356384, -0.18595995008945465, 0.22082893550395966, 0.005714040715247393, -0.31254586577415466, 0.8567183613777161, -0.37819138169288635, -0.11513258516788483, 0.8684639930725098, -0.526875376701355, -1.2103722095489502, 0.29027846455574036, 1.1892683506011963, -0.8586559891700745, 1.1266556978225708, 0.7628645300865173, 1.547411322593689, -0.6005164384841919, -0.11266103386878967, -0.5046185851097107, -1.1650446653366089, 0.008018288761377335, -0.17135299742221832, 0.35873329639434814, 0.4655984342098236, 1.536289930343628, -0.11640401184558868, -0.2447683960199356, -0.08727393299341202, -1.0474774837493896, 0.29931822419166565, 0.28537845611572266, -0.03581560403108597, -0.25529012084007263, 1.0642811059951782, 0.39269882440567017, -1.087806224822998, 0.6496806144714355, -1.0886344909667969, 0.15944519639015198, -0.3355667293071747, -0.1754155457019806, -1.0323864221572876, 0.6413006782531738, -0.019871819764375687, 0.17282132804393768, 0.35962578654289246, -0.9869200587272644, -0.8063525557518005, 0.16721990704536438, 0.7972195148468018, 0.5707930326461792, 1.2129144668579102, -0.33794116973876953, -0.11866828054189682, 0.34798911213874817, 0.4692964255809784, 0.9923627376556396, -0.16673411428928375, 0.0006679967045783997, 0.03065226785838604, 0.5215703845024109, 1.0480860471725464, -1.4032976627349854, 0.8714784383773804, -0.2671351432800293, 0.09445634484291077, -0.3044453263282776, -0.4184107184410095, -0.04014973342418671, -0.8075066804885864, -1.000307321548462, -0.783687949180603, -0.07375812530517578, 0.36854055523872375, 0.8215853571891785, 0.3286591172218323, 1.4115136861801147, -0.9587434530258179, 0.5312714576721191, 1.2703667879104614, -0.7759690880775452, 0.4524654448032379, -0.5952917337417603, 0.7952961921691895, -0.4439651072025299, -0.3499580919742584, 0.06909410655498505, 0.27305611968040466, -0.279917448759079, 0.22395819425582886, 0.10737349838018417, 0.14654812216758728, -0.6351471543312073, -2.0183098316192627, -0.5821430087089539, -1.0010221004486084, 1.1677504777908325, 0.4194514751434326, 0.639856219291687, -0.8438572287559509, -0.6077040433883667, 0.8068925738334656, -0.26166778802871704, 0.184858039021492, -1.3603161573410034, -0.7640010118484497, 1.2491477727890015, -0.26228952407836914, -0.4961766302585602, 0.4135703146457672, 0.24095533788204193, -1.0520998239517212, 0.16589151322841644, -0.3390054404735565, -0.1698528677225113, 0.13101354241371155, 0.9639449715614319, -0.34759050607681274, -0.3538682162761688, -0.006452049594372511, -1.076117992401123, 0.6602945923805237, -0.8720296025276184, 0.2635418772697449, -0.905906081199646, 0.146806001663208, 0.23492898046970367, 0.24777601659297943, -0.5875695943832397, -0.16836333274841309, 0.9462602138519287, 0.08424990624189377, -0.7379487156867981, 0.12805351614952087, -0.6797543168067932, -0.5059157013893127, 0.44968146085739136, 1.2750614881515503, -0.6493915915489197, 0.42288875579833984, 0.7308827638626099, -0.10644403845071793, 0.19699335098266602, 0.5861934423446655, -1.1415817737579346, -1.4489227533340454, 0.645393967628479, -0.8794909715652466, 0.133097305893898, 0.08895799517631531, 0.31155768036842346, 0.16138595342636108, 0.2602347135543823, -0.05719910189509392, -0.1067105233669281, 0.037328269332647324, -0.1360761821269989, 0.6215888857841492, 0.27829667925834656, -0.23019032180309296, -0.07122299075126648, -0.12298392504453659, 0.385529100894928, -0.21014663577079773, -0.70350182056427, 1.277238368988037, 0.4049200713634491, -0.14446407556533813, 1.1149104833602905, -0.07885691523551941, -0.6638796925544739, 0.8060764074325562, 0.4078977704048157, 0.5067437291145325, 0.04875698313117027, 0.6608850955963135, -1.2158159017562866, 0.2041463851928711, -0.0011502985144034028, -1.704371452331543, -0.16464069485664368, -0.7211108803749084, -0.7573798298835754, 0.20660796761512756, 0.8064441084861755, 0.050119705498218536, -0.41565951704978943, 1.0958181619644165, 1.2510535717010498, 0.2696850895881653, 0.010741043835878372, 0.7041496634483337, 2.0223190784454346, -0.4860316216945648, 0.4217298626899719, 1.4002150297164917, -0.5460693836212158, 0.7226216793060303, -1.5268043279647827, 0.006984176579862833, -0.505163311958313, 0.5591542720794678, -0.9840207099914551, -0.5349898934364319, 0.015745585784316063, -0.4292966425418854, 2.184727430343628, 0.13588763773441315, 0.3638535439968109, -0.48330801725387573, 0.2585052251815796, 0.46901774406433105, 0.5320924520492554, 0.6159881949424744, 0.2842561602592468, -1.6220053434371948, 0.19715921580791473, -0.746059775352478, -0.7756105661392212, -0.9487579464912415, -0.12226906418800354, -0.1989261358976364, -0.18505993485450745, -0.5753291845321655, 0.3791733384132385, -0.3695034980773926, 0.3685210943222046, -2.27530574798584, -1.0813730955123901, 1.2921706438064575, -0.7804451584815979, 0.13656271994113922, 1.0794639587402344, 0.39108219742774963, -0.6679443120956421, -1.0574129819869995, 0.7737904191017151, 0.3631892502307892, -0.4231153428554535, 0.2699751555919647, 2.1699020862579346, 0.6517016291618347, -0.7031050324440002, 0.36795535683631897, -1.242211937904358, 0.026000620797276497, 0.4826641082763672, -0.2526165843009949, -0.18264435231685638, 0.9634680151939392, 0.6467409133911133, 0.3051631450653076, -0.5432088971138, 0.5108700394630432, -1.6260323524475098, 0.005743653047829866, -1.2836871147155762, -0.30256783962249756, 0.23884324729442596, 0.7805749177932739, 0.7496505379676819, -0.06657831370830536, -0.7650547027587891, -0.38264432549476624, 1.0519518852233887, 0.8423060178756714, 0.7113663554191589, -0.8034628629684448, 0.47171518206596375, -0.41318514943122864, -0.0005585247999988496, 0.808323323726654, -1.2857370376586914, 1.1272804737091064, -0.05304386839270592, -0.16418124735355377, -0.6799024343490601, 0.5999642014503479, 0.12340690940618515, 0.9705327749252319, 0.4735485315322876, -0.9583470225334167, -0.5311461687088013, 0.32487615942955017, 1.015307903289795, -0.08443142473697662, -0.32203641533851624, -0.23615023493766785, 0.35040509700775146, 0.4627162516117096, 1.022795557975769, 1.606812834739685, 0.13343045115470886, 0.28556588292121887, -1.3834308385849, -1.2244428396224976, -0.7765921354293823, -0.16383959352970123, -0.29025089740753174, -0.23813121020793915, 0.16351230442523956, 1.783551812171936, -1.2434340715408325, 0.5386459827423096, -0.3656235337257385, -0.8189294338226318, 0.022321678698062897, 0.27994444966316223, -0.06837407499551773, 0.8852519989013672, -0.03772532194852829, 0.629368007183075, -0.2615604102611542, -1.04531729221344, -1.4427645206451416, -0.5880401134490967, 0.2146061807870865, -0.410540372133255, 0.9567589163780212, -0.6996201276779175, -0.19731861352920532, -0.7869993448257446, 0.8673713207244873, 0.582700788974762, 0.8495330810546875, 0.05833350494503975, 0.3217150568962097, -0.5953086018562317, -0.13913533091545105, -1.4840271472930908, -0.06787379086017609, 0.7486027479171753, -0.46051162481307983, -0.04355686157941818, 0.0871741995215416, 0.8654704093933105, -1.9269462823867798, -0.2688676416873932, -0.11816569417715073, -0.10037770122289658, -1.1439963579177856, 0.36174851655960083, 0.0774969607591629, -0.8028263449668884, 0.6570065021514893, -0.2352307289838791, 0.509489893913269, -0.4656141996383667, 0.9869354367256165, 0.31660404801368713, 0.3415957987308502, -0.7616711258888245, 1.475167989730835, -0.780319094657898, 0.5919387936592102, -0.8252900838851929, 0.07977564632892609, 0.7115195989608765, -0.33084556460380554, 1.3299390077590942, 0.7901999354362488, 0.6738006472587585, -1.2338056564331055, -0.1199132427573204, 0.38227570056915283, -0.4626757502555847, 0.659666895866394, 0.3701772391796112, -0.5866619944572449, -0.5853391885757446, -0.1597331017255783, -1.9355287551879883, -0.4443708658218384, -1.365440845489502, -1.2246899604797363, 0.7213959097862244, 0.698907732963562, -0.018667230382561684, -1.0003846883773804, -0.8938413858413696, -0.17494627833366394, 0.35450834035873413, 1.3035273551940918, -0.49270325899124146, -1.2395600080490112, -0.6281861662864685, 0.06477515399456024, 0.023970097303390503, -0.7182589769363403, 1.6071891784667969, 1.0995181798934937, -0.03101116046309471, -1.0548679828643799, 2.392038583755493, -0.9641909003257751, -0.5155839323997498, -0.26140955090522766, 0.002749544335529208, 0.08785319328308105, -0.6874643564224243, -0.12114068865776062, -0.18036450445652008, -0.41019976139068604, 0.5151635408401489, -1.4391123056411743, -0.6781419515609741, -1.5191757678985596, 0.9283034205436707, -0.0036595878191292286, -0.9727944135665894, -6.152531147003174, 0.16518272459506989, -0.20952104032039642, 0.6491926312446594, 1.0374336242675781, -1.373088002204895, 0.42020148038864136, -0.9144211411476135, -0.5156176090240479, 0.8904786705970764, 0.1613808423280716, 0.24626469612121582, -1.3994190692901611, -0.5868975520133972, 0.6545257568359375, -0.35703301429748535, 0.4836859107017517, -1.0845069885253906, 1.3020740747451782, -0.54715895652771, 0.08853238821029663, 0.08593631535768509, 0.7104054689407349, -0.1450737863779068, -1.8394839763641357, -0.919312059879303, -0.06282739341259003, 0.5599017143249512, 0.31760671734809875, 0.7238578796386719, 0.33287692070007324, 0.8555537462234497, -1.662834882736206, 0.45077869296073914, 0.7161407470703125, 0.28662362694740295, -0.13211920857429504, 1.56260347366333, 0.8096572160720825, -0.8136774301528931, 0.8877020478248596, 0.1509638875722885, 1.1347860097885132, -2.0387587547302246, 0.010626215487718582, 0.5121246576309204, 0.2154729962348938, 0.5216798186302185, 0.7549316883087158, 0.6605636477470398, 1.9316797256469727, 0.10335347801446915, -0.059814222157001495, 0.3983319401741028, 0.2548864185810089, -0.5427359342575073, -1.0911307334899902, 0.09124235063791275, 0.22722233831882477, -0.14551560580730438, -0.5803467631340027, 0.4994576871395111, 0.823236346244812, 0.1966138482093811, -1.1465319395065308, -0.0013941471697762609, -0.3732498586177826, 0.037378162145614624, 0.8218902349472046, -1.7018835544586182, 0.44218435883522034, -1.6067336797714233, 0.41497382521629333, 0.46088796854019165, -0.8511536121368408, -0.3953424394130707, -1.2892286777496338, 1.4366309642791748, 0.35942918062210083, -0.7152445912361145, 1.178868055343628, 0.9285138845443726, -0.5645846724510193, -0.6832771301269531, -0.15586459636688232, -0.7462027668952942, -0.6202358603477478, 0.2659904360771179, -1.2680586576461792, -0.5441262722015381, -0.1017899289727211, -1.3436248302459717, -0.43949058651924133, -0.9754515290260315, -0.7106026411056519, -0.08593382686376572, 0.29235875606536865, -0.2884427607059479, -0.008194093592464924, 0.4286881387233734, -1.489375352859497, -0.7975643277168274, -0.7068819999694824, 0.5187849402427673, -0.5434646606445312, 0.07335098087787628, -0.537733256816864, 0.08998067677021027, -0.44981974363327026, 0.9283810257911682, -0.3032439947128296, 0.06506732106208801, -1.1105974912643433, 1.3498413562774658, -0.5954802632331848, 1.1626254320144653, -0.7816270589828491, 1.7832822799682617, -0.7168243527412415, -0.03382314741611481, -0.6564527153968811, 0.520479142665863, 0.2685614228248596, 0.4230958819389343, 0.680399477481842, 0.16243098676204681, 0.5570086240768433, -0.17914751172065735, -0.25244399905204773, 0.3790194094181061, -0.10605017840862274, -0.3738414943218231, 1.4498335123062134, 1.1795458793640137, 0.6679250001907349, -0.22613000869750977, -0.8924332857131958, -0.043800823390483856, -0.2446301281452179, -0.15490515530109406, 0.27045899629592896, 0.27669888734817505, 0.019252914935350418, -0.08574945479631424, 0.09413141012191772, -1.3109546899795532, 1.2338919639587402, 0.1527249664068222, 0.02369382604956627, 0.0534503236413002, -0.32209688425064087, 1.1784838438034058, -1.7966171503067017, 1.044816017150879, -0.17163850367069244, -0.16370677947998047, -0.8875909447669983, -1.051833987236023, 0.232999786734581, -0.1762765794992447, 0.12157973647117615, -0.12006615847349167, -1.4376392364501953, -0.8080404996871948, -1.8650680780410767, -0.9445087313652039, -0.5702059268951416, 0.5498555302619934, -0.8842988610267639, 0.17061853408813477, 1.0291856527328491, 0.19827260076999664, 0.1777937114238739, -1.3271145820617676, 0.9561945796012878, 1.0215879678726196, 0.026318475604057312, 0.899937629699707, 0.06677624583244324, -1.241607666015625, 0.1729680299758911, -2.317899227142334, 0.44607874751091003, -0.26485347747802734, -1.2728503942489624, 0.8233436346054077, 0.024459565058350563, 0.9683687686920166, -0.3283405303955078, -0.2596017122268677, -0.27732452750205994, -0.3704195022583008, 0.22651536762714386, -0.5810074806213379, -1.4051975011825562, 1.390563726425171, 0.3665632903575897, 0.1802414506673813, -1.2213413715362549, 0.008403770625591278, -1.126824140548706, -1.1970044374465942, 0.15030023455619812, -0.01770634949207306, 0.298862099647522, -0.30730128288269043, 0.40454334020614624, -0.2294391691684723, 1.3559420108795166, -0.08484961092472076, 0.8440240025520325, 0.4163665175437927 ]
1,015
0704.1017
Gregoire Misguich
Gregoire Misguich and Philippe Sindzingre
Magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2
Minor revisions in the text and references. To appear in Eur. Phys. J. B
Eur. Phys. J. B 59, 305 (2007)
10.1140/epjb/e2007-00301-6
null
cond-mat.str-el cond-mat.stat-mech
null
We compute the magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice with high-temperature expansions and exact diagonalizations. We compare the results with the experimental data on ZnCu3(OH)6Cl2 obtained by Helton et al. [Phys. Rev. Lett. 98, 107204 (2007)]. Down to k_BT/J~0.2, our calculations reproduce accurately the experimental susceptibility, with an exchange interaction J~190K and a contribution of 3.7% of weakly interacting impurity spins. The comparison between our calculations of the specific heat and the experiments indicate that the low-temperature entropy (below ~20K) is smaller in ZnCu3(OH)6Cl2 than in the kagome Heisenberg model, a likely signature of other interactions in the system.
[ { "created": "Sun, 8 Apr 2007 07:36:14 GMT", "version": "v1" }, { "created": "Fri, 26 Oct 2007 09:52:27 GMT", "version": "v2" } ]
2011-11-09
[ [ "Misguich", "Gregoire", "" ], [ "Sindzingre", "Philippe", "" ] ]
07
[ -0.9062676429748535, -0.09655076265335083, 0.9696369767189026, 0.7634170651435852, -0.4433528780937195, 0.2588437795639038, 0.519361138343811, 0.5520184636116028, 1.0702160596847534, -0.7906314134597778, 0.362188458442688, 0.009407094679772854, 1.0428998470306396, -0.3818797171115875, -0.4951677918434143, -0.3193597197532654, -0.4640081524848938, -0.2442692369222641, 0.9346719980239868, 0.06385091692209244, 1.047574520111084, 0.364888995885849, 0.5114275813102722, -1.4166525602340698, -0.3153781294822693, 0.5391042828559875, -0.5119816660881042, 1.2003713846206665, 0.15219064056873322, -0.22527103126049042, 0.924519956111908, -0.10905662178993225, 0.8546057939529419, 0.8091981410980225, -0.7331308126449585, -0.7303439974784851, -0.22028841078281403, 0.4325641989707947, -0.1538262665271759, 0.7564701437950134, 0.34551841020584106, 0.4770069718360901, -0.36472249031066895, -0.34939679503440857, -1.516930341720581, -0.05277198925614357, -0.07104012370109558, -2.4667398929595947, -1.3627674579620361, -0.010638918727636337, 0.22429220378398895, -0.24602662026882172, 0.03166138380765915, -0.24446523189544678, 0.4456862807273865, 0.4080207049846649, -1.5885062217712402, 0.42344245314598083, 0.7163775563240051, -0.8907056450843811, 0.318454772233963, 0.7320341467857361, -0.7998653054237366, 1.1640406847000122, 0.8311757445335388, 0.8518416285514832, 0.13879920542240143, 0.3098776936531067, 0.26356175541877747, -0.7070141434669495, -0.32803624868392944, -1.419175386428833, -0.3481418192386627, -0.08471813052892685, -0.373666912317276, 0.009981663897633553, -2.0778284072875977, -0.010523520410060883, -0.13649316132068634, 0.5555582642555237, 0.5316298604011536, -0.1558127999305725, -0.5439828634262085, -0.4044259488582611, 0.9373548030853271, 0.5239858627319336, 0.8016211986541748, 0.1650582253932953, -1.0496351718902588, -0.15986645221710205, -0.25010648369789124, -0.44413578510284424, -0.6591508984565735, 0.4500640332698822, -0.2740054726600647, -0.016547508537769318, -1.2046564817428589, -0.3058180510997772, -0.42694830894470215, 1.2637747526168823, 0.33543506264686584, 0.5169859528541565, 0.0689343735575676, -0.17112527787685394, -0.7157198190689087, 0.27252092957496643, 0.7830077409744263, -1.679187297821045, -0.04408061504364014, 0.6211219429969788, 0.038070548325777054, 0.07709512859582901, 1.436022400856018, 0.16034165024757385, -1.233884334564209, 0.7935541868209839, 0.9329779148101807, 0.2655293941497803, 1.1042729616165161, -0.05504491180181503, 0.43237727880477905, 0.18921920657157898, 0.2592069208621979, -0.43351849913597107, -0.3199901580810547, -0.8160707950592041, -0.43449974060058594, -0.20151250064373016, 1.2615885734558105, -0.8062049746513367, 0.2818276584148407, -0.3845134675502777, 0.6044753789901733, -0.9142360687255859, 0.2701812982559204, -0.17116142809391022, 0.7119234800338745, -0.6227718591690063, 0.6255167126655579, -0.0596197172999382, 0.5348170399665833, -0.979381263256073, -0.07853351533412933, -0.8985239267349243, -0.2599988281726837, 0.33502084016799927, -0.07058796286582947, -1.1898497343063354, 0.8278888463973999, -0.4135277271270752, 0.7391494512557983, 0.7621076703071594, 0.6102498173713684, -0.24932509660720825, -0.6410124897956848, 0.050731997936964035, 1.9513771533966064, 0.46962007880210876, -0.11217723786830902, 0.8416826128959656, 0.5290271043777466, 0.7027365565299988, -0.5756184458732605, -0.4250229597091675, 0.47578614950180054, -0.13210555911064148, -0.7972651124000549, -0.6073368191719055, -1.1084352731704712, -0.4989739656448364, 0.9050278663635254, -0.39954447746276855, -0.2730867564678192, 0.027577374130487442, 1.3090931177139282, 1.0152854919433594, 0.31431296467781067, -0.025412021204829216, -0.3166111409664154, 1.7717111110687256, -0.5923875570297241, -1.0157103538513184, 0.2275962233543396, -0.0003988161915913224, -0.5963021516799927, 0.6979376673698425, 0.0805090069770813, -1.4409351348876953, -0.07206300646066666, 0.02475081756711006, -0.7592126727104187, -0.8558957576751709, -2.101126194000244, -1.275228500366211, 0.6335906386375427, 1.4355448484420776, 0.23046056926250458, 0.2868683338165283, -0.47815918922424316, -0.12200410664081573, 0.060654766857624054, 0.6913900375366211, -0.1481492519378662, -0.5766967535018921, -1.7761809825897217, -1.3823184967041016, 0.047880057245492935, -0.38811612129211426, -0.14738638699054718, -0.8027458786964417, 0.254816472530365, 0.18630141019821167, -0.7387250661849976, -0.45820435881614685, 1.3790918588638306, -0.7956603765487671, 0.15882374346256256, -0.14708669483661652, 0.7060128450393677, -0.4544200897216797, 0.08899426460266113, 0.6802251935005188, 0.40090423822402954, 0.2437640279531479, 0.18925830721855164, 0.2647145986557007, -0.8092020750045776, -1.0110722780227661, -0.14425282180309296, -0.3160915672779083, 0.5209434032440186, -0.49124205112457275, -0.8489825129508972, 0.14233286678791046, -0.3260970413684845, 0.249819815158844, -0.8157258629798889, -0.6483451724052429, 0.01196380890905857, 0.8621967434883118, -0.39111328125, -1.0021895170211792, 0.7756805419921875, -0.49997830390930176, -0.046452369540929794, -0.8002342581748962, -0.8821114301681519, 3.0305404663085938, -1.8820521831512451, 0.37287667393684387, -1.3639236688613892, 0.35970741510391235, 0.9948405027389526, -0.2511231601238251, -0.6268669962882996, 0.2051674872636795, 0.4550727903842926, 0.15371741354465485, 0.4773173928260803, -0.14769893884658813, -0.12977881729602814, -0.24854257702827454, 0.9297481179237366, -0.3084494471549988, -0.3433958888053894, 0.06838344782590866, 0.2334052175283432, 0.01554703339934349, 0.5680050849914551, 0.026256026700139046, 0.4326668381690979, 0.022048315033316612, -0.2581077218055725, 0.9187710881233215, 0.7042726874351501, -0.12550486624240875, -0.6555158495903015, -0.7461948394775391, 0.02346009947359562, -0.2115439772605896, 1.1977612972259521, 0.2859443426132202, 0.26655563712120056, -0.4475787281990051, -0.016130780801177025, -0.10885518044233322, 0.45654940605163574, -0.11492833495140076, 0.45961248874664307, -0.21908913552761078, -1.2271476984024048, 0.20267702639102936, -0.5401042103767395, -0.06989271938800812, -1.4513773918151855, 0.12782397866249084, 0.21142220497131348, -0.07760240882635117, 0.7601805329322815, -0.6948214769363403, -0.2493639439344406, 0.5329239964485168, 0.4582424461841583, 0.6758750677108765, 0.5219386219978333, -0.2971523702144623, 0.413573294878006, -0.3076927661895752, -1.2051730155944824, -0.618185818195343, -1.313391089439392, 0.20903410017490387, 1.59833824634552, -0.5244466662406921, 0.4592876136302948, -1.0044270753860474, 0.24508558213710785, 0.008018432185053825, -0.2041514813899994, 0.09878572821617126, 1.1631689071655273, -0.6924760341644287, 0.6482658982276917, 0.32016855478286743, -1.4660680294036865, -1.2020905017852783, -0.3131136894226074, -0.6145848035812378, -1.0816839933395386, 0.8117133378982544, -0.8840774893760681, 0.6194626092910767, -1.0709021091461182, 0.2958146631717682, 0.036348242312669754, -0.1874314546585083, -0.3915102183818817, 1.4815983772277832, 0.30660632252693176, 0.17145752906799316, 1.476003885269165, -0.5813527703285217, -0.7610491514205933, 0.7194108366966248, -0.4705764651298523, -0.8842334747314453, -0.6255180239677429, 0.2735408842563629, -0.18214456737041473, 0.1366116851568222, -1.142386794090271, -0.6795657873153687, 1.3491066694259644, 0.9277359843254089, 0.09369117766618729, -0.048872772604227066, 0.0991845652461052, 1.3950093984603882, 0.5855334401130676, -0.5420987606048584, -0.11156035214662552, -0.39814385771751404, 1.8859761953353882, -0.3853720724582672, -0.7157602310180664, -0.08617398887872696, -0.09931660443544388, -1.0281615257263184, -0.14328990876674652, 0.1965899020433426, -1.7547416687011719, -0.10714583098888397, -0.23567485809326172, -0.9585762619972229, -0.9873066544532776, 0.5038396716117859, -0.9783104062080383, 0.4433158338069916, 0.5632025003433228, -0.015592479147017002, 0.8196148872375488, -0.12004958093166351, 1.583242416381836, 0.07747096568346024, 1.1145968437194824, -0.8389040231704712, -0.08152105659246445, 0.6859714984893799, 0.20189405977725983, 0.40858566761016846, 0.764551043510437, -0.23110945522785187, -0.43054890632629395, 0.22748444974422455, -0.601534366607666, -1.3890241384506226, 0.3194039762020111, 0.7249466180801392, 0.7248018383979797, 0.8059296011924744, 0.21156176924705505, -0.5539878010749817, -0.8488272428512573, -0.03332073986530304, -0.0433940626680851, 0.30902647972106934, 1.6614272594451904, -0.7433032393455505, -0.516998827457428, 0.35457843542099, 0.27421995997428894, 0.9356375932693481, -0.2298317849636078, -0.6248804330825806, 0.6541277170181274, -0.7712226510047913, 0.5802141427993774, 0.30191099643707275, -0.7428648471832275, 0.42680057883262634, 0.8697571158409119, -1.019472360610962, -0.3122612535953522, -0.2151002585887909, 0.12015033513307571, 0.32372209429740906, -0.9526033401489258, -0.2919825613498688, 0.10296471416950226, -1.0545594692230225, 1.4757111072540283, 0.9018316864967346, -0.6170496344566345, 0.4120488166809082, -0.9203808903694153, -0.9130358099937439, 0.2719399929046631, 0.5802667737007141, 0.11541514843702316, -0.02729901485145092, -0.148868128657341, 0.6599346399307251, -0.020937876775860786, 0.2873126268386841, 0.3878220021724701, -1.265730381011963, -0.5855791568756104, -0.05415172502398491, -0.21798324584960938, 0.4742127060890198, 0.039977919310331345, 0.6527791023254395, 0.48947781324386597, -0.9669506549835205, 0.23105743527412415, 1.098773717880249, -1.194017767906189, 0.768057107925415, -0.39041486382484436, -0.6216269135475159, 0.044465791434049606, -0.8060603141784668, 0.5387252569198608, -0.6359670758247375, 0.6937092542648315, -0.6061210632324219, 0.26380792260169983, 0.4522480070590973, -0.4958653151988983, 0.16821181774139404, 0.26336026191711426, -0.9615562558174133, 0.4754829704761505, -0.8897107839584351, -0.48891323804855347, -0.8485463261604309, 1.075941562652588, -0.22908523678779602, 0.7671955823898315, 1.8688573837280273, -0.39637327194213867, -0.17624294757843018, -1.1456108093261719, -0.44433432817459106, -1.0889668464660645, 0.6119230389595032, -0.38300397992134094, 0.18323494493961334, -0.18541206419467926, 1.4478486776351929, 0.9060835838317871, -0.08783753216266632, -0.461783230304718, 0.2981315851211548, 0.6336830258369446, 0.9178000688552856, 0.34047412872314453, -0.07195205986499786, -1.386860966682434, -1.2109018564224243, 0.15066473186016083, -2.125276803970337, -0.19104976952075958, 0.04293537512421608, -1.2501555681228638, -0.37816745042800903, -0.040044743567705154, -0.9946244955062866, 0.08608819544315338, 0.6057041883468628, 0.7044236063957214, -0.771144449710846, 1.62156081199646, -0.008121920749545097, -1.0556974411010742, 0.2255217730998993, 0.5449025630950928, -2.685809373855591, 0.5684780478477478, 0.045852359384298325, -1.0484251976013184, -0.13192535936832428, 0.3089026212692261, -0.17288774251937866, 0.20547893643379211, 0.2112881988286972, -0.0814422070980072, 0.22139960527420044, 0.10862074792385101, 0.7060778737068176, -0.43682417273521423, 0.3257286250591278, 1.3148168325424194, 0.378383994102478, 1.819079041481018, 1.80976140499115, 0.9714438319206238, -0.2939356863498688, -1.2975715398788452, 0.2542087137699127, 0.3753233551979065, -0.6157495975494385, -0.8012416958808899, -0.988561749458313, -0.05545604228973389, -0.49365150928497314, -0.097447969019413, -0.024867314845323563, 0.3881341516971588, 0.07357821613550186, -0.4793437719345093, -1.3183197975158691, -1.0518569946289062, -0.048807669430971146, -1.0476760864257812, -0.26308131217956543, -7.461160659790039, -0.6967839598655701, -0.22551816701889038, -0.3585101068019867, 0.239679217338562, -0.8247040510177612, 0.5059689283370972, -1.0013221502304077, 0.7867719531059265, -0.3657858967781067, -0.1495693325996399, 0.2919842600822449, -2.1562650203704834, -0.7584871649742126, 2.274501323699951, -0.6095060110092163, 0.6461572051048279, -0.3417162597179413, -0.44711440801620483, -1.4356563091278076, 0.11340402811765671, 0.2107246071100235, -0.9014411568641663, 0.46831780672073364, 0.6528352499008179, 0.8700406551361084, -0.6140130162239075, -0.31777074933052063, -0.2698373794555664, -0.24685855209827423, -1.0576395988464355, -0.22036665678024292, -0.47029340267181396, 1.046412706375122, 1.0529338121414185, -0.6511678695678711, 1.003685712814331, 0.680594265460968, -0.5022322535514832, -0.19590231776237488, 0.4347270727157593, 0.7365618348121643, -0.17668816447257996, -1.0992960929870605, -0.4351286292076111, -0.15324974060058594, -1.2883034944534302, -0.4638744592666626, -1.5763466358184814, 0.8288552165031433, 1.116980791091919, -0.5145336389541626, -0.04057103022933006, 0.11439836770296097, -0.01808900199830532, 0.2604970633983612, -0.804547905921936, 0.4256528615951538, -0.26236093044281006, 0.45516645908355713, -0.5861867070198059, -0.38284939527511597, -0.6035341620445251, -0.14485257863998413, -1.1034977436065674, 0.7129601836204529, 0.45305779576301575, -0.3193283677101135, -0.12639982998371124, -0.45946404337882996, -0.7832921147346497, -0.8684707880020142, -0.6161108613014221, -0.380024790763855, -0.25054943561553955, -0.5086340308189392, 0.5312177538871765, 1.074652910232544, -0.32187506556510925, 1.3932509422302246, -0.4271971583366394, -1.0281312465667725, -0.07087398320436478, 1.5339252948760986, 0.960052490234375, 0.006993448361754417, -0.10500070452690125, -0.129349023103714, 0.3146916925907135, 0.5975736975669861, 0.19031882286071777, 0.4280666410923004, -1.0546585321426392, -0.36937636137008667, 0.20545123517513275, -0.7986820936203003, -0.3790777623653412, -1.111997365951538, 0.530552327632904, 0.49458545446395874, -0.9574654698371887, -0.1690250188112259, -0.282439261674881, 0.24658474326133728, 0.24800001084804535, -0.021287504583597183, -0.5125705003738403, 0.20384164154529572, -0.4023109972476959, 0.6587326526641846, 0.09455215185880661, 0.03350411728024483, -1.1725400686264038, -1.1892036199569702, -0.16872538626194, 1.2427234649658203, -0.35574543476104736, 1.4419190883636475, -0.8128268718719482, 0.14566583931446075, -1.1607953310012817, -0.035321660339832306, 0.2167966365814209, 0.3210446834564209, 0.8365370035171509, 0.39903634786605835, -1.152878761291504, -1.2222509384155273, -0.3362031579017639, 0.7810443043708801, 0.005532148294150829, 0.21503281593322754, -0.5655626058578491, 0.4134557843208313, 0.6135542988777161, -0.5293217301368713, 0.760024905204773, 0.8190127611160278, 0.022097541019320488, 1.5877326726913452, 1.2715120315551758, 0.46940740942955017, 1.0111582279205322, -0.4285793900489807, 0.0832378938794136, -0.2874486446380615, -0.07728367298841476, -0.1109873354434967, -0.49405717849731445, -1.0249780416488647, 0.7135817408561707, -0.203378364443779, 0.594576895236969, 1.0282946825027466, 0.06542286276817322, -0.4993554353713989, -0.4704475402832031, 0.10722024738788605, -0.24818626046180725, -0.860450029373169, -0.3515697717666626, -0.0904090628027916, 0.2209605872631073, 0.08570858091115952, -0.05616001784801483, -1.737644910812378, -0.42954471707344055, -0.8136170506477356, 0.030619123950600624, -0.5889593362808228, -0.576582133769989, 1.8023865222930908, -0.11261121928691864, -0.3909991681575775, 0.5633851885795593, 0.2490411102771759, 0.4483650028705597, 0.8112252950668335, -0.7751783728599548, -1.0259438753128052, -0.971022367477417, -0.6080906987190247, -0.4034733474254608, 0.21603384613990784, -0.9109790921211243, 1.5692058801651, 0.4841160774230957, -0.5878286957740784, 0.6829214096069336, -0.7607601284980774, 0.0701829344034195, -0.2155298888683319, -0.46620410680770874, -1.3035565614700317, -0.5544558167457581, 1.1997337341308594, 0.7563592791557312, 0.18871822953224182, 1.2309777736663818, -0.043066371232271194, -0.18809032440185547, 1.6188726425170898, 0.4032517671585083, 0.7203767895698547, -0.27407169342041016, -0.6110049486160278, -0.16699494421482086, -0.28834766149520874, 0.0939546599984169, 1.2745305299758911, 0.3277570307254791, -1.0773749351501465 ]
1,016
0704.1018
Yutaka Ohno
Yutaka Ohno, Shinya Iwasaki, Yoichi Murakami, Shigeru Kishimoto, Shigeo Maruyama, and Takashi Mizutani
Environmental dielectric screening effect on exciton transition energies in single-walled carbon nanotubes
null
null
null
null
cond-mat.mtrl-sci cond-mat.other
null
Environmental dielectric screening effects on exciton transition energies in single-walled carbon nanotubes (SWNTs) have been studied quantitatively in the range of dielectric constants from 1.0 to 37 by immersing SWNTs bridged over trenches in various organic solvents by means of photoluminescence and the excitation spectroscopies. With increasing environmental dielectric constant ($\epsilon_{\rm env}$), both $E_{11}$ and $E_{22}$ exhibited a redshift by several tens meV and a tendency to saturate at a $\epsilon_{\rm env} \sim 5$ without an indication of significant ($n$,$m$) dependence. The redshifts can be explained by dielectric screening of the repulsive electron-electron interaction. The $\epsilon_{\rm env}$ dependence of $E_{11}$ and $E_{22}$ can be expressed by a simple empirical equation with a power law in $\epsilon_{\rm env}$, $E_{\rm ii} = E_{\rm ii}^{\infty} + A\epsilon_{\rm env}^{-\alpha}$. We also immersed a sample in sodium-dodecyl-sulfate (SDS) solution to investigate the effects of wrapping SWNTs with surfactant. The resultant $E_{11}$ and $E_{22}$, which agree well with Weisman's data [Nano Lett. {\bf 3}, 1235 (2003)], are close to those of $\epsilon_{\rm env}$ of 2. However, in addition to the shift due to dielectric screening, another shift was observed so that the ($2n+m$)-family patterns spread more widely, similar to that of the uniaxial-stress-induced shift.
[ { "created": "Sun, 8 Apr 2007 14:33:36 GMT", "version": "v1" } ]
2007-05-23
[ [ "Ohno", "Yutaka", "" ], [ "Iwasaki", "Shinya", "" ], [ "Murakami", "Yoichi", "" ], [ "Kishimoto", "Shigeru", "" ], [ "Maruyama", "Shigeo", "" ], [ "Mizutani", "Takashi", "" ] ]
07
[ 0.4331057667732239, 0.2995527684688568, -0.08408437669277191, 0.11108370870351791, -0.782886803150177, -0.2504301071166992, -0.061720579862594604, 0.8992158770561218, 0.6699786186218262, -0.5351493954658508, -0.7810190916061401, -0.4700554609298706, 0.8206862807273865, -0.8306081295013428, -1.1752376556396484, -0.1432969570159912, 0.07793953269720078, -0.9049029350280762, 0.5663571953773499, 0.48813799023628235, 0.03495793789625168, -0.9120374917984009, -0.4514329135417938, -0.6672163605690002, 0.6973386406898499, -1.0067365169525146, -1.4034926891326904, 0.41222313046455383, 0.09102046489715576, -0.40697720646858215, 0.44912850856781006, -0.10330314189195633, 0.30860286951065063, 0.5310593843460083, -1.4918032884597778, -1.0295050144195557, -0.44198209047317505, -0.6593433618545532, -0.4387833774089813, -1.0416759252548218, 0.1344573050737381, -1.1652759313583374, 0.0012919147266075015, 0.7262417674064636, -1.0729804039001465, 0.3942781388759613, 0.3086925446987152, 0.0068177636712789536, -0.8210009336471558, -0.23370297253131866, 1.2782776355743408, 0.3712248206138611, -0.31677180528640747, -0.31691068410873413, -0.4247754216194153, 0.14170166850090027, -0.6506550908088684, 0.7222390174865723, -0.36307018995285034, -1.7343851327896118, -0.11538602411746979, 0.6458041667938232, -0.21198537945747375, -0.12385005503892899, 0.5797384977340698, 0.31161561608314514, -0.4635235369205475, -0.35401013493537903, -0.1495513617992401, -0.2311325967311859, -0.8232117891311646, -0.8746353387832642, 2.1441376209259033, -0.3009500801563263, -0.21026067435741425, 0.4716070890426636, -1.977759599685669, -0.3647913336753845, 0.25429821014404297, -0.04797487333416939, -0.6949229836463928, 0.5315566062927246, 0.29583480954170227, -0.8386582732200623, 0.2611795961856842, 0.4306741952896118, 0.4645577669143677, 0.0007211848860606551, 0.14405588805675507, -0.3990820348262787, -0.0362120158970356, -0.9930039644241333, 0.19552835822105408, -0.07735282927751541, -0.8754626512527466, 0.23780587315559387, 0.427616685628891, 0.6716462969779968, 0.8888196349143982, 2.423520803451538, -0.3408922255039215, 0.0011311782291159034, -0.07308295369148254, 1.1573355197906494, 0.18074752390384674, 1.0392587184906006, -1.6332179307937622, -0.36875060200691223, -0.4486275911331177, -0.16802878677845, -0.5916416049003601, 0.3120143711566925, -0.4171357750892639, -0.05335966497659683, 0.757632315158844, 1.9393998384475708, 0.22383517026901245, 0.287371426820755, -0.054839689284563065, -0.07316524535417557, -0.2214985489845276, -0.08717698603868484, 1.6079602241516113, -0.17017850279808044, -0.5100281834602356, -0.5319191813468933, -0.5674088001251221, -0.1674642711877823, 0.5006245374679565, -0.3807497024536133, -0.9654768705368042, -0.6175091862678528, -0.45574599504470825, 1.3140772581100464, -0.9174818992614746, -0.17226380109786987, 0.060949474573135376, 0.6231935024261475, 0.5761783123016357, -0.42827361822128296, 0.30360910296440125, 0.4456842541694641, -0.01546062994748354, 0.8356786966323853, -0.8555559515953064, -2.0847864151000977, 0.24651272594928741, -0.773658812046051, -0.3474005162715912, -0.8934544920921326, -0.9507683515548706, -1.6279782056808472, -0.5875507593154907, 0.1773323118686676, -0.28472548723220825, 0.12521874904632568, 1.2669110298156738, -0.44740018248558044, -2.164548873901367, 1.5231256484985352, -0.15094463527202606, -0.2897641062736511, -0.477752685546875, 0.8222980499267578, 0.3513857424259186, -0.3251313865184784, 0.5302024483680725, -0.25303134322166443, -0.0798039436340332, 0.6283003687858582, 0.1743927150964737, -0.8153285384178162, -0.7012025117874146, -0.08481534570455551, -0.307108998298645, 0.5764862895011902, 0.37901660799980164, -0.4534962475299835, -0.22167134284973145, 1.0488766431808472, -0.7922181487083435, -0.4413053095340729, -0.39704570174217224, 1.0632199048995972, 0.8369417786598206, -0.31494149565696716, 1.1117963790893555, 0.273840069770813, 0.30539101362228394, 0.7514088749885559, 0.28027456998825073, 1.0071794986724854, -1.3476879596710205, 0.16854257881641388, -0.3198498487472534, -0.03471044823527336, 0.4236815273761749, 0.598276674747467, -0.9597011208534241, 0.6489476561546326, 0.04188060387969017, 0.6164435744285583, 1.0102509260177612, 0.372774213552475, -0.5529062151908875, 0.6934040784835815, -0.27375325560569763, 1.0809916257858276, -0.699981689453125, 0.10278662294149399, 0.26697829365730286, 0.24809890985488892, -0.44172441959381104, 0.33353284001350403, 0.9675019383430481, 0.2819916009902954, 1.8927435874938965, -3.297563076019287, -0.043108515441417694, 0.6909947395324707, 0.18125398457050323, 0.1930140107870102, 0.04960876330733299, -0.7130067348480225, 0.2763625383377075, -0.6794463396072388, 0.39569681882858276, -0.4073251485824585, -0.3288612961769104, 0.35882267355918884, 0.32335251569747925, -0.3399468958377838, 0.47793227434158325, 0.47517240047454834, -0.2594316005706787, 1.6046711206436157, 0.3272353410720825, -0.17989303171634674, -0.711871325969696, -0.6713498830795288, -0.24262766540050507, 0.5970749258995056, -0.11825281381607056, -1.7453490495681763, -0.42507776618003845, 0.003527191700413823, 0.9456866979598999, 0.5670012831687927, -0.2849683463573456, -0.6174802184104919, 0.3302047848701477, -0.7037248611450195, 1.6054898500442505, -0.32254889607429504, 0.15344297885894775, 0.13398580253124237, 0.9428942799568176, -0.8007286787033081, 1.6928874254226685, 1.592786431312561, 0.4333373010158539, 0.2612795829772949, 0.6095719933509827, -1.2200284004211426, -1.8958770036697388, 0.47527793049812317, 0.07678855210542679, 0.7835385203361511, 0.7167957425117493, -0.9185773730278015, -0.43373531103134155, 0.360266774892807, -0.8111200928688049, 1.3123975992202759, 1.4179738759994507, -0.176815465092659, -0.7854806184768677, -0.09810023009777069, -0.44322991371154785, -0.4082786440849304, 0.7490396499633789, -1.1185846328735352, -0.23786431550979614, 0.23692917823791504, 1.0049420595169067, -0.10330495238304138, 1.078495979309082, 1.2316901683807373, -2.7579596042633057, -0.04642469063401222, 0.029864110052585602, 0.24830861389636993, -1.5750701427459717, 0.22434988617897034, 0.13817474246025085, -0.22581835091114044, 0.018208757042884827, -0.4227728545665741, -0.15405404567718506, -0.5595858693122864, 1.0097872018814087, 0.04989923909306526, 0.22793732583522797, -0.4416911005973816, 0.642824113368988, -0.5903302431106567, -0.44236212968826294, -0.3000373840332031, -1.028123140335083, -0.21211707592010498, -0.19398359954357147, 0.3606189489364624, -0.5857215523719788, 1.1660521030426025, 1.3708609342575073, 1.4547024965286255, 1.0962364673614502, 0.8743867874145508, -0.35735416412353516, -0.6378053426742554, 0.8397128582000732, 0.12273331731557846, -1.2479099035263062, 0.3842487037181854, -0.5333446264266968, -0.5237388610839844, 0.04250267520546913, -0.750815212726593, 1.387220859527588, -1.130311131477356, -0.11190211772918701, 0.7088500261306763, 0.5326483249664307, -0.027310345321893692, 0.6959912776947021, -0.7278480529785156, -0.270450621843338, -0.7436830401420593, 0.8077742457389832, 0.5083655118942261, -0.08356590569019318, 0.6209807991981506, 0.3011212646961212, 0.2149207592010498, 0.31653541326522827, -1.296742558479309, -0.2003568559885025, 0.81492018699646, 0.8378370404243469, -0.6119892597198486, -1.0997577905654907, 0.36806783080101013, 0.31930792331695557, -2.1915738582611084, 0.42612630128860474, 0.5906124114990234, 0.47924885153770447, -0.03537992388010025, 0.3983367383480072, -0.18931232392787933, -0.15542291104793549, -0.8457310795783997, -0.6577916741371155, -0.4865841567516327, -0.3378334641456604, -0.5547758340835571, -0.053150419145822525, -0.2903948426246643, 0.5562140941619873, 0.5566608309745789, -0.28777509927749634, 0.9731327295303345, 0.915479302406311, 0.13719192147254944, 0.0752996876835823, 0.7756587862968445, 0.08312775939702988, 0.6269431114196777, -0.19401748478412628, -1.387771487236023, -0.2661988139152527, 0.28609758615493774, 1.6235073804855347, 1.0498968362808228, 0.08628278970718384, 0.9284371733665466, -0.15362848341464996, 0.476186066865921, -1.3295706510543823, 0.30731046199798584, -0.3341636061668396, -0.36575838923454285, -0.07631009817123413, -1.3668590784072876, -1.0481945276260376, 0.5777420401573181, 0.608166515827179, 0.19161705672740936, -0.9705573320388794, 0.6051614880561829, -0.19121670722961426, 1.1515533924102783, 0.1257338523864746, 0.04511622339487076, -0.0818004384636879, 0.5421901941299438, 0.6685689687728882, 0.5156623125076294, -0.7452974319458008, 0.6835454702377319, -2.084580183029175, -0.7678189277648926, -0.22182020545005798, -1.384488582611084, -1.5805628299713135, 0.15380018949508667, 0.82804274559021, 0.48263779282569885, 0.5766761302947998, -0.3378821611404419, 0.5351850390434265, -0.8641908764839172, 0.12067810446023941, 0.43018269538879395, 0.7527331709861755, -1.2744817733764648, 0.20761249959468842, -0.08131816238164902, 0.21860885620117188, 0.1374039202928543, 0.3449878394603729, 0.739281952381134, 1.138766884803772, 0.6805360317230225, -0.19178834557533264, -1.3417181968688965, 0.08131413906812668, -0.5339688658714294, 0.12245768308639526, 1.1557422876358032, -0.15213659405708313, -0.31733542680740356, 0.008357389830052853, -1.5589196681976318, -0.49827873706817627, -0.3854873776435852, -0.6565566062927246, 1.284616231918335, -0.1629134714603424, 0.07612135261297226, -1.1626617908477783, 0.7309907674789429, -0.6758499145507812, -0.45630839467048645, -0.5838878154754639, -0.7485074996948242, -1.3408147096633911, -0.015021909028291702, -1.0108530521392822, -0.03513246029615402, -0.39402657747268677, -0.620919406414032, 0.3328110873699188, -0.22363966703414917, -1.0348997116088867, -0.050743468105793, 0.9862377047538757, -0.5922953486442566, -1.0490931272506714, 0.30512356758117676, 1.2982302904129028, -0.3579063415527344, -0.6388015151023865, 0.3147779703140259, 0.06911549717187881, -0.3440098166465759, 0.2807619869709015, 0.6528423428535461, -0.46696823835372925, 0.4425261616706848, -0.359615683555603, 0.2284756302833557, -0.044116780161857605, -0.6651247143745422, 0.026986021548509598, 0.4913448393344879, -0.4344749450683594, -0.7596136927604675, -0.004972287453711033, 1.0273845195770264, 0.8459137678146362, -0.8179864287376404, 0.6897382140159607, -1.345180630683899, 1.3645663261413574, -0.02345201000571251, -0.31390446424484253, -0.834358811378479, -0.6060947179794312, -0.08852126449346542, 0.3231239318847656, -0.8402064442634583, 0.009748507291078568, -0.14920158684253693, -0.08148910105228424, -0.5859192609786987, 1.532685399055481, -0.556050181388855, 0.039612457156181335, 0.6482347249984741, 0.5897068381309509, -1.0637844800949097, -0.7526800632476807, 0.18146374821662903, -0.8860394954681396, -0.8084808588027954, -1.593186855316162, -3.566035270690918, 0.05826892331242561, -0.9312833547592163, 0.12684975564479828, -0.29835009574890137, -0.16952089965343475, 0.49998611211776733, -0.6106826663017273, -0.18005576729774475, -0.7584628462791443, -0.6613519787788391, 0.5789933800697327, 1.213128924369812, -0.43599602580070496, 0.6354494094848633, 0.6399739980697632, 0.5415409803390503, -0.09515354037284851, -0.08980928361415863, 0.4735279977321625, 0.6428591012954712, -1.379500150680542, 0.020015569403767586, -0.5904361009597778, -1.0711185932159424, -0.015639934688806534, -1.0296661853790283, -0.12436951696872711, -0.48693448305130005, -1.3239641189575195, 0.19526025652885437, 0.21818143129348755, 0.28329432010650635, 0.8665342330932617, -0.7847495079040527, -0.9002743363380432, -0.7395468950271606, 0.5150147080421448, 0.18442180752754211, -7.021320819854736, -0.23333200812339783, -0.7192635536193848, 0.2759348154067993, -0.5831910967826843, -1.7073280811309814, 0.4490099847316742, -0.1756553202867508, 0.060535747557878494, -0.8882787823677063, 0.019807279109954834, -0.19191119074821472, 0.4063989222049713, -0.32131427526474, -0.22493378818035126, -0.22887390851974487, 0.9992572069168091, 0.025807302445173264, -0.31578847765922546, -0.11924590915441513, 1.1738110780715942, -0.6743928790092468, 0.6418884992599487, 0.500156819820404, -0.4330313503742218, 0.9658690094947815, 0.8233981728553772, -1.4911463260650635, -1.060671329498291, 0.06972978264093399, 0.4543991982936859, 0.6416229605674744, 0.77007657289505, -0.6060867309570312, 1.998679757118225, -0.017377782613039017, 0.8994708061218262, 1.5784649848937988, 1.3006134033203125, -1.267936110496521, 0.7345433235168457, 1.3110060691833496, 0.7086032032966614, -1.3543888330459595, -0.33695217967033386, -0.9869261384010315, -0.10433097928762436, -0.6399659514427185, 1.1313917636871338, 0.1271059513092041, 1.1884311437606812, -0.15161316096782684, 0.7978211641311646, 0.4439072608947754, -0.278375506401062, 0.5811508893966675, -0.2919788658618927, 0.12872274219989777, -0.08173934370279312, -0.4370407462120056, 0.3565499484539032, -0.6846684813499451, 0.030812811106443405, 0.03287636488676071, 0.6724017858505249, 0.11862660199403763, 0.6382726430892944, -0.10557881742715836, -0.14253073930740356, 1.281327486038208, 0.9682093262672424, -0.4240396022796631, 0.3699215054512024, 0.9118092060089111, 0.5627884268760681, -0.32758110761642456, -0.39189064502716064, -0.7136235237121582, 0.3727385699748993, -0.48884326219558716, 0.1551661342382431, 0.44427549839019775, -0.12853386998176575, 0.1068296954035759, -0.5377705097198486, 0.34502512216567993, 0.07335534691810608, -0.9844972491264343, -0.2689771354198456, -0.02547553740441799, -0.500690221786499, -0.09499054402112961, -0.7774934768676758, -0.5578144788742065, 0.4574034512042999, 0.6616565585136414, -1.1810059547424316, -2.22440505027771, -0.5207648277282715, 0.04466469958424568, 0.8005175590515137, -0.2842961251735687, -0.08888981491327286, 0.793142557144165, 1.0723797082901, 1.2002387046813965, -1.6054719686508179, 0.0011377471964806318, 0.8084642291069031, 0.1889575719833374, 0.9213641285896301, 0.3058488667011261, 0.014996730722486973, 0.8163886666297913, -0.343408465385437, -0.19119398295879364, -0.19132477045059204, -0.3133320212364197, -0.6215394735336304, 0.8707922101020813, -0.7026828527450562, 0.47459182143211365, -1.168997049331665, 0.11350952088832855, -0.5250399708747864, -0.4022518992424011, 1.616309642791748, -1.0849758386611938, -0.9438351988792419, 0.6354027986526489, -0.2178982049226761, -1.3475420475006104, 0.25585827231407166, 0.15120577812194824, -0.0784112885594368, 1.2919450998306274, -0.4983650743961334, -0.06111448258161545, -1.0252283811569214, 0.0582645982503891, 0.4754126965999603, 0.26352518796920776, -0.4585281014442444, -0.2844604253768921, 0.7289877533912659, -0.06265230476856232, -0.07642154395580292, 1.066201090812683, -0.9198928475379944, -0.7139057517051697, -0.15324431657791138, -0.5906772017478943, -1.2698569297790527, 0.5610494613647461, -0.3698597848415375, 0.42456790804862976, -0.5505407452583313, 0.8177571892738342, -1.31722092628479, -0.10093771666288376, 0.014613407664000988, -1.4403468370437622, -0.9686657786369324, -1.1530340909957886, -1.343063473701477, 0.0723876878619194, 0.3862101435661316, 0.850640594959259, -0.33083996176719666, -0.031108999624848366, 0.3920503556728363, 0.003402905771508813, -0.44728991389274597, -0.4188275933265686, -1.2210997343063354, 0.4651550054550171, -0.5032023787498474, -0.019701125100255013, 0.842085599899292, 1.135303020477295, 0.6653607487678528, 0.46515730023384094, 0.07636269927024841, 0.07009534537792206, -1.4313185214996338, 0.22040040791034698, -0.6673793196678162, 0.4891725778579712, -0.37285101413726807, 0.5444150567054749, -0.08301135152578354, 0.2208305150270462, -0.11347492784261703, 0.2596413195133209, -0.3179607689380646, -1.2424815893173218, -0.34495627880096436, 0.4578448534011841, 0.010891619138419628, -0.08851172029972076, -1.6414445638656616, 0.6628704071044922, 0.4186082184314728, 0.34821686148643494, 0.6446422934532166, 0.7765895128250122, -0.14314132928848267, -0.42983582615852356, -0.3800174593925476, 0.5639071464538574, 0.7379751205444336, -0.36862096190452576 ]
1,017
0704.1019
Zinaida Lykova A.
Zinaida A. Lykova (Newcastle University, England)
Cyclic cohomology of certain nuclear Fr\'echet and DF algebras
Propositions 4.2 and 4.3 have been added and some minor mistakes have been corrected. 19 pages
null
null
null
math.KT math.FA
null
We give explicit formulae for the continuous Hochschild and cyclic homology and cohomology of certain topological algebras. To this end we show that, for a continuous morphism $\phi: \X\to \Y$ of complexes of complete nuclear $DF$-spaces, the isomorphism of cohomology groups $H^n(\phi): H^n(\X) \to H^n(\Y)$ is automatically topological. The continuous cyclic-type homology and cohomology are described up to topological isomorphism for the following classes of biprojective $\hat{\otimes}$-algebras: the tensor algebra $E \hat{\otimes} F$ generated by the duality $(E, F, < \cdot, \cdot >)$ for nuclear Fr\'echet spaces $E$ and $F$ or for nuclear $DF$-spaces $E$ and $F$; nuclear biprojective K\"{o}the algebras $\lambda(P)$ which are Fr\'echet spaces or $DF$-spaces; the algebra of distributions $\mathcal{E}^*(G)$ on a compact Lie group $G$.
[ { "created": "Sun, 8 Apr 2007 09:24:40 GMT", "version": "v1" }, { "created": "Wed, 12 Sep 2007 09:15:20 GMT", "version": "v2" } ]
2007-09-12
[ [ "Lykova", "Zinaida A.", "", "Newcastle University, England" ] ]
07
[ 0.011559348553419113, -0.6221179962158203, 1.3138749599456787, -0.3207826018333435, 1.062762975692749, -0.7388977408409119, -0.3842739164829254, -0.18043164908885956, -1.522605538368225, 0.5463724136352539, 0.5535317063331604, 0.4578224718570709, -0.14639075100421906, 0.3053003251552582, -0.4769282341003418, -1.0683473348617554, -0.11721105873584747, -1.0983458757400513, -1.5832618474960327, 0.6049100160598755, 0.10785724222660065, 0.5966495871543884, -0.617190957069397, -1.4518723487854004, 0.09266920387744904, -0.26944413781166077, -0.4959215819835663, -0.5257235169410706, -0.23938994109630585, -0.33253008127212524, 0.5114802122116089, 0.08947950601577759, -1.019266128540039, -0.08436509966850281, -0.5950470566749573, -0.33351007103919983, -0.07697530835866928, -1.0394560098648071, -1.595906376838684, -0.3882957100868225, -0.5341630578041077, 0.45848938822746277, -0.23175792396068573, -1.5165596008300781, -1.6980252265930176, -1.8386869430541992, 2.0589871406555176, -0.44012466073036194, -0.5353065729141235, 0.11359187215566635, 0.5058983564376831, 0.8323678374290466, 0.6089671850204468, -1.2022603750228882, -0.604544460773468, 1.3357466459274292, 1.2442184686660767, -0.4959075152873993, 0.8102985620498657, -0.9453276991844177, -0.7951478362083435, 0.575456976890564, -0.041007280349731445, 1.0456640720367432, -0.9055401682853699, 0.4200993776321411, 0.2033252865076065, 0.08424363285303116, 0.3322449028491974, 0.7355148792266846, -0.5338689088821411, -0.45088088512420654, -0.15988662838935852, -0.24968375265598297, 0.39165979623794556, -0.148252472281456, 1.4012573957443237, 1.2663922309875488, 1.114335536956787, -0.7624441981315613, -0.19067323207855225, 1.4931604862213135, -0.36261433362960815, 1.0190361738204956, -1.0281716585159302, -1.5475152730941772, 1.567352533340454, 0.3525974154472351, -0.7815703749656677, 1.2633816003799438, 0.6191669702529907, 1.5630146265029907, -0.16006411612033844, -0.2559821903705597, 0.382500559091568, -1.6090229749679565, 0.2049967348575592, 0.2260967344045639, -0.881321132183075, -0.8169127106666565, 0.2823200821876526, 0.7009615898132324, 0.12140431255102158, -0.19447027146816254, -0.15850910544395447, -0.5667699575424194, 0.9532305598258972, -1.2547662258148193, 0.720978319644928, -0.17417684197425842, 0.6794524788856506, -0.8061211705207825, -0.28315839171409607, -0.34927085041999817, -0.7873937487602234, 0.45049795508384705, -0.5974311232566833, -0.17632722854614258, -0.18641018867492676, -1.1050066947937012, -0.6543407440185547, -0.2170385718345642, 0.7582628726959229, -0.15879109501838684, -0.27607887983322144, 0.9136330485343933, -0.4871557354927063, 0.4566378891468048, -0.27522918581962585, -0.3554868698120117, 0.4053409695625305, 0.5141351222991943, -0.27872905135154724, -0.11608737707138062, 0.337705135345459, 0.24726280570030212, -0.32649368047714233, 0.8914308547973633, 0.1277955025434494, 0.8798301815986633, -0.6342191696166992, -0.1637817919254303, 0.053675245493650436, -0.4156573712825775, 0.850403368473053, -0.4687345325946808, -0.6719453930854797, -0.4559137225151062, -0.7838189601898193, -1.1395691633224487, 0.16001255810260773, 0.20489296317100525, -0.3232768476009369, -0.7952922582626343, 0.7061355113983154, -1.3361458778381348, 0.5806736350059509, -0.21611233055591583, -1.1099244356155396, -0.593610942363739, -0.5693580508232117, -0.5419642329216003, -1.5976920127868652, -1.4453814029693604, -0.6210231184959412, -0.5547733902931213, -0.15266621112823486, 0.13643132150173187, 0.8779216408729553, 0.31356915831565857, 0.39595428109169006, 0.1341865062713623, 1.1939713954925537, -0.42982274293899536, 1.9354685544967651, -0.3586902916431427, -1.0910460948944092, 1.2089940309524536, -0.08048968017101288, -0.39137277007102966, -1.2154226303100586, -0.7261019349098206, 0.10809800773859024, 1.0283550024032593, 0.29781627655029297, 0.7320674657821655, -0.5918790698051453, -0.9967341423034668, -0.6012250185012817, -0.8531396985054016, -0.6411213278770447, -0.18478639423847198, -0.4384998381137848, -1.0700931549072266, -0.9255138635635376, -0.25546157360076904, -0.6046819686889648, 0.17853660881519318, 0.12102293223142624, -0.20258711278438568, -0.5382308959960938, -0.029810795560479164, -0.5180460810661316, 0.44646573066711426, -1.4167506694793701, 0.3835397958755493, -1.1357442140579224, -0.43731799721717834, 0.1841573268175125, 0.640856921672821, -0.9199297428131104, 0.341370552778244, 0.13975584506988525, 0.13917553424835205, 1.3838403224945068, -0.8361956477165222, 1.0136734247207642, 0.661435604095459, 0.3236117660999298, 0.20401917397975922, 0.4757102131843567, 0.9751222133636475, -0.035492125898599625, 1.2169405221939087, 0.006896494887769222, 1.313635230064392, 0.1353277564048767, -0.6917956471443176, -0.016108524054288864, -0.09031715244054794, -1.200503945350647, -0.33746057748794556, 0.9986103177070618, -0.3902185559272766, 0.2986646592617035, 1.5315600633621216, 0.2921455502510071, 0.04886115714907646, -0.9569333791732788, 1.4881163835525513, -0.910680890083313, 0.27985817193984985, -0.8791929483413696, 0.3407139480113983, -0.7002758979797363, 0.24416370689868927, -0.3948498070240021, 0.5721569061279297, -0.8513883352279663, 0.3762294054031372, 0.23487311601638794, 0.6697853207588196, -0.45275643467903137, -0.21248584985733032, -0.681003212928772, 0.42280757427215576, -0.5130251049995422, -2.200542449951172, -2.0063021183013916, 0.25805994868278503, -0.04616893082857132, -0.19165703654289246, -1.0975477695465088, 0.8234527707099915, 0.44298115372657776, 0.05663216859102249, 1.291345477104187, -0.31006675958633423, 1.1073346138000488, -0.3991815447807312, 1.463369607925415, 0.8280888795852661, 0.36078566312789917, -0.2336210310459137, -0.5255549550056458, 0.0813918188214302, -0.505131721496582, -0.44365084171295166, -1.1893872022628784, 0.2262304574251175, -0.7590364217758179, 2.0760037899017334, -1.0566788911819458, 0.3741335868835449, -0.9366960525512695, 0.350555419921875, 0.15379288792610168, -0.705778181552887, 0.04736332222819328, -0.06553194671869278, 0.5310673713684082, 0.23591171205043793, -0.028634198009967804, 0.785057008266449, -1.0111446380615234, -0.30091163516044617, -0.4425313472747803, -0.5109161138534546, 1.0408680438995361, -0.27800270915031433, -1.0671566724777222, -0.07300268858671188, -0.007174212485551834, 0.23974646627902985, 0.04270247742533684, 0.16526596248149872, -0.6019805669784546, -0.11226285994052887, -0.7572449445724487, -0.3702913522720337, -0.8029723763465881, 1.1357347965240479, 0.027419183403253555, -1.6860300302505493, 0.6396850347518921, 1.344533085823059, -0.1668803095817566, -0.7003248929977417, -1.0497593879699707, -0.3589511215686798, -0.1912107765674591, 0.386466920375824, 1.071556568145752, -0.1485300213098526, 0.1445014774799347, 0.8697487115859985, -0.5649175643920898, 0.9919032454490662, 0.4911172688007355, 0.0677737295627594, -0.2721608579158783, -2.0067691802978516, 1.0779402256011963, -0.19693933427333832, -0.17084388434886932, 0.3549601137638092, 0.8895229697227478, 0.545731782913208, 1.0859858989715576, 0.1566411852836609, 0.09724564850330353, -0.8686770796775818, -0.011915775015950203, -0.8638415336608887, 0.08385821431875229, -0.00969168171286583, 0.5863127708435059, 0.08118337392807007, -0.6152710914611816, 0.24014779925346375, 0.4963374137878418, -0.8711122274398804, -1.1546655893325806, 1.0144561529159546, -0.5537186861038208, 0.4920872151851654, 0.14594388008117676, -0.5796191692352295, -0.9798301458358765, 1.081926941871643, 0.8742344379425049, 0.030860481783747673, -0.03543587774038315, -1.3189152479171753, 0.9737222790718079, -0.4272750914096832, 1.044987440109253, 0.5004981756210327, 0.4424082636833191, -1.5399519205093384, -0.9424166679382324, -0.11955547332763672, -0.9427288770675659, -0.30150046944618225, -0.7510601282119751, 0.8767412900924683, -0.8163859844207764, -0.40441232919692993, -0.18962301313877106, -0.36711451411247253, 0.5289439558982849, 0.9270461797714233, -0.13209643959999084, 0.15908892452716827, 1.3996933698654175, -0.4026375114917755, -1.2306843996047974, -0.7719212174415588, -0.7664098143577576, 0.023733481764793396, -0.6484156250953674, 0.2540972828865051, 0.5871745944023132, -0.05199722200632095, -1.5206429958343506, 0.7722784280776978, -1.470694661140442, -0.6887902617454529, -0.8442710638046265, 1.815929889678955, 0.2606005072593689, -0.3451341688632965, -0.7272165417671204, 0.34605491161346436, -0.007746648509055376, 0.13158343732357025, -0.843687117099762, 0.13869503140449524, 0.3240254521369934, 0.3566579520702362, 0.046763017773628235, 1.3155468702316284, -0.7739155888557434, 0.4579225778579712, -0.5287222266197205, 0.38016170263290405, -1.2457925081253052, -0.9702547192573547, 0.7106103897094727, -0.6729094386100769, 0.12836328148841858, -0.29294392466545105, 0.4932232201099396, 0.7864063382148743, 0.6824177503585815, 0.854314386844635, -1.0998281240463257, -0.5891732573509216, -1.402823567390442, 0.4971122145652771, -0.6429269909858704, -0.1836344450712204, -0.389492928981781, 0.3205152153968811, -0.032585445791482925, 0.7082370519638062, -1.0989949703216553, 0.44608208537101746, -0.3582170307636261, -0.3942287862300873, -1.3792999982833862, 0.9519895315170288, -0.812390923500061, 1.1510765552520752, 0.20027785003185272, -0.7040659189224243, 0.25425076484680176, 1.0337746143341064, 0.5178479552268982, 0.4119640290737152, -0.5131939649581909, 0.02832880988717079, 1.0751649141311646, -1.1427839994430542, -0.24036069214344025, -0.457623690366745, -0.5572625994682312, 0.2287234365940094, 1.0469239950180054, 0.16152912378311157, -0.8638426661491394, 0.07885491102933884, -0.7857198715209961, -0.5140742659568787, 0.7653579711914062, -0.9690303802490234, 0.4517733156681061, 0.05140044912695885, -1.2429704666137695, 1.8456931114196777, 1.3682959079742432, -0.1799478679895401, -0.18756268918514252, -0.07321251183748245, 0.013657907024025917, -1.4496229887008667, -0.6032973527908325, 1.5513527393341064, 0.36045753955841064, 1.099007248878479, 1.9158532619476318, -0.023731496185064316, -1.1872295141220093, -0.10257645696401596, -0.5284586548805237, 0.9642356038093567, -0.20401129126548767, 0.8552724123001099, -1.3036633729934692, 1.1691442728042603, 0.5219085812568665, 1.708717703819275, -0.7834866046905518, -1.1630228757858276, -0.8231658935546875, -0.19391018152236938, -1.201104998588562, -0.3580556809902191, -0.915161669254303, 0.6642307043075562, 0.09796057641506195, 0.7145300507545471, -0.7901427745819092, -1.4141736030578613, -1.841672420501709, 0.8443730473518372, -0.12116595357656479, 1.0214550495147705, -0.4114806652069092, -0.04742556810379028, -0.6061044931411743, -1.1122299432754517, 1.3413059711456299, 0.008161688223481178, -0.32588905096054077, 0.4117133915424347, -0.4851123094558716, -2.4417264461517334, -0.6394377946853638, 0.3718733489513397, -0.275247186422348, -0.5913515686988831, 0.42043834924697876, 0.20793792605400085, 1.2792495489120483, -0.22319667041301727, 0.62738436460495, -0.3379472494125366, -1.0401642322540283, 0.5976325273513794, 0.022793004289269447, 0.781241238117218, 0.6351867914199829, -0.08080112934112549, 0.07867582142353058, -0.8150014281272888, 0.4325249195098877, 0.4806530475616455, 1.412252426147461, 0.270740270614624, 0.4442306160926819, -0.6879616379737854, 0.07111340016126633, -0.879336416721344, 0.30907920002937317, -0.23898223042488098, -0.06727370619773865, 0.5788598656654358, -0.5715696811676025, 0.577770471572876, 0.02441197820007801, -0.7752377390861511, -0.6259905695915222, 0.1375613510608673, 0.681729793548584, 0.6454674601554871, -5.898134708404541, -0.6208731532096863, -0.643017590045929, 0.4133046567440033, -0.03142063319683075, -1.053449034690857, -0.38197603821754456, -1.1408380270004272, -0.1531468629837036, 0.024892697110772133, -0.321515828371048, 0.30978336930274963, -0.47007864713668823, 0.03966275230050087, -1.2027486562728882, -0.46561914682388306, -0.6385487914085388, 0.7510514259338379, 0.5994011759757996, 0.5365115404129028, -0.5880557894706726, 0.6678118705749512, 1.1936419010162354, -0.23834699392318726, 1.9784928560256958, -1.8730008602142334, -0.005921722389757633, 0.021019546315073967, -0.08304671198129654, 0.5457625389099121, -1.0980409383773804, 0.39297860860824585, 0.345558226108551, 0.3673591911792755, -0.42780426144599915, -0.38270649313926697, 0.24741607904434204, -1.0564578771591187, 0.35048773884773254, 0.04772374778985977, 0.6798871755599976, -0.909092128276825, -0.4092468023300171, -0.6584904789924622, 0.12719766795635223, -0.6031181812286377, -0.059554118663072586, 2.0574452877044678, 0.7791728973388672, 0.5016005635261536, -0.8070022463798523, 0.9325100183486938, 0.0696006640791893, 0.44094711542129517, 1.1617826223373413, -0.4540354609489441, 0.2009718269109726, -0.7392791509628296, -1.6309733390808105, -0.2012150138616562, -0.5229820013046265, -0.6763046979904175, -0.34889256954193115, 0.7283105254173279, 0.23191849887371063, -0.03003772161900997, 0.8166194558143616, 0.5659551620483398, 0.3831329941749573, 1.178640365600586, -0.3049187958240509, -0.08176957070827484, -0.7936691641807556, 0.5463790893554688, -0.5429521799087524, -0.11007659882307053, -0.9619617462158203, 0.23502130806446075, 0.3897613286972046, -0.639860212802887, -2.5651681423187256, 1.7756731510162354, -0.07161565124988556, -0.32076430320739746, -0.5574500560760498, 0.616547703742981, 0.6382869482040405, 0.2470744550228119, -0.2310141921043396, -0.06695055961608887, -0.09635499119758606, -0.08547887206077576, -0.8883920311927795, 0.13899417221546173, 1.031489610671997, -0.7466757893562317, -0.8322591781616211, 0.046294618397951126, -0.4226078391075134, 0.7167640328407288, -1.4905924797058105, -0.4321785271167755, 1.109994649887085, 0.32006922364234924, 1.1990509033203125, -0.7493958473205566, -0.6423439979553223, 0.6771386861801147, 0.16157670319080353, 0.5764550566673279, -1.0606611967086792, -0.09614142030477524, 0.008618243038654327, -0.3622312545776367, 0.4880363345146179, 1.2165181636810303, -0.7472966909408569, 0.15962427854537964, 0.8331753015518188, -0.05921347811818123, 1.4492257833480835, -0.43510738015174866, 0.2200033813714981, -0.023691194131970406, 0.736585795879364, 0.808573842048645, -0.9667012691497803, 0.3814197778701782, -0.31899288296699524, -0.13697311282157898, 1.1854846477508545, 1.7030885219573975, -1.0171921253204346, -0.17475290596485138, -0.5451335906982422, -0.06563818454742432, 0.02843335084617138, -0.3507009446620941, -1.3598436117172241, -0.4826001822948456, 0.5329576134681702, 0.6748135685920715, 0.24722160398960114, -0.7118602991104126, -0.591171145439148, -0.6324964165687561, -0.8397409319877625, -0.49035149812698364, 0.50126051902771, 1.1943668127059937, 0.3321603238582611, 0.9636195302009583, 0.8266307711601257, -0.9661408066749573, -0.134357288479805, 0.13143253326416016, -0.2748030126094818, 1.0374445915222168, -0.7656804919242859, 0.8946486115455627, 0.6042450070381165, -0.7475460171699524, 1.5398201942443848, 1.4826645851135254, 1.2958459854125977, -0.515728771686554, 0.5660739541053772, -0.5921682119369507, -0.477232426404953, -0.26302218437194824, 0.23435841500759125, 0.30789798498153687, 0.17128466069698334, 0.7360660433769226, 0.36929887533187866, 0.842959463596344, -1.1757868528366089, 0.5047948956489563, 0.8424016237258911, -0.9409657120704651, 0.28371462225914, -0.42229342460632324, -0.1665707677602768, 0.22289104759693146, 0.4463118016719818, 1.7479127645492554, 0.4047596752643585, 0.20284217596054077, 0.18377965688705444, -0.6163007616996765, 0.1356167495250702, 0.07698488235473633, -0.6105814576148987, 0.49454382061958313, -0.17639313638210297, 0.8642247915267944, -0.25790345668792725, 0.31486207246780396, 0.5591874122619629, 0.007649448700249195, -0.1403478980064392, 0.41983115673065186, -0.7642747759819031, -0.04726870730519295, -0.5119355320930481, -0.05914166569709778, -0.40493443608283997, -0.26769447326660156, -0.19521699845790863, -0.18845978379249573, 0.2358434498310089, -0.39652472734451294 ]
1,018
0704.1020
Gyorgy Ottucsak
Andras Gyorgy, Tamas Linder, Gabor Lugosi, Gyorgy Ottucsak
The on-line shortest path problem under partial monitoring
35 pages
null
null
null
cs.LG cs.SC
null
The on-line shortest path problem is considered under various models of partial monitoring. Given a weighted directed acyclic graph whose edge weights can change in an arbitrary (adversarial) way, a decision maker has to choose in each round of a game a path between two distinguished vertices such that the loss of the chosen path (defined as the sum of the weights of its composing edges) be as small as possible. In a setting generalizing the multi-armed bandit problem, after choosing a path, the decision maker learns only the weights of those edges that belong to the chosen path. For this problem, an algorithm is given whose average cumulative loss in n rounds exceeds that of the best path, matched off-line to the entire sequence of the edge weights, by a quantity that is proportional to 1/\sqrt{n} and depends only polynomially on the number of edges of the graph. The algorithm can be implemented with linear complexity in the number of rounds n and in the number of edges. An extension to the so-called label efficient setting is also given, in which the decision maker is informed about the weights of the edges corresponding to the chosen path at a total of m << n time instances. Another extension is shown where the decision maker competes against a time-varying path, a generalization of the problem of tracking the best expert. A version of the multi-armed bandit setting for shortest path is also discussed where the decision maker learns only the total weight of the chosen path but not the weights of the individual edges on the path. Applications to routing in packet switched networks along with simulation results are also presented.
[ { "created": "Sun, 8 Apr 2007 10:15:54 GMT", "version": "v1" } ]
2007-05-23
[ [ "Gyorgy", "Andras", "" ], [ "Linder", "Tamas", "" ], [ "Lugosi", "Gabor", "" ], [ "Ottucsak", "Gyorgy", "" ] ]
07
[ -0.34053319692611694, -0.39640799164772034, 0.0026191319338977337, -0.8340626358985901, -0.5577428340911865, -0.23596221208572388, 0.14246883988380432, 0.07462751865386963, 1.5864720344543457, 0.15037201344966888, 1.6727347373962402, 0.5146885514259338, 0.30835777521133423, 0.2881937325000763, 1.6313167810440063, 0.29245951771736145, -0.8328272104263306, 0.5670696496963501, -1.0780253410339355, -1.9145662784576416, -0.6815873384475708, -1.7187825441360474, 0.7440649271011353, -0.05895448476076126, 0.47007128596305847, 0.7186241745948792, 0.1957421600818634, 0.5784454941749573, -0.23690035939216614, 0.3319929540157318, 1.1911208629608154, -0.6588740348815918, 0.5835344195365906, -1.4236183166503906, 0.6271629333496094, 0.14195162057876587, -0.01885111629962921, 0.4962190091609955, 0.03194752708077431, 0.23711158335208893, -1.0657954216003418, 0.8071774244308472, -0.2631909251213074, -0.6027693748474121, -1.9713515043258667, 1.4226300716400146, -0.4672044515609741, 0.06996257603168488, 1.039056658744812, -0.14717860519886017, 0.4327138066291809, 0.33817553520202637, 0.3251698613166809, -0.5220373868942261, 0.22516335546970367, 1.3215882778167725, 1.2616024017333984, -0.41039711236953735, -0.5694615840911865, -0.9269309639930725, -0.23777653276920319, 1.055113673210144, 0.8731498122215271, -0.2984745502471924, -0.2830926775932312, 0.3397791385650635, 0.1539541482925415, -0.06768879294395447, 0.22044789791107178, -0.4611894488334656, 0.6154703497886658, -0.8300926089286804, -0.45920974016189575, -0.4370518624782562, 1.3320674896240234, 0.5277999639511108, -0.784207284450531, -0.5769155025482178, 0.020145302638411522, 0.40234115719795227, 1.1096649169921875, -1.0536935329437256, -0.016239356249570847, 1.3673968315124512, 1.164168357849121, 0.32233452796936035, 0.30846691131591797, -0.10610629618167877, -0.642760694026947, -0.06854807585477829, 0.2727162539958954, 0.2652384042739868, -0.43603092432022095, 0.8495296835899353, -0.6065196990966797, -0.04380294680595398, -0.12193270772695541, 0.011396834626793861, 0.11370917409658432, 1.4082303047180176, 0.8994180560112, -0.86659836769104, 0.5018253922462463, 0.3555639982223511, 0.4226648807525635, -0.09478110074996948, -1.025191307067871, 0.20120301842689514, 0.690211296081543, -0.927636981010437, 0.4186252951622009, -0.11613163352012634, 0.2422812581062317, 0.4881444573402405, 0.24813269078731537, -0.8476566076278687, -0.6405521631240845, -0.4507860839366913, -2.1908528804779053, -0.5250422358512878, -0.18610520660877228, 0.639824628829956, -0.7621166110038757, 0.07925624400377274, -0.08137354999780655, -0.6601013541221619, 0.6945067048072815, -0.5014907717704773, -0.22974643111228943, -0.9514198899269104, -0.36489632725715637, -0.4465731084346771, 0.8927423357963562, -1.2733538150787354, -0.5310412049293518, -0.5947257876396179, -1.02045738697052, 0.577694833278656, -0.9594339728355408, -0.07748435437679291, 1.0708314180374146, -0.09179465472698212, 0.10764191299676895, 0.1260736584663391, -1.053451418876648, 0.6930282711982727, -0.7187667489051819, 1.1617991924285889, -0.11965424567461014, 1.1413980722427368, -0.8817787170410156, 1.072569727897644, 0.4851647913455963, -0.5147124528884888, 0.19520112872123718, 0.008383556269109249, -0.6191307902336121, 0.3598318099975586, -1.2049179077148438, -0.2556760907173157, 0.8046712279319763, -0.2295175939798355, -0.08347512036561966, 0.14529277384281158, 0.09837212413549423, -0.05889110639691353, -1.1514534950256348, 0.23536300659179688, -0.12911154329776764, -0.8191301822662354, 0.7677404284477234, -0.4366558790206909, 0.02851717546582222, 0.09509053826332092, -0.2240912765264511, 0.23710425198078156, -0.7017249464988708, -1.5161913633346558, 0.3975912034511566, 0.4508017301559448, 0.045091740787029266, 0.7770252227783203, 0.7919488549232483, 1.0890190601348877, -0.5981131792068481, -0.8947867155075073, -1.1356390714645386, 0.7452729940414429, -0.3133411705493927, -0.27189400792121887, 0.07558652758598328, -0.3582369387149811, -1.1949281692504883, 0.7217357158660889, -0.16056020557880402, 0.30959638953208923, -0.3522586226463318, -0.26499488949775696, -0.7360624074935913, -1.422623872756958, 0.5466486811637878, -0.18809185922145844, -0.7680578827857971, 0.23925310373306274, -0.8760974407196045, -0.5102899074554443, 0.4556626081466675, -0.701982319355011, 0.3234621584415436, 0.20833535492420197, 0.26516714692115784, -0.21706315875053406, -0.8557993769645691, -0.760214626789093, 0.2815346121788025, 0.502112865447998, 0.6109413504600525, 0.021548466756939888, 0.8749281764030457, -0.9213168621063232, 0.09216798841953278, -0.17824093997478485, -2.31101655960083, -0.4584766924381256, -0.6327612400054932, -0.5480188727378845, 0.2235962152481079, 0.7042985558509827, -0.5224319100379944, -1.2085202932357788, 1.3172351121902466, 0.39229485392570496, -0.970665454864502, 0.029095012694597244, -0.5278500914573669, -0.7260417342185974, -0.6130459308624268, 0.15878361463546753, 0.76194167137146, -0.958258867263794, 0.6043887734413147, -0.5317484140396118, 0.29534873366355896, 0.3057447671890259, 0.2947680652141571, -0.6618309617042542, -0.23194897174835205, 0.19444645941257477, -1.488397240638733, -0.39076197147369385, -0.2604709565639496, -0.22677835822105408, 0.1759701818227768, 0.19969668984413147, 0.24093014001846313, -0.5620619654655457, 0.4020041823387146, -0.9477927088737488, 0.20467743277549744, -0.5197393298149109, -0.37378281354904175, -1.3550000190734863, 0.6063032746315002, 1.2984505891799927, -0.03208664059638977, 0.09241434186697006, -0.8784523010253906, 0.7190408706665039, 0.15449009835720062, 0.30300623178482056, 0.624196469783783, -2.1444225311279297, -2.1041107177734375, 1.2532764673233032, -0.3227172791957855, -0.07831469923257828, 0.1436309963464737, 0.3888932764530182, 0.5381439924240112, 0.24839921295642853, -0.7909612059593201, -0.5631101727485657, -1.483466386795044, -1.5903910398483276, 0.556398332118988, -0.7288274765014648, -0.3354930281639099, 0.04876317083835602, -0.3064013421535492, -0.6741014122962952, -0.3739185333251953, 1.5661381483078003, 0.5418721437454224, 0.2673519253730774, -1.278975486755371, -0.5857093334197998, 0.2780331075191498, 0.6499617099761963, -0.16549907624721527, 1.1696395874023438, 0.42722058296203613, 0.17728565633296967, -0.4639774262905121, -0.20158672332763672, -0.14657588303089142, -0.39844846725463867, -0.9856541156768799, -2.183577060699463, -0.0787324383854866, -1.3242911100387573, 0.700922429561615, -0.037363432347774506, -1.5588597059249878, 0.3593765199184418, -0.587623119354248, -0.8113843202590942, 0.6247590184211731, -0.22285372018814087, 0.00861983560025692, -1.5695675611495972, 0.8642337918281555, -0.8538513779640198, 1.3484910726547241, 1.0545964241027832, -0.9029003977775574, -0.7379647493362427, -0.1960442066192627, 0.28107643127441406, 0.2928197383880615, 0.19025841355323792, 0.14263007044792175, -0.6674183011054993, -1.4450892210006714, 0.13529159128665924, 1.648807406425476, -0.6194229125976562, 0.7552836537361145, 0.22733387351036072, -0.13490578532218933, -0.9370852112770081, -0.26300373673439026, -0.2642969489097595, -0.6343835592269897, 1.50263249874115, -0.4708041250705719, 0.08200821280479431, 1.4440162181854248, -0.10393581539392471, -0.46055760979652405, -0.3756329417228699, 0.7963473200798035, 0.1050720289349556, 0.35049495100975037, 0.14760564267635345, -0.07489893585443497, -0.784794270992279, 0.4210388660430908, 1.1770139932632446, 0.3735475540161133, -0.2690041959285736, 0.11018069833517075, 0.5886771082878113, 0.4632914960384369, 0.12031586468219757, -0.4608303904533386, -1.021339774131775, 0.37408390641212463, -0.20123255252838135, -0.00591267179697752, -1.1118186712265015, 0.4552481472492218, 0.9979968667030334, -0.4301491677761078, 0.8985329270362854, -0.3638971149921417, 0.11741402000188828, 0.24329285323619843, -0.6704698204994202, 0.5585323572158813, -0.23015278577804565, 0.27042555809020996, 1.2579694986343384, 0.34294793009757996, -0.20953376591205597, -0.9274028539657593, -0.002573591424152255, 0.7650477886199951, 0.4516633450984955, -0.5879880785942078, -0.62161785364151, -0.0012855833629146218, -0.2898876667022705, 0.4965114891529083, -0.520891010761261, -0.8426967859268188, -1.3297009468078613, -1.1766655445098877, -0.7692463397979736, 0.6285368204116821, 0.024326348677277565, 0.4226652979850769, -0.5775167942047119, -0.6593269109725952, -0.5898383259773254, -0.12973631918430328, 0.1694796234369278, 0.3644374907016754, -1.136441946029663, 0.41013848781585693, 0.03165543079376221, 1.1433110237121582, 0.3808361887931824, 0.6954801678657532, -0.4254392385482788, 0.06514203548431396, -0.17233692109584808, -0.8579608798027039, 0.7864235043525696, -0.23301786184310913, 1.707234263420105, 0.9672701358795166, -0.42930248379707336, 0.3213777542114258, -0.5052585601806641, 0.4906519651412964, -1.5010944604873657, -0.11291134357452393, 0.4599498212337494, -1.6288459300994873, 0.06648142635822296, -1.0514330863952637, 0.9005874991416931, 0.4636390209197998, 0.2864736318588257, 0.5583938956260681, -0.14284096658229828, -1.5916366577148438, 0.4244108498096466, 0.36657992005348206, 0.2717466652393341, -1.191738247871399, 1.0745360851287842, 0.932441234588623, 0.41300904750823975, -0.5774742960929871, 0.04314405843615532, -0.8532248735427856, 0.06910399347543716, -0.5749583840370178, -0.816830039024353, 0.7063342332839966, 0.1546451896429062, 0.1984548270702362, 0.9607665538787842, 0.7386786341667175, 0.35688337683677673, -0.1403735876083374, 0.6665993928909302, -1.5089991092681885, -0.0929708257317543, -0.7649199366569519, 0.3639342188835144, -0.1874249130487442, 0.3921540081501007, 0.31458237767219543, -0.29874712228775024, -0.2106267660856247, 0.9176968932151794, 0.25690793991088867, -0.09021364152431488, 0.021284813061356544, -0.3880477547645569, -0.06070764362812042, -0.9475008845329285, 1.3362008333206177, 0.3742519021034241, -1.1938481330871582, -0.6635677218437195, -2.187074661254883, -0.007032185327261686, 1.415173888206482, -1.304466724395752, 0.6603939533233643, -0.2034890204668045, -0.15339764952659607, 0.5167809128761292, 0.2628030776977539, -0.4634222388267517, 0.01515800878405571, -0.23859307169914246, 0.27197781205177307, 0.7043713927268982, 0.4284484386444092, -0.6074510812759399, 0.6543594598770142, -0.334875226020813, 0.811862587928772, 0.19820836186408997, 1.2222031354904175, 0.30379775166511536, 0.18056532740592957, -0.27110108733177185, -1.1860164403915405, 0.27719032764434814, 0.09718791395425797, 0.2615707516670227, 0.039459552615880966, -2.439601182937622, 0.3867638409137726, 0.6113356351852417, -0.3551866114139557, 1.9812051057815552, -1.0919638872146606, -1.2685363292694092, -0.777178168296814, -0.5355688333511353, -0.36714667081832886, -3.1126933097839355, -0.22695185244083405, -0.44982782006263733, -0.19751518964767456, -0.47810301184654236, 0.44203370809555054, -0.3188348114490509, 0.16669252514839172, -0.7147272229194641, 0.8421773910522461, 0.8246212005615234, 0.710684061050415, -0.752156674861908, -0.21553654968738556, -0.45816007256507874, -0.32775014638900757, 0.6471929550170898, -0.8170293569564819, -1.1828047037124634, 1.0711497068405151, 0.7775670289993286, 0.32255613803863525, -1.078701138496399, 0.6399179697036743, -0.518753170967102, -0.5680118799209595, -0.6223013997077942, 0.364942729473114, 0.2793051600456238, 0.9216132760047913, -0.33208975195884705, 0.23469875752925873, -0.7217763066291809, 0.5054312944412231, 0.3403405249118805, 1.1019946336746216, 0.34106412529945374, -0.15214456617832184, -0.49406638741493225, -6.364694595336914, -0.41836026310920715, -0.05663346126675606, -0.210071861743927, 0.1378699690103531, 0.10038701444864273, -0.8061770796775818, 0.12533485889434814, -0.010583027265965939, -0.9086341857910156, -0.5600300431251526, 0.5073370337486267, -0.6420757174491882, 0.4002377688884735, 0.6371428370475769, -0.013525624759495258, -0.0959775522351265, 0.5780596733093262, 0.3837577700614929, 0.7499937415122986, -0.6993030905723572, -0.5357628464698792, 0.5233748555183411, -0.38893550634384155, 0.677557647228241, 0.07298648357391357, -0.3408780097961426, 0.982042670249939, 0.7518498301506042, 0.9089887738227844, -0.11062779277563095, -1.0350353717803955, 0.4049040973186493, 0.9159317016601562, 0.2811160981655121, 0.6047128438949585, 2.133065938949585, 0.6954231858253479, 0.56037837266922, 0.858388364315033, -0.3618025481700897, -0.17318199574947357, 1.1088663339614868, 0.7190563082695007, 0.06098269671201706, -1.2716854810714722, 0.6321483850479126, -1.4901572465896606, -0.5686410665512085, -1.4138000011444092, 1.8921557664871216, -0.2078365981578827, 0.7205379605293274, -0.595720648765564, -1.2128716707229614, 0.5759841799736023, -0.23547117412090302, 0.19646352529525757, 1.397072434425354, -0.3794158697128296, -0.14745433628559113, -0.29648977518081665, 0.6989684700965881, 0.7460742592811584, -0.1103685200214386, -0.18337160348892212, 1.7401721477508545, -0.9052545428276062, -0.3802202045917511, 0.04080093652009964, -0.6374975442886353, -0.8093351125717163, -0.027246341109275818, -1.034717321395874, 0.12127935141324997, -0.4659753143787384, 0.9032204151153564, 0.5752113461494446, 1.3689312934875488, 0.27413809299468994, 0.06296383589506149, 1.4456911087036133, 0.0032018725760281086, 0.19032493233680725, -0.1786099523305893, -0.6516221165657043, -0.21281687915325165, 0.7017503976821899, 1.004050612449646, 0.5051745176315308, -0.3642207980155945, 0.2604999840259552, 0.1745220422744751, 0.17512191832065582, -0.17976894974708557, 0.8647996187210083, 0.09879704564809799, 0.6650345325469971, 0.058555781841278076, -0.2505025565624237, 0.14427675306797028, 0.43365979194641113, 0.4630444049835205, -0.267902672290802, 0.07574429363012314, -0.5023673176765442, -0.1359049528837204, -0.7210047841072083, 1.0351884365081787, 0.10120435804128647, 0.09226323664188385, -0.3445846736431122, 0.05622662603855133, -0.12161819636821747, -1.2125808000564575, -0.2943883240222931, -0.26357629895210266, -1.231733798980713, -0.5867552161216736, -0.7845928072929382, -0.18812288343906403, -1.0608679056167603, 0.7284184694290161, -1.2132363319396973, -0.12374848127365112, -0.9702933430671692, -0.25746890902519226, 0.2517850995063782, 0.23727811872959137, 0.8753562569618225, -0.12712934613227844, -1.3312827348709106, 0.7368696928024292, 0.9675329923629761, 0.9961095452308655, -1.269730806350708, 0.22119897603988647, 1.943589687347412, 0.08861808478832245, -0.17296457290649414, -1.0022101402282715, 0.9729014039039612, 0.8905298113822937, 0.8129886388778687, -0.9974724650382996, -0.702853262424469, -1.4045902490615845, -0.8209248185157776, -0.512281596660614, -0.8323203325271606, -0.9804868102073669, -0.2778857946395874, 0.5757402181625366, -0.289306640625, -0.3589053153991699, 0.2355332225561142, -0.5078641772270203, 0.998641848564148, 0.4831395447254181, 0.6186280846595764, 0.6979278922080994, -0.2521930932998657, 0.37975314259529114, -1.1678208112716675, 0.571319043636322, 0.05584494397044182, -0.20430436730384827, -0.9142971634864807, -1.1649328470230103, 1.3126291036605835, 0.28201666474342346, -0.617719292640686, -0.0007824894855730236, 0.47252511978149414, 0.48088839650154114, 1.1366074085235596, 0.5404009222984314, 0.06982395052909851, 0.8504899740219116, -0.9620484709739685, 0.24202603101730347, -0.1727680265903473, -0.30500730872154236, 0.40405774116516113, 0.17776361107826233, 1.10392427444458, 1.6446375846862793, 1.1238263845443726, -0.7109430432319641, -0.34491780400276184, -0.5951116681098938, 0.8078244924545288, 0.7459128499031067, 0.5507062077522278, -0.34769725799560547, -1.0379525423049927, -0.6853252053260803, -0.011026274412870407, 1.1806575059890747, -0.3973037302494049, -0.6523475646972656, 0.36704179644584656, 0.1525261551141739, 0.03227211907505989, -0.16534534096717834, -1.0852547883987427, -1.1391427516937256, -0.49202990531921387, -0.3243322968482971, -1.9118889570236206, -1.6327322721481323, -1.1655826568603516 ]
1,019
0704.1021
Claus Gerhardt
Claus Gerhardt
Curvature estimates for Weingarten hypersurfaces in Riemannian manifolds
9 pages, v2:final version, to be published
Adv. Calc. Var. 1, 123--132 (2008)
10.1515/ACV.2008.004
null
math.DG
null
We prove curvature estimates for general curvature functions. As an application we show the existence of closed, strictly convex hypersurfaces with prescribed curvature $F$, where the defining cone of $F$ is $\C_+$. $F$ is only assumed to be monotone, symmetric, homogeneous of degree 1, concave and of class $C^{m,\al}$, $m\ge4$.
[ { "created": "Mon, 9 Apr 2007 16:46:05 GMT", "version": "v1" }, { "created": "Fri, 25 Jan 2008 14:28:20 GMT", "version": "v2" } ]
2009-10-19
[ [ "Gerhardt", "Claus", "" ] ]
07
[ 0.5533298254013062, 0.4597279131412506, -0.24107412993907928, -1.1524701118469238, 0.029230276122689247, -0.016019385308027267, -1.089047908782959, 0.7403244972229004, 0.46859011054039, -0.5570743083953857, 0.04788034036755562, -0.4496876895427704, -0.881144106388092, -0.19417448341846466, -1.131998062133789, -0.7767320275306702, 0.36769506335258484, -0.43037858605384827, -0.9083464741706848, 0.7714139819145203, -0.6587068438529968, -0.965226411819458, -0.31815585494041443, 0.5193579196929932, 0.3336101174354553, -2.146240234375, -0.5081480741500854, -0.07886939495801926, 0.22835366427898407, 0.47650018334388733, 1.4685076475143433, -0.02197488583624363, -1.5507428646087646, -1.1475322246551514, -0.5991729497909546, 0.7187795639038086, -0.7756439447402954, 0.5464688539505005, -0.26590508222579956, -0.04710571467876434, 0.4967552721500397, -0.5006826519966125, -0.1233009472489357, 0.3171457052230835, -1.7832250595092773, -0.4099622368812561, 0.21392865478992462, 2.403686761856079, -0.15792414546012878, 0.21392403542995453, 0.4535755217075348, 1.0140504837036133, 0.861741304397583, -0.15663956105709076, 0.4024415910243988, 0.4798629581928253, 0.19271071255207062, 0.9396921396255493, -0.8569007515907288, -1.368032693862915, -0.12009460479021072, -0.6143096089363098, 0.942716658115387, 0.3190535306930542, -0.6612169146537781, -1.022195816040039, -0.545478105545044, 0.09601255506277084, 0.2516654431819916, -1.1820182800292969, -0.43396854400634766, -0.8586611151695251, -0.1832667589187622, -0.5594180822372437, -0.5416770577430725, -0.49141091108322144, 1.3427146673202515, 0.8220755457878113, 0.40635451674461365, 0.7345193028450012, 1.0395348072052002, 0.37138864398002625, -0.32618969678878784, 1.5451971292495728, -0.30457937717437744, -0.08022592961788177, 0.32830244302749634, 0.2570350766181946, 0.06520489603281021, 0.12515658140182495, 0.3755052387714386, 0.3679454028606415, 0.17399658262729645, -0.8095223307609558, -1.3049365282058716, -1.5151177644729614, 1.1021859645843506, -0.8548659682273865, 0.24745701253414154, 1.3299641609191895, -0.1779061108827591, -0.741805374622345, 0.2670661509037018, -0.29873576760292053, 0.8592801690101624, -0.45369666814804077, 0.49151504039764404, 0.34761863946914673, 1.0889517068862915, -0.198125422000885, 0.6836270689964294, -0.550308883190155, 0.557468831539154, -0.47332262992858887, -0.005870155058801174, -0.08044325560331345, -0.6985269784927368, 0.5901955366134644, -0.37040871381759644, -1.0153268575668335, -0.4056515693664551, 1.0876625776290894, 0.8488368988037109, -0.716130793094635, -0.0994347557425499, 0.9605343341827393, -1.2314311265945435, -1.3951963186264038, -0.11149289458990097, -0.9854239821434021, -0.020698267966508865, -0.13997843861579895, 0.31015631556510925, -0.9893963932991028, 0.7636215090751648, 0.6579664349555969, -0.8506796360015869, -0.6001814007759094, 0.3426538109779358, 0.9662525057792664, 1.0429270267486572, -0.3922584056854248, 0.03751077875494957, -0.5212652087211609, 0.8474026918411255, 0.31333866715431213, -0.10666967928409576, 1.1463966369628906, 0.9541943669319153, 1.054634928703308, 0.8573682904243469, -0.5409947633743286, 0.48925960063934326, -0.040149785578250885, 0.032423265278339386, -0.14348004758358002, -1.076226830482483, 0.4032886326313019, -0.10971807688474655, 0.08900056779384613, 0.43920043110847473, 0.31442898511886597, -1.205228567123413, 0.05255770683288574, 0.22353917360305786, -1.56836998462677, 0.533786416053772, 0.02907073125243187, -0.06296177208423615, 0.4105844497680664, -1.0112966299057007, 0.25957563519477844, -0.05564069747924805, -0.7425486445426941, 0.9764171838760376, -0.8997599482536316, -0.35390302538871765, -0.3002907931804657, 0.016677889972925186, -0.7886590361595154, -0.009578506462275982, -0.43098142743110657, -0.4073062539100647, 0.614580512046814, -0.06262357532978058, -1.3758442401885986, -0.6665362119674683, 0.49701982736587524, 0.3615654408931732, 0.48214030265808105, 0.10824378579854965, -0.20845451951026917, -0.40898674726486206, -0.8523625731468201, 0.4052473306655884, 0.15786409378051758, -0.6804629564285278, -0.3753845989704132, 0.07818030565977097, 1.1748690605163574, 1.0563364028930664, 0.5183039903640747, 0.5681807398796082, 0.07052715867757797, -1.5101816654205322, -0.04241033270955086, 0.6858410239219666, 0.8115593791007996, -0.44422394037246704, -1.1956110000610352, 0.42722776532173157, 1.2953689098358154, 0.45417696237564087, -0.3114946484565735, 0.0014095655642449856, 0.17463605105876923, -0.11771261692047119, -0.5805749893188477, -0.3813016414642334, -0.5530571341514587, 0.0004921143990941346, 0.9073977470397949, -0.7056578397750854, -0.06689516454935074, -1.3511765003204346, 1.4984076023101807, -0.7589734196662903, 1.2785248756408691, 0.7261406183242798, -0.8107213973999023, 1.218268871307373, 0.23805521428585052, -1.3842060565948486, -0.6574807167053223, -0.38497814536094666, 0.520831823348999, -1.8086017370224, -0.5011287927627563, -0.15965348482131958, 0.2070678174495697, -0.4491214454174042, 0.8602558970451355, -0.3390953540802002, -1.5057015419006348, 0.7225578427314758, 0.8159617781639099, 1.0867339372634888, -0.11364087462425232, 1.5558063983917236, -0.461858868598938, -0.17723555862903595, -0.4608254134654999, 0.09922593832015991, -0.012087829411029816, -1.203282117843628, 0.13268253207206726, 0.7134736180305481, -0.4374404847621918, -0.1716935783624649, -0.2874874770641327, -0.13984952867031097, -0.11608804017305374, 0.8228289484977722, 0.6530070304870605, -1.4894402027130127, -0.3373165726661682, 0.7753720283508301, 0.1327618509531021, 0.0018773373449221253, 0.10968804359436035, 0.04737422987818718, 0.7361763715744019, 1.0197179317474365, -0.5036497116088867, -0.7421818971633911, -0.11863289028406143, -0.13976053893566132, 0.38532254099845886, -0.015356258489191532, 0.11654578894376755, 0.0835953876376152, 1.5199967622756958, -1.287062168121338, 1.4552291631698608, 2.1509697437286377, -0.04306979104876518, -0.11376648396253586, 0.3592192232608795, 0.11682184040546417, -0.961310625076294, -1.1628025770187378, -1.0587929487228394, 0.9649932980537415, 1.4116603136062622, -1.3426616191864014, -1.4020190238952637, 0.21880173683166504, 0.15336890518665314, 0.017000781372189522, 0.19056418538093567, 0.12682481110095978, 0.3874585032463074, -1.0475006103515625, 0.1367090791463852, -0.3206375241279602, -1.0055665969848633, -0.21892422437667847, -1.280752182006836, 0.178677499294281, -0.16723541915416718, -0.7195643186569214, -0.7742079496383667, -0.38261109590530396, -0.5164754390716553, 0.25702139735221863, -0.7745577692985535, -0.2627553641796112, 0.11842887103557587, -0.17601032555103302, -0.8106527328491211, -0.3455387353897095, 0.7210205793380737, -0.6202057600021362, 1.0767992734909058, 0.44849297404289246, 0.2631532549858093, -0.6176835298538208, 0.5102410912513733, 0.47147247195243835, 0.8313950896263123, -0.2624853849411011, 0.028592010959982872, 1.6291382312774658, 1.1042054891586304, 0.7196714878082275, -0.6572324633598328, -2.1341614723205566, 1.0690076351165771, 0.04070171341300011, -0.3841742277145386, 0.01076862309128046, -0.6828043460845947, -1.160388469696045, -0.2001875787973404, -0.28680509328842163, -0.4178733229637146, 0.15136118233203888, -0.4044012427330017, -0.4061245322227478, 0.9205147624015808, -0.0989738255739212, 0.7002041935920715, -1.2901170253753662, 0.19421891868114471, 0.8810959458351135, -0.6355289220809937, 0.1582670509815216, 1.6442075967788696, -0.23961105942726135, -0.18036341667175293, 0.49428579211235046, 0.4762766361236572, 0.5538854598999023, -0.2062867432832718, -0.018107805401086807, -0.800456166267395, 0.2666111886501312, -1.0451935529708862, 0.8647110462188721, -1.154150366783142, 0.6990175843238831, 0.19872404634952545, -0.7311357855796814, -0.09296894073486328, -0.39588046073913574, 0.38187456130981445, 0.3277049958705902, -0.13494530320167542, -0.2190817892551422, -0.11590658873319626, 0.7113000154495239, 0.6262255907058716, -0.2194397896528244, -0.0092391362413764, 0.05372259393334389, 1.6150782108306885, 0.6404632925987244, 0.27486729621887207, -0.844541072845459, -0.2697177827358246, -0.10304809361696243, 0.20775575935840607, -0.09855722635984421, -1.2723475694656372, -0.47179287672042847, 0.06982653588056564, -1.1586602926254272, -1.9344487190246582, -0.1627538651227951, 0.12131258845329285, -0.6702045202255249, 0.27595093846321106, -1.3505797386169434, -0.6713801026344299, -1.145519733428955, -0.05509894713759422, -0.4320387542247772, 0.6450433731079102, 0.20284584164619446, 0.194457545876503, -1.0706264972686768, 0.7652321457862854, -1.11449134349823, -0.2675517201423645, 1.1219508647918701, -0.9796010255813599, 0.007836970500648022, -0.5830565094947815, -0.5170049667358398, 0.3839236795902252, 1.0376406908035278, -0.7625935077667236, 0.43331828713417053, 0.02884392999112606, -0.34897276759147644, -0.36605188250541687, 0.424403578042984, 0.04001602903008461, -1.27749764919281, 0.31777098774909973, 0.2573702037334442, -0.5817385315895081, 0.6877484917640686, -1.3088529109954834, -0.45237335562705994, -0.6474552154541016, 0.031221529468894005, 0.44454750418663025, -0.2038366049528122, -0.21249760687351227, -1.4684793949127197, 0.5208522081375122, -0.9606990814208984, -0.021860774606466293, 0.3161732256412506, 0.8959507346153259, 0.4198969304561615, -0.44360214471817017, -0.32102465629577637, -0.7005569934844971, 0.4123588502407074, 0.5737199783325195, 0.679875373840332, -0.4902037978172302, 0.28851306438446045, -0.23594117164611816, 0.4840192496776581, 0.6689755916595459, 0.3379986882209778, 0.3491010367870331, -0.01694013550877571, 0.018046969547867775, 0.9396305084228516, 1.3327618837356567, -0.5242125988006592, -1.025565266609192, 0.19036513566970825, 1.177533507347107, -1.0875732898712158, 1.686972975730896, 1.7026811838150024, -1.142338752746582, -0.048149071633815765, -1.1144121885299683, -0.21064332127571106, -0.6789663434028625, -0.10465136915445328, -0.9164947867393494, -0.006457848474383354, 0.7943938374519348, 0.7250881791114807, 0.5166110992431641, 1.1298311948776245, 0.19696980714797974, 0.09487377107143402, -0.9148675203323364, -0.2188338339328766, -0.0953851193189621, 1.1970782279968262, -0.8732845783233643, -0.1712636798620224, -0.4302774965763092, 0.700886607170105, 0.32264280319213867, -0.074709452688694, 0.060581523925065994, 0.06297934800386429, -0.9663406610488892, -0.7312014698982239, 1.2321605682373047, 0.4661550223827362, 1.893109917640686, 0.19850873947143555, -1.182767629623413, 0.24644668400287628, 0.11400576680898666, -0.7585859298706055, 0.25276052951812744, 0.519148051738739, 0.6853585243225098, -1.608393907546997, -0.1455153524875641, 1.7488189935684204, 0.02955481968820095, 0.7005952596664429, -0.847379207611084, -0.8448964357376099, -2.220133066177368, -2.2524280548095703, -0.5639079809188843, 1.0089032649993896, -0.7489067912101746, 0.18549495935440063, -1.1681395769119263, -0.3570665121078491, -0.338360071182251, -0.3760426342487335, 1.2344772815704346, 0.456064373254776, -1.3982126712799072, 0.4380713999271393, -1.210091471672058, 0.1914522796869278, 0.3123109042644501, -0.5664641261100769, 0.11493542045354843, -0.2446253001689911, 0.3577103912830353, -1.05592942237854, -0.16119512915611267, 0.1817828118801117, 0.029091283679008484, -0.7070443630218506, -0.6289714574813843, 1.0428601503372192, 0.6436691880226135, 1.468966007232666, -0.2980165481567383, -0.2216426432132721, -0.004138431046158075, -0.2848442792892456, -0.2412795126438141, 0.9244745373725891, 0.4501093924045563, -1.5463829040527344, 1.1805419921875, -5.875993728637695, -0.22391526401042938, -0.28287816047668457, -0.9144911170005798, 0.8605673909187317, -0.8396214246749878, -0.727113664150238, 0.2866433560848236, 1.5741634368896484, 1.0030978918075562, -0.025006692856550217, -0.06415585428476334, -0.49248313903808594, 0.8539629578590393, 0.2045685052871704, -0.23097209632396698, 0.3856932520866394, 0.0824572890996933, -0.10185135155916214, 0.35248133540153503, -0.18608076870441437, -0.5230070352554321, 0.9430590271949768, -0.5277121067047119, -0.25919109582901, -0.13485246896743774, 0.6195495128631592, -0.695132315158844, 0.5629308819770813, -0.3294260501861572, -0.8148584365844727, 0.380871057510376, 1.3658579587936401, 0.7893303036689758, 0.0799415111541748, -1.8967798948287964, 0.31218767166137695, -0.8463544845581055, -0.022962087765336037, 0.43568068742752075, 0.007473045960068703, -1.2873070240020752, -0.30133339762687683, -0.11405503004789352, 0.06790223717689514, 1.2727097272872925, 0.3708559572696686, 1.0082252025604248, 1.3315458297729492, -0.9477401971817017, 0.4035416841506958, -0.38730427622795105, -0.052707623690366745, -0.7366118431091309, 0.9651452302932739, 0.23116736114025116, -1.002799153327942, -0.2659073770046234, 0.09043513238430023, -1.3337030410766602, 0.23412735760211945, 0.01382816769182682, -1.0131348371505737, 0.011232717894017696, 0.9226279258728027, 1.3566007614135742, 1.3897550106048584, 0.12554478645324707, -0.15554170310497284, 0.5549370050430298, 0.09905711561441422, 0.497976690530777, 0.5996503233909607, -0.9009433388710022, -0.09377246350049973, -0.8287427425384521, -0.8233968019485474, 1.7986456155776978, -0.9552128314971924, 0.2261558175086975, 0.8656764626502991, -0.24740546941757202, -0.8754448294639587, 0.2727574408054352, -0.09512833505868912, 0.3839631974697113, 0.018276475369930267, 0.204341858625412, 0.7464894652366638, -1.350905418395996, -0.03238598629832268, 0.03503646329045296, 0.016580117866396904, -0.4094144105911255, -0.32841116189956665, 0.1606658697128296, -0.9700636863708496, -0.8273771405220032, -1.1168650388717651, -0.19185133278369904, -0.6516486406326294, 0.3159337639808655, 0.183491051197052, 1.2423558235168457, 0.2557537257671356, -1.0289366245269775, -0.7751305103302002, 0.6221387386322021, 1.1319091320037842, 0.6316395401954651, -0.26433488726615906, -0.20065289735794067, 1.148316740989685, 0.24528653919696808, 0.4106447100639343, 0.033853672444820404, -0.23434674739837646, -0.02574354037642479, -1.553849220275879, -0.6032856702804565, 0.6445189118385315, -1.365695595741272, -1.8231457471847534, 0.30497393012046814, -0.25377482175827026, -1.1740466356277466, -0.11306451261043549, 0.07836189866065979, 0.13104894757270813, -1.181335210800171, -0.6498776078224182, -0.4873848557472229, 0.2416030764579773, -0.46956387162208557, -0.9719528555870056, -0.43463075160980225, 1.3781734704971313, -0.3952467143535614, -1.278404951095581, 0.058387670665979385, -1.417611837387085, -0.9754403829574585, 1.2645608186721802, 0.5804091691970825, 0.4078451097011566, -0.33797013759613037, -0.6489891409873962, 1.2920554876327515, -0.07399922609329224, -0.653781533241272, -0.45666828751564026, -0.08087297528982162, 1.6373251676559448, -0.7272222638130188, -0.7928749918937683, -1.1447241306304932, -1.1148484945297241, -0.7629789710044861, -0.1959228664636612, -0.21934741735458374, -0.7946365475654602, -1.5730419158935547, -0.431345134973526, 1.1531933546066284, 0.8182374238967896, -1.0854415893554688, 0.2395191192626953, -0.2162362039089203, -0.9003373980522156, 0.22562919557094574, -0.10178215801715851, 0.521380603313446, 0.23262815177440643, 0.46500855684280396, -0.09858715534210205, 0.44573453068733215, -0.8907782435417175, -0.21577247977256775, 0.06060599163174629, -0.6770272850990295, 0.6618077158927917, 0.7161263227462769, -0.09784936159849167, -0.16592858731746674, -0.6145926713943481, 2.040525436401367, -0.3586992621421814, 1.6396092176437378, 1.4678722620010376, 0.8183155059814453, 0.4943181276321411, 0.4647018015384674, -0.3059954047203064, 1.5925071239471436, 0.2455500215291977, 0.38989681005477905, -0.6095702648162842, 0.01463576965034008, -0.12129569053649902, -0.5858632326126099, 0.4271893799304962, 0.2764008641242981, -0.4634382426738739, 0.6524879932403564, -0.08841641992330551, 0.30926182866096497, -1.2611265182495117, 0.38128769397735596, 1.6011627912521362, -1.1964936256408691, -1.5549829006195068, -0.21766100823879242 ]
1,020
0704.1022
Timo Seppalainen
Firas Rassoul-Agha and Timo Seppalainen
Almost sure functional central limit theorem for non-nestling random walk in random environment
54 pages. Small edits in text
null
null
null
math.PR
null
We consider a non-nestling random walk in a product random environment. We assume an exponential moment for the step of the walk, uniformly in the environment. We prove an invariance principle (functional central limit theorem) under almost every environment for the centered and diffusively scaled walk. The main point behind the invariance principle is that the quenched mean of the walk behaves subdiffusively.
[ { "created": "Mon, 9 Apr 2007 19:32:49 GMT", "version": "v1" }, { "created": "Tue, 29 May 2007 18:29:45 GMT", "version": "v2" } ]
2007-06-13
[ [ "Rassoul-Agha", "Firas", "" ], [ "Seppalainen", "Timo", "" ] ]
07
[ -0.5531594753265381, -0.15272939205169678, -0.18629272282123566, 0.5316897034645081, -0.7449076771736145, -1.149332046508789, 0.6083667278289795, 0.5524994134902954, 0.0006442689918912947, 0.5239825248718262, -0.3739017844200134, 0.16768120229244232, 0.3140910267829895, -0.20378929376602173, -1.227882981300354, 0.4170653522014618, 0.14792293310165405, -0.6914894580841064, -0.501113772392273, -0.19674132764339447, -0.4704195559024811, -0.20021384954452515, -0.14154395461082458, -0.9940503239631653, -1.018113374710083, 0.15523405373096466, -0.5981875658035278, 0.623313844203949, 0.38588178157806396, -0.38907068967819214, -0.47895538806915283, 0.33234894275665283, -0.12897080183029175, -1.0345056056976318, 1.1352490186691284, -0.03660479560494423, 0.3748740255832672, -0.6510169506072998, -0.7507014870643616, 0.9181950092315674, -0.1475721299648285, 0.3804224729537964, -0.12352868169546127, 1.1182231903076172, -0.1783333420753479, -0.3301258981227875, 0.6333689093589783, -0.8477892875671387, 0.05774948000907898, -0.005216503515839577, 0.674053966999054, -1.7375292778015137, -0.7877233624458313, -0.6814332604408264, 1.6455243825912476, -0.22905482351779938, -1.367414951324463, -0.9451610445976257, 0.29291534423828125, 0.16206926107406616, 0.8295987248420715, -0.27661797404289246, -0.022059693932533264, 0.7282686829566956, 0.3720652759075165, -0.1790395975112915, 1.0288960933685303, 1.0360020399093628, 0.6093242168426514, 0.6275070905685425, -1.5755218267440796, -0.9983633160591125, -0.12230972200632095, 0.6196785569190979, 0.9947843551635742, 1.4615767002105713, -0.31936532258987427, 0.7322911024093628, 0.7714521884918213, -0.009755045175552368, -0.22466778755187988, 0.8731286525726318, -1.0749776363372803, 0.3699069619178772, -1.0035593509674072, 0.4171748161315918, -0.6620759963989258, 0.7393109202384949, -1.1942083835601807, 0.5322397351264954, -0.17795053124427795, 0.11192087829113007, 0.04510011523962021, -0.21322298049926758, 0.4703608453273773, 0.5045179724693298, 0.17203660309314728, -0.854970395565033, 0.886218249797821, -0.713038444519043, -0.8560912609100342, -0.15219266712665558, 0.4924764633178711, -0.27393612265586853, -0.22728314995765686, -0.14704689383506775, 0.5629709362983704, 0.1149381697177887, 1.1286917924880981, 0.4192681908607483, -0.9682410359382629, -0.07396610081195831, 0.3174319267272949, 1.0448232889175415, -0.38990074396133423, -0.5301536321640015, -0.8336694836616516, -0.36040884256362915, -1.1140551567077637, -0.020141545683145523, 1.4501463174819946, 0.018132301047444344, 0.5512614250183105, 0.483227401971817, -0.10870566964149475, 0.6287763714790344, 0.3678164482116699, -0.004939086269587278, -0.25396254658699036, -1.9164530038833618, -1.77097487449646, -0.3270891308784485, -0.5010291337966919, -1.0628688335418701, -0.30936264991760254, -0.8618700504302979, -0.8693554997444153, 0.4643668532371521, -0.6964201331138611, 0.038150250911712646, 0.15750136971473694, -0.07554605603218079, 0.32405799627304077, 0.07971218973398209, 0.026008106768131256, -0.5268862247467041, 0.14596617221832275, -0.16295039653778076, -0.5535373091697693, 0.20667724311351776, -1.143039584159851, -1.1487665176391602, 0.3450859487056732, -0.2845488488674164, 1.1599096059799194, -0.5574299693107605, 0.8211014270782471, 1.0916662216186523, 0.25603222846984863, -0.6418403387069702, 2.142224073410034, -1.2677905559539795, 0.8193886876106262, -0.0862346887588501, -0.9262064695358276, -1.0104117393493652, -0.4884960949420929, -0.3812503218650818, -1.2918545007705688, -0.7272992730140686, -0.03733853995800018, 0.3843327462673187, -0.07341689616441727, -0.36491942405700684, -0.06433632224798203, -0.2821667790412903, 1.3017466068267822, -0.3947203755378723, -0.4945586621761322, -1.1861658096313477, 0.9982776045799255, -0.44545188546180725, -1.1417361497879028, 1.019248604774475, -0.5805931687355042, -0.25144705176353455, -0.31185099482536316, -1.5849030017852783, -0.641058087348938, 0.4095844030380249, -0.12447657436132431, -0.3406921327114105, 0.0557592548429966, -0.8851627707481384, -0.008743677288293839, -0.08716905862092972, -0.32208746671676636, -0.06310316920280457, -0.7505877614021301, -0.44236794114112854, 1.6082589626312256, -0.32364609837532043, -0.14452232420444489, 0.6402592658996582, -1.0557013750076294, 1.2688190937042236, -1.071154236793518, 0.3395870327949524, -1.242552638053894, -1.0211163759231567, -0.4980638921260834, 1.1150169372558594, -1.1063998937606812, 0.3468310534954071, 1.1286457777023315, -0.3186015784740448, 0.6072273850440979, -1.3558058738708496, 0.21687938272953033, -1.5596035718917847, 1.3303223848342896, 1.0821826457977295, -0.8997746109962463, 0.7951498627662659, 0.3571569323539734, 0.5839048027992249, 0.4771028757095337, 0.11070860922336578, -0.0910249724984169, -0.9412460923194885, -0.06905457377433777, -0.3622354567050934, -0.5483458042144775, -0.5301742553710938, -0.8652740716934204, 0.024069705978035927, -0.1641460359096527, -0.7585586905479431, 1.2042293548583984, 0.5470985174179077, -0.03782881051301956, -1.3292165994644165, 0.23819993436336517, -0.522903323173523, -0.015608465299010277, 0.10175444185733795, 0.9925001859664917, 0.5771225094795227, -0.8987810611724854, -0.3496232330799103, 0.907570481300354, -0.24885201454162598, 0.056300606578588486, 2.371009349822998, -0.11816293746232986, 0.743181049823761, -0.1912078857421875, 0.8682202696800232, -0.019014619290828705, -0.8830779790878296, 0.8149515986442566, -0.9307580590248108, 1.615247368812561, 0.778769314289093, -0.24943307042121887, -0.08459093421697617, 0.3090328276157379, 0.6865678429603577, -0.9193228483200073, 0.43073350191116333, -0.8403111100196838, -0.8170487284660339, 0.1252918243408203, 0.40278494358062744, -0.4184025228023529, -0.5467554926872253, 0.13322462141513824, 0.2321871519088745, 0.30704906582832336, -1.0366661548614502, -0.31922608613967896, -0.9360127449035645, -0.8143348693847656, 1.1206374168395996, 0.8786383867263794, 0.5324215292930603, -0.5971700549125671, -0.05075535923242569, 0.4868306517601013, 1.0754420757293701, -1.5579692125320435, 0.1405915766954422, -0.5212678909301758, 1.2115687131881714, 0.3791884183883667, 0.013287548907101154, -0.2720012664794922, 1.333268642425537, 0.31636500358581543, 0.7480067610740662, 0.790489912033081, -0.028824644163250923, 0.6329389214515686, 0.7134088277816772, 0.5271210074424744, -0.3876894414424896, -1.6069064140319824, -0.3683605194091797, -0.9790012240409851, 0.2767486274242401, 0.2421763837337494, 0.2500450313091278, -0.30425775051116943, -1.2908629179000854, 0.5258960127830505, 0.43780216574668884, 0.11097719520330429, -0.7585214376449585, 0.08670708537101746, -0.5855342149734497, 0.4440637528896332, -0.018442580476403236, 1.022871494293213, 0.7310613393783569, -0.19553187489509583, 1.1265418529510498, -0.16996686160564423, 0.29444894194602966, -0.06700889021158218, -0.2947918176651001, 0.12138966470956802, -0.12446340173482895, -0.12097148597240448, 0.8426137566566467, -0.5776262283325195, -1.0152212381362915, 0.22438406944274902, -0.43663376569747925, 0.4268164038658142, -0.37298160791397095, 0.45292147994041443, -0.08959680050611496, -1.4219099283218384, -0.5878468155860901, -0.7181116342544556, 0.18819159269332886, -0.2410067319869995, 0.33636194467544556, 0.31138333678245544, 0.7917556762695312, -0.495744913816452, 0.4926038980484009, -0.1535269170999527, 0.3395434617996216, -0.06330372393131256, -1.4109359979629517, 0.5743712782859802, 0.11985070258378983, 1.8772575855255127, -0.4058668613433838, -0.5933610796928406, 1.3865629434585571, 1.226576328277588, -0.9787144064903259, 1.268012523651123, 0.3647627830505371, -0.25126805901527405, -0.9198110699653625, -0.13647159934043884, -0.0944872498512268, -0.855460524559021, 0.20622794330120087, -0.19880302250385284, -0.5770792961120605, 0.31872931122779846, -1.0415974855422974, 1.7717019319534302, 0.7995965480804443, -0.07056740671396255, -0.4390677511692047, 1.0155141353607178, -0.03730321303009987, -0.6790410876274109, -0.25694146752357483, -0.39723634719848633, -0.6827739477157593, 0.1381407380104065, -0.0048617213033139706, -0.33657100796699524, -0.04864001274108887, -0.2664424479007721, 0.8396934270858765, 1.2016900777816772, 1.1467201709747314, 0.12136701494455338, -0.9805344343185425, 0.41705065965652466, -0.06888429075479507, 0.5084230899810791, 0.9632360339164734, 0.4376630187034607, 1.0101649761199951, -0.2590399980545044, 1.0976256132125854, 1.0403448343276978, -0.7158709764480591, -1.315151572227478, -0.4583192467689514, -0.5463728308677673, 0.9654639363288879, 0.5701022744178772, 0.9403098225593567, -0.11481156945228577, -0.6158937215805054, -1.3971083164215088, 0.043207649141550064, 0.6595576405525208, 0.05793847143650055, -0.3810783922672272, -0.28795555233955383, -0.2925574779510498, 0.15886230766773224, 0.5915290117263794, -0.16468462347984314, 0.1563122570514679, -0.39435476064682007, 0.12079115211963654, 0.43223559856414795, -1.0207440853118896, 1.5773141384124756, 0.2877170443534851, -0.4389715790748596, -0.4935445487499237, -0.8049933910369873, -0.024316005408763885, 0.706006646156311, -0.09342268109321594, 1.2814366817474365, -0.4918977916240692, -1.059477686882019, -0.5156269669532776, 1.102379322052002, 0.12573593854904175, 0.5440182685852051, 1.5075736045837402, -1.672438144683838, -0.5396533608436584, 1.5855544805526733, 0.5872275829315186, -0.6777358055114746, 0.9547802209854126, -0.2281922996044159, -0.07846304774284363, -0.6284456253051758, 0.3273483216762543, -0.7226372361183167, 0.12941043078899384, 0.22614726424217224, 0.1741494983434677, -1.1750195026397705, -1.1324118375778198, -0.33915916085243225, 0.1942853182554245, 0.6914802193641663, -0.5564326643943787, 1.0771474838256836, 0.715684711933136, 0.27816641330718994, -0.7312286496162415, 0.4377749264240265, 0.08422671258449554, 1.2760270833969116, 0.6463296413421631, -0.021562762558460236, 0.22431892156600952, -0.04083198681473732, -1.1241638660430908, -0.26536664366722107, 1.0327246189117432, -0.12352478504180908, 0.07804783433675766, 0.8968104720115662, 0.9219486117362976, 0.26719579100608826, 0.20808909833431244, -1.4673075675964355, -0.6430680155754089, -1.0345697402954102, -0.30153122544288635, 0.0972062200307846, 0.1442859172821045, -2.0320184230804443, 0.522822916507721, 0.12335480004549026, -1.0735212564468384, -0.5253362655639648, 0.22646276652812958, 0.539763867855072, -0.9582462906837463, -0.06052957847714424, 0.22580498456954956, 0.6968469619750977, -0.6419550776481628, 0.6316476464271545, -0.8873893022537231, 0.2172212451696396, -0.20404060184955597, 0.22506083548069, -0.24804343283176422, 0.11540478467941284, -1.162243127822876, -0.7936603426933289, 0.1147037148475647, -0.9785593152046204, 0.5917844176292419, 0.7690509557723999, -0.6728774905204773, -3.3076205253601074, -0.8330129384994507, -0.12094230204820633, -0.4362868666648865, -0.29867443442344666, 0.4380882978439331, -0.08989240229129791, 0.3718191683292389, -0.4618683159351349, -1.290103793144226, -0.16541168093681335, 0.20049065351486206, 0.0656854435801506, -0.3519747853279114, -0.2668687701225281, -0.9222177863121033, 0.32199880480766296, -0.3511463701725006, -0.01860220730304718, -0.731456458568573, 0.3356364369392395, -0.09916369616985321, 0.42958864569664, 0.21610091626644135, -0.025902580469846725, 1.391151785850525, -0.6475589871406555, -0.3934429883956909, -0.21191473305225372, -0.4102571904659271, -0.3007540702819824, 0.49948087334632874, 0.19107764959335327, 0.8913743495941162, -0.8768455386161804, -1.0225471258163452, -0.548789918422699, 1.6132932901382446, 0.17602159082889557, -7.384133815765381, 0.17848800122737885, 0.32609328627586365, -0.4294108748435974, 0.21017402410507202, -2.1170411109924316, -0.14217402040958405, 0.7178295850753784, 0.11633715033531189, 0.31446075439453125, 0.5222727060317993, -0.009070124477148056, -1.3640331029891968, -0.15184830129146576, 0.38620978593826294, -0.7482775449752808, 0.49205777049064636, -0.4153180420398712, -0.34276214241981506, -0.5054829716682434, 0.6764461398124695, -0.2470005303621292, 0.6060605645179749, 0.2733732759952545, 0.7672365307807922, -0.21487288177013397, -0.14863625168800354, -1.087218999862671, -0.14730115234851837, -0.46330827474594116, -0.32412147521972656, -0.4555928707122803, -0.31833934783935547, -0.1533246487379074, -0.9390636086463928, -1.751708984375, 0.09061326831579208, -1.1024612188339233, 0.5983390808105469, -1.1456187963485718, 0.4091434180736542, -2.1777889728546143, 0.0627901703119278, -0.9807386994361877, 0.5809020400047302, -0.6244521737098694, 0.42801669239997864, -0.7371163964271545, 0.9089977145195007, 0.019484009593725204, 1.202803134918213, 0.5936890840530396, 0.39082738757133484, 0.8268997669219971, 0.10633199661970139, 0.488586962223053, -0.759555995464325, -0.5469205975532532, -0.8729678392410278, -0.13472804427146912, -1.0114012956619263, -0.015375849790871143, -0.05657024681568146, 0.40213191509246826, 0.23840585350990295, -0.08548802882432938, 0.8573741316795349, -0.1438370794057846, -0.3629571199417114, -1.007785439491272, -0.923596978187561, -0.9487009644508362, -0.35879072546958923, 1.5386476516723633, -0.606611430644989, -0.7635257244110107, 0.3833448886871338, 0.351811945438385, 0.1835004985332489, -0.8663098216056824, -0.7506851553916931, 0.32612693309783936, 0.07904239743947983, 0.08193287998437881, 0.04327959939837456, 0.4101787805557251, -0.13795353472232819, -0.8808709383010864, -0.0976654589176178, 0.03447990119457245, -0.3602197468280792, 1.3829667568206787, -0.5236977338790894, 0.9174637198448181, -0.7817243337631226, -0.5642990469932556, 0.7277522087097168, 0.34997567534446716, -0.9830265045166016, 0.7137376070022583, -1.3977713584899902, -0.3873879313468933, 0.5369865894317627, 0.08760756254196167, 2.144634246826172, 1.2755647897720337, -0.865282416343689, 1.1494512557983398, 0.6180772185325623, 0.022926485165953636, 0.8529826998710632, 0.40052616596221924, 0.4961370527744293, -0.2773323059082031, 1.6978124380111694, 0.4908302128314972, 0.13611577451229095, 0.22416365146636963, -0.9090526103973389, -0.17712551355361938, 0.32190489768981934, -1.2905925512313843, -1.6223649978637695, 0.5473604798316956, -0.3100161552429199, -0.8905445337295532, -0.6428617835044861, -0.3245042860507965, 1.0912601947784424, -0.39876413345336914, -0.4509190618991852, -0.5926604866981506, -0.5886968970298767, -0.6044597029685974, -0.43778499960899353, -0.13231010735034943, -0.8335235118865967, 0.810824990272522, -0.586139976978302, -0.4155023992061615, 0.28827497363090515, 0.9888771772384644, 0.43796977400779724, 0.7810218334197998, -0.7346822619438171, -0.2724089026451111, 0.4413968026638031, 0.2895563840866089, 0.5567626357078552, -1.155206561088562, -0.2509405314922333, -0.6068898439407349, 0.3196718394756317, 0.6136616468429565, 0.3532184362411499, 0.24423649907112122, -0.27399101853370667, 0.9977010488510132, -0.317205548286438, -0.9134957790374756, 1.2938413619995117, -1.1799923181533813, -0.2583138942718506, 1.6320439577102661, -1.265201449394226, 0.4639582931995392, -0.855874240398407, -0.3210609555244446, -1.6729048490524292, -0.08730795979499817, 0.03508276119828224, -0.14441277086734772, 1.1862409114837646, 0.506560742855072, -0.5432103276252747, 0.0746048241853714, 0.4153526723384857, 0.9594414830207825, -0.06591653823852539, -0.3680015504360199, -0.7176952362060547, 0.09786014258861542, -0.0983213409781456, 0.9868921637535095, 0.6381329894065857, -0.08523517847061157, -0.1393618881702423, 0.6738361716270447, 0.3616286814212799, -0.11311938613653183, -0.48749226331710815, 0.054319802671670914, -0.4541707932949066, 0.2819403111934662, -0.31310319900512695, -0.19616901874542236, -0.24836128950119019, -0.6597011089324951, 1.1252495050430298, -0.23256823420524597, 0.9963964819908142, 0.7760124206542969, 0.7537497878074646, 0.31330564618110657, -0.9781885743141174, -0.45493006706237793, 0.7305072546005249, 0.1680143177509308, -0.9553735852241516, 0.2619212567806244, -0.03547712787985802, -0.33478936553001404 ]
1,021
0704.1023
Pouria Pedram
G. R. Jafari, A. A. Saberi, R. Azimirad, A. Z. Moshfegh, and S. Rouhani
The Effect of Annealing Temperature on Statistical Properties of $WO_3$ Surface
8 pages, 6 figures;
J. Stat. Mech. (2006) P09017
null
null
physics.data-an
null
We have studied the effect of annealing temperature on the statistical properties of $WO_3$ surface using atomic force microscopy techniques (AFM). We have applied both level crossing and structure function methods. Level crossing analysis indicates an optimum annealing temperature of around 400$^oC$ at which the effective area of the $WO_3$ thin film is maximum, whereas composition of the surface remains stoichiometric. The complexity of the height fluctuation of surfaces was characterized by roughness, roughness exponent and lateral size of surface features. We have found that there is a phase transition at around 400$^oC$ from one set to two sets of roughness parameters. This happens due to microstructural changes from amorphous to crystalline structure in the samples that has been already found experimentally.
[ { "created": "Sun, 8 Apr 2007 12:08:55 GMT", "version": "v1" } ]
2007-05-23
[ [ "Jafari", "G. R.", "" ], [ "Saberi", "A. A.", "" ], [ "Azimirad", "R.", "" ], [ "Moshfegh", "A. Z.", "" ], [ "Rouhani", "S.", "" ] ]
07
[ -1.0674108266830444, 1.6070500612258911, 0.7834604978561401, 0.7522831559181213, -0.6604989171028137, -0.6229344010353088, 1.1858744621276855, 0.6256198883056641, 0.17866112291812897, -0.6786285638809204, -0.7869706153869629, -0.7213097810745239, 1.7766002416610718, 0.8426859378814697, -0.018994014710187912, -1.0283594131469727, -1.7964264154434204, -1.2008075714111328, 0.723236620426178, 0.37133485078811646, -0.05342971161007881, -1.180481195449829, -0.40068700909614563, 0.5260946154594421, -0.2168530821800232, 0.9613227844238281, -1.7187225818634033, 0.23370184004306793, 0.8980783820152283, 0.888748049736023, 0.0713794156908989, -0.05942956730723381, 1.175249457359314, 0.7849946022033691, -1.007258653640747, -0.25118857622146606, 0.19345775246620178, 0.09233012795448303, -0.12102315574884415, -0.8021469712257385, -0.3296888470649719, -1.1936415433883667, -0.34844863414764404, -0.3243277072906494, 0.01988130435347557, -0.24444492161273956, -0.9469663500785828, -0.726126492023468, -0.11554217338562012, -2.2301552295684814, 0.31044867634773254, 1.382455825805664, 0.020758619531989098, -2.4693167209625244, 0.8796114325523376, 0.7291691899299622, -2.8926446437835693, -0.9105347990989685, 0.584479570388794, -0.5019004940986633, -0.10950152575969696, 0.2111707478761673, 0.5443567633628845, 0.5706964135169983, 0.5139718651771545, -0.6928403377532959, -0.2232595533132553, -0.3622767925262451, 0.600328266620636, 1.1405917406082153, -0.21620452404022217, 0.1557597517967224, -0.37495604157447815, 0.019478941336274147, 0.12455149739980698, 1.0307601690292358, -0.20957370102405548, 0.38413572311401367, 0.900219202041626, -0.3990512788295746, -1.7066022157669067, -0.05256279185414314, -0.003234749659895897, 0.2863534092903137, 1.216997504234314, -0.6126574873924255, -0.07567732036113739, -0.28360381722450256, 0.4378156065940857, 0.8207350373268127, 0.5734021067619324, -0.9191787242889404, -0.364348441362381, -1.5850976705551147, 1.41182279586792, 1.125664472579956, -0.1010577455163002, 0.381391704082489, 0.2578605115413666, 0.7339144945144653, -0.6299858093261719, 0.7850701212882996, 0.17865055799484253, -0.9840543270111084, -0.09799255430698395, 0.23253852128982544, 0.5146725177764893, 0.4368495047092438, -1.9828630685806274, -0.4948989450931549, -0.17604130506515503, 1.0100278854370117, 0.7592383027076721, -0.31325873732566833, -0.9607163071632385, -0.03664589673280716, -0.7426242828369141, -0.3587600886821747, 0.198565274477005, -0.7250051498413086, -0.25019627809524536, 0.07533029466867447, 0.09001617878675461, -0.890828549861908, 1.3915859460830688, -0.31012478470802307, -1.117126226425171, -0.5074219703674316, 0.06938419491052628, -1.492238163948059, -0.3665040135383606, -0.473925918340683, 1.6215989589691162, -1.150018334388733, 0.6335019469261169, 0.4170571267604828, 0.5082280039787292, 0.7071570754051208, 0.04335084930062294, -0.14336185157299042, -0.3904489278793335, 0.3749640882015228, 0.03017023764550686, -0.7658029794692993, 0.2038392275571823, -0.12814928591251373, -0.756669819355011, -0.7977647185325623, -0.5542083382606506, -0.358992338180542, -0.4961395561695099, -1.7697207927703857, 0.5194031596183777, 0.5203137397766113, 0.13080671429634094, 0.2953309118747711, 0.3156438171863556, -0.5728601813316345, 0.9829050302505493, 1.2091553211212158, 0.37302321195602417, 1.1827963590621948, -0.5692083835601807, -0.6551843285560608, 0.6864064335823059, 1.2706950902938843, 0.11287939548492432, -0.21705755591392517, 1.7151345014572144, -0.19021360576152802, 0.08509768545627594, -0.020999077707529068, 0.5330907106399536, -0.2614732086658478, -0.4061214327812195, -0.6975140571594238, 0.20296567678451538, -0.3759523928165436, -0.801754891872406, 0.9891802072525024, -0.9786671996116638, 0.47153419256210327, -0.5403562188148499, -0.9474890828132629, 0.1550624668598175, -1.0870308876037598, -0.7461429238319397, -0.8469637036323547, 0.3906429708003998, -0.10336394608020782, 0.9627633690834045, 0.2924416959285736, -0.9160009026527405, -0.19929686188697815, -0.43587103486061096, 1.371932029724121, 0.8466921448707581, 1.0789037942886353, -0.21462227404117584, 0.11690928786993027, 2.513528347015381, 0.23457476496696472, -0.5654133558273315, 0.4865344166755676, -1.2961182594299316, -0.9342424869537354, 0.5902346968650818, -0.6139212250709534, -0.6412020921707153, 0.012398183345794678, -1.8886343240737915, 0.19197164475917816, -1.0343561172485352, 0.05157039687037468, -0.940541684627533, 0.34109488129615784, 0.3477206826210022, -0.4524450898170471, 1.0717607736587524, -1.2692030668258667, -0.05651192367076874, 0.6713976860046387, 0.6600657105445862, -0.2638816833496094, -0.5336565375328064, -0.6046737432479858, -1.2825149297714233, -0.07481945306062698, 0.1521701067686081, 0.5952674746513367, -0.972766101360321, 0.1885732263326645, -0.23819206655025482, -0.09634241461753845, 0.5730844140052795, -0.6639528274536133, -0.4016096293926239, -0.3209984302520752, 0.6594259738922119, -0.5975183248519897, -1.4810022115707397, 1.7489402294158936, 1.0008697509765625, 0.9583519101142883, -0.09232962131500244, 0.23686832189559937, 0.22347068786621094, 0.32654106616973877, -0.5712142586708069, -0.6161853075027466, 0.15085943043231964, -0.6106794476509094, -0.8919060230255127, -2.067626953125, -0.5648471713066101, -0.041850317269563675, -0.2521851360797882, 0.03554796054959297, 1.1191110610961914, 0.15442737936973572, 0.4884679615497589, -1.0248100757598877, 1.5932337045669556, 0.03584221750497818, -0.4215169847011566, 1.6670845746994019, -0.3589272201061249, 0.3362933099269867, -0.2849337160587311, 0.9936367869377136, -1.21924889087677, -1.363250494003296, 0.20413808524608612, 0.5958855748176575, -0.5088374614715576, 0.6491802334785461, -0.7763535380363464, -0.5812182426452637, -0.587885856628418, 0.1646801382303238, -0.5287134051322937, 0.2497435063123703, 0.46880853176116943, -0.41100960969924927, -0.12098729610443115, -0.34244582056999207, 0.776500403881073, -0.6642058491706848, -0.032058216631412506, 0.5186222195625305, 0.13823868334293365, -0.39460283517837524, -0.9649842381477356, 0.08234711736440659, 0.12638534605503082, 0.20683185756206512, -0.2819991409778595, -0.07345592975616455, -0.9597453474998474, 0.5190746188163757, 0.23159724473953247, -0.17023786902427673, 0.5808836817741394, 0.6704888343811035, 0.12221614271402359, -0.3271324336528778, 0.09577912837266922, -0.525705873966217, -0.6828208565711975, -0.02664029598236084, 0.5498611927032471, 1.205142855644226, 0.09811091423034668, -0.2494269460439682, 0.729513943195343, -0.9572903513908386, 0.2959626317024231, -0.2553655505180359, 0.7152451872825623, -1.270032286643982, -0.38821494579315186, 1.0273627042770386, -1.0999016761779785, 0.6427267789840698, 0.1084720715880394, -0.5974283814430237, 0.3168591260910034, -0.5328942537307739, 1.1817458868026733, 0.5305238366127014, 0.5641074776649475, -0.012513451278209686, 0.30538585782051086, -0.3411073684692383, 0.30984434485435486, -0.33300912380218506, 0.09468072652816772, -1.3311772346496582, 0.6067081093788147, -0.12702219188213348, 1.1203724145889282, 0.8025757074356079, 0.9827513694763184, 1.0406663417816162, -0.5396031737327576, -0.39259690046310425, 0.46092501282691956, -0.39839503169059753, -0.13626046478748322, 0.4910433292388916, -1.6206865310668945, 0.5618014931678772, -0.5777475833892822, 0.04272505268454552, -0.5127635598182678, 0.39225026965141296, 0.41045597195625305, -0.4400738775730133, 0.2219448834657669, -0.6058810353279114, -0.683468222618103, 0.48861920833587646, -0.11845682561397552, 0.08538935333490372, 0.39936524629592896, -1.4918407201766968, -0.3099643290042877, 0.3869648277759552, 0.4147370159626007, 0.3974369466304779, 1.2134419679641724, 0.38060685992240906, -0.29129326343536377, 0.28970885276794434, -0.6720850467681885, 0.032506879419088364, 0.018751703202724457, -0.08155889809131622, 0.15802069008350372, -0.8244696855545044, -0.17673642933368683, 0.4672910273075104, 1.0029689073562622, -1.0256437063217163, -0.7666678428649902, 0.8393723368644714, 0.9756678342819214, 0.5468906164169312, -0.7056053280830383, 0.7783858776092529, -0.5627313852310181, 0.7167035341262817, 0.5321347713470459, -0.7939424514770508, 0.7499188184738159, 1.8231266736984253, 0.5924263000488281, -0.09105727821588516, 0.5482721924781799, 0.5379688143730164, -0.8324623107910156, -0.5828335881233215, -0.2903509736061096, -1.5117383003234863, -0.15527752041816711, -0.3645441234111786, 0.5759810209274292, -0.15024292469024658, -0.0641513541340828, -0.8914467096328735, -0.8520159125328064, 0.3653312921524048, 0.3895932734012604, 0.15411601960659027, 0.7042531967163086, 0.5519611835479736, 0.26712408661842346, -0.8082993030548096, -0.2550247609615326, 1.0471110343933105, -0.019748685881495476, -0.20005115866661072, -0.7029380202293396, 0.3307572305202484, 0.2551923096179962, 0.9837399125099182, 0.01868259161710739, 0.01495432760566473, 0.46073800325393677, -0.5334627628326416, 1.0079748630523682, 0.43037933111190796, -0.3980577886104584, -0.08935016393661499, -0.07682221382856369, -0.4024171829223633, -0.2601906955242157, -0.31737449765205383, -0.3811194598674774, -0.1048637256026268, 0.2834009826183319, 0.019849272444844246, 0.23749440908432007, -0.3998034596443176, -0.6399579048156738, -0.17427608370780945, -0.6783663630485535, 0.10497079789638519, -1.1989295482635498, -0.7682458758354187, -0.6418309807777405, 1.549506664276123, 0.018927734345197678, 0.22139929234981537, 0.5554074048995972, -0.7229769825935364, -0.3491027057170868, 1.4795862436294556, 0.7528157234191895, -0.1845257580280304, 0.08264774084091187, -0.17830327153205872, -0.4079303443431854, -0.4069351851940155, -0.13670119643211365, -0.44953790307044983, -1.5589720010757446, 0.07388106733560562, -0.4341605305671692, 1.0845738649368286, 1.3181777000427246, -0.5256013870239258, 0.47409945726394653, -0.4643559455871582, 0.7329863905906677, 0.35886865854263306, 0.02317182533442974, -0.7636224031448364, -0.5736228227615356, -0.8318506479263306, -0.06540166586637497, 1.354728102684021, 0.6397584080696106, -0.9582531452178955, 0.10197750478982925, 0.0012590872356668115, 0.348757266998291, -0.36521559953689575, -0.5290908217430115, 1.1639041900634766, -0.6537094712257385, -1.0349268913269043, -0.9741601347923279, 0.901135265827179, -0.41801828145980835, -0.1331484019756317, 0.8943625688552856, -0.9942353367805481, 0.2937852740287781, -0.3155362010002136, 0.2683447003364563, -0.5222090482711792, 0.27551212906837463, -1.7975820302963257, 0.2847457826137543, 0.6334033608436584, -1.0607128143310547, -0.2041204869747162, 0.35969269275665283, 0.5479332208633423, 0.6631848216056824, -0.5697277188301086, 0.353651762008667, -0.10374168306589127, -0.6200011372566223, -0.11296015232801437, -0.6696138978004456, -2.823812484741211, 1.0664935111999512, -0.34747281670570374, -0.38196513056755066, -0.23443473875522614, -0.5092164278030396, 0.6610363721847534, -0.0952564999461174, -0.22862310707569122, -0.14277364313602448, -0.03947816044092178, 1.0797849893569946, 1.0760600566864014, -0.12593166530132294, 0.5994897484779358, 0.6150379776954651, -1.0223610401153564, 0.7315065860748291, 0.18828554451465607, 0.11927337944507599, -0.5180764198303223, -1.2014480829238892, 0.1937970519065857, 0.37022823095321655, -0.027233578264713287, -0.06594618409872055, -0.04718026891350746, 0.2698585093021393, 0.09047999978065491, -0.029602903872728348, 0.14030449092388153, -0.6727398633956909, 0.8432173728942871, 0.8298944234848022, -0.619999349117279, -0.29440295696258545, 0.7512985467910767, 0.1583297997713089, -1.1846115589141846, -7.529327392578125, -0.09803835302591324, -1.184031367301941, -0.968816876411438, 0.7331886291503906, 1.086347222328186, 0.38991156220436096, -0.6265543103218079, -0.38352105021476746, -0.020803408697247505, 1.0423564910888672, 0.08754514157772064, -0.44123902916908264, -0.11796563118696213, 0.40914419293403625, -0.0033597478177398443, -0.7456053495407104, -0.4087419807910919, -0.8225027322769165, 1.311362862586975, 0.13962572813034058, -1.2339224815368652, 0.47513678669929504, -0.1064571812748909, -0.31011340022087097, 0.8294654488563538, -0.5960890650749207, -0.9320896863937378, -1.4044280052185059, -0.06423989683389664, -0.2801787555217743, -0.40624648332595825, 0.05355571210384369, -0.6318585872650146, 0.7504545450210571, 0.002448564162477851, 0.8435543179512024, 0.7242729663848877, -0.252082884311676, 0.9223529696464539, 1.0119785070419312, -1.1353318691253662, 0.08824578672647476, -1.415954828262329, 0.12045484781265259, 0.6365642547607422, 0.47099655866622925, 0.3329266309738159, -0.5406616926193237, -0.4733014702796936, 0.18277284502983093, 1.1697169542312622, 0.5333943367004395, -0.6940585374832153, -1.6606048345565796, -0.8259483575820923, -0.7015441656112671, -0.2260638028383255, 0.09984640032052994, 0.1877385526895523, -0.2489366978406906, -0.1204204186797142, -0.207441508769989, 0.25884631276130676, -0.12652261555194855, 0.33959832787513733, -0.7074452638626099, 0.019712477922439575, 0.6352915167808533, -0.1610749065876007, -0.625363290309906, -0.5192313194274902, 1.3154606819152832, 0.7282572388648987, 0.17608162760734558, 0.749466061592102, 0.6323635578155518, -0.516399621963501, 0.010991797782480717, 0.7010477185249329, 1.4858454465866089, 1.1380599737167358, 0.25764337182044983, -0.8772097229957581, -0.35788556933403015, -0.6047468185424805, -0.6060041785240173, -0.15264780819416046, 0.16588366031646729, -0.7656436562538147, 0.403456449508667, 0.07453124970197678, 0.12352553755044937, 0.5740227103233337, -0.2997775375843048, -0.04862285032868385, -0.3332444131374359, -0.8824613690376282, 0.17486028373241425, -0.7122932076454163, -0.33626288175582886, -0.477859228849411, -0.21910250186920166, -0.41702890396118164, -0.08252304047346115, 1.0116580724716187, -0.8015596866607666, 0.7249720692634583, -0.0799589529633522, 0.16037406027317047, 0.5172523856163025, 1.0556139945983887, -0.04485146328806877, 0.7329367399215698, -1.275638222694397, 1.3756904602050781, -0.24760623276233673, 0.3769635558128357, 0.10020934790372849, 0.9935570359230042, -1.586945652961731, 1.1473921537399292, -0.5345664024353027, -0.6089509725570679, 0.8762122988700867, -0.8770310878753662, 0.992890477180481, -0.6105026602745056, 1.1259722709655762, -0.15254750847816467, 0.15796533226966858, -0.08804240077733994, -0.01766034960746765, 0.45546379685401917, -0.19023911654949188, -0.08012022823095322, -0.6819995641708374, 0.12131869792938232, -0.4397050738334656, -0.4622489809989929, -0.06249077245593071, 0.9354029297828674, -0.027989251539111137, 0.023000195622444153, -0.5140862464904785, -0.5592643022537231, -0.23418034613132477, -0.29346588253974915, -1.5836877822875977, -0.6194667220115662, -1.2101479768753052, -0.657137393951416, -0.7637115120887756, 1.552726149559021, 0.1485694944858551, 0.14118953049182892, -0.6787141561508179, -1.5437719821929932, -0.038130614906549454, -0.290032297372818, 0.1431489884853363, -1.5224379301071167, -0.8209059238433838, -0.19462324678897858, -0.7533928751945496, -0.26191189885139465, -1.0208035707473755, -0.19903089106082916, -0.8433321714401245, -0.5035325884819031, 0.4791284501552582, -0.39841124415397644, -1.178961157798767, -0.21302464604377747, 0.16757550835609436, -0.9854053854942322, 1.7356147766113281, 0.45231807231903076, -1.1925137042999268, -0.3617396056652069, -0.508642852306366, 1.2438410520553589, 0.3803209066390991, -0.5398873686790466, -0.40712153911590576, 0.0017506279982626438, 0.821322500705719, -0.04331193119287491, -1.5284886360168457, 0.3730197846889496, 0.784937858581543, 0.17501337826251984, -0.33853790163993835, 1.5070055723190308, -0.6632764339447021, 0.3751875162124634, -0.771132230758667, 0.6306054592132568, 1.3566532135009766, 0.964657187461853, -0.971499502658844, 2.2652812004089355, 0.4196521043777466, 0.7354733347892761, 0.47346585988998413, -0.4258209764957428, -0.9081405997276306, -0.20176571607589722, -0.4447527229785919, -0.07959908992052078, -0.2791474163532257, 0.7097077965736389 ]
1,022
0704.1024
Vladimir Babenko
V. A. Babenko and N. M. Petrov
Determination of Low-Energy Parameters of Neutron--Proton Scattering on the Basis of Modern Experimental Data from Partial-Wave Analyses
17 pages, to be published in Physics of Atomic Nuclei
Phys.Atom.Nucl.70:669-675,2007
10.1134/S1063778807040072
null
nucl-th
null
The triplet and singlet low-energy parameters in the effective-range expansion for neutron--proton scattering are determined by using the latest experimental data on respective phase shifts from the SAID nucleon--nucleon database. The results differ markedly from the analogous parameters obtained on the basis of the phase shifts of the Nijmegen group and contradict the parameter values that are presently used as experimental ones. The values found with the aid of the phase shifts from the SAID nucleon--nucleon database for the total cross section for the scattering of zero-energy neutrons by protons, $\sigma_{0}=20.426 $b, and the neutron--proton coherent scattering length, $f=-3.755 $fm, agree perfectly with the experimental cross-section values obtained by Houk, $\sigma_{0}=20.436\pm 0.023 $b, and experimental scattering-length values obtained by Houk and Wilson, $f=-3.756\pm 0.009 $fm, but they contradict cross-section values of $\sigma_{0}=20.491\pm 0.014 $b according to Dilg and coherent-scattering-length values of $f=-3.7409\pm 0.0011 $fm according to Koester and Nistler.
[ { "created": "Sun, 8 Apr 2007 12:35:18 GMT", "version": "v1" } ]
2008-11-26
[ [ "Babenko", "V. A.", "" ], [ "Petrov", "N. M.", "" ] ]
07
[ -0.477967768907547, 0.2117708921432495, 0.055842168629169464, -0.5670762062072754, 0.48052334785461426, 0.6503717303276062, -0.39556315541267395, 0.7917549014091492, -0.8956097960472107, -1.7098417282104492, -0.29721444845199585, 0.4792659282684326, -0.377414733171463, 0.46779853105545044, -1.5443272590637207, -0.9926199913024902, -0.5439416766166687, -1.585136890411377, 0.6166940927505493, 0.04682108387351036, 0.5067010521888733, 0.6073960065841675, 0.35326749086380005, -0.3010791540145874, -0.33630141615867615, 0.6749804019927979, -0.8180323243141174, 0.5054340958595276, -1.4298747777938843, -0.053784362971782684, 0.5591462254524231, 0.27108535170555115, -1.0040292739868164, 1.3055031299591064, -0.49842190742492676, -0.32439956068992615, 0.347024530172348, -0.49692270159721375, -0.9105091691017151, -0.28658658266067505, -0.04153159633278847, 0.265102356672287, 0.631171703338623, 0.24242684245109558, -0.15130014717578888, -0.9456098675727844, -1.80286705493927, -0.45841163396835327, -1.7549484968185425, 0.4231131970882416, -1.4216572046279907, -0.17463845014572144, -1.2997997999191284, 0.9266524910926819, -1.0675849914550781, 0.4945403039455414, -0.724046528339386, 0.012761625461280346, 1.274554967880249, -0.15028010308742523, -0.3426227271556854, 0.11033519357442856, -0.43014517426490784, -0.45601654052734375, 0.5924978852272034, 0.37044116854667664, -0.9722751975059509, -0.2316935807466507, 1.150945782661438, 0.45574769377708435, -0.9066093564033508, -0.102141834795475, -0.5394924879074097, -0.5102160573005676, -1.077088475227356, 0.2183946669101715, 1.291592001914978, 0.9984593391418457, 0.06186999753117561, -0.5836510062217712, -0.6378788352012634, 1.0625096559524536, -0.4640575647354126, -1.2879692316055298, 0.8475794792175293, -0.056571636348962784, 0.47105345129966736, -0.7304312586784363, -0.6824917197227478, 0.016625965014100075, -0.1726129651069641, -0.7968522906303406, -0.6276313662528992, -1.001712679862976, 1.0869619846343994, 0.49748966097831726, -1.4266316890716553, 0.5916757583618164, 0.3036395013332367, 0.035672400146722794, -0.3102948069572449, 0.1301490217447281, 0.13401922583580017, 0.12012328952550888, 0.32252153754234314, 0.4383118748664856, -0.20871715247631073, -0.44696474075317383, -0.6774445176124573, 0.3207818269729614, -0.6387966275215149, 0.533992350101471, -0.48717910051345825, 0.8099043369293213, -0.9861688613891602, 1.4625111818313599, 0.12314721941947937, 0.9603171348571777, 0.2314278483390808, 1.4451647996902466, 0.13476018607616425, -0.48068907856941223, -0.33883336186408997, 0.2022470384836197, 0.25678321719169617, 0.20088808238506317, -0.46884188055992126, -0.20590390264987946, 1.1430853605270386, -0.45934629440307617, 0.2219751477241516, -0.2506119906902313, -0.39287447929382324, 0.836184024810791, -1.1154156923294067, -0.1375942975282669, -0.3575882017612457, -0.7738276124000549, 0.724688708782196, -0.5587175488471985, -0.1755063682794571, -0.7548909187316895, -0.1723012924194336, -0.691556990146637, 0.22502626478672028, 0.20577730238437653, 0.13250260055065155, -1.1323399543762207, -0.5926205515861511, 0.2928251326084137, 0.5605636239051819, -0.38079389929771423, 0.09030164033174515, 0.18863420188426971, -0.06350570172071457, -0.5551277995109558, 0.9269086122512817, 0.9970644116401672, 0.4818597137928009, 1.0532253980636597, 1.7235337495803833, 0.624363124370575, 0.879928469657898, -1.2663490772247314, 0.1963498443365097, -0.4953716993331909, -0.3437691628932953, -0.2363719642162323, -0.13442988693714142, -0.6394037008285522, -0.3939758241176605, -0.9267756938934326, 0.4404293894767761, -0.19676482677459717, 0.5612063407897949, -0.07740819454193115, 0.8083468675613403, 0.4792124032974243, -0.7550367116928101, 0.2304612696170807, 1.003983736038208, -0.5432610511779785, -0.7534934878349304, -0.4406150281429291, 0.25334975123405457, 0.26256054639816284, -0.3389151990413666, -0.7181539535522461, -0.6639000177383423, -0.4435802698135376, -0.6954339146614075, -1.1644933223724365, -0.9888232946395874, 0.6522344350814819, 0.39680737257003784, 0.7743259072303772, -0.4563402831554413, 0.7303246855735779, -0.6527163982391357, -1.0339727401733398, 1.1757445335388184, -0.734548807144165, 0.9651368856430054, 0.5879111886024475, 0.44381147623062134, -0.9080587029457092, -0.383523553609848, 0.7909607887268066, -1.0105689764022827, 0.1628309041261673, 0.5617741346359253, 0.3423396944999695, 0.5030471086502075, 0.5924449563026428, 1.7992491722106934, -1.0708513259887695, -0.053439803421497345, -0.6505089402198792, 0.7711867094039917, -0.5684460997581482, 1.9834002256393433, 0.08088332414627075, -0.21055738627910614, 0.06283754855394363, 0.5493347644805908, 0.7864636182785034, 0.1909351944923401, -0.45992618799209595, -0.19389691948890686, 0.45511379837989807, 0.25846758484840393, 0.8944680690765381, 0.4911643862724304, -0.9414957761764526, 0.746439516544342, 0.5482984185218811, -0.6007959246635437, -1.0509809255599976, -0.2450038343667984, -0.36220675706863403, 0.34783607721328735, 0.9265450239181519, 0.6339510083198547, -0.3759119510650635, -0.9566836357116699, -0.8206928372383118, 0.11113420128822327, -1.1719452142715454, 0.8544781804084778, -0.6934369802474976, -0.30907464027404785, -0.5539482831954956, 0.8391473293304443, 0.5661594867706299, -0.6613913774490356, -1.1747158765792847, 0.1443614661693573, -0.9651199579238892, 0.7000975012779236, 0.3897218704223633, 0.3178817629814148, -1.1760280132293701, -0.17070984840393066, 0.9092153310775757, 1.2226694822311401, -1.101022720336914, -1.2234547138214111, 0.31761467456817627, -0.7958638668060303, 0.23654183745384216, -0.042793985456228256, -0.15629808604717255, 0.43999987840652466, -0.6690274477005005, 0.7317618727684021, -1.2693498134613037, -0.03545694798231125, -1.073599934577942, -1.0545716285705566, 0.357138991355896, -1.0356872081756592, 0.6460034251213074, 0.6948012709617615, 0.035443760454654694, -0.41864654421806335, -1.4476852416992188, 0.6990818977355957, -0.8923770785331726, -0.41435086727142334, 0.718876302242279, -0.1445789337158203, 0.3810029625892639, -0.2908794581890106, -0.58222496509552, 0.4143712818622589, -0.026356788352131844, -0.11797317862510681, -1.2927852869033813, -0.6887663006782532, -0.039924658834934235, 0.04794115573167801, 0.2503212094306946, -0.10799466073513031, -0.22823667526245117, 0.9615522027015686, -0.2559453248977661, -0.9793422818183899, 0.2574060559272766, -0.23085333406925201, -1.137337565422058, -0.22413408756256104, -0.508378803730011, 0.48087984323501587, -0.5881272554397583, 1.3252766132354736, -0.15011854469776154, 2.100290298461914, 0.7573974132537842, 1.1927766799926758, 0.1117083802819252, -1.4905524253845215, 0.20575517416000366, 0.13672886788845062, 1.2834124565124512, -1.4718105792999268, -1.2324683666229248, -0.3020119071006775, 0.17502237856388092, 0.28277161717414856, -0.40269601345062256, -0.1242733970284462, 1.0258311033248901, -0.7330267429351807, -1.066760778427124, -1.1756293773651123, 0.03343242034316063, -0.6278706192970276, 0.6639840006828308, 0.3206897974014282, 0.43862009048461914, 0.8014351725578308, -1.7416985034942627, -0.2366894781589508, 0.4698009490966797, -1.4494879245758057, 0.013999911956489086, -0.19274716079235077, -0.8143898844718933, -0.06547331809997559, 0.6866455078125, -0.5425894260406494, 0.2075527161359787, 1.4628957509994507, 0.6049609780311584, 0.30249300599098206, -0.45756834745407104, 0.3910169303417206, -0.0159794669598341, 0.611577033996582, 0.07903185486793518, -0.06407163292169571, -0.8905550837516785, 0.6967190504074097, -0.7510416507720947, -0.567373514175415, -1.2568421363830566, -0.3748941421508789, 0.25506430864334106, -0.7074505686759949, 0.5013735890388489, -1.0895836353302002, 0.7115610241889954, 0.35070592164993286, -1.2270660400390625, -0.08605386316776276, 0.8780876398086548, 0.12160941958427429, 0.07498056441545486, -0.2879863381385803, 0.09631135314702988, 0.46445024013519287, -1.2828874588012695, 1.2017204761505127, 0.46968480944633484, 0.8132616281509399, 1.4589370489120483, 1.3719706535339355, -0.09618531167507172, 0.516022264957428, 0.0048174490220844746, -0.5836046934127808, 0.8564770221710205, 0.5195621252059937, -0.3597324788570404, -0.3269931972026825, -0.04206051304936409, -0.2814651429653168, 0.9138548970222473, -0.10864389687776566, 0.497902512550354, -0.1627696007490158, 1.426787257194519, -0.12717583775520325, -0.1728621870279312, -0.42989131808280945, 0.2617764174938202, 0.3091247081756592, 0.010920682922005653, -0.24566425383090973, 0.5727607607841492, 0.519172728061676, 0.8840273022651672, -0.39051586389541626, 0.8992411494255066, 0.9287505149841309, -0.19779299199581146, 1.3991247415542603, 0.09234624356031418, -0.4897199273109436, -1.2167632579803467, 0.025256019085645676, 0.1222529485821724, 0.14752192795276642, 0.6220406293869019, 0.2833833396434784, -0.1921325922012329, 0.11052031815052032, -0.23766446113586426, -0.01827317848801613, 0.07214175909757614, -0.595687985420227, -0.061364881694316864, 0.028756992891430855, -0.14420029520988464, 0.15673193335533142, -0.5465828776359558, 0.8036540746688843, 0.5932283997535706, -0.25680840015411377, -0.16709746420383453, -0.16177231073379517, 0.003801657585427165, -0.21543888747692108, -0.6381134986877441, -1.365899920463562, -0.19100677967071533, 0.8704431653022766, 0.5349712371826172, -0.34737229347229004, -0.5781904458999634, 0.7471734881401062, -0.3069630265235901, 0.29652681946754456, -0.18376389145851135, -0.7500483393669128, -0.44881942868232727, -1.082706093788147, 0.6068091988563538, 0.14761461317539215, 0.7521011829376221, -0.6909979581832886, -1.3762773275375366, 0.2583460807800293, -0.580569326877594, -0.5152437090873718, -0.4580368399620056, 1.1211142539978027, -0.9765841960906982, -0.6225476861000061, 0.33436885476112366, 0.3596734404563904, -0.5903002619743347, -0.24984732270240784, -1.005690097808838, -0.6522921323776245, 0.26292774081230164, 0.21893350780010223, 1.2817738056182861, 0.6099055409431458, -0.544587254524231, 1.0014921426773071, 1.4056227207183838, -0.943139374256134, 0.8898937106132507, -0.24585191905498505, -0.3930657207965851, -0.05184314027428627, 0.0008038207306526601, 0.5182911157608032, 1.073636770248413, -1.0005115270614624, 0.686344563961029, 0.28865236043930054, 1.7286344766616821, 1.2364113330841064, 1.0967628955841064, -0.09981297701597214, 0.35870999097824097, 0.4015137255191803, 0.5970398783683777, -0.15987254679203033, -1.3027831315994263, -0.5620919466018677, -1.690153956413269, -1.594545602798462, 0.25299328565597534, -0.533416748046875, -0.036894287914037704, 0.3440585434436798, -0.2950194180011749, 0.6167722344398499, -0.15897344052791595, -0.11132332682609558, -0.2051861584186554, -0.4947041869163513, 0.4993901252746582, 0.7574097514152527, -2.370720624923706, 1.4491631984710693, -1.4262136220932007, 0.13667206466197968, -0.9378637075424194, 0.12807418406009674, 0.12261734902858734, -0.8601024150848389, -0.3231598734855652, -1.3267722129821777, 0.6780335903167725, 1.0452778339385986, 1.0606334209442139, -0.991711437702179, -0.6941179037094116, -0.5919181108474731, 1.3148995637893677, -0.16064076125621796, 0.15572772920131683, -0.5557767748832703, -0.12223612517118454, -0.7202336192131042, -0.021203534677624702, -0.9869136214256287, -0.10382481664419174, -0.050424881279468536, -0.44711050391197205, 0.47064775228500366, -1.2851126194000244, -0.06462453305721283, 0.5949596762657166, 0.459681898355484, -0.6436147689819336, 0.5176588296890259, 0.006345534231513739, -0.7741072773933411, 0.034845177084207535, 0.756149411201477, -0.9135239124298096, -6.844329357147217, 0.9547032117843628, -0.005426877178251743, 0.25190049409866333, 0.6037365198135376, -0.6909472346305847, 1.121983289718628, -0.7527382373809814, 0.8844295740127563, -0.4037320911884308, 0.21381831169128418, 0.4610554873943329, -1.115281343460083, -0.15108028054237366, 0.29388657212257385, 0.12418870627880096, -0.08838127553462982, -0.7378066778182983, -0.6704214215278625, -0.9639175534248352, 0.1821511685848236, -0.8185622096061707, 0.1611485779285431, -0.2062682956457138, 0.47065475583076477, 0.34819066524505615, 0.6790025234222412, -0.2481924444437027, -0.40167102217674255, 0.8272936344146729, 0.6694324016571045, 0.47035157680511475, -0.23891250789165497, 0.7703337073326111, 1.0571393966674805, -1.9374953508377075, 0.8344176411628723, 0.7234591245651245, 0.4637438654899597, 1.1174479722976685, 0.28238993883132935, 0.4655754566192627, 1.1735783815383911, -1.659740686416626, -0.2165127843618393, -0.7643197774887085, -1.3673982620239258, 0.0030816206708550453, -1.030983567237854, 0.3237299621105194, 0.7856717109680176, -0.41450613737106323, 0.07047998905181885, 0.4094077944755554, 0.6101070046424866, -1.1685194969177246, 0.02809709496796131, 0.27028709650039673, -1.2188876867294312, -2.170583963394165, -0.12694904208183289, -0.9686723947525024, -0.25328385829925537, -0.1427943855524063, -0.9604393243789673, -2.2751121520996094, -0.5909518599510193, 0.5282685160636902, -0.14945998787879944, 1.143642544746399, 0.17328132688999176, -1.085936427116394, -0.6732483506202698, 0.37638482451438904, 0.09457051753997803, -0.8546175360679626, -0.47291234135627747, 0.5413141250610352, -0.37930363416671753, -0.3856007754802704, -0.6458110213279724, 0.22457000613212585, 0.0781334638595581, -0.18929891288280487, 1.5781546831130981, -1.0632562637329102, 0.07239793986082077, -0.6884417533874512, 1.1151223182678223, -0.2329263687133789, -0.2050647884607315, -1.4670408964157104, -1.1480765342712402, 0.9244195222854614, -0.16541063785552979, 0.2089122086763382, 0.9056464433670044, -0.4145697057247162, -0.18715952336788177, -0.10843124985694885, -0.6128081679344177, 0.42592695355415344, -0.3880676329135895, 0.020451620221138, 0.7221481204032898, 1.4746372699737549, 0.4033723771572113, -1.3882637023925781, 0.03694147244095802, 0.9431852102279663, 0.3882904052734375, -0.4603842496871948, 1.5105535984039307, -0.34788352251052856, -0.7404882907867432, -0.43666526675224304, 0.9414175152778625, -0.08041884005069733, 0.5569770932197571, -1.3963292837142944, -0.7703715562820435, -0.4267074763774872, -1.6426805257797241, -1.485507607460022, 2.520282030105591, 0.42630597949028015, 0.5135977268218994, -0.4139191806316376, -0.8543275594711304, 0.043498747050762177, -0.055718228220939636, -0.15414385497570038, 0.17794421315193176, -0.12722624838352203, 0.3348615765571594, 0.06765391677618027, 0.3872326612472534, 0.11277443170547485, -0.8724703788757324, 0.36135420203208923, 1.734930157661438, 0.5637167692184448, 0.08252876996994019, -0.28165867924690247, -0.39264094829559326, -1.0700854063034058, 0.10985758900642395, -0.37024641036987305, 0.6794684529304504, -0.2716117799282074, -1.1563560962677002, 0.060521163046360016, 0.47848859429359436, 1.965879201889038, 0.7665303349494934, -0.960551381111145, -0.7154434323310852, -0.1826479285955429, 0.8375146985054016, 0.3816283345222473, -0.5083457827568054, -0.7666943073272705, -0.4149448871612549, -0.7688098549842834, -0.18912269175052643, -1.5207332372665405, -0.4518411159515381, 0.1797875016927719, 1.3459103107452393, 0.44446197152137756, -0.38884419202804565, 0.8294217586517334, -0.044408392161130905, 1.7813618183135986, -0.8445426225662231, 0.1872735470533371, -0.22286565601825714, 0.2514397203922272, 0.1272743046283722, -0.5085799694061279, -0.4013214111328125, 1.0045802593231201, 0.5507034659385681, 0.029543492943048477, -0.32543468475341797, 0.9063040018081665, 0.6453103423118591, 0.3309047222137451, 0.4426005184650421, -0.6734477281570435, -0.07736925780773163, -0.7867031097412109, -1.0350924730300903, 0.4820267856121063, -0.5646080374717712, 0.19235654175281525, 0.185337096452713, 1.329788088798523, -0.7221519947052002, 0.3383682370185852, -1.1697605848312378, 1.376288890838623, -0.19720812141895294, 0.8529165387153625, 0.9735922813415527, 0.8587945699691772, 0.41381779313087463, 0.1467665135860443, -1.5042479038238525, 0.16016314923763275, -0.09534569084644318, 0.31213900446891785 ]
1,023
0704.1025
Terry Sloan
S.Bevan, S.Danaher, J.Perkin, S.Ralph, C.Rhodes, L.Thompson, T.Sloan and D.Waters
Simulation of Ultra High Energy Neutrino Interactions in Ice and Water
null
Astropart.Phys.28:366-379,2007
10.1016/j.astropartphys.2007.08.001
null
astro-ph
null
The CORSIKA program, usually used to simulate extensive cosmic ray air showers, has been adapted to work in a water or ice medium. The adapted CORSIKA code was used to simulate hadronic showers produced by neutrino interactions. The simulated showers have been used to study the spatial distribution of the deposited energy in the showers. This allows a more precise determination of the acoustic signals produced by ultra high energy neutrinos than has been possible previously. The properties of the acoustic signals generated by such showers are described.
[ { "created": "Sun, 8 Apr 2007 12:59:08 GMT", "version": "v1" } ]
2009-06-23
[ [ "Bevan", "S.", "" ], [ "Danaher", "S.", "" ], [ "Perkin", "J.", "" ], [ "Ralph", "S.", "" ], [ "Rhodes", "C.", "" ], [ "Thompson", "L.", "" ], [ "Sloan", "T.", "" ], [ "Waters", "D.", "" ] ]
07
[ -0.5263781547546387, -1.1065118312835693, 0.5984450578689575, 0.37046054005622864, -0.4395081102848053, -0.1803392916917801, 0.9737937450408936, 1.4488461017608643, -0.8795351386070251, -0.8170703649520874, -0.06244141608476639, 0.8108551502227783, -0.4212849736213684, 0.11128967255353928, 0.19947704672813416, -0.13474799692630768, -1.1663765907287598, -2.718567132949829, 0.3792664408683777, -0.17505040764808655, -0.41109466552734375, -1.093918800354004, 1.0896061658859253, 0.34651485085487366, -0.032951582223176956, 0.11114143580198288, 0.17180468142032623, 0.3394823670387268, 0.07857101410627365, 0.20032861828804016, 0.7870665192604065, -0.294160932302475, 0.04005768150091171, 0.004971408285200596, -0.40013810992240906, -0.5716971158981323, 0.4884679913520813, -0.1729898899793625, -1.2474223375320435, 0.560204029083252, -0.7693417072296143, 0.126536026597023, 0.07481497526168823, -0.28271591663360596, -0.14676590263843536, 0.34303680062294006, 0.483786404132843, 1.0871546268463135, 0.5422153472900391, -0.7801139950752258, 0.5643182992935181, -0.06754666566848755, 1.0798225402832031, 1.1334034204483032, 0.16410444676876068, 0.03176525980234146, 0.12067826092243195, 0.12063338607549667, -0.0015769501915201545, -1.0655423402786255, -0.6649067401885986, -0.45765307545661926, 0.06880742311477661, 0.4245806336402893, -1.0171071290969849, -0.24579451978206635, 0.4911350607872009, 0.5184303522109985, -0.8677108287811279, 1.27586030960083, -0.29216331243515015, -0.21893008053302765, 0.4212423861026764, 0.2402876615524292, -1.3744773864746094, 0.30508285760879517, 0.08717654645442963, 0.08800508826971054, 0.9858394265174866, 0.18946707248687744, -0.124178946018219, 0.14887617528438568, 0.3827694356441498, 0.0259218979626894, -0.9825640320777893, -0.05903413146734238, -0.09202848374843597, -0.26609861850738525, -1.771527886390686, -0.4187830686569214, -0.4599626064300537, -0.26149967312812805, -1.134749174118042, -0.7818697690963745, 0.8505855798721313, 0.7110960483551025, -0.7537951469421387, 1.133486032485962, -0.0022766541223973036, -0.2425273209810257, 0.10860202461481094, 1.4067716598510742, -0.44640442728996277, -0.40023040771484375, 0.8834677934646606, 0.2187078893184662, -1.1885371208190918, -0.4796062409877777, -1.6319255828857422, -0.0574462004005909, 0.7037147283554077, 0.3813881576061249, -1.1820529699325562, 0.08544851094484329, -1.3082383871078491, -0.9216863512992859, 1.284254550933838, -0.3458310067653656, -0.4929971992969513, 1.0492161512374878, 0.43506568670272827, 1.2506294250488281, -0.31102466583251953, 0.5423401594161987, 0.44561102986335754, -0.5872786045074463, -0.8398651480674744, -1.0301964282989502, 0.44944605231285095, 0.33348140120506287, -0.25068721175193787, -0.3200930953025818, 0.5629544854164124, 0.8804714679718018, 1.598008632659912, 0.15735739469528198, -0.3740510046482086, 0.6563580632209778, 0.9486528635025024, 0.17654657363891602, -0.43668851256370544, -0.39951086044311523, 0.18149729073047638, 0.2815625071525574, 0.03622663766145706, 0.5672616958618164, -0.19699902832508087, 0.14954711496829987, 1.3231817483901978, -1.4961719512939453, -0.17691196501255035, -0.16183117032051086, -0.031083423644304276, -0.20384682714939117, -0.1915425807237625, 0.10211777687072754, 0.8241609334945679, 0.5894150137901306, -0.4201931059360504, 1.1572741270065308, 0.820568859577179, 1.0331523418426514, 1.3983941078186035, 0.9648767113685608, -0.38546282052993774, -0.026160599663853645, -0.15430870652198792, 0.6321772336959839, -0.6911335587501526, -0.5085052847862244, 0.05302277207374573, -0.2776049077510834, -0.10300992429256439, 0.052705008536577225, -0.012032472528517246, -0.1712353229522705, 1.2002863883972168, -0.2783639132976532, 0.21337690949440002, 0.237496018409729, 0.3476387858390808, -0.2675791084766388, 0.2719697654247284, -1.2684186697006226, 0.22054944932460785, 0.2152918130159378, -0.4623861312866211, -0.2786426246166229, 0.018882425501942635, -1.4713077545166016, -0.8739089369773865, 1.2398686408996582, -0.7838422060012817, -0.06263691931962967, -0.8562417030334473, 0.0830734446644783, 0.29692530632019043, -0.04306311905384064, -0.2526135742664337, -0.9841601848602295, -0.1096913143992424, 0.7259349226951599, 1.1417869329452515, -1.0441863536834717, -0.3244781792163849, 0.15019623935222626, -1.2691094875335693, 0.26899436116218567, -0.8891271948814392, 0.3156575858592987, -1.310533046722412, 0.3356788456439972, -0.2503351867198944, -0.36674657464027405, -0.14490030705928802, -0.12325447797775269, 0.46192699670791626, 0.4989975094795227, 0.23632188141345978, -0.9979654550552368, -0.360134094953537, 0.3995252549648285, 0.3753754794597626, 0.6445747017860413, -0.3090682327747345, -0.38325899839401245, 0.5282453298568726, 0.3481486439704895, -0.26724308729171753, 0.17153958976268768, 0.4453037679195404, 0.18704897165298462, -0.7392764687538147, -0.49483510851860046, 0.7320320010185242, 0.7703936696052551, -0.6448911428451538, -0.5889030694961548, -1.5261719226837158, -1.1051961183547974, -0.5587837100028992, -0.0913643091917038, -0.12869307398796082, 0.3974783420562744, -0.9506881237030029, -0.2760176360607147, 0.4375104010105133, 0.4170199930667877, 0.5945015549659729, -0.5221208930015564, -0.6435811519622803, 0.07589512318372726, 0.9085976481437683, -1.4175081253051758, -1.0705251693725586, 0.09011927247047424, -0.21494096517562866, -1.4005835056304932, 0.4876346290111542, 0.7277422547340393, -0.23286838829517365, -0.4346659183502197, 0.1453590989112854, 0.36269819736480713, -1.2673630714416504, -0.5888917446136475, 0.04584739729762077, -0.46682870388031006, -0.3024956285953522, -0.6650722026824951, 0.12618286907672882, -1.379590630531311, 0.8406782746315002, -0.13128802180290222, -0.18938001990318298, -1.3982130289077759, 0.024828601628541946, -0.6187816262245178, -0.3680661916732788, -0.9663200974464417, -0.30588245391845703, -1.1187682151794434, 1.175910234451294, 0.7114033102989197, 0.5768966674804688, -0.14662224054336548, 0.45400339365005493, 0.026549208909273148, 2.0443108081817627, -0.20333236455917358, 0.41827911138534546, -1.141495943069458, -0.12728512287139893, 0.86177659034729, 0.28592658042907715, 0.46186989545822144, 0.7146539688110352, 0.26053276658058167, -0.29838210344314575, -0.7659511566162109, 0.040917105972766876, -0.4544382691383362, -0.8308835625648499, 0.23648661375045776, 0.35408473014831543, -0.3533863127231598, 0.03358238935470581, -0.27939364314079285, 0.7659042477607727, -0.8896654844284058, -0.20224207639694214, -1.247149109840393, -0.4811529219150543, 0.4294843375682831, 1.6188992261886597, 0.3881022036075592, 1.2655701637268066, -0.12144312262535095, -1.1197549104690552, 0.4481132924556732, 0.16250695288181305, 0.1484377682209015, -0.362201452255249, 0.272361695766449, -0.6826179623603821, 0.38155317306518555, 0.24402399361133575, 0.14000988006591797, 0.5187843441963196, 0.23249311745166779, 0.5523577928543091, -0.8312986493110657, -1.1438720226287842, -0.339942067861557, -0.43355920910835266, -0.787643313407898, 0.7468611001968384, 0.2793163061141968, 0.4976593852043152, -1.0755916833877563, -0.5129809975624084, 1.4613877534866333, 0.13171038031578064, 0.995871365070343, -0.9090665578842163, -1.440346598625183, -0.5522172451019287, 0.26196587085723877, 0.027022089809179306, -0.3538769483566284, -0.39602214097976685, 0.43253618478775024, 1.1020485162734985, 1.6961300373077393, -0.3663845658302307, 0.4102775454521179, 0.5590149164199829, 0.15442529320716858, 1.0537028312683105, 0.0027106318157166243, -0.7448559999465942, -0.6200281381607056, -0.8613532781600952, 0.7137356400489807, 0.7198274731636047, -0.4459535777568817, -0.44251275062561035, -0.889479398727417, 0.10711823403835297, -0.09224115312099457, -0.10767095535993576, 0.2182430624961853, -0.6659271121025085, -1.741635799407959, -1.1128026247024536, 0.5325015783309937, -0.3996351361274719, 0.08191637694835663, -0.7100715041160583, -0.20644819736480713, -0.6495167016983032, -0.055542778223752975, -0.2619860768318176, -0.10850652307271957, -1.0697487592697144, -0.15471568703651428, -0.19119898974895477, 0.4086388945579529, -0.32880669832229614, 0.7961227893829346, -0.6020163893699646, -0.5439655780792236, 0.29636454582214355, -0.045544277876615524, 0.8154805898666382, 0.7400376796722412, -0.41392919421195984, 1.3989382982254028, 1.1888630390167236, -0.4461839199066162, 0.9756647944450378, -0.4464542865753174, 0.2308005690574646, -1.3102052211761475, -0.6516159176826477, -0.4158817231655121, -0.5409286618232727, -0.20516523718833923, 0.13939633965492249, -1.6093685626983643, 0.1286310851573944, -0.04492069035768509, 1.1045188903808594, 1.5569052696228027, 1.33107328414917, -0.3488084077835083, -1.1486668586730957, 0.7331717610359192, -1.369325876235962, 0.8011956810951233, 0.8317278027534485, 0.002334209159016609, 0.05163009837269783, 0.917780876159668, 0.013292357325553894, 0.7510607242584229, -0.6506536602973938, -0.7070576548576355, 0.07286200672388077, 0.5490334033966064, -1.6834100484848022, -0.36677056550979614, -1.0425949096679688, -0.99152010679245, 0.7695344686508179, -0.4623481035232544, 0.36829906702041626, -0.19353418052196503, -0.5657491683959961, 0.5123488903045654, -0.7391690611839294, -0.7359376549720764, -0.5309203863143921, 0.1858079433441162, -0.8365781903266907, 0.2767232060432434, -0.6711136102676392, 1.2992810010910034, 1.3725193738937378, 0.504912793636322, -0.3235916793346405, -1.1086350679397583, -0.5562939047813416, -0.21286563575267792, -0.008258666843175888, -0.8216812014579773, -1.7852202653884888, 1.0028139352798462, -0.79720139503479, -0.05878829583525658, 0.6028516292572021, 0.06157044321298599, 0.36379703879356384, -0.9104002714157104, 0.7397571206092834, -0.9962799549102783, 0.19498704373836517, -0.41174596548080444, 0.04183368757367134, -0.21290653944015503, 0.24387016892433167, -0.7359277009963989, 1.1070269346237183, -0.7086282968521118, 0.6042464375495911, 1.4215154647827148, 0.39498981833457947, 0.45900100469589233, 0.0764351561665535, 0.7172458171844482, 0.290814608335495, 0.596717357635498, -0.8693055510520935, 0.176264688372612, -0.07138456404209137, 1.1211386919021606, -0.7723478078842163, -0.8906714916229248, 1.3101986646652222, 0.27202731370925903, -0.2153855264186859, 1.172191858291626, 1.048242211341858, 0.6384260654449463, 0.0038346166256815195, -0.04162728786468506, -0.6133101582527161, -0.854055643081665, -0.5150424242019653, 1.0945967435836792, 0.4666668176651001, -0.8037277460098267, -0.06287261843681335, -0.16651713848114014, -0.4108828604221344, -0.2277519851922989, -0.9182893633842468, 0.8803038597106934, -0.6036902070045471, 0.5942977070808411, -0.6357654929161072, 0.5694699287414551, 0.1999940425157547, -0.34483230113983154, 0.24154028296470642, -0.01383797638118267, 0.9398902654647827, -3.302241802215576, -1.234919786453247, -0.004725700244307518, -0.3746979832649231, 0.5225365161895752, -0.7524160742759705, -1.0963305234909058, -0.5312904119491577, -0.46140602231025696, 0.2886869013309479, -0.4257065951824188, -1.1937741041183472, 0.7818062901496887, -0.553759753704071, -0.08498834073543549, 0.6935529112815857, -0.4511772096157074, -1.6047407388687134, -1.1374971866607666, -0.20063790678977966, -0.5059326887130737, -0.010810675099492073, -0.7654632329940796, -0.4584443271160126, 1.003434419631958, -0.2830946445465088, -0.5834836363792419, -1.1225666999816895, -0.09819819033145905, -0.7518397569656372, 0.2263307422399521, 2.0248374938964844, -0.3090594410896301, 0.7036061882972717, -0.4341118037700653, 0.8536204099655151, -0.41541215777397156, 1.7148936986923218, -0.48176446557044983, -7.740927219390869, 0.7222384810447693, -0.47445452213287354, -0.5352310538291931, 0.6328203082084656, 1.728819489479065, -0.9984663724899292, -0.4296993017196655, 0.6196184754371643, 0.22881220281124115, -0.908835232257843, -0.41032835841178894, 0.6074723601341248, -0.6564856171607971, -0.32587558031082153, -0.16799244284629822, -0.4183770418167114, -0.04405011236667633, 0.2498980313539505, -1.3892549276351929, 0.2982032299041748, 1.0251030921936035, 0.283384770154953, -0.6427432894706726, -0.2191670835018158, -0.5198295712471008, 0.34120479226112366, 0.10256335139274597, -1.1636691093444824, 1.3484934568405151, 0.6497281193733215, 0.4360654056072235, -0.0663965567946434, 0.4324510395526886, 0.1631336361169815, -0.24686971306800842, -0.08243832737207413, 0.2577451765537262, 0.7684687376022339, 0.12010489404201508, 0.026074349880218506, -0.0307081937789917, -0.8730666041374207, -1.1590379476547241, 0.38332995772361755, -0.21981173753738403, -0.2227107286453247, 0.1449030488729477, 0.4012961983680725, 1.3671655654907227, -0.22344264388084412, -1.2502444982528687, 0.18499527871608734, 0.2559250593185425, 0.08035555481910706, -0.9303208589553833, 0.21231776475906372, 0.17591887712478638, -0.3731439411640167, -0.26473402976989746, 0.07392776757478714, -1.278888463973999, -1.0983961820602417, -1.1774921417236328, -0.3508879840373993, -0.8256148099899292, 1.223772644996643, -1.1370207071304321, -0.21820388734340668, -0.17713764309883118, 0.1593555063009262, 0.7183783054351807, 1.0679919719696045, -0.857262372970581, 1.1335517168045044, -0.10706401616334915, -0.6462591290473938, -0.7290189862251282, 0.34703418612480164, 0.4110369384288788, -0.3235715627670288, 0.7403397560119629, 1.0632869005203247, 1.1546803712844849, -0.5104470252990723, -0.9888858795166016, -0.5385633111000061, -0.073524110019207, 0.567552924156189, -0.8941364884376526, 0.5135901570320129, -0.32189086079597473, 0.4025043845176697, 0.12444251775741577, 0.8071529269218445, 0.578755259513855, 0.16975708305835724, -0.3029174506664276, -0.17212854325771332, 0.17647846043109894, -0.13667616248130798, -0.42052361369132996, 0.6945598125457764, -0.3287097215652466, -0.07536493241786957, -0.2439732551574707, 0.4580518901348114, 0.6045068502426147, 0.28668636083602905, -0.34226083755493164, 0.39589568972587585, -0.24656543135643005, -1.3761909008026123, 0.9174418449401855, -1.7364751100540161, -0.35261353850364685, -0.3708200454711914, 0.5922717452049255, -0.25673264265060425, -0.10266769677400589, -0.5598395466804504, 0.18301159143447876, -0.5021262168884277, 0.5712078213691711, 0.7265749573707581, 0.12889742851257324, -0.07828950881958008, 0.6150867938995361, -0.7760469913482666, 0.9732217788696289, -0.12273113429546356, 0.28247296810150146, 1.283066749572754, -0.4838944375514984, 0.6586554050445557, 0.7669457197189331, 0.6467446088790894, 1.180715799331665, -1.4070647954940796, 0.7146878242492676, 0.8276711702346802, -0.11750964820384979, 0.658665120601654, -1.284950852394104, 0.310818612575531, -0.5987600088119507, 0.04598446190357208, -0.14920194447040558, -0.5946769714355469, 0.047923825681209564, 0.2792680859565735, 1.191684365272522, -0.9697011113166809, 1.499079704284668, 0.22323013842105865, -1.0577349662780762, -0.4828941226005554, -0.31322211027145386, 0.8056666254997253, 1.1649489402770996, 0.28449419140815735, 0.4446667432785034, -1.54855215549469, -0.6021840572357178, -1.5153216123580933, 1.1130046844482422, 0.8604974746704102, 0.5178952217102051, -0.2968057096004486, -0.7956545948982239, 0.7769238948822021, -1.1333250999450684, -1.6859458684921265, 0.8030956983566284, -0.7017572522163391, -0.8203728199005127, 0.06367404758930206, -0.020953183993697166, 0.7244765162467957, -0.237336203455925, 0.02527308091521263, 0.6646709442138672, 0.4654540717601776, 1.4344426393508911, 0.5636258721351624, 1.3374505043029785, -0.668765127658844, 1.3027985095977783, -1.3897724151611328, -0.39494383335113525, 0.19845867156982422, 1.057783842086792, -0.9943467974662781, -0.092531219124794, -1.028341293334961, -0.41821736097335815, -0.6950905323028564, 0.01972706988453865, 0.6927981376647949, 1.1236473321914673, -0.03077220357954502, 0.8251762986183167, -0.2683653235435486, -0.006709189619868994, 0.4534549415111542, -0.08664393424987793, -1.3588181734085083, 0.5345991849899292, 1.5488369464874268, -0.631353497505188, -1.100494384765625, 0.2864408791065216 ]
1,024
0704.1026
Yi Wang
Miao Li, Yi Wang
The Measure for the Multiverse and the Probability for Inflation
16 pages
JCAP 0706:012,2007
10.1088/1475-7516/2007/06/012
USTC-ICTS-07-07
hep-th astro-ph gr-qc
null
We investigate the measure problem in the framework of inflationary cosmology. The measure of the history space is constructed and applied to inflation models. Using this measure, it is shown that the probability for the generalized single field slow roll inflation to last for $N$ e-folds is suppressed by a factor $\exp(-3N)$, and the probability for the generalized $n$-field slow roll inflation is suppressed by a much larger factor $\exp(-3nN)$. Some non-inflationary models such as the cyclic model do not suffer from this difficulty.
[ { "created": "Mon, 9 Apr 2007 14:02:30 GMT", "version": "v1" } ]
2010-10-27
[ [ "Li", "Miao", "" ], [ "Wang", "Yi", "" ] ]
07
[ -0.4178174138069153, 0.4289340674877167, 0.14196620881557465, -0.31788498163223267, 0.9234569668769836, -1.0086474418640137, 0.5104386210441589, 1.5032172203063965, 0.584999144077301, -0.9128785133361816, -0.48590680956840515, 0.36327922344207764, -0.5973730087280273, 0.6135085821151733, -1.43055260181427, 0.054311126470565796, 0.49457255005836487, 1.2524093389511108, 0.20907294750213623, -1.1803628206253052, 0.5560832023620605, -0.3300045430660248, -1.1591037511825562, -0.23833680152893066, 0.6428403854370117, 0.04277538135647774, -0.34744542837142944, 0.9920238256454468, -0.5674877166748047, -0.530070424079895, -0.3342874348163605, 0.9171544313430786, 0.8711285591125488, 0.4776407480239868, -0.050956420600414276, 0.6426981091499329, 0.8766396641731262, -0.5832531452178955, -0.38657277822494507, 0.9372527003288269, -0.8446570038795471, 1.6471896171569824, 0.29013165831565857, -0.16600845754146576, -0.13395234942436218, -1.3989566564559937, -0.52660071849823, -0.25074294209480286, 1.4358303546905518, 0.9443780779838562, -0.49005699157714844, 2.0386176109313965, -0.05292462185025215, -0.5857253074645996, -0.5814436078071594, 1.054379940032959, -0.7142232060432434, -1.4970040321350098, 0.4509199559688568, 0.014863263815641403, 0.14046356081962585, 0.9448922276496887, 0.04808489978313446, 0.6881221532821655, -0.9221723079681396, -0.5038949251174927, 0.04188637062907219, -0.18457870185375214, -0.36162665486335754, -0.7384641766548157, 0.7240573167800903, -0.33218321204185486, -1.145939826965332, -1.1518718004226685, -0.655852735042572, -0.37775346636772156, 0.8286398649215698, -0.09804195910692215, 1.0797803401947021, -2.496112585067749, 1.6795871257781982, 0.5054797530174255, -0.6657261252403259, 0.08288448303937912, 0.3711532950401306, 0.10120721906423569, 0.467385858297348, 1.3610632419586182, -0.8939508199691772, 0.9553154706954956, -0.40404239296913147, -1.150972604751587, 0.624116063117981, 0.15976335108280182, 0.5807936787605286, -0.6976504325866699, 0.03137131407856941, 0.16186563670635223, 0.989380955696106, 1.056950330734253, 0.24233990907669067, -1.0335757732391357, 0.972114086151123, 0.16211354732513428, -0.3394652307033539, -0.5664539337158203, -1.0405470132827759, -0.974358081817627, -0.287950724363327, -0.4095260798931122, 0.3330264091491699, 0.4519723355770111, -0.030499586835503578, 0.7360188961029053, -0.08217717707157135, -0.8133471012115479, -0.335312157869339, 0.4761546552181244, -1.125065565109253, -0.6174665093421936, 0.15363945066928864, -0.38573092222213745, 0.18053457140922546, -0.45367464423179626, 2.17917537689209, -0.7324177026748657, -0.2834630608558655, -0.7523684501647949, -0.8318729996681213, 0.09778290241956711, 0.602808952331543, -0.6520662903785706, 0.20233964920043945, -0.9278212785720825, -0.206372931599617, 0.8730080127716064, 1.5841350555419922, -0.5298125743865967, 0.704899251461029, -0.8215024471282959, 0.9700666069984436, -0.07699915766716003, 0.25940293073654175, -1.3041881322860718, 1.0871703624725342, -0.6157699227333069, -0.2839431166648865, -0.017917627468705177, -0.25491198897361755, 0.10362282395362854, -0.6254074573516846, -0.9544682502746582, -0.5655739903450012, -0.16065442562103271, 0.26432687044143677, -0.8782628774642944, -0.12384918332099915, -0.23201297223567963, 0.26314613223075867, -0.33795133233070374, -0.4109914004802704, -1.1705424785614014, 0.8325327038764954, -0.02528015710413456, 0.03351584076881409, 0.33051446080207825, -0.6175920963287354, -1.1726511716842651, -0.08096956461668015, -0.32422935962677, -0.7687975168228149, -0.00664696516469121, -1.0583720207214355, -1.0647307634353638, -0.649106502532959, -0.5940778851509094, 0.706728458404541, 0.05617149919271469, -0.7036746740341187, -0.5736030340194702, 1.5108658075332642, 0.8750874400138855, -0.10882119834423065, 0.41680338978767395, 0.03644857555627823, -1.2804027795791626, -0.723198413848877, -1.243155837059021, -0.21702609956264496, 0.5580632090568542, -0.3983255922794342, -0.19565126299858093, -0.7191893458366394, 0.26530614495277405, -0.5738660097122192, 1.4480034112930298, 0.07583967596292496, 0.9364125728607178, -0.14023122191429138, -0.7893118262290955, 0.5746647715568542, -0.32545000314712524, -0.9589196443557739, -1.3034242391586304, -1.1113882064819336, 0.19018661975860596, 0.2754213809967041, -0.1483553946018219, -0.8421066403388977, 0.044247157871723175, 0.20262672007083893, 0.39674559235572815, 0.24196098744869232, -1.1501249074935913, 0.6164249777793884, -0.08766913414001465, 0.7859987020492554, -0.5491526126861572, 0.4490942656993866, -0.3331625759601593, 0.7827418446540833, 0.2449604719877243, -0.0602186843752861, 0.4088011384010315, -0.4587211012840271, -0.203072652220726, 0.10795143246650696, -0.36261484026908875, 0.3520777225494385, -1.0305777788162231, 0.7896490693092346, -0.8385993242263794, 0.5962476134300232, -0.6386092901229858, -0.029393669217824936, 1.2970695495605469, 0.09715907275676727, -0.6471865773200989, -0.0032792312558740377, -0.11806489527225494, 1.090120792388916, -0.7023010849952698, -0.6563376784324646, -0.6277305483818054, 0.6935293078422546, -0.2852180302143097, -0.5793478488922119, -0.6640090942382812, 1.0879918336868286, 0.04236343875527382, -0.41886550188064575, -0.8466959595680237, 0.9631508588790894, -0.2003789246082306, 0.20027601718902588, 0.7090826034545898, 0.18384966254234314, -0.21036013960838318, -0.45470356941223145, 0.34696781635284424, 0.6657216548919678, 0.2126854807138443, 1.0220954418182373, 1.437355875968933, -1.2369470596313477, 0.14615757763385773, -0.7494211196899414, 0.31614965200424194, 0.06840937584638596, -0.18988989293575287, -0.9913225769996643, 0.7937798500061035, 0.6129682660102844, 0.8896639943122864, -0.9540815353393555, -0.6806371212005615, 0.246646910905838, 1.5709526538848877, 0.190334752202034, -0.17986056208610535, -0.021139873191714287, 0.5581744909286499, -0.6317179799079895, 2.1481246948242188, 0.739810049533844, 0.1455741673707962, -0.5392037630081177, -0.1963844895362854, -1.6079837083816528, -0.7979927062988281, -0.7485962510108948, -0.2239934206008911, -1.2107465267181396, 0.9649362564086914, 1.207308292388916, -1.032302975654602, 1.0653795003890991, -0.326717734336853, -0.4102577865123749, -0.32333770394325256, -0.29211366176605225, -1.4987620115280151, -1.317266821861267, -0.28195106983184814, 0.30463579297065735, -0.6803341507911682, 0.7326722741127014, 0.9615631699562073, -0.45447540283203125, 1.1236172914505005, -0.18037262558937073, 0.7586137056350708, 0.14410467445850372, 0.5570511221885681, 0.43583932518959045, -0.6613989472389221, -1.0115963220596313, 0.2754027247428894, 0.5791857242584229, -0.8862947821617126, -1.6929864883422852, 0.8123422861099243, 2.069629192352295, 0.05890573561191559, -0.7006760239601135, -1.1341161727905273, -0.7667698860168457, -0.21711838245391846, 0.9357240796089172, 0.3422870337963104, 0.7975278496742249, -0.39409127831459045, 0.3732800781726837, -0.7548778057098389, 0.41694045066833496, 0.4020809233188629, 0.1151127740740776, -0.37403208017349243, 0.6648797392845154, -0.5181570649147034, 1.4923787117004395, -0.9423946142196655, -0.7333213686943054, 0.12001417577266693, 0.5370469093322754, 0.6589506268501282, 0.5354694128036499, 0.42220744490623474, -1.2873492240905762, 0.5201825499534607, 0.07606044411659241, -0.0370820052921772, -0.7716776132583618, 0.7177764177322388, -0.5024272203445435, -1.1980104446411133, 0.7492067217826843, -0.2311209738254547, 0.26374727487564087, 0.35163113474845886, -0.46189084649086, -1.0680017471313477, 0.3362148702144623, 0.7384297251701355, 0.6691301465034485, 0.23369251191616058, 0.05764001980423927, 0.2869170904159546, -0.6484556794166565, -0.8908549547195435, -1.9671034812927246, 0.6024101972579956, -1.3626385927200317, -1.2346205711364746, -0.3698432147502899, -0.24185851216316223, 0.9075583219528198, -0.03511027619242668, 0.877441942691803, 0.7042850852012634, -0.26934581995010376, 1.6591737270355225, -0.7665340900421143, -0.9400491118431091, -0.4145890772342682, -0.13405346870422363, -0.5740684270858765, -0.5042114853858948, -0.6587083339691162, -0.2987574338912964, -0.9364603757858276, 0.16649650037288666, -0.1890968382358551, 0.006984568201005459, -0.3334962725639343, -0.4746650159358978, -0.7422114610671997, -1.2195109128952026, 1.632483959197998, 0.5416997671127319, -0.8265953063964844, -0.7184184193611145, -1.572931170463562, -1.070851445198059, -0.476653128862381, -0.15183989703655243, -0.2927640974521637, 0.06814499944448471, -0.17429234087467194, -1.2129801511764526, 1.2545362710952759, 0.3193366229534149, 0.9549020528793335, -0.031786251813173294, -0.15651534497737885, -1.6275328397750854, -0.004797523375600576, -0.4295080304145813, -0.14691686630249023, 0.359486848115921, -0.05488598346710205, 0.050052937120199203, 0.7108032703399658, 0.5394167304039001, 0.04261671379208565, 0.08104821294546127, 0.7713133692741394, 0.3938271701335907, -1.0017131567001343, 1.3679848909378052, -0.257346510887146, -0.700930655002594, -0.6641402244567871, 0.5129685997962952, -0.13754965364933014, -0.3121737539768219, -0.5205212235450745, 0.27867236733436584, -0.18822148442268372, -0.09550206363201141, -1.1839101314544678, 0.5484741926193237, 0.46755844354629517, 0.8180866837501526, 0.7289960384368896, -0.841812014579773, 0.581549346446991, 0.30012741684913635, 0.42151767015457153, -0.47572195529937744, -0.19983819127082825, 0.680108904838562, -0.01135279331356287, -0.11341036111116409, -0.3818298280239105, 0.04024505615234375, 0.4591337740421295, 0.377839595079422, -1.2192316055297852, -1.1307132244110107, 0.7875457406044006, -0.5727096796035767, -0.727101743221283, -0.08726010471582413, -0.3929518759250641, -1.0001767873764038, -0.4730939269065857, 0.2026168406009674, -0.5444263815879822, 0.879463791847229, 0.9867395758628845, 0.7159814238548279, -0.7775573134422302, -1.0569491386413574, 0.6018181443214417, 0.574584424495697, -0.39928627014160156, -0.6171746253967285, -0.4294579029083252, -0.2769084870815277, 1.162843942642212, 1.2183583974838257, -0.21038134396076202, -1.1311298608779907, -0.47098109126091003, -0.29193049669265747, -0.9068818688392639, 0.6979194283485413, -0.04482254758477211, -0.0459766685962677, 0.31808599829673767, -0.3080046772956848, 0.15929922461509705, 0.4142025113105774, 0.6771339774131775, -0.4218292832374573, 0.7918903231620789, -0.7850208282470703, 1.2025024890899658, 0.1123977079987526, 0.5142715573310852, 0.28283828496932983, -0.2759188711643219, 0.6051419377326965, -0.27869823575019836, 0.7497066855430603, -0.30391284823417664, -0.7320653200149536, 0.689673125743866, 1.0157232284545898, 0.6964632272720337, -0.2658480405807495, 0.49166572093963623, 1.719265341758728, 0.8105259537696838, 0.8934503793716431, -0.7118867039680481, -2.8756840229034424, -0.41831788420677185, -0.6139221787452698, -0.35719555616378784, -0.41188865900039673, -0.005869271699339151, -0.2868357300758362, -0.2999706268310547, -0.7203710079193115, 0.6731979846954346, 0.3826815187931061, -0.6150012612342834, 0.4486856162548065, -0.469562828540802, -0.5403245687484741, 0.3392203748226166, 1.0847735404968262, -1.2529598474502563, -0.1834174394607544, -0.14798299968242645, -0.8995562791824341, 0.4131854176521301, 0.5791411399841309, 0.26017555594444275, 0.5143295526504517, -0.8732216358184814, 0.35965582728385925, 1.524724006652832, -0.3806786835193634, 0.3513553738594055, -0.28645429015159607, 0.7510615587234497, 0.029071103781461716, -0.6445257663726807, -0.052953898906707764, -0.5115004777908325, 1.0474807024002075, 0.366056352853775, -0.9732176661491394, -6.982126712799072, 0.2108275294303894, -2.033259868621826, -0.14372247457504272, 0.6598276495933533, -0.08789923787117004, -0.03583553060889244, 0.18509793281555176, 0.5229395031929016, 0.32349100708961487, 0.12382936477661133, -0.024534912779927254, -0.9455288648605347, 0.4988086521625519, 0.2441321611404419, -0.3915175497531891, -0.24220401048660278, 0.1921883225440979, -2.0652637481689453, 0.5398622155189514, -0.0527799166738987, 0.9059187769889832, 0.08631891757249832, -0.5979378819465637, 0.7348926067352295, -1.1003451347351074, -0.03235740587115288, 0.8025243878364563, 0.05910887569189072, -0.05082769691944122, 0.9142702221870422, -0.5286943912506104, -0.6087611317634583, -0.004675396718084812, -0.9500543475151062, 0.16000346839427948, -0.8226491808891296, -0.6261455416679382, -0.13894279301166534, -1.1744298934936523, 0.08039779961109161, -0.16023211181163788, -0.7262184619903564, 0.017148353159427643, -0.012851390056312084, 1.140148401260376, -0.140488862991333, 1.4637224674224854, 0.027405740693211555, -0.4231671690940857, 0.1953122764825821, -0.1874886155128479, 0.33187174797058105, 0.2690923511981964, -0.05754458159208298, -0.10648859292268753, -0.10342537611722946, -0.7304832339286804, 1.6848279237747192, 0.29738518595695496, -0.7550352215766907, -0.2852340638637543, 0.7804526090621948, 0.4923156201839447, 0.9002494215965271, 0.021067358553409576, -0.30643483996391296, 0.5567662715911865, -0.5789819359779358, 0.18342801928520203, -0.42237845063209534, 0.48125404119491577, 1.084999442100525, -0.9366672039031982, -0.2627180218696594, -0.4617992341518402, 0.06970061361789703, 0.6472331881523132, 0.27621135115623474, 0.30310216546058655, -0.6429820656776428, 0.6069930195808411, 0.3790145814418793, -0.18453684449195862, -0.03839992731809616, 0.14113055169582367, 0.5152615904808044, 0.8766183257102966, 0.7917287945747375, -0.11425907164812088, 0.0487615242600441, -0.3830050826072693, -0.265297532081604, -0.5733906626701355, -1.876818060874939, -0.37419113516807556, 0.9640344381332397, 0.28603678941726685, -0.9206399321556091, -1.338909387588501, 0.7716407179832458, 0.0609954334795475, -0.09558708220720291, 0.3779803216457367, 1.5196328163146973, -0.8678426742553711, 0.3213765025138855, -1.819300889968872, 1.391991138458252, -0.900687038898468, -0.6256911754608154, 0.2922017276287079, -0.18079546093940735, -0.7262542843818665, 0.09331082552671432, -0.05424094200134277, -0.5991660952568054, 0.6281501650810242, -0.9677443504333496, -1.1270607709884644, 0.21468761563301086, -0.6294842958450317, 0.4006947875022888, -0.4495176672935486, -0.3747435212135315, -0.7275511622428894, -0.4910992383956909, -1.4076273441314697, 1.0490373373031616, 0.32752400636672974, -0.9336572885513306, 0.5776965022087097, -0.41077709197998047, 2.2006492614746094, -0.22399576008319855, -0.8152227401733398, 1.1504942178726196, 0.12941749393939972, -0.887182891368866, 0.15175047516822815, 1.3258341550827026, 1.0196791887283325, 0.6534373760223389, -0.0968208834528923, 0.22354646027088165, 0.23309914767742157, -0.31119123101234436, -0.0074502816423773766, -0.3396025002002716, -1.253448486328125, 1.0067464113235474, 0.5081748366355896, 2.668011426925659, -1.110997200012207, 0.2017350196838379, -0.786994993686676, 0.6283018589019775, -0.8801219463348389, 0.4048594832420349, -0.3722316026687622, -0.5216072201728821, -0.007714752573519945, 0.4798719584941864, -0.3445403277873993, 0.569333016872406, -1.718127965927124, 0.085347019135952, -0.4347343444824219, -0.5036635994911194, 0.0575692392885685, 0.2969525158405304, -0.31228768825531006, 0.29682138562202454, 0.0420055091381073, 0.4640468657016754, -0.26499882340431213, 0.7671810388565063, 1.1011111736297607, -0.4369223713874817, -0.6050559282302856, 0.2514279782772064, 1.0663379430770874, -0.31526491045951843, -0.2928621172904968, -0.6462021470069885, 0.6732308864593506, 0.04838859289884567, 1.1946645975112915, -1.2730791568756104, 0.4332351088523865, 0.28732171654701233, -0.10440172255039215, 0.030673610046505928, 0.13701079785823822, 0.39692991971969604, -1.3162273168563843, -0.7072531580924988, 0.01507776603102684, -1.0190907716751099, -0.3526751399040222, 0.8967034220695496, 0.6853671073913574, 0.02752334624528885, -0.16691769659519196, -1.4084879159927368, -0.20128950476646423, -0.3556053638458252, -0.48912492394447327, -0.23760758340358734, -1.204613447189331, 0.1411360800266266, 0.20874260365962982 ]
1,025
0704.1027
Zhenjun Xiao
Xin Liu, Zhen-Jun Xiao, Hui-Sheng Wang
$B_s^0 \to \eta^{(\prime)} \eta^{(\prime)}$ decays in the pQCD approach
11 pages, 1 ps figure, Revtex
Commun.Theor.Phys.49:981-986,2008
10.1088/0253-6102/49/4/36
Zjou-PHY-TH-07-01, NJNU-TH-07-05
hep-ph
null
We calculate the CP averaged branching ratios and CP-violating asymmetries for $B_s^0 \to \eta \eta, \eta \eta^\prime$ and $\eta^\prime \eta^\prime$ decays in the perturbative QCD (pQCD) approach here. The pQCD predictions for the CP-averaged branching ratios are $Br(B_s^0 \to \eta \eta) = \left (14.2^{+18.0}_{-7.5}) \times 10^{-6}$, $Br(B_s^0 \to \eta \eta^\prime)= \left (12.4 ^{+18.2}_{-7.0}) \times 10^{-6}$, and $Br(B_s^0 \to \eta^{\prime} \eta^{\prime}) = \left (9.2^{+15.3}_{-4.9}) \times 10^{-6}$, which agree well with those obtained by employing the QCD factorization approach and also be consistent with available experimental upper limits. The gluonic contributions are small in size: less than 7% for $B_s \to \eta \eta$ and $ \eta \eta^\prime$ decays, and around 18% for $B_s \to \eta' \eta'$ decay. The CP-violating asymmetries for three decays are very small: less than 3% in magnitude.
[ { "created": "Sun, 8 Apr 2007 13:30:04 GMT", "version": "v1" } ]
2008-11-26
[ [ "Liu", "Xin", "" ], [ "Xiao", "Zhen-Jun", "" ], [ "Wang", "Hui-Sheng", "" ] ]
07
[ -0.6968425512313843, -0.4828035533428192, 0.4404628276824951, -0.3634187877178192, -0.7832029461860657, -0.4183141589164734, -0.6051933169364929, -0.11873456835746765, -0.38862231373786926, -1.6763662099838257, 0.1765277087688446, -0.01404555793851614, 0.9836426973342896, 0.6183993816375732, 0.32155779004096985, 0.6620222926139832, -0.415829062461853, -0.9829174876213074, 0.3143979012966156, -0.7442356944084167, 0.5340793132781982, -0.1351507604122162, 0.47000765800476074, -1.0479774475097656, 0.23162779211997986, 0.5438846349716187, 1.2857120037078857, 1.2013537883758545, -1.1860724687576294, -0.24117499589920044, -0.6569721698760986, -0.45374953746795654, -1.4584403038024902, 1.0797380208969116, 0.10987252742052078, 0.2239416539669037, 0.8377647995948792, -0.36243659257888794, -0.8436903953552246, -1.0013386011123657, -0.6653635501861572, 1.5851186513900757, 0.8932422995567322, 0.006710438057780266, -1.097830891609192, -0.5117366909980774, -0.2430664747953415, -0.2647920548915863, -0.3515249192714691, 0.981581449508667, 0.09032469987869263, 1.5480670928955078, 0.4707649350166321, 1.1232284307479858, -0.26959991455078125, 0.24687622487545013, 1.0756244659423828, 0.7244499921798706, 1.131152629852295, 0.8482096791267395, -0.8493935465812683, 1.5210882425308228, -0.14065933227539062, -0.3186072111129761, -0.9451183080673218, -0.7592809796333313, -0.49422141909599304, 1.0091207027435303, 0.7853992581367493, 0.13686712086200714, -1.1442705392837524, 0.38512006402015686, 0.04111681506037712, -1.0117251873016357, -0.8929681777954102, 0.5023031234741211, 0.8286324739456177, -0.13412238657474518, 0.9684984683990479, -0.7200952768325806, -1.3001431226730347, -0.26212456822395325, -1.1046549081802368, -0.8269190788269043, 0.6838603615760803, 0.8363604545593262, -0.7616400122642517, 0.18616873025894165, -0.3136824667453766, -0.3345352113246918, -0.5050727128982544, -1.3744028806686401, 0.19780491292476654, 0.7458309531211853, 0.6729822754859924, -0.6143852472305298, 0.04805989935994148, -0.1507183313369751, 0.32420244812965393, 0.806617021560669, 0.19121704995632172, -0.27841129899024963, 0.4133973717689514, 1.143298625946045, 0.31689420342445374, -0.735957145690918, -0.4638521075248718, 0.027535641565918922, 0.33114632964134216, 0.6444984674453735, 0.021960437297821045, -0.5141904950141907, -0.9177035093307495, 0.1848490834236145, -0.39469194412231445, -0.7572320699691772, -0.903397262096405, 0.9908939003944397, 0.9482548236846924, -0.07711724191904068, -0.5275739431381226, -0.49408239126205444, -0.9059716463088989, -0.10182303190231323, 0.22086258232593536, -0.2551991939544678, -0.5975281000137329, 0.6614447832107544, -0.16782350838184357, 0.9242187142372131, -0.8683199882507324, 1.0178121328353882, 0.3184065818786621, 1.1391576528549194, -0.9015523791313171, 0.10714218020439148, -1.225767731666565, -0.15865927934646606, 0.5285566449165344, -0.6622449159622192, -0.836634635925293, -0.3142975866794586, -1.1332343816757202, -0.08977857232093811, -0.5148629546165466, 1.1925663948059082, 0.007231290452182293, 0.8243852853775024, 0.7663881778717041, 0.5775288939476013, 1.294569969177246, -0.5690963864326477, -0.20902973413467407, 0.6691142916679382, -0.00618981895968318, 0.29382064938545227, 1.673241138458252, 0.24517513811588287, -0.8005776405334473, -0.12403369694948196, 0.14527179300785065, -0.5934354066848755, 1.6680551767349243, 0.4821753203868866, 0.6803865432739258, -1.4302507638931274, 0.6327311396598816, 0.5150734782218933, -0.9778830409049988, -0.4043811559677124, 0.10843402147293091, -1.3023146390914917, 0.6319453120231628, -0.9338175058364868, -1.3592077493667603, -0.3647859990596771, -0.9337244033813477, -0.06293682008981705, -0.9230064749717712, 0.9171799421310425, 0.27555006742477417, -0.8819783926010132, -1.7202239036560059, -0.831554114818573, -0.34370145201683044, 0.47873756289482117, 0.33194059133529663, -0.5187543630599976, 1.0366206169128418, -0.2129695564508438, -0.8028269410133362, 0.4805958867073059, -2.497234344482422, 0.40623798966407776, 0.25848865509033203, 0.17194825410842896, 0.34587010741233826, -0.1737397462129593, -0.18403613567352295, 2.081160306930542, -0.9025264382362366, -0.843159556388855, -0.1811259388923645, -1.2595994472503662, 0.2847916781902313, 2.6153202056884766, -0.18489141762256622, -0.5810112357139587, -0.06980089098215103, 0.1320848912000656, 0.36369577050209045, 0.043662939220666885, 0.8419367074966431, 1.138615608215332, 1.670816421508789, 0.24171853065490723, -0.5252452492713928, -0.12495680153369904, -0.30909404158592224, -0.10847969353199005, 0.41917431354522705, 1.0557435750961304, 1.2030047178268433, -0.4934007525444031, 0.1845075488090515, 0.4575372636318207, 0.2664111256599426, -0.8042529225349426, 0.3905670940876007, 0.2763994634151459, -0.6262797713279724, -0.6882662177085876, -1.3422662019729614, -0.7979917526245117, 0.3609671890735626, -0.14608234167099, -0.20972391963005066, 0.23522667586803436, 0.2405054122209549, -1.6141948699951172, -0.11956189572811127, 0.5084859728813171, 0.2088932991027832, -0.34021633863449097, -0.45196080207824707, 0.16995003819465637, -0.3765288293361664, -0.662128210067749, 0.16883814334869385, -0.0399043932557106, 0.4305793046951294, -0.5244633555412292, -1.2485241889953613, -0.9169986248016357, 0.5757495760917664, 0.26868894696235657, 0.0909203290939331, -1.0488178730010986, -1.236556887626648, 0.603742241859436, -0.5669224262237549, 1.3134750127792358, -0.6025429368019104, 0.012236843816936016, 0.5883913636207581, -0.029526367783546448, 0.680270791053772, -0.9192032217979431, 0.4413362443447113, -0.5014914870262146, 0.37342631816864014, -0.09912081062793732, -0.6715062260627747, -0.4133276045322418, -0.025513404980301857, -0.31314828991889954, 0.883345365524292, 0.453179270029068, 0.14239896833896637, -0.225773423910141, 0.5121155977249146, -0.9057479500770569, -1.2173926830291748, 0.38230040669441223, -1.0042401552200317, -0.735916793346405, -0.7670708894729614, 1.050658941268921, 0.8503423929214478, -0.4131099581718445, 1.44258451461792, 0.49063006043434143, 0.7032632827758789, -1.7007529735565186, -0.9160261750221252, 0.7623571157455444, 0.4701277017593384, -0.9044520854949951, 1.3561750650405884, -0.46006661653518677, 0.1537642925977707, -1.2318458557128906, 0.34800687432289124, 0.959818422794342, 0.39335668087005615, -0.09212444722652435, -1.0256357192993164, 0.7448126673698425, -0.3387358784675598, 0.14748215675354004, 1.445634126663208, 0.74205082654953, 0.8256452083587646, -1.0074082612991333, -0.5295462012290955, 0.045756347477436066, 0.35313156247138977, -0.8813732266426086, -1.3401246070861816, -0.7563175559043884, -0.18917864561080933, 1.2181106805801392, 1.178165078163147, 0.1648958921432495, 0.33592382073402405, -1.4717328548431396, -0.13199485838413239, -0.7995421290397644, 0.2136993557214737, -0.5015987753868103, 0.028429217636585236, 0.9884313941001892, 0.4418558180332184, -0.8405871987342834, 0.9115966558456421, 0.9167405366897583, -0.6656100153923035, 0.6312035322189331, -0.7379728555679321, -0.980681836605072, -0.6479767560958862, 0.9713922142982483, 0.7484275102615356, -0.19784408807754517, -1.2137755155563354, 0.09485246986150742, -0.16099956631660461, -0.491483211517334, -0.6134492754936218, 0.9556357860565186, -0.8618081212043762, 0.22030429542064667, 0.2450331598520279, 0.6315320134162903, 0.8944931030273438, 0.0692201629281044, 0.5985609292984009, -0.0702483206987381, -0.7593879103660583, -0.19797037541866302, 0.5533555746078491, 1.1704986095428467, -0.43738237023353577, -0.4132790267467499, -0.16082598268985748, 0.8437720537185669, -0.4105195701122284, -0.5671738386154175, 0.3653257489204407, -0.39506155252456665, -0.9123636484146118, -0.3904387354850769, 0.3857111930847168, 0.551476776599884, 0.6358103156089783, -0.39371028542518616, 0.06898117065429688, -0.013671614229679108, 0.35276010632514954, -0.43849101662635803, -0.8660051822662354, 0.5162408351898193, -0.37007516622543335, -1.3283509016036987, -0.47338151931762695, 0.18442268669605255, 0.1355653554201126, 0.02348378300666809, -0.8391231894493103, -0.46242281794548035, -0.28609222173690796, -0.3961011469364166, 0.3353421092033386, 0.17702554166316986, 0.5645262598991394, -1.1113510131835938, 0.44906318187713623, 0.8048090934753418, -0.2136615812778473, 1.3330436944961548, 0.66105717420578, 0.7256893515586853, -0.7524637579917908, -1.662687063217163, -0.9782894253730774, -0.5307480692863464, 0.3325282335281372, 1.7198807001113892, -0.5523274540901184, 0.8033803105354309, 0.17808783054351807, 0.2866300642490387, -0.6513751149177551, -0.8875423073768616, 0.16107235848903656, 0.5841821432113647, 0.45173346996307373, -0.038983963429927826, 0.47075173258781433, 0.5288604497909546, -0.17818211019039154, 0.21843121945858002, -0.2038051038980484, 1.364513635635376, -1.5591905117034912, -1.536527395248413, -1.3112612962722778, 0.42836424708366394, -1.1615841388702393, 0.692213773727417, 0.8125512599945068, 0.3807739019393921, -1.5054965019226074, 0.8029645681381226, -1.2565159797668457, 0.9824422597885132, 0.11020299792289734, 0.2984214425086975, 0.2270399034023285, -0.4933736026287079, -0.1583038717508316, 1.1132440567016602, 1.359574556350708, -0.48191845417022705, 0.5186470746994019, -1.1738901138305664, 0.6634998321533203, 0.9858508110046387, -0.4653330445289612, 0.5171802043914795, -0.4584851861000061, 0.16637997329235077, -0.46360787749290466, 0.42711877822875977, -0.1574392467737198, 0.3693902790546417, -1.3892570734024048, -0.3211078643798828, 0.37576067447662354, 0.10065960139036179, -0.417553186416626, -0.9556723237037659, 0.2900376617908478, -0.10665697604417801, 0.7417599558830261, -0.5880566835403442, -0.07927311956882477, -0.6124937534332275, 0.007982587441802025, 0.7813287377357483, 0.5661357045173645, 0.9180835485458374, 1.4589896202087402, 0.28768956661224365, -0.5360000133514404, -0.8652226328849792, 0.8078900575637817, 1.018758773803711, 0.3352949917316437, 0.6556488275527954, -0.14747761189937592, 0.4014180600643158, -0.21543441712856293, -0.7469155788421631, -1.0689383745193481, -1.1467360258102417, -0.7101184725761414, 1.4930310249328613, -0.40858960151672363, 0.5763054490089417, -0.9678528904914856, 0.48160818219184875, 1.2396845817565918, 1.1646355390548706, 0.08101945370435715, 0.05632797256112099, -0.7734954357147217, -0.6396777033805847, 0.616858959197998, -0.7576843500137329, 0.9779059886932373, -1.088828444480896, 0.4552793502807617, -1.2290290594100952, 0.4156394600868225, 1.2031457424163818, 0.2054864913225174, -0.04057303071022034, -0.961493730545044, 0.48846593499183655, 0.5017318725585938, 0.9829072952270508, -1.116216778755188, -0.02339763566851616, -0.5815673470497131, 0.07934561371803284, -0.07040735334157944, -2.4933037757873535, 0.010843613184988499, -0.5054328441619873, -1.974619746208191, 0.866681694984436, -0.2053278386592865, -0.44673341512680054, -0.18756726384162903, 0.2713637948036194, 0.4647423028945923, -0.0914866030216217, 0.6262571215629578, -0.13878177106380463, 0.2524712383747101, 0.5943955183029175, -0.5620719194412231, 0.30896979570388794, -0.5637847781181335, -0.6999436020851135, -1.0467026233673096, 0.6097695827484131, -0.11845442652702332, 0.383515864610672, 0.29749223589897156, -0.956891655921936, -1.3875958919525146, -0.36982864141464233, 0.7686888575553894, -0.402058482170105, 0.4222610294818878, 0.1291298270225525, -0.5851860642433167, -0.1504441648721695, -0.9617094397544861, 0.7023195028305054, 0.8922020792961121, -0.37445104122161865, 0.4456043541431427, -1.9971460103988647, -6.08053731918335, 1.1161497831344604, 0.44203847646713257, 0.13622644543647766, 0.14109326899051666, 0.4379483461380005, -0.6805073618888855, 0.7935245037078857, -0.8828310966491699, 0.3962808847427368, -1.375227689743042, -0.15464501082897186, 0.19747310876846313, -0.3117130994796753, 0.35195037722587585, 0.008706586435437202, -0.6661114692687988, -0.7535277009010315, 0.5108332633972168, 0.15897251665592194, 0.06431692838668823, -0.7599480152130127, 0.023948909714818, -0.4734307527542114, -0.7739985585212708, -0.08887532353401184, 0.04894646629691124, -0.27204346656799316, -0.965179443359375, 0.17670203745365143, -0.15428517758846283, 0.5586725473403931, 0.6058414578437805, -0.12697742879390717, -0.31407520174980164, -0.3740803003311157, 0.47241440415382385, -0.5346922278404236, 1.2899210453033447, -0.7681615948677063, 0.49643078446388245, 0.20598112046718597, 0.102754145860672, 1.6424646377563477, 0.15220481157302856, 0.615825891494751, 0.3303382992744446, 0.3852386474609375, 0.4127711057662964, -0.382045179605484, 1.6040911674499512, -1.8188188076019287, 0.14343883097171783, 0.6936327815055847, 0.1606464684009552, -0.3721882402896881, 0.2147751897573471, -0.3351687490940094, 0.7560375332832336, 0.004346739966422319, 0.06548213958740234, 0.2736856937408447, -0.9363378882408142, -0.2147432267665863, -1.652836561203003, -1.786261796951294, -0.4302007555961609, -0.27522286772727966, -0.6641844511032104, 0.23596984148025513, -0.5667601823806763, -1.094283938407898, -0.264614999294281, -0.8451281189918518, 0.8199531435966492, -0.3686075210571289, -1.1661587953567505, 0.5374405980110168, 1.1318572759628296, -0.6477647423744202, -0.5838491320610046, -0.1830950379371643, -0.492323637008667, -1.1401093006134033, -0.11644505709409714, -1.0439908504486084, -0.10705892741680145, -0.03253025561571121, -0.22456906735897064, 0.7960652112960815, 0.024313371628522873, -0.19052903354167938, -0.5751652121543884, -0.3962911069393158, -0.2898733913898468, 1.3379442691802979, 1.2908960580825806, -1.589147925376892, -0.7248415350914001, 0.0002566065813880414, 0.0012642599176615477, 0.16571412980556488, -0.1717495620250702, -0.03734391927719116, 0.7692095041275024, 0.3068031668663025, 0.17068380117416382, 0.892869770526886, 0.6954004168510437, -1.4893773794174194, -0.32684364914894104, -0.38299715518951416, -0.8865083456039429, -1.1427559852600098, -1.490147590637207, 0.11497723311185837, -0.4856261610984802, 0.14396926760673523, -0.03618113696575165, -0.5736813545227051, -1.364405632019043, 0.9003951549530029, -0.4470687210559845, 0.9707399010658264, 1.0093662738800049, -0.09343599528074265, 0.25330227613449097, -0.4454736113548279, -1.5152279138565063, 0.7575628757476807, -0.9685094952583313, -0.2646203339099884, -0.9691729545593262, -0.07503713667392731, 0.8220275044441223, 0.049772970378398895, -1.006373643875122, -0.026137912645936012, -0.19751350581645966, -0.07652504742145538, -0.018710603937506676, 0.7938897013664246, -0.4006500840187073, 0.36743324995040894, 0.2407791018486023, -0.19635191559791565, 1.2428244352340698, -0.17981812357902527, -0.5954598784446716, 0.05112633854150772, 0.8092185258865356, 1.8974496126174927, 0.6616199016571045, 0.2849436104297638, -0.593636691570282, -0.17678257822990417, -0.8260751962661743, -1.9548413753509521, -0.3955937623977661, -0.24071604013442993, -1.0023059844970703, -0.11813291162252426, -0.7884014844894409, 0.2292628288269043, -0.473336398601532, 0.7444947361946106, -0.7782904505729675, 0.30887144804000854, 1.0631849765777588, 1.1766740083694458, 0.5676568746566772, 0.06228607892990112, 0.5630991458892822, -0.5951696634292603, -1.0448250770568848, 0.10726650804281235, -1.196137547492981, 1.0897799730300903, -0.19139888882637024, -1.2676197290420532, 0.05790216103196144, 0.3861992061138153, 0.6632885336875916, 0.9323448538780212, -0.8498958945274353, 1.188503384590149, -0.31763187050819397, 0.26262906193733215, -0.22726641595363617, -0.12346154451370239, -0.16349844634532928, -0.2897248864173889, 0.00041441802750341594, 1.2302706241607666, -1.1593847274780273, -0.12097929418087006, 0.6665760278701782, 1.448923945426941, -1.1196433305740356, 0.7602846026420593, -1.0982742309570312, 0.12576091289520264, -0.5876654982566833, 0.18294766545295715, 1.1987470388412476, -0.9850085377693176, 0.6093752980232239, 0.26587769389152527, -1.7615163326263428, -0.15168176591396332, 0.6137707829475403, -0.309800922870636 ]
1,026
0704.1028
Jianlin Cheng
Jianlin Cheng
A neural network approach to ordinal regression
8 pages
null
null
null
cs.LG cs.AI cs.NE
null
Ordinal regression is an important type of learning, which has properties of both classification and regression. Here we describe a simple and effective approach to adapt a traditional neural network to learn ordinal categories. Our approach is a generalization of the perceptron method for ordinal regression. On several benchmark datasets, our method (NNRank) outperforms a neural network classification method. Compared with the ordinal regression methods using Gaussian processes and support vector machines, NNRank achieves comparable performance. Moreover, NNRank has the advantages of traditional neural networks: learning in both online and batch modes, handling very large training datasets, and making rapid predictions. These features make NNRank a useful and complementary tool for large-scale data processing tasks such as information retrieval, web page ranking, collaborative filtering, and protein ranking in Bioinformatics.
[ { "created": "Sun, 8 Apr 2007 17:36:00 GMT", "version": "v1" } ]
2007-05-23
[ [ "Cheng", "Jianlin", "" ] ]
07
[ -0.23927800357341766, -0.5312939286231995, 1.050804615020752, -1.1216961145401, 0.6325567364692688, -0.7058533430099487, 0.8394935727119446, -1.4520829916000366, 1.2581350803375244, -0.8315275311470032, 1.3328524827957153, 0.5619920492172241, 0.4878268539905548, 0.7221501469612122, 0.39495357871055603, 0.007554188370704651, 0.0398452952504158, 0.08691687881946564, 0.09225985407829285, -1.2807486057281494, -0.9798410534858704, -1.5812907218933105, 0.34130236506462097, 0.5339967608451843, 0.2538614571094513, 0.17797847092151642, 0.40975624322891235, 0.406806081533432, -0.37782180309295654, 0.4079412817955017, 0.7876532673835754, -0.2643223702907562, 0.16666121780872345, -0.20822769403457642, -0.4531172513961792, 0.10375501960515976, 0.10813211649656296, 0.9028443098068237, 0.07612503319978714, 0.49089518189430237, -1.0146349668502808, 0.6230688691139221, -0.8488540649414062, -0.6944103837013245, -1.6738762855529785, 0.9956536293029785, 0.14381884038448334, 0.20037390291690826, -0.6332244873046875, -0.5520167946815491, -0.3703263998031616, 0.042784154415130615, -0.17649096250534058, 0.5451054573059082, -0.22818545997142792, -0.4184865951538086, -0.6206446886062622, 0.12162173539400101, 0.9091081023216248, -1.2107559442520142, 0.43210962414741516, -0.0244150348007679, -0.1607879251241684, 0.5899572968482971, -0.36984172463417053, -0.07012709975242615, -0.35708269476890564, 0.5512663125991821, 0.3909384608268738, -0.3828420639038086, -1.204854130744934, -1.0832040309906006, -0.21285465359687805, 0.08107027411460876, 0.2117215096950531, -0.39074915647506714, 0.8257113695144653, 1.3301291465759277, 0.5323704481124878, 1.370062232017517, 0.11662467569112778, -1.8822662830352783, 0.45859619975090027, 0.06112729385495186, -0.30887869000434875, -1.0323439836502075, -0.5178786516189575, -1.171228051185608, -0.07698684930801392, 1.0427216291427612, -0.5128281116485596, 1.0761057138442993, -0.919769823551178, 1.0607962608337402, -0.8339325785636902, -0.2115807831287384, 0.03804831951856613, 0.212981179356575, 0.3245430290699005, 0.8705254793167114, 0.7453186511993408, 0.018270477652549744, 0.3952159881591797, 0.6473832726478577, 1.2383942604064941, -0.3522419035434723, -0.5132367610931396, -0.3037586808204651, -0.950283408164978, -1.1017745733261108, 1.0888317823410034, -0.8194029927253723, -0.35499364137649536, 1.1904009580612183, -0.4743240177631378, -0.833271861076355, 0.14496822655200958, 0.0726599171757698, 0.43655312061309814, -0.24982386827468872, -1.1424530744552612, 1.021277904510498, -0.4568173587322235, -1.3514143228530884, 0.3380417227745056, 0.9081700444221497, 1.168476939201355, -0.15637555718421936, 0.37231355905532837, -0.2051590532064438, 0.16188113391399384, 0.04793558269739151, -0.274783730506897, -0.9502007961273193, 0.3383008539676666, 0.5407100915908813, -0.8820574879646301, 0.6116551160812378, -0.8881262540817261, -0.05362902209162712, 0.3609195947647095, 0.08492168039083481, -0.4791319966316223, 0.39247867465019226, -0.27345237135887146, 0.8478198647499084, 0.6686697602272034, 0.4287535846233368, 0.6686092019081116, -0.4274652600288391, -1.3142024278640747, -0.40782633423805237, -0.2399900108575821, 0.27988773584365845, -0.9141146540641785, -0.34427526593208313, -0.2599639892578125, -2.1932671070098877, -0.4305165708065033, -0.3582427203655243, 0.23181842267513275, 0.7388047575950623, -0.848649263381958, 0.20642513036727905, -0.11329814791679382, 0.09179363399744034, -0.21569736301898956, 0.9628084897994995, -0.3455771207809448, -0.17249439656734467, 0.05234305560588837, 0.11237184703350067, 1.0551321506500244, -0.45702245831489563, 0.25907284021377563, -0.683480441570282, 0.3615603446960449, -0.6490060091018677, -1.0442792177200317, 0.5729517340660095, -0.6610914468765259, -0.22130194306373596, -0.3091917335987091, 0.06869401037693024, 0.28768330812454224, -0.18128307163715363, -0.8007850646972656, -1.2537916898727417, 1.461612582206726, -0.6288079023361206, 0.27934595942497253, -0.6364902853965759, -1.0620967149734497, -0.5220192670822144, 0.03045477531850338, -0.5710212588310242, -0.2494000345468521, 0.6625623106956482, 0.6539248824119568, -1.1713008880615234, -0.3278241753578186, -0.4643101096153259, -1.4307793378829956, -0.24108320474624634, -1.3271137475967407, -0.36136186122894287, 0.5895531177520752, -0.11121772974729538, 0.8646432161331177, -0.9907856583595276, 0.7384700775146484, 0.2537422478199005, 0.2537311613559723, -0.15312421321868896, -0.05127861350774765, 0.45210763812065125, -0.4639713168144226, 0.917931854724884, -0.25882717967033386, -0.2019641250371933, 0.7260153889656067, 0.41685810685157776, -1.1942715644836426, -0.3916895091533661, 0.06679224222898483, 0.09129869192838669, 0.02528560347855091, -0.4064684212207794, 1.1650527715682983, -0.3056078553199768, 1.1082581281661987, -0.7324837446212769, -0.13010279834270477, -1.3599674701690674, 1.0781445503234863, -0.23127876222133636, -0.39755481481552124, -0.24739104509353638, -0.5839516520500183, -0.09745218604803085, -0.8616108894348145, 0.2941049337387085, -0.26257437467575073, 0.11145027726888657, 0.1977294683456421, -0.13034389913082123, 0.36200016736984253, -0.3245188593864441, 0.48810696601867676, -0.32633936405181885, -1.2920897006988525, 0.075933538377285, -0.04840469732880592, 0.17132529616355896, -0.5985134243965149, 1.2201933860778809, 1.4342039823532104, -0.3019690215587616, 0.11491949111223221, 0.5342984199523926, -1.3598138093948364, -0.5456597805023193, -0.5778039693832397, 1.2009445428848267, -1.731749176979065, 1.8149969577789307, -0.6914240717887878, 0.14580398797988892, -0.21607930958271027, -0.8603135943412781, -0.42963719367980957, -1.3007030487060547, 0.5515721440315247, 0.47842246294021606, -0.9530884623527527, 0.6436648964881897, -0.8368028402328491, -0.743311882019043, 0.7060278058052063, 0.25528961420059204, -0.5858746767044067, -0.2586531639099121, 0.33382055163383484, -0.5944221019744873, 0.6103513240814209, -0.893170177936554, 0.6913250088691711, 0.35109302401542664, -1.4093691110610962, -1.4895141124725342, 1.264511227607727, 1.1629773378372192, -0.5497952699661255, -0.524379312992096, -0.5134353041648865, -0.1273859143257141, 0.8485575318336487, -0.5027405619621277, 0.05607938393950462, 0.7006645798683167, 0.16088053584098816, 0.40548428893089294, 0.21033832430839539, 0.8915645480155945, 0.29896241426467896, -0.4106142818927765, 0.37322863936424255, -0.1842024326324463, 0.4748181700706482, -0.361991822719574, 0.5790988802909851, -0.015523532405495644, 0.31592807173728943, -0.4936712980270386, -0.8526189923286438, 0.48718613386154175, 0.7788527011871338, -0.9645324349403381, 0.21003322303295135, -1.3870612382888794, 0.435097336769104, 0.37313300371170044, 0.8818401098251343, 1.2214984893798828, 0.864186704158783, -1.079877495765686, 0.4442806839942932, -0.2739090621471405, -0.012297442182898521, -0.46467864513397217, 0.5766091346740723, -0.09761427342891693, 0.3571121394634247, 0.9128336310386658, -0.8007201552391052, -0.2858191430568695, 0.449311226606369, 0.31193509697914124, 0.5810320377349854, -0.8323955535888672, 0.9548547863960266, -0.07319618761539459, 0.7375083565711975, -0.40921127796173096, -0.7803585529327393, -0.15308894217014313, -0.5133190751075745, 0.8040083646774292, -0.4528266489505768, 0.2793603837490082, 0.7457482814788818, -0.2479652613401413, -0.07517056167125702, -0.24837268888950348, 0.6076207756996155, -0.31959542632102966, -0.11829810589551926, -0.19767989218235016, 0.9266512989997864, -0.5207050442695618, -0.5359933972358704, -0.17372286319732666, 0.9633247256278992, -0.5485994219779968, 0.525770902633667, 0.13154791295528412, 0.5481486320495605, -0.12670089304447174, 0.44227299094200134, -0.8414072394371033, 1.128603458404541, 0.43407589197158813, 0.21895520389080048, -0.08032575994729996, -0.1256834864616394, 1.5693752765655518, -0.45713162422180176, -0.20732419192790985, -0.22731339931488037, 0.649584949016571, 0.5461277365684509, 0.6639115214347839, 0.508894681930542, -0.8702852129936218, -0.4818726181983948, 0.45943260192871094, 1.2827258110046387, -0.8135254383087158, -0.6398876309394836, -0.10752309858798981, -1.2024708986282349, -0.17956343293190002, -0.4117415249347687, -0.43621015548706055, 0.5011510848999023, -1.552607536315918, 0.4985837936401367, -0.9026430249214172, 0.3861932158470154, -0.25399693846702576, -0.4215054512023926, 0.052577897906303406, -1.0660624504089355, -0.4585025906562805, 0.38810601830482483, -0.457653284072876, 0.36850684881210327, 0.5874171257019043, 0.05906049907207489, 0.09210117906332016, -0.3668595850467682, -0.2151057869195938, 1.0202512741088867, -0.48469242453575134, -2.5472776889801025, -0.0757533386349678, 0.5591926574707031, 0.7428624629974365, 0.1410861313343048, -0.18169943988323212, 0.4557511508464813, -0.7178876399993896, -0.7075320482254028, -1.5981394052505493, -0.3182755410671234, -0.25337356328964233, -0.28374940156936646, -0.9368419051170349, -0.003248621243983507, -0.0245264433324337, -0.2581537365913391, -0.22933636605739594, 2.0575058460235596, -0.438698410987854, -0.6846112012863159, 0.28546395897865295, -1.2184151411056519, 0.7478979825973511, 0.15030105412006378, -0.6402057409286499, -0.5960102081298828, -0.15027302503585815, -0.43603816628456116, 0.3141133487224579, -1.055894374847412, 0.5809405446052551, -1.0676043033599854, 1.339595913887024, 0.47578445076942444, -1.311855673789978, 0.8129242062568665, 0.7110461592674255, 0.3694301247596741, -0.47748899459838867, 1.2738014459609985, 0.5116773843765259, 1.5519603490829468, -0.13518816232681274, -0.3167632520198822, -0.15153823792934418, -0.13990727066993713, 0.3951379954814911, 0.009371554479002953, -0.14316925406455994, 1.3233814239501953, -0.2657071352005005, 0.02494131773710251, 0.47877588868141174, 0.17154936492443085, 0.5074655413627625, -1.3362877368927002, 0.11152162402868271, -0.47230035066604614, 0.1810745894908905, 0.2103019803762436, 0.029353996738791466, 0.27603504061698914, 0.5252414345741272, -1.2837541103363037, -0.6430399417877197, 0.27161741256713867, 0.2709619104862213, -0.3822799026966095, -0.41602879762649536, -0.37272152304649353, -0.14852182567119598, -1.194352626800537, -1.951460838317871, 0.7807654142379761, -0.6415737867355347, -0.4903208315372467, 0.01659790612757206, -0.042592767626047134, 0.008822212927043438, 0.01983804441988468, -0.04972178488969803, -0.8075293302536011, -0.2860400080680847, 1.3543621301651, -0.15072572231292725, -0.29641109704971313, -0.08877833187580109, -0.9220840930938721, 0.2757810056209564, -0.6994035840034485, -1.127060055732727, -0.4298563301563263, -1.6851214170455933, 0.5225809812545776, 1.064205288887024, 0.1798684000968933, 0.7782427072525024, -0.43331438302993774, 0.1868004947900772, -0.5604639053344727, 0.4969472587108612, 0.1799968183040619, -2.6965105533599854, -0.8696484565734863, -0.6819374561309814, -0.7810936570167542, -0.20138084888458252, -0.16692021489143372, -0.3015098571777344, 0.5665733814239502, -0.7029526233673096, 0.8126996159553528, -0.42312368750572205, 0.6143414974212646, -0.035496726632118225, 1.3680975437164307, 0.26545578241348267, -1.0801782608032227, 0.390017569065094, 0.23207762837409973, -1.1293835639953613, 0.7063485980033875, 0.42391127347946167, 0.03544347733259201, -0.28551027178764343, 0.06990942358970642, 0.5252844095230103, -0.09644149988889694, -1.1008689403533936, -0.7655129432678223, 0.7648369669914246, 0.14927956461906433, 0.25816527009010315, -0.22309225797653198, -0.11065010726451874, 0.29340970516204834, -0.4957823157310486, 0.15719354152679443, -1.4161242246627808, -0.015415867790579796, 1.0954616069793701, -8.291162490844727, -1.6232221126556396, -0.7055004835128784, -0.5663981437683105, 0.13498833775520325, 0.13479790091514587, 0.2907320261001587, -0.13503563404083252, 0.535136342048645, -0.448853075504303, -0.9945551753044128, -0.5917277932167053, -1.0294300317764282, 0.7351372838020325, 0.44830018281936646, -0.7935031056404114, 0.4434765875339508, 0.6139767169952393, -0.5094842314720154, 0.6308839321136475, 0.6681172847747803, -0.7711632251739502, 0.023329690098762512, -0.17787712812423706, 1.3708163499832153, 0.775275468826294, -0.09975317120552063, 1.0108177661895752, 0.9542680978775024, 0.5110634565353394, 1.2415199279785156, -0.6985055804252625, 1.3421741724014282, 0.003232968272641301, -1.140524983406067, 0.15602734684944153, -0.26786115765571594, -1.3903357982635498, 0.13046738505363464, 0.4744338393211365, 0.05667981132864952, 0.9168226718902588, -0.23642095923423767, 0.46020057797431946, -0.6303862929344177, -0.23132050037384033, 0.1449318677186966, -0.6650916934013367, 0.8381577134132385, 0.512617826461792, 0.9800058603286743, 0.8068810701370239, -0.8722508549690247, 0.9799108505249023, 0.09955571591854095, 0.17801381647586823, -0.5584688782691956, -0.9341698884963989, -0.670604944229126, -0.49734827876091003, -0.35375434160232544, 0.45021194219589233, 1.1111575365066528, -0.6718195676803589, 0.7323212623596191, -0.0677778422832489, -0.6119549870491028, 0.7026308178901672, 0.8979030847549438, 0.6629189848899841, 0.5129290819168091, 0.49257880449295044, 0.7972052693367004, 0.27680185437202454, -0.633897066116333, -0.444316565990448, -0.42434725165367126, 0.654086172580719, 0.035898540169000626, 0.1010134294629097, -0.2202586531639099, 0.16123348474502563, -0.36525341868400574, 0.8701820969581604, -0.08933845907449722, 0.0851220116019249, -0.43452295660972595, -0.7290945053100586, 1.306347131729126, -0.3652375340461731, 0.25338736176490784, -0.03104136884212494, 0.49400264024734497, -0.3705677390098572, -0.816678524017334, 0.5819401741027832, -0.06392267346382141, -0.8119602203369141, 0.21692204475402832, -0.8557290434837341, -0.14237703382968903, -0.1382535845041275, -0.14859138429164886, -0.021523579955101013, 0.9412292838096619, 0.2868182361125946, -0.5315540432929993, 0.47310513257980347, -1.60258150100708, -1.9962881803512573, 1.4385337829589844, 1.5120335817337036, -1.0639100074768066, 0.6619871258735657, -0.5734056830406189, -1.5503239631652832, 0.6215357780456543, -0.268724262714386, 0.09942968934774399, 0.3745743930339813, -0.7077531814575195, 0.051968906074762344, 0.21861472725868225, -0.3275044560432434, -0.6491528749465942, -0.9324780702590942, 1.0188809633255005, -0.0244741290807724, -0.6792068481445312, 1.2208099365234375, -0.4981990158557892, 0.13527081906795502, 0.28631147742271423, -0.9850299954414368, -0.07136063277721405, -0.7386226654052734, 0.347016841173172, 1.9336453676223755, -1.0537745952606201, -0.11311852931976318, -0.39036211371421814, 0.15048909187316895, 0.6304001808166504, 0.46307238936424255, 0.5649458765983582, 0.12442027777433395, 0.3208712637424469, -0.8744062185287476, -0.049922969192266464, -1.6444669961929321, -0.37208792567253113, -0.4613710045814514, -0.02991706132888794, -0.23099669814109802, -0.5903437733650208, 0.3600682020187378, -1.2492960691452026, 1.8261072635650635, 0.05527250096201897, -0.21923361718654633, 0.31949150562286377, -0.1989591270685196, 0.47527897357940674, -0.10848662257194519, -0.7914934158325195, -0.7795868515968323, -0.3849931061267853, -0.9612625241279602, -0.12370526790618896, 0.8830828666687012, 0.2542203664779663, -0.4511491656303406, -0.8497190475463867, 0.0552615150809288, 1.29154372215271, 0.2533966898918152, 0.570400059223175, 0.8386236429214478, 0.9670708775520325, -0.8191970586776733, 0.8286394476890564, 1.0373271703720093, -0.21445471048355103, 0.5443858504295349, 0.5093328356742859, 0.8676970601081848, 0.7738375067710876, 0.7859136462211609, 0.11365842074155807, -0.9761819243431091, -0.1801965832710266, 0.5408448576927185, -0.07106323540210724, -1.5234601497650146, -0.14663165807724, 0.4004201591014862, 0.12157714366912842, 0.9210919737815857, 0.38473790884017944, 1.305986762046814, 0.09356112778186798, -0.10779677331447601, 0.24575038254261017, -0.28628987073898315, -1.2125738859176636, 0.6619735360145569, -1.7127526998519897, 0.05519835650920868, 0.7753562331199646, 0.06674113869667053, -0.5901886224746704, -0.9310729503631592 ]
1,027
0704.1029
Pouria Pedram
P. Sangpour, G. R. Jafari, O. Akhavan, A.Z. Moshfegh, and M. Reza Rahimi Tabar
Controlling surface statistical properties using bias voltage: Atomic force microscopy and stochastic analysis
8 pages, 11 figures;
PHYSICAL REVIEW B 71, 155423 (2005)
10.1103/PhysRevB.71.155423
null
physics.data-an
null
The effect of bias voltages on the statistical properties of rough surfaces has been studied using atomic force microscopy technique and its stochastic analysis. We have characterized the complexity of the height fluctuation of a rough surface by the stochastic parameters such as roughness exponent, level crossing, and drift and diffusion coefficients as a function of the applied bias voltage. It is shown that these statistical as well as microstructural parameters can also explain the macroscopic property of a surface. Furthermore, the tip convolution effect on the stochastic parameters has been examined.
[ { "created": "Sun, 8 Apr 2007 14:45:20 GMT", "version": "v1" } ]
2015-05-13
[ [ "Sangpour", "P.", "" ], [ "Jafari", "G. R.", "" ], [ "Akhavan", "O.", "" ], [ "Moshfegh", "A. Z.", "" ], [ "Tabar", "M. Reza Rahimi", "" ] ]
07
[ -0.7415136694908142, 0.8617728352546692, 0.7963175177574158, 0.5729854702949524, 0.0666336640715599, 0.16033561527729034, 0.6986672282218933, 0.32392436265945435, 0.3323074281215668, -0.14248934388160706, -0.17431223392486572, 0.15456435084342957, 1.0345790386199951, -0.07782179862260818, -0.638603687286377, -1.2521103620529175, -0.1800185739994049, -0.36868393421173096, 0.83358234167099, 0.6933484673500061, 0.0023536488879472017, -0.24404029548168182, -0.06032703444361687, 0.34557873010635376, -0.04560956731438637, -0.32657843828201294, -1.3987629413604736, -0.7541313767433167, -0.18259647488594055, -0.14684586226940155, 0.3828141391277313, 0.20165608823299408, 1.1434965133666992, 0.11515863239765167, -0.0003043027827516198, -0.560355007648468, 0.6584122776985168, -0.27489128708839417, -0.4072316288948059, -0.603844940662384, 0.24709244072437286, -0.206129252910614, 0.36925387382507324, 0.08164588361978531, -0.7693548202514648, 0.5294998288154602, -0.17568862438201904, -0.7556232213973999, 0.43440917134284973, -0.5615197420120239, -0.04324332997202873, 0.5333174467086792, 0.25330764055252075, -0.6250694394111633, 1.6704939603805542, -0.14541524648666382, -1.124516487121582, -0.6274013519287109, 0.16999945044517517, -0.07164650410413742, 0.13507089018821716, -0.30465567111968994, 0.19609302282333374, -0.11888997256755829, -0.0002904038701672107, -0.817694365978241, 1.4058092832565308, 0.4931908845901489, 0.6658260822296143, 0.7615722417831421, 0.11748383194208145, -0.6267130374908447, 0.14782418310642242, -0.27003180980682373, -0.51755690574646, 1.2830158472061157, -0.12028574198484421, -0.331422358751297, 1.0601582527160645, -0.8228280544281006, -2.0005362033843994, -0.44643017649650574, 0.2027634084224701, -0.2323761135339737, -0.5580868124961853, -0.00830342248082161, 0.1832096427679062, -0.6279962062835693, 0.2924903631210327, 0.32107532024383545, 0.27385109663009644, -1.2524380683898926, 0.14261390268802643, -0.999897301197052, 2.4358222484588623, 0.20628318190574646, 0.27626892924308777, 1.0910911560058594, 0.3336540460586548, 1.0753639936447144, 0.4920025169849396, 0.193975567817688, 0.31545162200927734, -0.9031139016151428, -0.13820314407348633, 0.5257847309112549, -0.684644341468811, 0.47483983635902405, -0.6813356876373291, 0.08019722253084183, -0.6970956921577454, 0.5634891986846924, 0.6108221411705017, 1.0775572061538696, -0.8030093908309937, 0.02482134848833084, -1.084281325340271, -1.3723546266555786, -0.7165991067886353, -1.3946912288665771, 0.3598300516605377, -0.21494349837303162, -0.23750090599060059, -0.548176109790802, 0.7392243146896362, 1.3790836334228516, -1.1406166553497314, -0.07327429205179214, 0.13938331604003906, -0.950713038444519, -1.3125053644180298, -0.5472056269645691, 0.2828575372695923, -1.4500555992126465, -0.9313592910766602, -0.37068673968315125, -0.4231499135494232, 0.5059230923652649, 0.39077621698379517, -0.4486181437969208, 0.5623591542243958, -0.13718800246715546, -0.36954280734062195, -1.5475773811340332, -0.058629557490348816, -1.3593324422836304, -0.5438771843910217, -0.13237658143043518, -1.2055584192276, -0.8622042536735535, -1.0170310735702515, -1.056048035621643, 0.7669827938079834, 1.0278147459030151, 0.4131016135215759, 0.1398095041513443, 0.4153793156147003, -0.2679798901081085, 0.016326570883393288, 0.07481702417135239, -0.5907859206199646, 0.16241958737373352, -0.24266493320465088, -0.85137540102005, -0.03289628028869629, 0.8645886182785034, 0.06588613986968994, 0.1559608280658722, 0.39701199531555176, -0.7642340064048767, -0.5873250365257263, -0.3242661952972412, 0.5111619830131531, 0.48955443501472473, -0.6861456632614136, -1.0878939628601074, 0.5302175879478455, 1.1948450803756714, -0.3464150130748749, 0.7022882699966431, 0.023013852536678314, -0.4556199610233307, -0.609757125377655, -0.480220764875412, 0.2273130714893341, -0.35617610812187195, -0.34107857942581177, -0.8277463316917419, -0.8622393608093262, -0.17757214605808258, -0.4088791012763977, 0.6028322577476501, -0.8635943531990051, 1.0262973308563232, -0.994913637638092, 0.8744753003120422, -0.17861086130142212, 0.6799650192260742, -0.9161757230758667, -0.1789470613002777, 1.650620460510254, -0.4141909182071686, 0.46692827343940735, 0.6749746203422546, -1.8497592210769653, 0.003845745464786887, 0.8369099497795105, 0.4003635048866272, -1.0398378372192383, 0.33259135484695435, -1.8214162588119507, 0.6150651574134827, -0.26075780391693115, 0.28799888491630554, -0.5381695628166199, 0.12392501533031464, 0.8760480284690857, -0.7957062125205994, -0.6277940273284912, -0.7536303400993347, 0.17303027212619781, 0.5349154472351074, 0.7011864185333252, -0.12847594916820526, -0.8346946239471436, -0.9296212792396545, -1.3644397258758545, 0.8206452131271362, -0.3882163166999817, -1.0074448585510254, -0.5020065307617188, -0.9016400575637817, -0.17009812593460083, -0.19922401010990143, 0.5701179504394531, 0.08360635489225388, -0.8352174758911133, -1.0283781290054321, 0.043824341148138046, -1.1249898672103882, -0.4125513732433319, 0.10300371050834656, 0.45190495252609253, 1.0434021949768066, -0.7083755731582642, 1.015897512435913, 0.9713749885559082, 0.8025367259979248, -0.25907033681869507, -0.7601262331008911, -0.5150607228279114, 0.642029881477356, -0.6561535596847534, 0.35319072008132935, 0.054482124745845795, 0.6055229902267456, 0.07944443821907043, 0.23751236498355865, 0.3811824321746826, 0.08126278966665268, 0.4133094251155853, -1.2918026447296143, 1.5417675971984863, -0.019099485129117966, -1.0448881387710571, 0.5336127281188965, -0.9926801919937134, -0.2981865704059601, -0.5318890810012817, 0.48438599705696106, -0.6878512501716614, -0.804429829120636, 0.4947430193424225, 0.36532217264175415, 0.2622492015361786, 0.1909002810716629, -0.1492219716310501, -0.24187853932380676, -0.6982864737510681, -0.6256893873214722, -0.5830338597297668, -0.8589356541633606, 0.5281310081481934, -0.29521241784095764, 0.3495103418827057, 0.37470048666000366, -0.5655043721199036, -0.2532530128955841, 0.36597776412963867, -0.24264192581176758, -0.6866247653961182, 0.14681455492973328, -0.8969099521636963, 2.410756826400757, 0.7756152749061584, -1.0065853595733643, -0.7429907917976379, 0.950738251209259, -0.054013386368751526, 0.004380347207188606, -0.36619889736175537, 0.1988254338502884, -0.6335362195968628, 0.49961450695991516, 0.8227161169052124, -0.9125299453735352, -0.4279049336910248, -0.6616888642311096, -1.1248440742492676, 0.6186565160751343, 0.6147690415382385, 1.4556019306182861, 0.4110110402107239, -1.7506986856460571, 1.152393102645874, 0.1997910737991333, 0.02330973744392395, -0.6718582510948181, 0.4176332652568817, -1.06485116481781, -0.6725766062736511, 0.9074864983558655, -0.7206379771232605, 0.1725190132856369, 0.15824981033802032, 0.19910481572151184, 1.4333951473236084, -0.7349299192428589, 1.1816658973693848, 0.6295182704925537, 0.38488975167274475, 0.38667553663253784, 0.7470461130142212, -0.3158600330352783, 0.04207191616296768, -0.294729083776474, 0.2417866438627243, -1.4005225896835327, 1.1443389654159546, -0.5911484956741333, 0.76311856508255, 1.2237073183059692, 0.9096758961677551, -0.37017595767974854, 0.5094456076622009, -0.1390332132577896, -0.5156132578849792, -0.13263565301895142, -0.6244812607765198, 0.8273084759712219, -1.1590898036956787, 0.1888303905725479, -0.8121649026870728, -0.5266595482826233, -0.19214773178100586, -0.31746983528137207, 0.5679506659507751, 0.024417385458946228, 0.8308443427085876, -0.6192564964294434, -0.7847958207130432, -0.16784122586250305, 0.3110978603363037, -0.05688292160630226, 0.6310192346572876, -0.22446568310260773, -0.7367071509361267, 0.9104894399642944, -0.3397403061389923, 0.7294946312904358, 0.7290831804275513, 0.40439164638519287, -0.183837890625, -0.7812932133674622, -0.03388400375843048, 0.2837419807910919, 1.016776204109192, 0.635597825050354, 0.9924289584159851, 0.3069952130317688, -0.07368840277194977, 0.32701408863067627, 0.6209080815315247, -0.4307195544242859, -0.6108954548835754, 0.551677405834198, 0.36740705370903015, -0.0028008227236568928, -0.28160718083381653, 0.0960683599114418, -0.3384537696838379, 0.4312933385372162, 0.44790998101234436, -0.8251833915710449, 0.6250132322311401, 0.7932538390159607, 0.2603820562362671, 0.8711920976638794, 0.12483467161655426, -0.1344856470823288, -0.7736032009124756, 0.2565723955631256, 0.2856258749961853, -0.2778930962085724, -0.6489426493644714, 0.6845141649246216, -0.212341770529747, 0.915148138999939, -0.9979093670845032, -1.0738946199417114, -1.5069962739944458, 0.1850724071264267, 0.45795702934265137, -1.1296486854553223, 0.41320502758026123, -0.37278980016708374, -0.2940846085548401, -0.1279982179403305, 0.26186129450798035, -0.4235513508319855, -0.14268366992473602, 0.7422947287559509, 0.13825947046279907, 1.478832721710205, 0.23726347088813782, 0.38286086916923523, 0.38660481572151184, 0.3103550672531128, 0.2585848271846771, -0.9550709128379822, 0.88121497631073, 0.04558189958333969, -0.469327837228775, -0.03388437256217003, -0.012957237660884857, -0.2749527096748352, -0.5649421811103821, -1.4331886768341064, -0.7505275011062622, -0.20730271935462952, 0.42513296008110046, 0.20042261481285095, -0.33151644468307495, 0.3082144558429718, -0.10253813117742538, -0.6280312538146973, -0.48997053503990173, 0.8668365478515625, -1.5631754398345947, -1.0201330184936523, -0.9467527866363525, 2.4130029678344727, 0.37538275122642517, 0.36809033155441284, 0.9855537414550781, -1.1583542823791504, 0.8977640271186829, 0.8343798518180847, -0.17293667793273926, -0.4216442406177521, 0.12437638640403748, -0.3252880871295929, -0.034373968839645386, -0.2518097758293152, -0.2811187207698822, -0.7758458256721497, -0.39611801505088806, -0.22746771574020386, -0.968529224395752, 0.43736588954925537, 0.6438897252082825, -0.5943453907966614, 0.11731557548046112, -0.6417303681373596, 1.4710521697998047, 0.732721209526062, 0.43224966526031494, 0.7629116773605347, 0.3302154541015625, -0.43376803398132324, -0.3576402962207794, 0.35767662525177, 2.1502127647399902, 0.18207597732543945, 0.2169700711965561, -0.5037357807159424, -0.2884126603603363, -1.268506407737732, -0.3485507667064667, 1.5896596908569336, -0.7603605389595032, -0.9885125756263733, -0.9957283735275269, 0.6739242076873779, -1.072599172592163, -0.34501415491104126, 0.6395711898803711, -0.5631838440895081, 0.8737237453460693, -0.12960512936115265, 0.7320714592933655, 0.7323440313339233, 0.18844684958457947, 0.5903756022453308, 0.4634495675563812, 0.631391704082489, -0.654291033744812, -0.2870376706123352, -0.38552162051200867, 1.6101667881011963, 0.41772031784057617, -1.6680469512939453, 0.29626181721687317, -0.008296521380543709, -0.25450006127357483, 0.2882792055606842, -0.5552990436553955, -2.9982025623321533, 0.10951998084783554, 0.8342152237892151, -1.409788727760315, -0.3100071847438812, -0.5017606019973755, -1.2503606081008911, 0.23602628707885742, 0.35477161407470703, -0.21977099776268005, -0.0380941741168499, 1.2485721111297607, 1.4180458784103394, 0.20141704380512238, 1.2412365674972534, -0.5733868479728699, -0.870769202709198, 0.7285746932029724, -0.6418397426605225, -0.3439170718193054, -0.1463061422109604, -1.509199619293213, -0.18294121325016022, -0.15089252591133118, -0.23705503344535828, -0.8339439630508423, 0.23027345538139343, 0.19634589552879333, -0.03695594519376755, 1.4017374515533447, -0.3501703143119812, 1.3243545293807983, -0.07340998202562332, -0.19304470717906952, -1.1649088859558105, -0.3254547417163849, 0.47858819365501404, 0.522367000579834, -0.227017343044281, -8.36681079864502, 0.8447110652923584, -1.1507076025009155, -1.1305623054504395, 0.1383991837501526, 0.6892409324645996, 0.7780162692070007, -0.6457000970840454, -0.12574821710586548, -0.08870521932840347, -0.4298225939273834, 0.6387134194374084, -0.7260162830352783, 0.35126519203186035, 0.6443535685539246, 0.22492113709449768, 0.44684717059135437, 0.1449100524187088, -1.7291282415390015, 0.167342871427536, 0.35350313782691956, 0.29530709981918335, 0.43032747507095337, -0.18273694813251495, -1.2252179384231567, 0.0040068477392196655, -0.6166107654571533, -0.43265771865844727, -1.1819090843200684, -0.7973591685295105, -0.8184162378311157, -0.9057106375694275, 1.081053614616394, 0.14602331817150116, -0.387920081615448, -0.7434749603271484, -0.132485032081604, 0.7190672755241394, 0.42037084698677063, 0.40802305936813354, 1.17010498046875, -1.3057258129119873, 0.1246696263551712, -0.8986124992370605, 0.05485665798187256, 0.18100182712078094, -0.041913971304893494, -0.3899208903312683, 0.2498125284910202, -0.5709943771362305, -1.2169142961502075, 1.7730222940444946, 0.27787983417510986, 0.7928322553634644, -1.2794697284698486, -0.6654975414276123, -0.20048733055591583, -0.4526973366737366, 0.19766326248645782, -0.5896168947219849, 0.2622045576572418, -0.2338256686925888, 0.02379288151860237, -0.4019410014152527, -0.63706374168396, -1.0142544507980347, -0.8058307766914368, 0.625109851360321, 0.3052075505256653, -0.18728624284267426, -0.5196619629859924, -0.5451422929763794, 1.9810210466384888, 0.41490697860717773, 0.7747523784637451, -0.6681776642799377, -0.02273876778781414, -0.06178690120577812, 1.0935508012771606, 1.4306387901306152, 0.8578087687492371, 0.3039264380931854, -0.41696107387542725, -0.13884906470775604, -0.45714113116264343, 0.016633404418826103, -0.11704707145690918, 0.04249362275004387, 0.11195600777864456, -1.3358012437820435, 0.7527514100074768, 0.930733323097229, -0.3816077709197998, 0.5002413392066956, 0.1880548596382141, 0.7938892841339111, 0.5819613933563232, -0.973953127861023, -0.22817356884479523, -0.6382337808609009, -0.899330198764801, -0.4556589722633362, -0.3580835163593292, 0.05080757290124893, 0.5660260319709778, 1.4940446615219116, 0.214718759059906, 0.009665334597229958, 0.7062203884124756, -0.2600317597389221, 0.02870575711131096, 1.1420239210128784, -0.566138744354248, 0.8447118997573853, -0.12663960456848145, 0.12446042150259018, 0.12473690509796143, 0.5548068881034851, -1.0512138605117798, -0.07279573380947113, -0.9289839267730713, -0.3500291109085083, -1.024662733078003, 0.5540583729743958, 0.5955057740211487, -0.2708592712879181, 1.253154993057251, -0.8881576061248779, 0.7881460785865784, -0.6807798743247986, 0.30529025197029114, -1.2661806344985962, 1.078433632850647, -0.5624639391899109, -0.43595361709594727, 1.3244733810424805, -0.5415530204772949, -0.2931993305683136, -0.5448752641677856, 0.5973463654518127, -0.08576326817274094, -0.28292685747146606, -0.6824398636817932, -0.46838364005088806, -0.534283459186554, -0.9459152817726135, -0.756683349609375, -0.5335880517959595, -1.6923857927322388, 0.450509637594223, -0.5984920263290405, -1.7137603759765625, 0.46609145402908325, 0.661855936050415, 0.146323099732399, -0.06702747941017151, -1.5454202890396118, -0.6403598785400391, 0.34287288784980774, -0.6468155980110168, 1.090407371520996, -0.7101020812988281, -0.294476181268692, 0.5776846408843994, -0.33613714575767517, 0.07037973403930664, -0.6148483753204346, -0.17759163677692413, -1.1953836679458618, -0.6037936806678772, 1.0252809524536133, -0.409056693315506, -0.09306477755308151, 0.10725824534893036, -0.5419211387634277, -2.078611373901367, 1.2647298574447632, 0.5013463497161865, 0.1107780784368515, -0.5435365438461304, 0.048077210783958435, 0.7218729257583618, -0.07163571566343307, 0.1610196977853775, 0.24068662524223328, 0.25610315799713135, 0.8543251156806946, -0.3032098412513733, -0.48138871788978577, 0.35297098755836487, 0.5109918713569641, 0.26044386625289917, -0.02218572609126568, 1.531292200088501, -1.0360430479049683, -0.4683474004268646, -0.7612064480781555, 0.6602450609207153, 0.6222094297409058, 1.010039210319519, -0.3305840492248535, 1.7728843688964844, 0.1806061863899231, 0.1820531040430069, 0.3732905089855194, 1.0212087631225586, -0.30645275115966797, 0.6253837943077087, -0.3183154761791229, 0.6620759963989258, -0.11015313118696213, 0.6005162000656128 ]
1,028
0704.1030
Pouria Pedram
G.R. Jafari, M. Reza Rahimi Tabar, A. Iraji zad, G. Kavei
Etched Glass Surfaces, Atomic Force Microscopy and Stochastic Analysis
5 pages, 6 figures;
Physica A 375 (2007) 239
10.1016/j.physa.2006.09.012
null
physics.data-an
null
The effect of etching time scale of glass surface on its statistical properties has been studied using atomic force microscopy technique. We have characterized the complexity of the height fluctuation of a etched surface by the stochastic parameters such as intermittency exponents, roughness, roughness exponents, drift and diffusion coefficients and find their variations in terms of the etching time.
[ { "created": "Sun, 8 Apr 2007 14:20:26 GMT", "version": "v1" } ]
2015-05-13
[ [ "Jafari", "G. R.", "" ], [ "Tabar", "M. Reza Rahimi", "" ], [ "zad", "A. Iraji", "" ], [ "Kavei", "G.", "" ] ]
07
[ -0.7034639716148376, 0.8660253882408142, 0.25451868772506714, 0.13013964891433716, -0.7992181777954102, -0.14612926542758942, 0.8488518595695496, 0.02325643040239811, -0.14792948961257935, -0.5034469366073608, -0.08681222796440125, -0.1522272825241089, 1.2674154043197632, -0.2677566111087799, -0.7672411203384399, -1.1140896081924438, -0.5209720730781555, -0.19305184483528137, 0.19117602705955505, 0.6213963627815247, 0.008128789253532887, -0.11839848756790161, 0.13971275091171265, 0.5282261967658997, 0.2944793403148651, 0.41405189037323, -0.7797819972038269, -0.37001246213912964, -0.4977950155735016, -0.04783283919095993, -0.23248647153377533, 0.9186670780181885, 1.0674344301223755, 0.5866986513137817, 0.2863219976425171, -0.6126004457473755, 1.596511960029602, -0.1872333586215973, -0.9690278172492981, -0.7911688089370728, -0.050371840596199036, -0.5980058312416077, 0.3446417450904846, 0.06755490601062775, -0.4956117272377014, 0.036442454904317856, -0.6040380597114563, -0.9989729523658752, -0.39109840989112854, -0.006391291040927172, 0.45116913318634033, 1.7226078510284424, -0.5963675379753113, -0.685535728931427, 1.7288002967834473, 0.34960585832595825, -0.24264071881771088, -0.33030077815055847, -0.18354299664497375, 0.21497301757335663, 0.47158733010292053, 0.05401577055454254, -0.09506579488515854, 0.46384894847869873, 0.34421828389167786, -0.7389571666717529, 1.7792088985443115, 0.8232235908508301, 0.8488120436668396, 0.5746747255325317, -0.6831905245780945, -0.46133700013160706, -0.44620391726493835, -0.20381662249565125, -0.910888671875, 1.2674469947814941, -0.23339258134365082, 0.38369274139404297, 1.4287774562835693, -0.7483209371566772, -1.3388360738754272, -0.7304909229278564, 0.25018101930618286, 0.33000874519348145, -0.2780170142650604, 0.21260251104831696, 0.46030810475349426, -0.08449660986661911, -0.10709088295698166, 1.1153244972229004, 0.45044592022895813, -1.3389718532562256, -0.05413910374045372, -0.4234713912010193, 1.6489758491516113, -0.0669199600815773, 0.4925217926502228, 1.0725467205047607, 0.12216120213270187, -0.05703999847173691, 0.21669046580791473, 0.06495752930641174, 0.7699671387672424, -0.7226994037628174, 0.0924500972032547, 0.4054490923881531, -0.1919041872024536, 0.0940396636724472, -1.0894259214401245, -0.09337118268013, -0.14359070360660553, 0.5716322064399719, 1.0647375583648682, 0.859836220741272, -1.0504348278045654, 0.07065118849277496, -1.1208887100219727, -0.21755950152873993, -0.5445277094841003, -0.5347334146499634, 0.19136983156204224, 0.24783778190612793, -0.028170162811875343, 0.4902161955833435, 0.35505691170692444, 1.418116807937622, -0.6871730089187622, -0.459235280752182, -0.0726710855960846, -1.304306149482727, -0.5276811718940735, -0.46738895773887634, 0.16721706092357635, -0.9023226499557495, -0.6596857905387878, 0.3809204697608948, -0.1671605408191681, 0.21088877320289612, 0.547024667263031, -0.5669662952423096, 0.6149464845657349, -0.2099536508321762, -0.39230450987815857, -0.7734408378601074, -0.12895148992538452, -1.2645225524902344, -0.6828513145446777, 0.045498352497816086, -0.7022606134414673, -0.07608356326818466, -0.28231626749038696, -2.019477605819702, 0.7608131170272827, 1.0212643146514893, 0.386709988117218, 0.16020193696022034, 0.26415109634399414, 0.1708333045244217, -0.1934339702129364, -0.14006467163562775, 0.41731464862823486, -0.09651605784893036, 0.32840660214424133, -0.38650640845298767, -0.4037112295627594, 0.46317431330680847, -0.08791658282279968, -0.7745428085327148, -0.3253558874130249, -0.2114766538143158, -1.4768548011779785, -0.6627883911132812, -0.05148705467581749, 0.3532624840736389, -0.49228399991989136, -0.4942638874053955, 0.4447554647922516, 0.1436069905757904, -0.18770244717597961, -0.09050191938877106, 0.279162734746933, -0.2901022732257843, -0.07707482576370239, -0.6721428036689758, 0.0361153744161129, -0.3205477297306061, 0.40694573521614075, 0.05891763046383858, -0.7604219913482666, -0.21420012414455414, -0.032050617039203644, 1.0912562608718872, -0.08136570453643799, 0.6177840828895569, -0.6111602783203125, -0.07143741846084595, 0.42075562477111816, 0.6389637589454651, 0.061720751225948334, 0.1254861205816269, 1.643544316291809, -0.8466008901596069, 0.19699211418628693, 0.016933854669332504, -2.336320161819458, -0.14071612060070038, 0.5415972471237183, -0.006702978163957596, -0.7454690337181091, -0.26362133026123047, -1.6432217359542847, 0.4866185784339905, -0.933914065361023, 0.6063718795776367, 0.33305802941322327, 0.21166011691093445, 0.14637179672718048, -1.2459269762039185, -0.4924975037574768, -0.5116166472434998, 0.16858533024787903, 0.5766780972480774, 0.1262136548757553, -0.0380307175219059, -1.1869510412216187, -0.19576354324817657, -1.0701137781143188, -0.013629467226564884, -0.5986252427101135, -0.9463470578193665, -0.03530092537403107, -1.0120941400527954, 0.02460084669291973, -0.22461262345314026, 1.4205952882766724, 0.6721301674842834, -0.4681859314441681, -0.9852873086929321, -0.2790448069572449, -0.08761648833751678, -0.13664957880973816, 0.20932915806770325, 0.3997589349746704, 0.6331454515457153, -0.3232153356075287, 1.0706007480621338, 0.8585929274559021, 0.06864466518163681, -0.6062054634094238, -0.4724775552749634, -1.1391640901565552, 1.018833875656128, -0.2898825407028198, 0.7908421158790588, -0.27909767627716064, 0.6932650208473206, 0.15095412731170654, 0.031406745314598083, 0.5103632211685181, -0.2212226390838623, 0.4929286241531372, -1.766395926475525, 1.288815975189209, 0.5018148422241211, -1.5497186183929443, 0.26026660203933716, -0.4052855372428894, -0.10320112854242325, 0.04315813630819321, -0.44558316469192505, -0.6506615281105042, -0.860262930393219, 1.2212321758270264, 1.0109862089157104, -0.5171377062797546, 0.33843907713890076, -0.2532516121864319, -0.7310336232185364, -0.47401076555252075, -0.025508541613817215, -0.4798373579978943, 0.008727982640266418, 0.5438945293426514, 0.0855775699019432, 0.5645940899848938, -0.15324032306671143, 0.09545839577913284, 0.05302874743938446, 0.199890598654747, -0.14944325387477875, -0.11103225499391556, 0.5364276170730591, -0.931684136390686, 2.036351203918457, -0.06071661785244942, -0.881009042263031, -0.8978956341743469, -0.0038077482022345066, -0.4121798276901245, -0.404488205909729, 0.33410269021987915, 0.14536939561367035, -0.39688557386398315, 0.9109243154525757, 0.7224210500717163, -0.9354546070098877, 0.6158933043479919, -0.10764557868242264, -0.7939675450325012, 0.6412312984466553, 0.6394324898719788, 1.7367467880249023, 0.9891068935394287, -0.7464458346366882, 0.908341646194458, 0.5839694738388062, 0.37889549136161804, -0.6641007661819458, 0.6661948561668396, -1.2582429647445679, -0.27878493070602417, 1.5970674753189087, -0.43859076499938965, 0.11677876114845276, 0.8738064169883728, -0.420324444770813, 0.4654800593852997, -0.9298566579818726, 0.14208519458770752, 0.344258576631546, 0.5235958695411682, 0.7118232250213623, -0.30112141370773315, 0.10237748175859451, -0.13982217013835907, -0.23979295790195465, 0.7543728351593018, -0.47168540954589844, -0.2027604579925537, -1.0760953426361084, -0.49873989820480347, 2.0189926624298096, 0.594692051410675, -0.44947585463523865, -0.016289854422211647, 0.2579483687877655, 0.0208637323230505, -0.3502712547779083, -0.3736027181148529, -0.04189058393239975, -1.1473852396011353, 0.5402592420578003, -0.9540159702301025, -0.1336585432291031, -0.03792862594127655, -0.6654992699623108, 0.7014592289924622, 0.5976788997650146, 0.18281002342700958, -0.6489624381065369, -0.29292812943458557, -0.5926222205162048, 0.6893156170845032, -0.4952932596206665, 1.1839346885681152, 0.039495211094617844, -1.361158847808838, 0.5591229200363159, -0.0606132373213768, 0.1786203533411026, 0.7099469900131226, 0.537055253982544, -0.821696937084198, -0.3745468556880951, 0.21663977205753326, -0.5273255705833435, 1.0620228052139282, -0.06898760795593262, 0.47535374760627747, 0.2165212631225586, 0.1956150084733963, 0.9050973057746887, 0.21158020198345184, -0.19527234137058258, -0.417592853307724, 0.4068303406238556, 0.011702723801136017, 0.4119005501270294, 0.15784266591072083, 0.23719152808189392, -0.6163798570632935, 0.25284239649772644, 0.3020537197589874, -0.3625960946083069, 0.3237677812576294, 0.5272983312606812, 0.017382942140102386, 0.4144352376461029, -1.1791293621063232, -0.09088210016489029, -0.3370392322540283, 0.1533879041671753, 0.9366738200187683, -0.3418950140476227, -0.583818256855011, 0.24160979688167572, 0.4300486147403717, 0.8625586032867432, -0.7244460582733154, -0.6984376311302185, -0.2692416310310364, 0.7627277970314026, 0.27575650811195374, -0.6038297414779663, 1.279284954071045, -1.0133103132247925, 0.17162343859672546, 0.07200416177511215, 0.5509387254714966, -0.926628053188324, -0.8273285627365112, 0.2641144096851349, 0.11338229477405548, 0.8671855926513672, -0.4242517650127411, -0.4409521222114563, -0.30550774931907654, 0.33494916558265686, 0.019676292315125465, -0.4293956756591797, 0.7409054636955261, -0.8839272260665894, -0.2204250544309616, 0.484083890914917, 0.10325648635625839, -0.8052560091018677, -0.8784151673316956, -0.6054185628890991, -0.9809061288833618, -0.8811218738555908, -0.4922645092010498, -0.32001474499702454, -0.8123315572738647, -0.23191389441490173, 0.2727554142475128, -0.6263571381568909, 0.046443209052085876, 1.0528676509857178, -0.8994807600975037, -0.8664788007736206, -1.8245770931243896, 1.0125418901443481, 0.4789913594722748, 0.19026407599449158, 0.18059338629245758, -1.8566863536834717, 1.6899609565734863, 0.3587612807750702, -0.22375917434692383, 0.0034308945760130882, 0.23236890137195587, -0.6661855578422546, 0.3239501118659973, -0.24164125323295593, 0.32878169417381287, -0.518738329410553, -0.37951070070266724, -0.4890371263027191, -0.8240751624107361, 0.9338787794113159, 0.849312961101532, -0.3330354690551758, -0.20509999990463257, -0.792245626449585, 0.1529819518327713, 0.9645707607269287, -0.10396093130111694, -0.29556384682655334, 0.24470452964305878, -0.5553018450737, 0.15164557099342346, 1.1819075345993042, 1.010277271270752, -0.3802192807197571, 0.735619843006134, 0.35440272092819214, -0.1580316573381424, -0.9538366198539734, -0.5367884635925293, 1.8078409433364868, -0.34221208095550537, -0.48339077830314636, -0.467341810464859, -0.4068731665611267, -1.0777961015701294, -0.5589053630828857, 0.32203513383865356, 0.42301082611083984, 0.8632386922836304, 0.1769520789384842, 0.22387321293354034, -0.6912620663642883, -0.011501344852149487, -0.7480181455612183, -0.7762695550918579, 0.12757012248039246, -0.735549807548523, -0.280751496553421, -0.09597883373498917, 1.35748291015625, 0.5367885828018188, -0.5370616912841797, 0.43699342012405396, 1.083931803703308, 0.4444105625152588, 0.3478361964225769, -0.7454915046691895, -2.989506959915161, 0.5705110430717468, 0.25121259689331055, -1.8182401657104492, -0.3311045467853546, -0.3696080148220062, -1.399422526359558, 0.32883545756340027, 0.1028624102473259, -0.12977167963981628, -0.22548460960388184, 1.2790168523788452, 1.8992273807525635, 0.33187440037727356, 0.4524837136268616, -0.3164818584918976, -0.44009050726890564, 0.1207629069685936, -0.3884745240211487, 0.14561422169208527, -0.11697500944137573, -1.3910871744155884, -0.14105960726737976, -0.009055319242179394, 0.21150410175323486, -1.2318352460861206, -0.9614318609237671, 0.817708432674408, -0.6407247185707092, 1.153293490409851, -0.2480488419532776, 1.281328797340393, 0.3126308023929596, -0.7460353374481201, -0.7394015789031982, -0.017520537599921227, 0.6290006041526794, 0.6510763168334961, 0.07426230609416962, -8.866171836853027, 0.6464744806289673, -1.2385483980178833, -1.3581281900405884, 0.26765111088752747, 0.10082412511110306, 0.6834022998809814, -0.9605841040611267, -0.228422611951828, -0.6777774095535278, -0.1586143970489502, 0.3516763746738434, -0.9865266680717468, 0.11514254659414291, 0.29469767212867737, -0.024531112983822823, -0.1581602394580841, 0.007216431200504303, -0.6732088327407837, 0.7185364961624146, 0.23004941642284393, 0.015698442235589027, 0.8535633683204651, -0.5382108688354492, -1.4145424365997314, -0.46805787086486816, -0.5793973803520203, -0.22490109503269196, -1.105785846710205, -0.5035662651062012, -0.08144573122262955, -0.9435468912124634, 0.2335006147623062, -0.20121876895427704, -0.790976881980896, -0.3975652754306793, 1.074940800666809, 0.4930506944656372, 0.7549740076065063, 0.09659949690103531, 0.9131089448928833, -1.0507829189300537, 0.15120650827884674, -1.381920576095581, 0.6255265474319458, 0.3696765899658203, -0.18773536384105682, 0.005243674851953983, 0.8287363648414612, 0.2954558730125427, -1.7862844467163086, 1.0550721883773804, 0.39139094948768616, 0.4216994345188141, -1.449633002281189, -0.699031412601471, -0.48687031865119934, -0.30272454023361206, -0.30213990807533264, -0.6819896101951599, -0.8818435668945312, 0.1405210793018341, -0.7024727463722229, -0.9269605278968811, -0.5646646618843079, -0.7967703342437744, -0.8914427161216736, 0.2756061553955078, 0.16757354140281677, 0.2530575394630432, -0.17530544102191925, -1.1488784551620483, 1.9342610836029053, 1.076977252960205, -0.2706325948238373, -0.32913389801979065, 0.3155074417591095, 0.13902150094509125, 0.6987578868865967, 0.8069595694541931, 1.0257329940795898, 0.9104489684104919, 0.1681232750415802, -0.30943942070007324, -1.1799607276916504, 0.043094974011182785, 0.2459045797586441, 0.015449389815330505, 0.6642938852310181, -1.6644150018692017, -0.46073371171951294, 0.3661022186279297, -0.48621833324432373, 1.3152315616607666, -0.250049889087677, 0.8651572465896606, 0.9165621995925903, 0.34947484731674194, -0.4202015995979309, -1.1303411722183228, -1.10344660282135, -0.7362504005432129, 0.3466436266899109, 0.16828039288520813, 1.1088593006134033, 1.3854197263717651, 0.13740190863609314, 1.3124463558197021, 0.14927104115486145, -0.6264032125473022, 0.24688398838043213, 1.3527538776397705, -0.38948550820350647, 0.6303224563598633, -0.7491695284843445, 0.3585463762283325, -0.37183496356010437, 0.7447660565376282, -0.81753009557724, -0.09440287202596664, -0.7962474226951599, 0.8834171891212463, -1.3977019786834717, 0.3302597403526306, -0.00809910986572504, -0.2588902711868286, 1.5688698291778564, -0.7794922590255737, 0.9039703011512756, -0.41944724321365356, 0.4845438599586487, -0.9607881307601929, 0.3969663977622986, 0.9697324633598328, -0.12185421586036682, 1.6995233297348022, -0.2796844244003296, -0.4728936553001404, -0.058620188385248184, -0.7227398157119751, -0.04067254811525345, 0.8522173762321472, -0.7296273112297058, -0.08983788639307022, -0.5707038640975952, -0.5626705884933472, -0.27358561754226685, -0.7032133936882019, -1.3153791427612305, 0.16502326726913452, 0.11156610399484634, -1.836979627609253, 0.13556741178035736, 1.8234714269638062, 0.4451610743999481, -0.40505343675613403, -1.839161992073059, -0.4169238209724426, -0.6521641612052917, -1.0632579326629639, 1.0858856439590454, -0.34387320280075073, -0.4878808259963989, 0.06600440293550491, -0.8294596672058105, -0.016284070909023285, -0.18668991327285767, 0.30843856930732727, -0.6429197192192078, -0.542944610118866, 1.1135526895523071, -0.25676825642585754, -0.7484599351882935, 0.06013362854719162, -0.5839494466781616, -1.3285424709320068, 1.3479247093200684, 0.9343331456184387, -0.819715142250061, -0.7688259482383728, -0.09334893524646759, 1.9078177213668823, 0.4322492778301239, -1.03378164768219, -0.17448751628398895, -0.9956341981887817, 0.6132681965827942, -0.2062416970729828, -0.6532736420631409, -0.604468584060669, 0.2853134572505951, 0.342277467250824, -0.4321536123752594, 0.3297266364097595, -1.4366796016693115, -0.8246505856513977, -0.02190527133643627, 1.1986204385757446, 0.3127080500125885, 1.0182721614837646, 0.0008260203758254647, 1.8419851064682007, 0.12188063561916351, -0.24625514447689056, 0.21127471327781677, 0.866167426109314, -0.047468822449445724, -0.01803136058151722, -0.2643490731716156, 0.7709795236587524, -0.15772691369056702, 0.5412557125091553 ]
1,029
0704.1031
Hiromi Okada Dr.
H. Okada, I. Alekseev, A. Bravar, G. Bunce, S. Dhawan, K.O. Eyser, R. Gill, W. Haeberli, H. Huang, O. Jinnouchi, Y. Makdishi, I. Nakagawa, A. Nass, N. Saito, E. Stephenson, D. Sviridia, T. Wise, J. Wood, A. Zelenski
Measurements of Single and Double Spin Asymmetry in \textit{pp} Elastic Scattering in the CNI Region with Polarized Hydrogen Gas Jet Target
4 pages
AIP Conf.Proc.915:681-684,2007
10.1063/1.2750871
null
hep-ex
null
Precise measurements of the single spin asymmetry, $A_N$ and the double spin asymmetry, $A_{NN}$, in proton-proton (\textit{pp}) elastic scattering in the region of four-momentum transfer squared $0.001 < -t < 0.032 ({\rm GeV}/c)^2$ have been performed using a polarized atomic hydrogen gas jet target and the RHIC polarized proton beam at 24 GeV/$c$ and 100 GeV/$c$. The polarized gaseous proton target allowed us to achieve the measurement of $A_{NN}$ in the CNI region for the first time. Our results of $A_N$ and $A_{NN}$ provide significant constraints to determine the magnitude of poorly known hadronic single and double spin-flip amplitudes at this energy.
[ { "created": "Sun, 8 Apr 2007 15:09:49 GMT", "version": "v1" } ]
2010-12-13
[ [ "Okada", "H.", "" ], [ "Alekseev", "I.", "" ], [ "Bravar", "A.", "" ], [ "Bunce", "G.", "" ], [ "Dhawan", "S.", "" ], [ "Eyser", "K. O.", "" ], [ "Gill", "R.", "" ], [ "Haeberli", "W.", "" ], [ "Huang", "H.", "" ], [ "Jinnouchi", "O.", "" ], [ "Makdishi", "Y.", "" ], [ "Nakagawa", "I.", "" ], [ "Nass", "A.", "" ], [ "Saito", "N.", "" ], [ "Stephenson", "E.", "" ], [ "Sviridia", "D.", "" ], [ "Wise", "T.", "" ], [ "Wood", "J.", "" ], [ "Zelenski", "A.", "" ] ]
07
[ 0.20282575488090515, 0.24029392004013062, 0.021275946870446205, -0.7572161555290222, -0.3024965822696686, 0.7045419812202454, -1.041870355606079, -0.39179906249046326, -1.7516305446624756, 0.12302637100219727, 0.4129470884799957, 0.37210944294929504, -0.9816360473632812, -0.9952251315116882, -0.8950936794281006, -0.06330913305282593, 0.30185234546661377, -1.2639312744140625, -0.23885399103164673, -0.21085967123508453, 0.27430787682533264, 0.6749659776687622, 0.37051495909690857, -1.0378198623657227, -0.3636247515678406, 0.5420998334884644, 1.083761215209961, -0.8921168446540833, -1.58424711227417, 0.25153249502182007, 0.6426428556442261, 0.590943455696106, -0.2716856896877289, -0.705036997795105, -0.15028618276119232, -0.7799872159957886, -0.4434971511363983, -0.2435968667268753, -1.4797462224960327, -0.15435664355754852, 0.38644856214523315, 0.02219342067837715, -0.5836892127990723, 0.7094300985336304, 0.5475208759307861, -0.13640254735946655, -0.8363495469093323, -0.3662321865558624, 0.21057547628879547, 1.1267582178115845, -1.1988996267318726, 0.0631486177444458, -0.16304251551628113, 0.9215971231460571, -1.6577950716018677, 0.6883317828178406, -0.06902123987674713, -0.4808101952075958, 0.19543026387691498, -1.138089656829834, -0.20599138736724854, -1.2616488933563232, 0.8596824407577515, -0.5699238777160645, 0.4720804691314697, 0.15088659524917603, 0.23789550364017487, -0.25743627548217773, -0.7037956118583679, 0.7564124464988708, -1.7982726097106934, -0.07598876953125, -1.5724016427993774, -0.12896135449409485, -0.8422112464904785, -0.5677834153175354, -0.19728854298591614, -0.05207667499780655, 1.7432900667190552, 1.131772756576538, -0.576259970664978, 0.7864720225334167, -0.34464114904403687, -0.7266603112220764, -0.16255170106887817, -0.33226004242897034, 0.16829976439476013, -1.0886965990066528, -1.304861307144165, -0.39852580428123474, 0.005554173141717911, -0.8686486482620239, 0.5754799842834473, -0.21592433750629425, 0.52173912525177, 0.9338604807853699, -1.353259801864624, -0.9330191612243652, -0.18675260245800018, -0.6191319227218628, -0.10964398086071014, 0.8987045288085938, -0.24548247456550598, 0.6932873725891113, -0.43005555868148804, 0.6400812864303589, -1.3336509466171265, 0.7713658809661865, -1.0017569065093994, 0.18505142629146576, -0.15985755622386932, 0.13614173233509064, -1.4072566032409668, -0.44900208711624146, 0.1559913605451584, -0.7261103391647339, -0.4415237307548523, 0.32297757267951965, 0.6961080431938171, 0.36532315611839294, -1.0212817192077637, -0.8339102268218994, 0.15818633139133453, -0.7383748292922974, 0.9157688021659851, -0.00368989584967494, -0.7310390472412109, -0.34020113945007324, 0.2142283320426941, -0.8297690153121948, -1.0911388397216797, -0.07278215140104294, -0.7767127752304077, 0.7835179567337036, -0.3009781241416931, 0.22502076625823975, -1.7827855348587036, 0.7138686180114746, -0.2893790006637573, 0.06449642777442932, 1.8928534984588623, 0.025052690878510475, -0.08679632097482681, -0.4182649850845337, -0.7876141667366028, -0.9475985765457153, 0.10438285768032074, 0.3840778172016144, 0.0071189310401678085, 0.01348500233143568, 0.06293266266584396, -1.2288036346435547, -0.949675977230072, -1.2530587911605835, -1.1351630687713623, -1.4304746389389038, -0.0819569081068039, 0.4030474126338959, -0.14403487741947174, 1.066395878791809, 0.589244544506073, 0.7212478518486023, -0.995676577091217, -1.3927921056747437, -1.1298000812530518, -0.48212936520576477, 0.06757113337516785, 1.3770190477371216, -0.2692182660102844, 0.882177472114563, -1.3762292861938477, -0.17144574224948883, -0.8206349611282349, 0.7019770741462708, 0.45820295810699463, 0.11502712965011597, -0.27698397636413574, -0.38807281851768494, -1.0016508102416992, 0.3904593586921692, -0.10783147811889648, -0.43736159801483154, -1.1871147155761719, -0.8512939214706421, 0.3439646363258362, -0.009027483873069286, 1.3926059007644653, -0.9833038449287415, -0.2825295031070709, -0.58315110206604, -0.8440088629722595, 0.48689886927604675, -1.858025312423706, -0.6366214752197266, -0.7451480627059937, 0.9526116251945496, -0.2103142887353897, 1.3407166004180908, 0.15370899438858032, -1.0924395322799683, -0.3680136203765869, 0.3857516348361969, 1.2893177270889282, 0.41718003153800964, -0.1785397082567215, 0.38499054312705994, 0.09664379805326462, 0.5338380932807922, -0.5644274353981018, 0.9604153633117676, -0.44070765376091003, 0.2908768951892853, 1.053292989730835, 0.448085755109787, 0.7922191023826599, 0.4802040159702301, 0.7247804403305054, -0.5061796307563782, 0.5857017636299133, -0.423270583152771, 0.7142579555511475, 0.8673698306083679, 0.6686668992042542, -0.03824533522129059, -0.09856602549552917, 0.5119880437850952, -1.0079853534698486, 0.43493059277534485, 0.7948684096336365, -0.7482055425643921, -0.20094303786754608, 1.5354328155517578, 0.9468358159065247, -0.5680144429206848, 1.863897442817688, 0.6578192114830017, -0.5762158036231995, -0.5001840591430664, -0.6895098090171814, -0.2206912785768509, 1.0033366680145264, 0.1639317274093628, -0.37017402052879333, 0.40999436378479004, -0.2061499059200287, -0.18529155850410461, -0.025014759972691536, -1.1369532346725464, 1.7331870794296265, -0.055531974881887436, -0.3980128765106201, 1.0322470664978027, 0.1391279250383377, -0.09648401290178299, 0.3479190468788147, -0.4470228850841522, -0.08734527230262756, -1.4955562353134155, -0.5983989834785461, -0.36239877343177795, -0.8167178630828857, -0.33947646617889404, -0.7726141810417175, 1.5747079849243164, 0.45426151156425476, -0.019964423030614853, -0.1711108535528183, -0.4745885729789734, -2.275754690170288, -1.0088558197021484, 1.204122543334961, 1.5603153705596924, 1.0335158109664917, -1.087524175643921, 0.6718015670776367, 0.024128485471010208, -0.05020614713430405, -0.16510224342346191, -1.441432237625122, 0.6704413294792175, -0.9839542508125305, -0.026605773717164993, -0.6921743750572205, 0.22770103812217712, -0.8955745697021484, 0.18005922436714172, 0.6245567798614502, -0.34856411814689636, 0.8476536870002747, 1.1090850830078125, 0.7148873209953308, 0.6627928018569946, -0.22177822887897491, -0.40355631709098816, -0.314046174287796, -0.1005033329129219, 1.2248287200927734, 0.3381117582321167, -1.210184931755066, 0.18212482333183289, -0.6894525289535522, -0.015202842652797699, -0.17134110629558563, 0.16675859689712524, -0.40844398736953735, -0.5060697197914124, 0.4417572617530823, -0.20462828874588013, -0.11469276249408722, -1.2442469596862793, -0.575452446937561, -0.5810639262199402, -1.008650302886963, -0.22781223058700562, 1.0040783882141113, 0.6618559956550598, 0.27922844886779785, -0.7266685366630554, -0.5711918473243713, -0.8146401643753052, -1.8223867416381836, 0.690551221370697, -0.46920421719551086, -0.1875910460948944, -0.6445456743240356, 0.24643154442310333, 0.9416974782943726, 0.03306161239743233, 1.1730517148971558, -0.7732205986976624, -0.05291665345430374, -0.6359180808067322, 0.7360373139381409, -0.47143951058387756, 0.20224711298942566, 0.1310746669769287, 0.498019814491272, 1.0667840242385864, 0.9385544061660767, -0.2629340589046478, -0.09287157654762268, -0.25985968112945557, 0.6308755278587341, 0.23637083172798157, -1.280033826828003, -0.2564966082572937, -1.210374116897583, 0.23933956027030945, -0.05993393436074257, 0.20996606349945068, 0.7141104340553284, 0.5726746916770935, 2.1080477237701416, -0.6683480739593506, 0.6154710650444031, -0.05456565320491791, 0.4429834187030792, -0.6139753460884094, 0.5002984404563904, 0.9651166200637817, -0.9571386575698853, -0.6248274445533752, -0.365840345621109, 0.8886450529098511, -0.55615234375, 0.6464748382568359, 0.23125453293323517, -0.12034991383552551, -0.619697093963623, 0.28960832953453064, 0.5342976450920105, 0.14213567972183228, -1.2040276527404785, -0.20596541464328766, -0.5805665254592896, 0.7129145860671997, 0.8872280120849609, 1.2827507257461548, -0.8287801742553711, 0.034564852714538574, -0.08413887768983841, -0.5119895935058594, 1.645301342010498, 0.94792640209198, -0.024097038432955742, 0.7270957827568054, 0.8295470476150513, -0.3734411299228668, -0.6881265640258789, -0.16890420019626617, -0.5367969274520874, 0.6339364647865295, 0.4925121068954468, -1.099811315536499, -0.5240445137023926, 0.4246259927749634, -0.2699647843837738, -0.8678783774375916, -0.14177608489990234, 0.9258019924163818, -1.4177157878875732, 0.6367815136909485, -0.6892667412757874, 0.06813769787549973, -0.2548724114894867, 1.6986844539642334, 0.17033976316452026, -0.3974001407623291, 0.4521004259586334, -0.059230342507362366, -0.15862418711185455, 2.3138961791992188, -0.0791318416595459, -0.28450846672058105, 0.710857093334198, -1.056108832359314, -0.7561917901039124, 1.057807445526123, -0.8011086583137512, -0.14067848026752472, 0.14466261863708496, 0.2252487689256668, -0.17930158972740173, 0.6136991381645203, 1.4650282859802246, 0.8542113304138184, 0.15227946639060974, 0.4718960225582123, 0.2359192967414856, 0.8921621441841125, -0.45547202229499817, -0.6798483729362488, -0.8888700008392334, -0.5850242376327515, -0.2298969030380249, 0.3819226920604706, -0.2222186028957367, 0.2376270741224289, -0.35766518115997314, -0.26614755392074585, 0.5324709415435791, 0.11311539262533188, -0.016107147559523582, 0.6472183465957642, -1.1750441789627075, 0.33485347032546997, -0.38646605610847473, 0.16695626080036163, -0.2774389684200287, 0.626019299030304, 0.10380817949771881, -0.9821131229400635, 0.5250130891799927, -0.22953519225120544, -0.16025696694850922, -1.4246411323547363, -1.8628009557724, 0.586079478263855, 0.20269501209259033, -0.2604767978191376, -0.10071264952421188, 0.16830269992351532, 0.7696276307106018, -0.37702786922454834, 2.0173118114471436, -0.9059832096099854, 1.511496663093567, -2.141077756881714, -0.49401670694351196, 0.3734385371208191, 0.9095313549041748, -0.3750891089439392, -0.08372373133897781, -2.0263657569885254, -0.6108617782592773, -0.03975638747215271, 0.34847745299339294, 1.362969160079956, 1.860060691833496, -1.5330090522766113, 0.7112111449241638, 1.766516089439392, -0.8099328279495239, 1.6363141536712646, -0.20641881227493286, 0.004713616333901882, -0.015450208447873592, -0.8325040936470032, 0.19421175122261047, 0.23966722190380096, 0.21600082516670227, -0.0869271457195282, 0.17271538078784943, 1.588341474533081, 1.533308982849121, 0.16445137560367584, 0.12802264094352722, -0.11340591311454773, 0.872418999671936, 0.0064858198165893555, -0.1220628097653389, 0.14217257499694824, -0.679078221321106, -0.5766996145248413, -1.4984145164489746, 1.8843084573745728, -0.743891179561615, 0.7144264578819275, -0.9973570704460144, 0.2640496492385864, -0.2880828380584717, 1.0657280683517456, -1.1059409379959106, -0.10344964265823364, 0.21943219006061554, 0.630973219871521, 0.6194205284118652, -2.220897912979126, -0.22557497024536133, 0.15299664437770844, 0.3002808690071106, -0.4895741641521454, -0.20348727703094482, 0.7418807148933411, -0.781990647315979, -0.5630139708518982, -0.6719395518302917, 1.2863792181015015, 0.4095434844493866, -0.3136240839958191, -0.7201030850410461, -1.184239149093628, 0.36491236090660095, 0.24079418182373047, -0.6512994766235352, -0.3825785219669342, 0.0005765874520875514, -1.0671333074569702, -0.7161825895309448, -0.6469013094902039, -0.4956410825252533, 0.3854193091392517, -0.6399438977241516, -0.205328106880188, -0.24600112438201904, -0.022960606962442398, 0.19838950037956238, -0.10744340717792511, 1.2109383344650269, -0.05310184136033058, -0.1629597693681717, 0.15814204514026642, -0.4297997057437897, -0.24454626441001892, 0.23652899265289307, 0.18843983113765717, -6.377232074737549, 0.4339076578617096, -0.1047101616859436, -0.19388514757156372, 0.6823825836181641, -0.29743531346321106, -0.037227075546979904, -1.2661468982696533, 0.20580704510211945, 1.5774741172790527, 0.03430541604757309, -0.33727139234542847, -0.5867877006530762, 0.04377426207065582, -0.9950794577598572, 0.5472784042358398, 0.028388170525431633, 0.7249996662139893, 0.3519045412540436, -0.3999117612838745, -0.34571942687034607, -0.09458702802658081, -0.3275320827960968, 0.18995730578899384, -1.256142258644104, 0.2914693057537079, -0.4836445152759552, -0.1182207390666008, -0.16387632489204407, 0.6565051078796387, -0.6506285071372986, 0.9763060808181763, -0.4634949564933777, 0.42868325114250183, 1.6798981428146362, -0.39173924922943115, 2.0757241249084473, 1.8433091640472412, 0.3685729503631592, -0.5070838928222656, 0.46122848987579346, 0.5863003730773926, -0.7629314064979553, -1.7603517770767212, -0.20470665395259857, 0.14185912907123566, -0.6396397948265076, -0.7545516490936279, -0.3685012757778168, 0.30683013796806335, 0.8214697241783142, 0.5273361802101135, -0.6665935516357422, 0.8391972780227661, 0.22065132856369019, -1.0975197553634644, -0.7344232201576233, 0.538956344127655, -0.7855352163314819, -0.15220819413661957, 0.34129002690315247, -0.11245214194059372, 1.1653870344161987, -0.9966408014297485, -0.9184806942939758, -0.7401767373085022, 1.3437941074371338, 0.31241676211357117, -0.6127290725708008, 0.49362319707870483, 0.5409113764762878, 0.2272276133298874, 0.07574904710054398, -0.23899458348751068, -0.5310183763504028, 0.3036583364009857, -0.15594710409641266, 0.583305299282074, -0.21203339099884033, -0.05768904834985733, -0.1791808158159256, -0.13725952804088593, -1.1920740604400635, -0.5675310492515564, 0.25489744544029236, 0.011079593561589718, -0.39055246114730835, 0.8755331039428711, 0.4712660312652588, -0.4862975478172302, 0.3516475260257721, -1.1593233346939087, 0.8584410548210144, 0.8555065989494324, 0.5893474817276001, 0.3923778235912323, 1.2636477947235107, -0.7042003870010376, -0.9053585529327393, 0.6270812153816223, -1.0778697729110718, -0.3384193480014801, -0.9328240752220154, -0.15984994173049927, 0.8436392545700073, -0.7647200226783752, -1.6364959478378296, -0.4792688190937042, 0.020494934171438217, 0.8268789052963257, 1.321528673171997, 0.041652388870716095, -0.04586925730109215, 0.06680579483509064, -0.09627988934516907, 0.491591215133667, -0.38346174359321594, -0.1419735848903656, 0.9516949653625488, 0.14691540598869324, -1.0303330421447754, -0.702567994594574, -1.0990804433822632, -0.6690590977668762, 0.9997745156288147, 0.1914346069097519, 0.5440895557403564, -0.12625360488891602, -0.45517218112945557, -0.47769272327423096, -0.3261583149433136, 0.2912771999835968, -0.9963532090187073, -0.3640289306640625, -0.07709112018346786, -0.7557634115219116, 0.5688811540603638, -0.04538135975599289, -0.5659988522529602, 0.5205606818199158, 2.1642892360687256, -0.2823290526866913, 1.065819263458252, -0.7749074101448059, -0.17204679548740387, -0.7720268368721008, -0.34229016304016113, -0.8208735585212708, 0.2049703449010849, 0.21059584617614746, 0.3750110864639282, 0.7242758870124817, 0.6847305297851562, 0.9562700986862183, 0.04828501120209694, 0.026715882122516632, -0.36875686049461365, 0.34958791732788086, 0.4128384292125702, 0.5184622406959534, 0.9980075359344482, -0.7861163020133972, 0.34271496534347534, 0.08229286968708038, -0.15615114569664001, -1.538803219795227, 0.22934696078300476, -0.4944402277469635, -0.4313260614871979, 0.16142882406711578, 0.20445185899734497, 0.5177140235900879, 0.2871512174606323, 1.6083900928497314, -0.24132658541202545, -0.2457921952009201, 0.09305252134799957, 1.6501189470291138, 0.044596537947654724, 0.0965900793671608, 0.4532439112663269, -0.9385750889778137, 0.36752137541770935, -0.3110445737838745, -0.6607556939125061, 1.3600904941558838, 0.1516464799642563, -0.744322657585144, 0.11309658735990524, 0.2884041368961334, -0.8563089966773987, -0.06166142225265503, 0.19886137545108795, -0.11401388794183731, -0.1382334679365158, 0.26974231004714966, 0.03976626321673393, 1.2666553258895874, -0.30089071393013, 0.6771198511123657, -1.9869014024734497, 0.48781588673591614, 0.2041751593351364, -0.1628759205341339, 0.40129348635673523, 0.8965325951576233, 0.11124454438686371, -0.02226138859987259, -1.4355906248092651, -0.36637595295906067, -0.1956382393836975, -0.5192744135856628 ]
1,030
0704.1032
Yaacov Kopeliovich
Yaacov Kopeliovich
Theta constants identities for Jacobians of cyclic 3-sheeted covers of the sphere and representations of the symmetric group
7 pages
null
null
null
math.CV
null
We find identities between theta constants with rational characteristics evaluated at period matrix of $R,$ a cyclic 3 sheeted cover of the sphere with $3k$ branch points $\lambda_1...\lambda_{3k}.$ These identities follow from Thomae formula \cite{BR}. This formula expresses powers of theta constants as polynomials in $\lambda_1...\lambda_{3k}.$ We apply the representation of the symmetric group to find relations between the polynomials and hence between the associated theta constants.
[ { "created": "Sun, 8 Apr 2007 15:27:59 GMT", "version": "v1" } ]
2007-05-23
[ [ "Kopeliovich", "Yaacov", "" ] ]
07
[ 0.07532723248004913, -0.06467556953430176, -0.5611931085586548, 0.40379756689071655, -0.5125499963760376, 0.3346099257469177, -1.2062020301818848, 0.08278053998947144, -1.51265549659729, -2.115582227706909, -0.8645893335342407, -0.665604829788208, -0.24108386039733887, -0.6418350338935852, -1.7688263654708862, 0.4814370572566986, -1.3092914819717407, -0.17710982263088226, 0.21423527598381042, 0.23354168236255646, -0.9150485992431641, -0.8341578841209412, 0.27729302644729614, 0.3988562524318695, 0.4512259364128113, -0.8187095522880554, -0.08690321445465088, -1.2574976682662964, -1.2797214984893799, 0.2475678026676178, 0.41038066148757935, -0.031605660915374756, -1.1942955255508423, -0.5564895272254944, -1.793186068534851, 0.1429568976163864, -0.6227570176124573, -1.156017780303955, 0.1956319957971573, -0.2471950799226761, 2.8911280632019043, -0.9207575917243958, -0.32172682881355286, -0.2185627520084381, 0.9312325716018677, -0.416211873292923, -0.1847573071718216, -0.03764087334275246, -0.34195688366889954, 0.044245701283216476, -0.03075156919658184, 0.2507462203502655, -0.9502877593040466, -0.5335409045219421, 0.6626319885253906, 0.056589215993881226, -0.5844100713729858, 0.42593204975128174, 0.169173926115036, 0.006339509505778551, -0.15274891257286072, 0.24642853438854218, -0.018634308129549026, 0.8981784582138062, 0.11034703254699707, 0.019688680768013, -0.6181931495666504, 0.7241762280464172, 1.234463095664978, 0.5061876773834229, 0.8365784287452698, -1.1067928075790405, -0.13966204226016998, -0.7000791430473328, -0.12125017493963242, 0.3857617974281311, 0.010035717859864235, -0.04070616513490677, 0.6190909743309021, 0.4716910421848297, -0.7226079702377319, -0.9128941297531128, 0.17801988124847412, 0.06882770359516144, 0.5643911361694336, 0.7998340129852295, 0.1186569482088089, 0.5625512003898621, -0.18884466588497162, 0.016963552683591843, -0.4740210175514221, -1.142740249633789, -0.7263163924217224, -0.3257056176662445, 0.17537009716033936, -0.4682079553604126, -0.8713746070861816, 0.8276649713516235, -0.36762145161628723, -0.8672881722450256, 0.16149824857711792, 0.690727949142456, -0.0785854384303093, 0.22924982011318207, 0.013535048812627792, 0.1821916252374649, 0.8667730093002319, 1.261130690574646, 0.534537136554718, 0.2690609097480774, 0.17368125915527344, -1.3355679512023926, 1.0564868450164795, 0.0458376407623291, -0.9463487863540649, 0.9433095455169678, -0.07334040105342865, 0.1651953160762787, 1.7271947860717773, -1.4013477563858032, -0.22354859113693237, -0.05371052771806717, 0.5451735258102417, -1.018202543258667, -0.05477477237582207, 0.18362560868263245, -0.3390829265117645, 0.08190859109163284, -0.16159877181053162, -0.5997209548950195, -0.5353275537490845, 0.06104172766208649, 1.2901068925857544, -0.5481327176094055, -0.6551817655563354, 1.7525177001953125, 0.44952353835105896, -0.4115428030490875, 0.1623363196849823, -1.1809296607971191, -0.3842766582965851, -0.43125244975090027, -1.1786129474639893, 1.2665659189224243, 1.3021602630615234, -1.6259087324142456, -0.9544112682342529, -0.029771478846669197, 0.4666435718536377, -0.17835502326488495, 0.9753723740577698, 0.7449097037315369, 0.10140074044466019, 0.37326672673225403, -0.48776736855506897, 0.2411738634109497, 0.33463340997695923, 1.551662802696228, -0.5950815677642822, 0.851219117641449, 0.07712853699922562, -0.22157582640647888, 0.5606054663658142, -0.2892461121082306, 0.7564108371734619, -0.44958576560020447, 0.03392937034368515, -0.6400642395019531, 0.045312922447919846, 0.049038905650377274, -2.36710262298584, -1.2195638418197632, 0.6690561771392822, -0.16416718065738678, 1.634791374206543, -0.4041978716850281, -0.8639439940452576, 0.4378786087036133, 0.43803203105926514, 0.7000650763511658, -2.1176397800445557, -0.2497057467699051, -0.5665263533592224, -1.715949296951294, -0.21393628418445587, -1.24675452709198, 0.4858573377132416, -0.4832324683666229, 1.6132147312164307, -0.7472379803657532, -0.6552784442901611, -0.8663461804389954, -1.0644148588180542, -1.6007863283157349, 0.6232751607894897, -1.1675841808319092, 0.973656952381134, 0.2022620141506195, 0.4496059715747833, 0.7547557950019836, -0.47554120421409607, 1.2992678880691528, -0.42643895745277405, -0.8816836476325989, -0.7173888087272644, 0.3288065791130066, 1.3332523107528687, -0.06945984810590744, 0.10827548056840897, -0.8265039920806885, 0.03992122784256935, 0.48508116602897644, 0.9914479851722717, 0.4280443489551544, 0.7450388073921204, -0.7485846281051636, 0.7364121079444885, -0.6336833238601685, 0.7720823287963867, 0.8372024893760681, 1.1274492740631104, 1.393096923828125, -0.28303250670433044, -0.26884862780570984, 0.8029636740684509, -0.3477930426597595, 0.011868459172546864, -1.3166414499282837, -0.7053948640823364, -0.4406076669692993, -0.49646997451782227, 0.1152515709400177, -1.2912447452545166, 0.4144226014614105, 0.9346978664398193, -0.17883701622486115, -0.09718666225671768, -0.6944388747215271, 0.16618415713310242, 0.39533349871635437, -0.9757993221282959, 0.7121906876564026, -0.3574041724205017, -0.5836306214332581, -0.9086148738861084, -0.1942218840122223, -0.13384048640727997, 0.7383939027786255, 0.902283787727356, 0.7578803896903992, -0.9507526755332947, -0.7773127555847168, 0.5500946640968323, 0.23496326804161072, -0.45921745896339417, -0.126298189163208, 0.799436092376709, -0.9790129661560059, -0.8996174335479736, -0.4056541919708252, 0.17638157308101654, 0.7235268950462341, 0.32381245493888855, 0.29084068536758423, 0.1134486272931099, -2.038459062576294, -0.6618390083312988, 0.6109958291053772, 0.3811955749988556, -1.2238690853118896, -0.15554873645305634, 0.49756577610969543, 0.5265133380889893, 0.2223990112543106, 0.3720274567604065, -0.7362136244773865, 0.046007849276065826, -0.5519812107086182, 1.0233886241912842, -0.8548597693443298, 1.3899145126342773, 0.9979400634765625, -0.1105763241648674, 0.9660772085189819, -0.6891325116157532, 0.341387003660202, 0.8582141995429993, -0.07517418265342712, 0.21443261206150055, -0.1388537436723709, 0.1353808045387268, -0.4541667699813843, 0.27786991000175476, 0.23647603392601013, -0.9347335696220398, -0.4961119592189789, -0.5601557493209839, 0.467805951833725, 0.7990633845329285, 0.3119695782661438, -1.161650538444519, -0.3213008940219879, -0.3299597203731537, -0.3497667908668518, -0.7228487730026245, -0.019232716411352158, 0.02079816348850727, 0.29962047934532166, -0.5155066251754761, 0.006553074810653925, -0.7233605980873108, 0.7017861008644104, 0.2979286015033722, -0.8525384664535522, 0.8498330116271973, 1.271823525428772, 0.25597086548805237, -0.5271113514900208, -0.007971973158419132, 0.02284816838800907, -1.3610512018203735, 0.13891153037548065, 0.891313374042511, -0.20912306010723114, -0.22082984447479248, 0.23633235692977905, -0.27671802043914795, -0.4042406976222992, -0.49457690119743347, 0.42017337679862976, 0.2487376183271408, -0.04356720298528671, 0.2810094952583313, -0.38984256982803345, -1.0245100259780884, -0.2545205056667328, -0.6047250032424927, -0.27151942253112793, -1.031390905380249, -1.3001418113708496, -0.7563226222991943, 0.12128054350614548, 0.3815979063510895, -0.28845834732055664, -1.4763123989105225, -0.19190309941768646, -0.85369873046875, -0.21358701586723328, -0.9494823217391968, 0.12627172470092773, 0.38076409697532654, -0.9175420999526978, 0.8544935584068298, 1.6526689529418945, 0.1855996996164322, 0.20449431240558624, 0.28565317392349243, 0.8026674389839172, 0.34070685505867004, -0.041434962302446365, 0.4484882652759552, 1.2297323942184448, -0.4387674033641815, -0.29115229845046997, -0.8581217527389526, -0.11151836067438126, -1.531510591506958, 0.35928353667259216, 0.43982136249542236, -0.3688536286354065, 0.23439879715442657, -0.24684488773345947, -0.9116240739822388, 0.02726527862250805, 0.39383643865585327, 0.023613039404153824, -1.6549673080444336, -0.11026038229465485, -0.9239120483398438, 0.30129319429397583, 0.27138251066207886, 0.7413926720619202, 0.17797493934631348, -0.08853456377983093, 0.703676700592041, 0.39460185170173645, 1.5011571645736694, -0.9237953424453735, -1.194667100906372, -0.008705572225153446, 0.5014866590499878, -0.5339674949645996, -0.008177371695637703, 0.5312429666519165, -0.3546842336654663, 0.4048866331577301, -1.1328532695770264, -0.6781582832336426, -1.3786722421646118, 0.16117899119853973, -0.09873784333467484, 0.2989691495895386, -0.22476060688495636, -0.6820906400680542, 0.9005300402641296, -0.04923805966973305, 0.2301604300737381, 0.7441760897636414, -0.22580279409885406, 1.5172755718231201, 0.26051342487335205, -0.9148690700531006, -1.3885725736618042, 0.6809358596801758, 0.4073637127876282, -0.862792432308197, 0.5070062279701233, -1.3305912017822266, -0.5733124017715454, -0.2829053997993469, 0.13626225292682648, -0.5595719218254089, -0.7924033403396606, 0.1019342690706253, 0.1705152690410614, -0.6710137724876404, -0.9761591553688049, 0.9430340528488159, 0.269001841545105, 0.6015089750289917, 0.15290381014347076, 0.42718592286109924, -1.5235228538513184, -0.2937107980251312, -0.21998251974582672, 1.3131678104400635, -0.44516441226005554, 0.18069104850292206, 0.07200103253126144, -0.8145316243171692, -0.014007874764502048, -0.09912560135126114, -0.8226482272148132, -1.5760654211044312, 0.02228601649403572, 0.6781371831893921, 0.1431463360786438, 2.316179037094116, -1.0635027885437012, 0.5281012058258057, 0.579531192779541, -0.5529618263244629, -0.02323431894183159, 0.16339176893234253, -0.05119883641600609, 0.34129342436790466, 0.28716230392456055, 0.32991522550582886, -1.2445144653320312, -0.1014632135629654, -1.3561547994613647, -0.12021913379430771, 0.13549365103244781, -2.110111951828003, -0.21197064220905304, -1.1828802824020386, 0.11061681061983109, -0.20862171053886414, 0.579412043094635, 0.26237064599990845, 0.2900390625, -0.5953675508499146, -0.5841394662857056, -0.2738765776157379, -0.07561632990837097, -1.1455684900283813, 0.9292581081390381, 0.6964442729949951, 1.58222234249115, 0.1681945025920868, 1.1106462478637695, 2.0242767333984375, -1.761672019958496, -0.41897642612457275, 0.031153464689850807, 0.05536709725856781, 1.0280238389968872, 1.2996960878372192, 0.3617247939109802, 1.5048617124557495, 0.10947427898645401, 0.36033448576927185, 0.17378945648670197, 0.2932364344596863, -0.8044896125793457, 0.7221997380256653, 0.7038852572441101, -0.3445901870727539, -1.3809216022491455, -0.053999416530132294, 0.3882138729095459, -0.8389550447463989, -0.056862182915210724, -1.881665587425232, -0.8586764931678772, -0.9711179733276367, 0.12208320945501328, -0.7982580661773682, 0.5922295451164246, 0.161900594830513, 0.44403696060180664, 0.2708674669265747, 0.4061872661113739, 0.8044976592063904, -0.32433372735977173, -0.5479696393013, -1.5389049053192139, -2.9386744499206543, 0.698415994644165, 0.40112921595573425, 0.8782492280006409, -0.722490668296814, 0.43657463788986206, 0.19865234196186066, -0.0018472480587661266, -0.34395694732666016, -1.2289459705352783, 0.6487855911254883, -1.2535622119903564, 0.9085471034049988, -0.6855557560920715, 0.5961204171180725, -0.6322277188301086, 0.18584877252578735, -1.0007377862930298, -0.00019590181182138622, -0.3034616708755493, 0.05432284250855446, -1.0922985076904297, -0.216132253408432, 0.5064912438392639, -0.012591595761477947, 1.238653302192688, -0.32905152440071106, 1.0491267442703247, -0.8730235695838928, 1.5915067195892334, -0.2725908160209656, -0.2978454530239105, 0.7372782826423645, -1.7155117988586426, 0.41733554005622864, 0.06707871705293655, 0.6898618936538696, -0.2814681828022003, 0.17565293610095978, -6.816932678222656, 0.19000102579593658, 0.39647385478019714, -0.11805826425552368, 1.2940566539764404, -0.4449881613254547, 0.3531775176525116, -0.8238226175308228, -0.13583125174045563, 0.5809702277183533, 1.4449846744537354, 0.7212100625038147, -1.064340353012085, -0.8980636596679688, 0.16727575659751892, 0.27824458479881287, 0.2921111285686493, -0.2579922378063202, -0.5744264125823975, 0.9834503531455994, 0.20332638919353485, -0.19178088009357452, -0.22216370701789856, -0.4766708016395569, -0.7118441462516785, -1.1400631666183472, -0.2676277160644531, -1.7588404417037964, 0.20892949402332306, 0.0319390706717968, 0.015406652353703976, -0.3752865195274353, -0.03139937296509743, 0.047402072697877884, 0.7846722602844238, -0.3112712502479553, 0.13865305483341217, 0.7297167778015137, -1.304208517074585, -1.147289752960205, 0.8800427913665771, -0.34671348333358765, 1.1345890760421753, -0.8385316133499146, -0.688977837562561, 0.03313611075282097, 0.12291721254587173, -0.3494613766670227, 0.8604568839073181, 1.264714241027832, -0.9318679571151733, 0.24202373623847961, 1.3449878692626953, -0.9925966262817383, -0.1276184618473053, 0.5401274561882019, -0.07727009057998657, 0.10560961067676544, -1.034470796585083, -0.6633783578872681, -0.7739162445068359, 0.09841372817754745, 0.5453622937202454, 0.4241313636302948, 0.3295994997024536, -0.6122561097145081, 1.1088863611221313, 0.517902672290802, 0.45811906456947327, 0.6797981858253479, -0.28716614842414856, -0.7168353796005249, -0.5794891119003296, -0.06259389221668243, 0.572770357131958, 0.48019713163375854, 0.06016414985060692, 0.3132054805755615, -0.26563185453414917, 1.4036256074905396, 0.8803837299346924, -0.009008673019707203, -1.0625171661376953, 0.4944227337837219, 0.15142042934894562, -0.7428366541862488, -0.12159214168787003, 1.1966017484664917, 0.7618574500083923, -0.6884539127349854, -0.3853395879268646, 0.41610580682754517, -0.7077364325523376, -0.7699148654937744, 0.9213871359825134, 0.016272641718387604, 0.8549313545227051, -0.708875834941864, -0.901538610458374, 0.6640292406082153, -0.6015251278877258, -0.6440894603729248, -0.09943798184394836, 0.7425472140312195, 0.1312316656112671, 0.07568441331386566, -0.6768808960914612, -0.10113395005464554, 0.33977028727531433, 1.021889567375183, 0.9799378514289856, 1.048764944076538, 0.2483099400997162, -1.17234468460083, 0.2312561422586441, -0.480021595954895, -0.5048920512199402, 1.0890686511993408, 0.04600457102060318, -0.7310836315155029, -0.372036874294281, 1.7148661613464355, -0.028663374483585358, -0.8282411098480225, 1.0758100748062134, -0.8210203647613525, 0.8945831656455994, 1.2200326919555664, -0.7032220959663391, -0.1577598750591278, -0.26011696457862854, 0.7948852181434631, -1.0275570154190063, -0.3041088283061981, -0.9466675519943237, 0.10678598284721375, 0.04692339897155762, 0.6839632391929626, 0.28104960918426514, -0.09174154698848724, -1.2550867795944214, 0.10777658224105835, 0.7342184782028198, 0.8714195489883423, 0.8589715361595154, -0.30741044878959656, 0.007010454777628183, -0.6351476907730103, -0.3845613896846771, -0.0053991833701729774, 0.0400187112390995, 0.9833779335021973, -0.23495419323444366, -0.47457388043403625, -0.678016185760498, -0.6229754686355591, 0.45307421684265137, -0.7740671634674072, 0.02574828453361988, 0.2373344898223877, 0.40668195486068726, 0.42301681637763977, 0.43864017724990845, 0.23038232326507568, 0.014800957404077053, 0.5774381160736084, 1.0818177461624146, -0.10485648363828659, -1.1534335613250732, 0.5340414643287659, 0.0619831383228302, 0.4663449823856354, 0.3926585912704468, 1.0986387729644775, -0.271264910697937, -0.8229367733001709, -0.4965876042842865, -0.2629905641078949, 1.014952540397644, -0.3705689013004303, 0.7211008071899414, -0.2906348705291748, -0.14302366971969604, -0.41419315338134766, 1.1032499074935913, 1.1366798877716064, -0.4135892987251282, -0.07755427062511444, 1.1712613105773926, 0.6754764914512634, -0.7543379664421082, -0.4252365231513977, -1.4845582246780396, -0.2978455424308777, 0.8658878207206726, 0.1073293685913086, 0.6493195295333862, -0.3278646767139435, -0.6100231409072876, -0.5273037552833557, -0.2634850740432739, 0.9604215025901794, 0.8828858137130737, 0.6015545129776001, -0.9349951148033142, 0.8334959149360657, 0.33977192640304565, 0.4199116826057434, 0.7055099010467529, 0.7954133152961731, 0.3163152039051056, -0.44843918085098267 ]
1,031
0704.1033
Alvaro Pelayo
Alvaro Pelayo
Topology of spaces of equivariant symplectic embeddings
13 pages, 4 figures
Published in Proceedings of the American Mathematical Society 135 (2007) 277-288
null
null
math.SG math.DG
null
We compute the homotopy type of the space of T^n-equivariant symplectic embeddings from the standard 2n-dimensional ball of some fixed radius into a 2n-dimensional symplectic-toric manifold M, and use this computation to define a Z-valued step function on the positive real line which is an invariant of the symplectic-toric type of M. We conclude with a discussion of the partially equivariant case of this result.
[ { "created": "Sun, 8 Apr 2007 17:09:24 GMT", "version": "v1" } ]
2009-09-29
[ [ "Pelayo", "Alvaro", "" ] ]
07
[ 0.9689657092094421, 0.1840844601392746, -0.10581789910793304, 0.1958295702934265, -0.17598554491996765, -0.545818567276001, 0.5983319282531738, -0.8974269032478333, -1.8693444728851318, -0.22199423611164093, 1.0727593898773193, 0.7684250473976135, -0.46320268511772156, -0.625910758972168, -0.7116355895996094, -0.19829943776130676, 0.32335057854652405, -0.051571086049079895, -0.5303125381469727, -0.20587864518165588, -0.38916194438934326, 0.4357132017612457, 0.622447669506073, -0.8693122863769531, -0.6857835650444031, -1.1439239978790283, -0.8666859269142151, -2.025620222091675, -0.6221030950546265, 0.2669731676578522, -0.10452209413051605, 0.8147984743118286, -1.4854748249053955, 0.09092311561107635, 0.5177174210548401, -0.7058825492858887, 0.4667412042617798, -0.2981065809726715, -0.38527822494506836, -0.11386924237012863, -0.15574976801872253, 0.2639649510383606, 1.2583190202713013, -0.7083396911621094, -0.06665059924125671, -0.4560606777667999, -0.1410718411207199, 0.9214553833007812, 0.12118758261203766, 0.8906675577163696, -0.2361314296722412, 0.7676277756690979, 0.5009790062904358, -0.8740854263305664, 0.6983678936958313, 0.1619749367237091, -0.687955915927887, -0.5501044392585754, 0.607879638671875, -1.212640643119812, -0.14765553176403046, 0.023488113656640053, 0.3041166365146637, 1.2107946872711182, -0.033171672374010086, 0.8533768653869629, -0.020401621237397194, 1.228191614151001, 0.2985230088233948, 0.04437456652522087, 0.5043894052505493, -0.6685190796852112, -1.2926191091537476, -0.6763758063316345, 1.0062593221664429, -1.2911964654922485, 2.165884017944336, -1.0721639394760132, 0.6878455281257629, -0.16436739265918732, 0.280448317527771, -1.3842343091964722, -0.3826148211956024, -0.4488036036491394, 0.08116932958364487, -1.2672799825668335, 0.5408557653427124, 0.22623330354690552, -0.23230110108852386, 1.5490527153015137, 1.9162321090698242, 0.3649244010448456, -0.9241661429405212, 1.1550506353378296, -0.24447904527187347, -0.7478287220001221, -0.4603677988052368, 0.02028699591755867, -0.14845730364322662, -1.296091079711914, -0.09733407944440842, -0.774371325969696, 0.22624729573726654, 0.6097036600112915, 0.9665928483009338, 0.2515268325805664, 0.7229968309402466, -0.22988633811473846, 0.27105557918548584, 0.10541843622922897, -0.0446104072034359, -0.42048025131225586, 0.055780358612537384, -0.5861751437187195, -0.799897313117981, 1.2319250106811523, -0.8483724594116211, -0.32124030590057373, -0.6171573400497437, -2.8275294303894043, 0.5011292099952698, -0.5426254272460938, 0.30753618478775024, 0.6153228282928467, -0.153740793466568, -0.4470856189727783, 0.04700300097465515, -0.3285157382488251, 0.14071151614189148, 0.5295066237449646, 0.18657729029655457, -0.4068451225757599, 1.0975568294525146, -0.6327641606330872, 0.09623512625694275, 0.5986224412918091, -0.04338337853550911, -0.04610086977481842, 0.10522516071796417, -0.24506202340126038, 0.7814908623695374, 0.2785898447036743, -0.5636494159698486, 1.3516080379486084, 1.2971636056900024, -0.03664618358016014, -0.14305280148983002, 0.6708033680915833, 0.6143067479133606, -0.026876643300056458, -0.30783143639564514, -0.008023414760828018, 1.181241512298584, -1.834572434425354, -0.8651043176651001, -0.6865447163581848, 0.7073938846588135, 1.0905824899673462, 0.2168555110692978, -0.3815520405769348, -0.23439396917819977, -0.010717503726482391, 0.0900193452835083, -1.4180198907852173, 0.711818516254425, 0.9582115411758423, 0.3380279839038849, -0.3260608911514282, 1.0297142267227173, -0.23508350551128387, -1.3456501960754395, 0.6746453046798706, -0.15475285053253174, -0.3125016689300537, 1.1219348907470703, -0.06793684512376785, 0.8301783204078674, 0.09228535741567612, -0.5153310894966125, -0.43714579939842224, -1.5726286172866821, 0.34569233655929565, 0.49590611457824707, 1.6294989585876465, -0.33049476146698, -0.7511207461357117, 1.241286277770996, -1.5355507135391235, 0.2568783760070801, -0.8832865357398987, 0.18767449259757996, -0.11848282068967819, -0.8408949375152588, -0.6803845763206482, 0.03463944047689438, -0.5018079280853271, 0.1253577619791031, 0.772828996181488, -0.04773152992129326, -1.042864203453064, 1.313597559928894, -0.3579353392124176, -0.8071432113647461, 0.7542718052864075, -0.16548456251621246, 0.7829729318618774, 0.6101021766662598, 1.166732907295227, 0.6048808097839355, -1.6473251581192017, -0.8962251543998718, -0.9100435376167297, -0.4483910799026489, -0.342176616191864, 1.4068984985351562, -1.2012208700180054, -0.1830376833677292, -1.2091457843780518, -0.23042672872543335, 0.7709208726882935, -0.2156757414340973, 0.10895195603370667, 0.4143267869949341, -0.1483578085899353, -0.10994131118059158, 0.9488106369972229, 0.8161934614181519, -0.3694676458835602, -0.2927835285663605, -1.0487353801727295, -0.3493039309978485, -2.006578207015991, -0.997046947479248, -0.23296910524368286, -0.2146424949169159, -0.4397721290588379, -0.7275180816650391, -0.7471948862075806, 0.6727214455604553, 1.0558947324752808, -0.12163226306438446, -0.07578473538160324, -0.34300729632377625, -0.9112359881401062, -0.3348228633403778, -0.482546865940094, 1.2678780555725098, -0.09789620339870453, -0.10279741138219833, 0.3983094394207001, 0.5228137373924255, -0.5549025535583496, -0.7196456789970398, 0.030804630368947983, -0.38996821641921997, -0.7817449569702148, 0.0442819781601429, -0.9804937839508057, -1.8663349151611328, 0.4087889790534973, -0.16601188480854034, -0.007965229451656342, -0.4295109808444977, 0.8858569860458374, 0.6391391158103943, -1.2721585035324097, 1.0457165241241455, 1.321096420288086, 0.16412876546382904, -0.3222384452819824, 0.30072328448295593, 0.4751904010772705, 1.7244480848312378, 0.8062130808830261, -0.17909753322601318, 0.9506344795227051, -0.831443190574646, -0.6702804565429688, -0.5895530581474304, -0.47624191641807556, 0.9881499409675598, 1.6275455951690674, -0.3081243336200714, 1.2057422399520874, 0.8726834058761597, -0.4977399706840515, -0.6435483694076538, 0.41395607590675354, 0.1537896692752838, 0.011086980812251568, -0.878872275352478, -0.9649127721786499, -1.472519874572754, 0.37069907784461975, -0.09807613492012024, -1.2035198211669922, -0.9665979146957397, 0.13136997818946838, -2.06274151802063, 0.5696184635162354, -0.3284899592399597, -1.1759748458862305, -0.9134596586227417, 0.5097803473472595, -0.5315732955932617, 0.7819071412086487, 0.0917542353272438, 1.3800456523895264, -0.36995628476142883, -0.40681424736976624, -0.7980107665061951, 0.34282878041267395, 0.10415346175432205, -0.4397786855697632, 0.01041341107338667, 1.6056500673294067, 0.8808133602142334, -1.0615540742874146, 0.12885040044784546, -0.719141960144043, -0.21168306469917297, 0.6489036083221436, 1.6250027418136597, -1.0138288736343384, 1.4040683507919312, 0.3603200316429138, 0.7040754556655884, 0.16008605062961578, -0.6481418609619141, 0.03501792997121811, 0.23176069557666779, -0.09211795032024384, -0.44244539737701416, -0.1998361349105835, -2.4838614463806152, -0.7804483771324158, 1.5148768424987793, 0.4301302134990692, 1.2280175685882568, 0.2614019215106964, -0.588298499584198, 0.3747256100177765, -0.9654698967933655, -0.2205686718225479, -0.11542699486017227, 0.11764831840991974, -0.07653451710939407, 0.25101619958877563, -1.3536102771759033, 1.0864461660385132, -0.015610935166478157, -1.098019003868103, 0.6401318311691284, 0.22273239493370056, 0.21715334057807922, -0.6564905047416687, 0.5955857038497925, 0.8828350305557251, 0.5588584542274475, -0.19036877155303955, 0.535953938961029, -0.5156338810920715, 0.2264755666255951, -1.2522304058074951, 0.8034200072288513, 0.34645184874534607, 0.7455174326896667, -0.08532191067934036, 0.9295654892921448, 0.717542290687561, -1.3224401473999023, 0.545120120048523, -0.924316942691803, -1.1005955934524536, -0.5360467433929443, 1.035898208618164, -1.1983668804168701, 0.8475323915481567, 0.4944060146808624, 0.8098105788230896, -0.3694843649864197, -0.0577557235956192, 0.8275583386421204, 0.02807820402085781, -0.5366013646125793, -0.3124711811542511, 0.41310495138168335, -0.5498908758163452, -0.6112574338912964, -0.7541680335998535, 0.5307198762893677, -0.05138510838150978, -0.8287652134895325, 0.8162446618080139, -0.727249264717102, -0.14353357255458832, -0.6472163200378418, -1.9649449586868286, 0.8519423604011536, 1.6661489009857178, -0.639468252658844, 0.07482511550188065, -0.5444872975349426, 0.5426559448242188, 0.16214890778064728, -0.007400214206427336, -1.143695592880249, 1.329427719116211, 0.6324326395988464, 0.11649534851312637, 0.46923622488975525, 0.23037339746952057, -1.1665376424789429, -0.04090147465467453, 0.5340431928634644, 0.3694540560245514, -0.29562461376190186, -0.8218138813972473, 0.4496699869632721, -0.706432044506073, 0.2024240344762802, -0.6057175397872925, 0.6516804099082947, -0.3795056939125061, -1.3795511722564697, -0.47580763697624207, -0.011680721305310726, -0.292535662651062, -1.0116204023361206, -0.2310599982738495, 0.5851957201957703, 0.15929318964481354, -0.21222473680973053, 0.5081643462181091, 0.09795194864273071, 0.2922595739364624, -0.2338295727968216, 1.1353992223739624, -0.3856414556503296, 0.0025087965186685324, -1.769816517829895, 0.45721709728240967, 0.47176527976989746, 0.3571549355983734, -0.13949649035930634, -0.7348780035972595, -0.6211093664169312, 1.009753942489624, -0.47857674956321716, -0.42613011598587036, -0.14434298872947693, 0.6910949945449829, 1.2869046926498413, -1.4995299577713013, 0.24021431803703308, 0.26125556230545044, 1.1750606298446655, 0.47213828563690186, 0.8670395612716675, -0.18408969044685364, -0.5991671681404114, -0.2641527056694031, 0.7499983310699463, -2.4761390686035156, -0.1159713864326477, -0.875590980052948, 0.43084651231765747, 1.0846047401428223, 0.2362699657678604, 0.7457994818687439, -0.006192247848957777, -0.8457719087600708, -0.20065999031066895, -0.27799883484840393, -0.4112093150615692, -0.4175148904323578, -1.0380363464355469, 1.5523183345794678, -0.10226806998252869, 0.6173588633537292, 2.8641765117645264, 0.5301864147186279, -0.20173071324825287, 0.5450604557991028, 0.6641225218772888, -0.5615211725234985, 1.0473713874816895, 0.269931435585022, -0.9405781030654907, -0.4366249740123749, 0.13147999346256256, -0.45106568932533264, -0.3044262230396271, -0.3494703769683838, -0.6685338020324707, 0.29049453139305115, -0.5877435803413391, -0.41912296414375305, 0.06874401867389679, 0.6558914184570312, -0.41596922278404236, -0.86506187915802, -0.07908043265342712, -1.313395380973816, -1.1509767770767212, -0.36610275506973267, -0.11189404875040054, 0.10750440508127213, -0.09620652347803116, -0.15939860045909882, -1.3313043117523193, -0.7805693745613098, 0.40575215220451355, 0.6041910648345947, 0.9596030116081238, -0.11083405464887619, -0.6799185276031494, -3.045334577560425, -0.06154174730181694, 0.9876818656921387, 1.0851349830627441, -0.5747198462486267, -0.3894657790660858, 0.06916460394859314, -0.06144808605313301, -0.37315815687179565, 0.16921775043010712, -0.2981215715408325, -0.7983858585357666, 1.0019670724868774, -0.22670425474643707, 1.1422500610351562, -1.6618891954421997, -0.058800142258405685, -1.8026056289672852, -1.1994259357452393, 0.12074002623558044, 0.005372581537812948, -1.7102761268615723, -0.26801326870918274, 0.6173216700553894, -0.08168508857488632, 0.39148977398872375, -0.5835574865341187, 0.0971868708729744, 0.15497234463691711, 0.5124950408935547, -1.1201629638671875, 0.23697763681411743, 0.44161468744277954, 0.5394945740699768, -0.14146657288074493, 0.713944137096405, 1.2523471117019653, 0.39290478825569153, -0.47972577810287476, -5.822805881500244, 0.46647873520851135, -0.15294651687145233, -0.4845260977745056, 0.9021428823471069, -0.1334371566772461, -0.275672972202301, -0.8572582602500916, 0.6751207113265991, 0.642332911491394, 0.01321122795343399, 0.3688129186630249, 0.1261572539806366, 0.7238332629203796, -0.6215494871139526, -0.019939152523875237, 0.05219081789255142, -0.5018333196640015, 0.45917195081710815, -0.6352846622467041, 0.31998512148857117, -0.019802138209342957, -0.2696397304534912, -0.10871581733226776, 0.9881017804145813, -1.039227843284607, -0.35507720708847046, -1.5770362615585327, 1.0533348321914673, -0.18926486372947693, -0.9101337790489197, 0.5524699091911316, 0.04704582691192627, 0.12022905796766281, -1.2193602323532104, -0.30207353830337524, 0.25666823983192444, -0.29291510581970215, -1.2763456106185913, -0.7808893918991089, -0.42514052987098694, -0.809240996837616, -0.5518873333930969, -0.026209184899926186, -0.09088151156902313, 0.14166833460330963, 0.33391791582107544, 1.0302941799163818, 0.659681499004364, -1.6055183410644531, -0.7530848383903503, 0.607084333896637, 0.8159995675086975, 0.10190781950950623, -1.0136686563491821, 0.40394288301467896, -0.8297890424728394, -0.038351207971572876, 0.024913186207413673, -0.7383057475090027, -0.8537554740905762, 0.8726131319999695, 0.00003222779560019262, -0.055167850106954575, 0.0485825315117836, -0.3393624722957611, -0.39567288756370544, 1.3588299751281738, 0.2579323947429657, 0.8571802377700806, -0.7442193627357483, 0.3543979823589325, -0.14710423350334167, -0.33097583055496216, 0.07449964433908463, -0.019740480929613113, -0.1264166533946991, 1.6409003734588623, 0.03324513137340546, 0.5999997854232788, 1.0150984525680542, 0.30452588200569153, -0.6382895708084106, -1.199611783027649, -1.4489696025848389, -0.4692746698856354, 0.4362547695636749, 1.1171170473098755, 0.07951267808675766, -0.4334854483604431, -0.438831627368927, 0.1252514123916626, -0.7395702600479126, -0.8435858488082886, 0.4921806752681732, -0.378170371055603, -0.31474509835243225, -1.0155922174453735, -0.8798617124557495, 0.08620831370353699, 0.2871421277523041, -0.12445423752069473, 0.785166323184967, 0.6523602604866028, 0.32273414731025696, -0.06315801292657852, 0.1297784000635147, 1.0286166667938232, 0.6861057877540588, 0.17156954109668732, 0.38122692704200745, -0.4263557195663452, 1.131291151046753, -0.3296589255332947, 0.543347954750061, 0.6865528225898743, 0.372822105884552, -0.21889165043830872, -0.03878946974873543, -0.7263440489768982, -0.15047109127044678, 0.39092597365379333, 0.619025707244873, -0.5368624925613403, -0.05934121459722519, 0.5544552803039551, -1.049171805381775, -0.3102538287639618, -0.9834704995155334, -0.19216316938400269, 1.2373991012573242, 0.1683472841978073, -1.376725435256958, 0.37195396423339844, -0.8253936171531677, -0.6502285599708557, 0.4260503351688385, -1.4852887392044067, -0.37013065814971924, -1.1371841430664062, -0.958699107170105, -0.4424140751361847, 0.5430966019630432, -0.10132423788309097, -0.0492824949324131, -0.55010586977005, -0.6560006737709045, -0.22014683485031128, 0.12894214689731598, -0.0599653534591198, -0.26080822944641113, 1.1252747774124146, 0.5350100994110107, -0.670974612236023, -1.4918462038040161, -0.16817018389701843, 0.6732940077781677, 0.31707799434661865, -0.45592522621154785, -0.337121844291687, 0.5624757409095764, 0.4122728705406189, 0.26132798194885254, 1.9382818937301636, 1.0684919357299805, -0.8400962948799133, 0.4305432140827179, -0.30083155632019043, -0.8949081897735596, 0.9483336210250854, 0.602034866809845, 0.4049607217311859, 1.3253024816513062, 0.13903890550136566, -0.5454505085945129, 0.28165897727012634, -0.9796194434165955, -1.5236519575119019, 1.1177185773849487, 0.35834240913391113, 1.1733378171920776, -0.4020923376083374, 0.15014781057834625, -0.47069722414016724, 0.5639455914497375, 1.4876601696014404, 0.10029216855764389, 0.7059318423271179, 0.7118061780929565, 0.029368380084633827, -0.5733832716941833, 0.17359699308872223, -0.25184789299964905, -0.2582603096961975, -1.1841989755630493, -0.08193686604499817, 0.15361833572387695, -0.24233277142047882, 1.0439049005508423, 0.47287023067474365, 0.5589929223060608, 0.9234213829040527, 0.0457695834338665, 0.10626988857984543, -0.5113655924797058, 0.3295687139034271, -0.7641018629074097, 0.04430988058447838, -0.31800174713134766, -0.3123529553413391, -0.18251630663871765, -0.9664756059646606 ]
1,032
0704.1034
Alvaro Pelayo
Alvaro Pelayo
Toric symplectic ball packing
17 pages, 6 figures
Published in Topology and its Applications 153 (2006) 3633-3644
null
null
math.SG math.CO
null
We define and solve the toric version of the symplectic ball packing problem, in the sense of listing all 2n-dimensional symplectic-toric manifolds which admit a perfect packing by balls embedded in a symplectic and torus equivariant fashion. In order to do this we first describe a problem in geometric-combinatorics which is equivalent to the toric symplectic ball packing problem. Then we solve this problem using arguments from Convex Geometry and Delzant theory. Applications to symplectic blowing-up are also presented, and some further questions are raised in the last section.
[ { "created": "Sun, 8 Apr 2007 16:37:53 GMT", "version": "v1" } ]
2007-05-23
[ [ "Pelayo", "Alvaro", "" ] ]
07
[ 0.7713527679443359, -0.0815410315990448, 1.07562255859375, 1.1341091394424438, 0.5958670377731323, -0.42940568923950195, 1.6665716171264648, 0.0700349435210228, -1.50371253490448, 0.23533767461776733, 1.497124195098877, 1.4564577341079712, 0.046754997223615646, 0.08760774880647659, -0.5647162795066833, -0.5578333139419556, 0.17049558460712433, 0.1409662663936615, -1.3123279809951782, -0.4628317356109619, -0.09071013331413269, -0.1066732257604599, -0.37499216198921204, -0.7379898428916931, -0.17509394884109497, -0.4068002998828888, 0.5542893409729004, -1.1713447570800781, -0.2644365429878235, 0.2019037902355194, -0.3596383333206177, 0.4324915111064911, -1.181873083114624, -0.09090813994407654, -0.4893834888935089, -0.11283329874277115, 0.5180641412734985, 0.12857282161712646, -0.6243870854377747, 0.35336819291114807, 0.6964538097381592, 0.45686885714530945, 0.017872890457510948, 0.21913892030715942, 0.25567159056663513, -0.7623250484466553, 0.09013404697179794, -0.01524263434112072, -0.9300550818443298, 1.2302958965301514, -0.38233792781829834, -0.14822757244110107, 0.7845680117607117, 0.009816027246415615, 0.4145531952381134, -0.1378193497657776, -0.27305954694747925, -0.5609545707702637, 0.010726457461714745, -1.3785886764526367, 0.06497032195329666, 0.8521987795829773, 0.693698525428772, 1.073068618774414, 0.19060783088207245, 0.2509567141532898, 0.706502377986908, 0.814900815486908, 0.1406136155128479, 0.7424497604370117, 0.7334818243980408, -0.8722359538078308, -1.7505419254302979, -1.1349666118621826, 0.48058032989501953, -0.8021822571754456, 1.3955165147781372, -0.8890668749809265, -0.02294016256928444, 0.4933803975582123, 0.10773450136184692, -0.8802084922790527, -0.39147377014160156, -0.3764527142047882, 1.1284124851226807, -0.5515214800834656, 0.5674817562103271, 0.5435296893119812, -0.1263352781534195, 1.0434006452560425, 2.1172118186950684, -0.504606306552887, -0.46684229373931885, 0.4652342200279236, -1.4720803499221802, -0.12332029640674591, -0.010767157189548016, 0.537390410900116, -0.23226650059223175, -1.640937089920044, 0.7426322102546692, -0.6524911522865295, 0.16022425889968872, 0.599845826625824, -0.2641499638557434, -0.02094399929046631, 1.4492452144622803, 0.17175628244876862, -0.21134385466575623, 0.8922742605209351, 0.3259168863296509, -0.8521185517311096, -0.9035120606422424, -0.8076965808868408, -1.1987495422363281, 0.5215318202972412, -0.34740307927131653, -0.391544908285141, -0.5246594548225403, -1.2628378868103027, 0.636249303817749, 0.4729442894458771, 0.8129687905311584, -0.3059912919998169, -0.09851115196943283, -0.5267209410667419, 1.063501000404358, -0.3393422067165375, 0.9697065353393555, -0.02376009151339531, 0.6788859367370605, 0.5310884714126587, 0.843924880027771, -0.2720330059528351, -0.06024619936943054, -0.4665422737598419, -0.4593130648136139, -0.0710529312491417, 0.5004023909568787, -0.9483205676078796, 0.33242568373680115, 0.2720904052257538, -1.11747407913208, 0.6028022766113281, -0.36111730337142944, 0.8564574122428894, 0.21246345341205597, 1.012038230895996, 0.18744789063930511, 1.4581925868988037, -0.16225917637348175, -0.5633496642112732, 0.5130967497825623, -0.8863468170166016, -0.076481893658638, -0.774855375289917, 0.8077536225318909, 0.5306944847106934, 0.5679006576538086, -0.32012203335762024, -0.22784587740898132, -0.15914463996887207, 0.881496250629425, 0.49885889887809753, 0.28626400232315063, 0.9730133414268494, 0.5940247178077698, -1.111036777496338, 0.7010000348091125, 0.28112712502479553, -1.9056793451309204, 0.8893107175827026, -0.1456114798784256, 0.518725574016571, 1.1846123933792114, 0.016570990905165672, 0.6423879861831665, -0.008246619254350662, -1.0025235414505005, -0.45446792244911194, -0.5459887385368347, -0.49632224440574646, -0.8771555423736572, 1.4443527460098267, -0.05269808694720268, -0.854913055896759, 0.928855299949646, -0.9144647121429443, -0.1465722918510437, -0.09557466953992844, -0.08842067420482635, -0.4543003439903259, -1.4755470752716064, -0.4323517382144928, 0.40916287899017334, -1.3198814392089844, 0.4896291494369507, 0.4522243142127991, 0.42438918352127075, -0.517786979675293, 0.9191611409187317, -0.4616612493991852, -2.3151471614837646, -0.07246064394712448, -1.3652595281600952, 0.08744414150714874, 0.05695869401097298, -0.3264518082141876, 1.7329204082489014, -1.8471431732177734, 0.250135213136673, -0.18447023630142212, -0.0037070263642817736, 0.17318399250507355, 1.7517242431640625, -0.549387514591217, -0.4404265284538269, -0.8706575036048889, -0.40595540404319763, 0.8936436772346497, -0.2573731541633606, -0.1586098074913025, 0.6266415119171143, -0.5116023421287537, 0.1601662039756775, -0.8231130242347717, 0.8592479228973389, 0.5182846188545227, 0.7379316687583923, -0.14765821397304535, 0.3722711503505707, -1.5160115957260132, -0.517597496509552, 0.023183468729257584, -0.37973833084106445, -0.1742163598537445, -0.32424792647361755, -1.1231151819229126, 1.0229829549789429, 1.0186113119125366, 0.31156793236732483, 0.46105751395225525, -0.4597714841365814, -0.8968815803527832, -0.6666584014892578, 0.5489160418510437, -0.15797382593154907, -0.471915602684021, 0.35761794447898865, 0.3424563407897949, 1.4231970310211182, -0.737074077129364, 0.15918095409870148, -0.747192919254303, -1.375695824623108, -1.058831810951233, -0.2621307373046875, -1.2561800479888916, -2.143622875213623, 0.5932945609092712, -1.3946720361709595, 0.0688587948679924, -0.308104932308197, 0.8373103141784668, 0.9348788857460022, -1.2868378162384033, 0.32138970494270325, 0.6720640063285828, 0.6201462149620056, 0.5730107426643372, 0.4065183997154236, 0.9178629517555237, 1.3009275197982788, -0.022419366985559464, 0.28406503796577454, 0.15355932712554932, -0.7924795746803284, -1.0337103605270386, -0.6412466168403625, -0.8074656128883362, 0.3053949773311615, 1.5067836046218872, 0.2783031165599823, 0.8701157569885254, 0.24093984067440033, 0.30653879046440125, 0.10838662087917328, 0.13222673535346985, 0.6742728352546692, 0.005040166899561882, -0.958307147026062, -0.6195119023323059, 0.28753113746643066, 0.7477781772613525, -0.16582028567790985, -0.26015910506248474, -0.4545818269252777, -0.8005355000495911, -0.8008849024772644, -0.726804256439209, 0.46228277683258057, -0.30583655834198, -0.8108927607536316, -0.6281862854957581, 0.9863395690917969, -0.3258818984031677, -0.6047917008399963, 1.5901328325271606, 0.9373095035552979, -0.09281540662050247, 1.0303515195846558, -0.05460568889975548, 0.0130233746021986, -0.8730234503746033, 0.4768054485321045, 0.5343723893165588, -0.24568071961402893, -0.38633450865745544, 0.25602754950523376, -0.7751603722572327, 0.40506744384765625, -0.33859437704086304, 2.1199886798858643, -0.30304786562919617, 0.19331040978431702, -0.5097179412841797, 0.32179105281829834, 0.030957305803894997, -0.49830886721611023, -1.1035767793655396, -0.01219632476568222, -0.48302778601646423, 0.346825510263443, -0.18152537941932678, -1.4139381647109985, -1.5077333450317383, -0.0004931093426421285, 0.07002843916416168, 0.3414435088634491, -0.08349885046482086, -1.7050609588623047, 0.670539379119873, -0.4402841627597809, 0.33947139978408813, -0.46605730056762695, 0.6678900718688965, 0.05855826660990715, 0.005395183339715004, -0.9501758813858032, 1.2898975610733032, 0.0810096487402916, -0.565984308719635, -0.48249438405036926, 0.1290772259235382, 0.2676961123943329, -0.4792740046977997, 0.2497059553861618, 0.9653341174125671, 0.8460490703582764, 0.44932764768600464, 0.7349957823753357, 0.762682318687439, 0.354824036359787, -0.3624488115310669, 0.5343080759048462, 0.004841753747314215, 0.5014256834983826, -0.31866446137428284, 0.697097659111023, 0.8796296119689941, -1.0987581014633179, -0.08548124879598618, -0.9883842468261719, -0.6564158797264099, -1.5103548765182495, -0.3111572265625, -0.952358067035675, 0.35074034333229065, 0.025776581838726997, 1.0491951704025269, -0.886681079864502, 1.0430463552474976, 0.5903813242912292, 0.15989942848682404, -0.7099753022193909, 0.4532439112663269, -0.06911724805831909, -0.4349123239517212, 0.20078052580356598, -0.6633943915367126, -0.046142544597387314, 0.4695328176021576, -0.5926954746246338, 0.6612150073051453, -1.0775072574615479, 0.6310721039772034, -1.2980694770812988, -1.439445972442627, 0.1553775519132614, 1.7284427881240845, -0.7589442133903503, -0.4131351709365845, -0.4204002916812897, 0.8405172824859619, -0.9770714640617371, 0.1093687042593956, -0.41871392726898193, 1.007970929145813, 0.5200361013412476, 0.015524126589298248, 1.2159225940704346, -0.09370405972003937, -1.226487159729004, -0.02252601645886898, 1.012590765953064, 0.12140803784132004, -0.5020342469215393, 0.40257248282432556, 0.7464777231216431, -0.6411234140396118, 0.06690412014722824, -0.3529861271381378, 0.4929284453392029, 0.936281681060791, -0.21576285362243652, -0.07712505757808685, 1.0044732093811035, 0.7379971146583557, -1.779755711555481, -1.4311617612838745, 0.17593546211719513, 0.33427557349205017, -0.489195317029953, 0.3469569981098175, 0.1928100883960724, -0.16121245920658112, -0.28739041090011597, 0.3394169211387634, -0.23509249091148376, -0.9274126887321472, -0.45628994703292847, 0.29773232340812683, -0.45105305314064026, -0.29355886578559875, -0.3072819411754608, -0.030886651948094368, -0.4139936566352844, 0.8975911736488342, 0.3485851287841797, 0.18735316395759583, -0.16063271462917328, 0.33913806080818176, 1.274374008178711, -0.6419030427932739, -0.1683388650417328, -0.9293416142463684, 2.079782009124756, 0.22020936012268066, 0.6576488018035889, -0.9660474061965942, -1.3341126441955566, 0.10715800523757935, 1.2133036851882935, -2.4847006797790527, -0.5449607372283936, -0.5719504356384277, 0.2627159357070923, 0.9882506728172302, 1.273551344871521, 1.0201399326324463, 0.9654052257537842, -0.7463250160217285, -0.31380152702331543, 0.0037901457399129868, -0.6104231476783752, 1.13343346118927, 0.34792688488960266, 0.6043528318405151, 0.5074175596237183, 0.6687928438186646, 0.9412615299224854, 0.6119387149810791, -0.20006148517131805, -0.16170452535152435, 0.7598986625671387, 1.1965198516845703, 0.2493981271982193, 0.29974794387817383, -1.1914124488830566, -0.47188031673431396, -0.24158507585525513, -0.9687062501907349, -0.5544140934944153, -0.45770570635795593, -0.46373504400253296, -0.6310192942619324, -0.1770009845495224, -0.6235253214836121, -0.610853910446167, 0.4480735957622528, -0.7158530354499817, -0.2634848952293396, 0.4799591898918152, -1.1249421834945679, -0.9488094449043274, -0.7752376198768616, -0.4051859378814697, 0.5369908809661865, -0.21507029235363007, 1.3939366340637207, -0.5415663719177246, -0.6187902688980103, 0.22592508792877197, -0.13451504707336426, 0.19067202508449554, 0.3226815164089203, -1.2372432947158813, -3.209686756134033, -0.7498478889465332, 1.2472689151763916, -0.8288401365280151, 0.03966527804732323, -0.45857924222946167, -0.27243736386299133, -0.47529730200767517, -0.1139756366610527, -0.22559818625450134, -1.2481398582458496, -1.1948444843292236, 0.29194125533103943, 0.06356970965862274, 0.9569255113601685, -1.482733964920044, -1.9675493240356445, -1.8452943563461304, -0.8104991912841797, 0.054530005902051926, 0.45159944891929626, -0.17500953376293182, -0.9490365982055664, -0.7538623809814453, -0.5817899107933044, 0.6667594909667969, -0.8500758409500122, 0.6045727133750916, 0.6204961538314819, 0.5215270519256592, -0.21270516514778137, -0.14505086839199066, 1.1712530851364136, 0.571584165096283, -0.10943853110074997, 0.7859775424003601, 1.3433033227920532, 0.046970661729574203, -0.7204684019088745, -7.170224666595459, 0.08580362051725388, -0.25438860058784485, 0.4502885639667511, 0.45295900106430054, 0.40248775482177734, -0.1624802201986313, -1.214340090751648, 0.7388505339622498, -0.002713016699999571, 0.5442973375320435, 0.4547024667263031, -0.3917432427406311, 0.21551242470741272, 0.3182966411113739, -0.1602790653705597, 0.0758153572678566, -0.5219423770904541, -0.4566062390804291, 0.18472306430339813, -0.3943021297454834, 0.739462673664093, -0.2482442557811737, -1.0021809339523315, 1.0102657079696655, -1.1309125423431396, -0.3045101463794708, -1.3276532888412476, 1.0133633613586426, -0.30811062455177307, -0.7919583320617676, 0.2948819100856781, 0.5150520205497742, -1.121559977531433, -1.8354970216751099, 0.5395222902297974, 0.07310160249471664, 0.0228462852537632, -0.46048256754875183, -0.5312340259552002, -0.18282698094844818, -0.5625272989273071, 0.003987826406955719, 0.2807108759880066, -0.6153693795204163, 0.6854643225669861, 0.2720530331134796, 1.3356893062591553, 1.4116824865341187, -0.21244685351848602, -1.2277915477752686, -0.6913027167320251, 0.30931055545806885, 0.4214962422847748, -0.2564314305782318, 0.010643643327057362, -0.6741538047790527, -0.5872477889060974, 0.20218385756015778, -0.8180305361747742, -0.11653473228216171, -0.32861658930778503, -0.2438260018825531, -0.050354860723018646, 0.9452054500579834, 0.5124497413635254, -0.07078686356544495, 0.7633113861083984, 0.0900987833738327, 0.9394152760505676, -0.9105038642883301, -0.3436132073402405, 0.30050936341285706, -0.8314371109008789, -0.31594669818878174, 0.2201056182384491, -0.052857957780361176, 0.5628752112388611, 0.3806326985359192, -1.0387952327728271, 0.32434311509132385, 0.3299659490585327, -0.049726702272892, -0.06111900880932808, -1.3454222679138184, -0.5217902064323425, 0.10248062014579773, -0.02773858793079853, 0.45428982377052307, -0.39855363965034485, -0.23295488953590393, 1.0169376134872437, -0.40271735191345215, -0.9376935958862305, 0.2431381791830063, -0.9625433087348938, 0.28372758626937866, -0.4472460448741913, -0.06667167693376541, 0.46073758602142334, -0.2942093312740326, -0.02129199169576168, 1.1636747121810913, 0.2331867516040802, 0.27715080976486206, 0.2769860029220581, -0.3550373613834381, 0.6709190011024475, -0.3328273892402649, -0.13507549464702606, -0.3942974805831909, 0.3974474370479584, -0.2542419135570526, -0.19254876673221588, 1.225830078125, -0.27960601449012756, 0.10647779703140259, -0.12198331207036972, -0.3232003450393677, -0.5768225789070129, 0.41259029507637024, -0.5121595859527588, -0.34836915135383606, -0.7483874559402466, 0.12655267119407654, 0.5371303558349609, -0.17046716809272766, -0.6537343859672546, 0.2818009555339813, -0.23709805309772491, 0.7259378433227539, 0.2684033513069153, -1.280562162399292, 0.486415833234787, -0.6455154418945312, -0.17520038783550262, 0.7698431611061096, 0.30476316809654236, -1.0039806365966797, -0.8042998909950256, -0.3143523931503296, -0.21472357213497162, -0.07012992352247238, 0.4129963219165802, -0.2526370882987976, 0.15847475826740265, -0.6885780096054077, -0.4621012508869171, 0.3660535216331482, -0.10614010691642761, 0.5854524970054626, 0.34241580963134766, 0.7050132155418396, 0.5466409921646118, -0.7511252760887146, -0.879469096660614, 0.23559904098510742, -0.2126021683216095, -0.3357531428337097, -0.25807279348373413, 0.26810222864151, -0.18507690727710724, -0.15676812827587128, 1.3989320993423462, 0.8901638388633728, -0.4466184973716736, -0.06035850569605827, 0.6051255464553833, -0.09252136200666428, 0.7864829897880554, 0.5547568202018738, -0.22050741314888, 0.5524652600288391, 0.20988401770591736, -0.5570446252822876, 0.20207038521766663, -0.7072108387947083, -1.543487787246704, 0.35054731369018555, -0.8266829252243042, 1.4193552732467651, -0.04327719286084175, 0.8066456317901611, -0.3030986785888672, -0.24792733788490295, -0.07004295289516449, -1.4113595485687256, 1.190133810043335, 0.1478624939918518, 0.6729740500450134, -0.7339423298835754, -0.06684864312410355, -1.8215466737747192, -1.1946086883544922, -1.760236382484436, 1.0925421714782715, -0.6533747911453247, -0.8591175079345703, 1.3406842947006226, -0.024054167792201042, -0.19733789563179016, 0.9475932121276855, 0.3818173110485077, 0.061312370002269745, 0.0029578153043985367, -0.0642634779214859, -0.9525114297866821, -0.1816183626651764, 0.6739656329154968, -1.2235490083694458, 0.03744957968592644, -0.7072641253471375 ]
1,033
0704.1035
Hamid Reza Sepangi
M. Heydari-Fard and H. R. Sepangi
Anisotropic brane gravity with a confining potential
14 pages, 3 figures, to appear in PLB
Phys.Lett.B649:1-11,2007
10.1016/j.physletb.2007.04.008
null
gr-qc hep-th
null
We consider an anisotropic brane world with Bianchi type I and V geometries where the mechanism of confining the matter on the brane is through the use of a confining potential. The resulting equations on the anisotropic brane are modified by an extra term that may be interpreted as the x-matter, providing a possible phenomenological explanation for the accelerated expansion of the universe. We obtain the general solution of the field equations in an exact parametric form for both Bianchi type I and V space-times. In the special case of a Bianchi type I the solutions of the field equations are obtained in an exact analytic form. Finally, we study the behavior of the observationally important parameters.
[ { "created": "Sun, 8 Apr 2007 17:01:50 GMT", "version": "v1" } ]
2008-11-26
[ [ "Heydari-Fard", "M.", "" ], [ "Sepangi", "H. R.", "" ] ]
07
[ 0.307131826877594, 0.9991046786308289, -0.8531255125999451, 0.09276682138442993, 0.3398962914943695, -0.8632798790931702, -0.12968884408473969, 1.1797302961349487, -0.6885889768600464, 0.7715299725532532, 0.8611164689064026, -0.38479140400886536, -0.536079466342926, -0.08931142836809158, -1.5594710111618042, -0.6613914966583252, -0.9565470218658447, -1.0615864992141724, 0.006903575733304024, 0.493335098028183, -0.2916221618652344, -0.5932713150978088, -0.2486741840839386, 0.07348693162202835, 0.49874141812324524, -0.044260431081056595, 0.6424180865287781, 0.9396622776985168, -0.8333739638328552, 1.1356639862060547, -0.6151043176651001, 0.36473408341407776, 0.5448687672615051, 0.13624894618988037, -0.2978590130805969, 0.7552003264427185, 0.6185388565063477, -1.1672648191452026, -0.8021732568740845, 0.054245103150606155, -0.16158950328826904, 1.3752849102020264, -0.3826161324977875, 1.116145133972168, 0.23498766124248505, -1.2217422723770142, -0.13061748445034027, 0.08194512128829956, 0.29024001955986023, -0.8677045106887817, 1.6508272886276245, 1.4044095277786255, 1.0805259943008423, 0.7621534466743469, 1.0158125162124634, 0.157888263463974, 0.08906719833612442, -0.26078325510025024, 0.6580744385719299, -0.6670700311660767, -0.03346424549818039, 0.3465273678302765, 0.5932223796844482, 1.0532647371292114, -0.02680174820125103, -0.40310588479042053, -0.28353825211524963, 0.17185792326927185, 0.7024154663085938, 1.0370539426803589, -0.022822512313723564, -0.46521028876304626, 1.163151741027832, -0.6494540572166443, -0.5255440473556519, -0.3887879550457001, -0.9880205988883972, -0.509131908416748, 0.9866704940795898, -0.39426228404045105, -0.04869081452488899, 0.3397873640060425, 0.013450825586915016, -0.1314387023448944, 0.39323294162750244, 0.1945747286081314, -0.40791985392570496, 0.47777268290519714, -0.8741985559463501, 0.25791609287261963, 0.4495024085044861, -0.6310416460037231, 0.5624895095825195, 0.4349859952926636, 1.3596326112747192, -1.06110417842865, -1.2728031873703003, -0.01283307559788227, 0.9634342789649963, 0.021496059373021126, 0.12453216314315796, 0.06394875794649124, -0.6570538282394409, 0.09622982889413834, -1.1449791193008423, -0.07563833147287369, -0.08768229931592941, -0.37766653299331665, 0.4107893407344818, 0.9395699501037598, 0.08454561233520508, -0.30183660984039307, -1.313660979270935, 0.6837230324745178, -2.164086103439331, 0.4124726355075836, 0.4506286382675171, 0.10549884289503098, -0.33358898758888245, -0.3104041516780853, -0.025496330112218857, -0.5744627118110657, 0.6708696484565735, -0.7772935032844543, 0.32476919889450073, 0.35211381316185, -0.674338161945343, -1.0140177011489868, -0.016004392877221107, 1.5261626243591309, 0.5475594997406006, -0.8545162081718445, 0.7510924339294434, 0.2715635597705841, 0.7903957366943359, 0.2202451229095459, 0.14149773120880127, -0.9577072262763977, -0.15312854945659637, -0.15820692479610443, -0.7505526542663574, 0.0004967728164047003, 0.3998959958553314, 0.9152296781539917, 0.06147818639874458, -0.8368338942527771, -0.4794284701347351, -1.185882329940796, 0.5395015478134155, 0.4042666554450989, -0.9136036038398743, -0.8618133664131165, -0.3456273674964905, 0.2510317265987396, 0.2915503978729248, -0.0384693369269371, -0.044391930103302, 0.5424333214759827, 1.604339599609375, -0.1450924128293991, 0.06162876635789871, -0.3756319284439087, 0.47776758670806885, -0.5270906090736389, -0.45515474677085876, 0.14731471240520477, -0.0013309931382536888, 0.6815688014030457, 0.01138724759221077, -0.1068921908736229, 0.2752191126346588, -1.0530033111572266, -0.9457313418388367, -1.044192910194397, 0.7241573333740234, -0.4732120931148529, 0.6079577803611755, -0.609709620475769, -0.2286495566368103, -0.19898629188537598, -0.15797168016433716, -0.039697419852018356, -0.1609083116054535, 1.1272261142730713, 0.3987051248550415, 0.39191707968711853, 0.48864126205444336, -1.5231354236602783, -0.3291777968406677, 0.3743041157722473, -0.9243748188018799, -0.5760599374771118, -1.1000123023986816, -0.007474666927009821, 1.098329782485962, 0.35529154539108276, -0.06480924040079117, -0.3787379562854767, -0.4946608245372772, 0.04293170943856239, -0.22864601016044617, 0.6422889828681946, 0.0756511241197586, 0.7230345010757446, -1.6762592792510986, 0.829581081867218, -0.5850924849510193, -0.7241899967193604, -0.7940903306007385, -0.024462083354592323, -0.7791048884391785, 0.11868719011545181, 0.6096997857093811, -0.2951427698135376, 1.3189257383346558, -0.0016433437122032046, 0.3377801179885864, -1.4138277769088745, -0.8878832459449768, 1.5792306661605835, -0.08467604219913483, 0.4135587811470032, 0.1874636560678482, 0.7200846076011658, -0.6851789951324463, 0.8653731942176819, 0.1589788943529129, -0.8975175023078918, -0.7451239228248596, -0.8273637890815735, -0.12311621010303497, 0.11251726001501083, -0.027073049917817116, -1.281196117401123, -0.5043508410453796, 1.0407123565673828, 1.1894097328186035, 0.24109992384910583, -0.37987837195396423, -0.06414500623941422, 1.0112134218215942, 0.026431597769260406, -0.765077531337738, 0.0742705836892128, -0.7291063070297241, 0.44400617480278015, -0.9333065748214722, -0.41930076479911804, 1.5612295866012573, -0.18447068333625793, 0.07447667419910431, -0.019004683941602707, 0.4162544012069702, -0.7742498517036438, -0.5995571613311768, -0.11813391745090485, 0.008227855898439884, -0.09141518920660019, -1.5899721384048462, 0.36794203519821167, 0.4760657250881195, -0.4816441833972931, -0.241504967212677, 0.5293526649475098, -0.4683580994606018, -0.09546222537755966, 0.36122462153434753, -0.6415232419967651, -0.6241525411605835, 0.649793267250061, -1.8260332345962524, 0.3129216432571411, 0.2587340474128723, -1.1319514513015747, -0.42077168822288513, -0.40340858697891235, -0.41914474964141846, -0.3199184834957123, -0.4496246576309204, -0.29101574420928955, 0.650904655456543, 1.7610936164855957, -0.27331727743148804, -0.402448832988739, 1.321479082107544, -0.9224075675010681, -0.6524698734283447, 0.202986478805542, 0.581180214881897, -1.526740550994873, -0.2573271691799164, 0.6025566458702087, 0.2909517288208008, -0.5029451251029968, 0.6550908088684082, -0.7863231301307678, 0.46015244722366333, -0.13385966420173645, 1.2638771533966064, 0.1104925274848938, -1.3187192678451538, 0.22478291392326355, -0.6285244822502136, 0.30681392550468445, 0.4863280951976776, 0.06295863538980484, 0.5858110189437866, 0.4655454456806183, -1.74270498752594, -0.054228439927101135, 0.1747034639120102, -1.3316659927368164, 0.114780955016613, 0.42243680357933044, -0.22326816618442535, -2.313046455383301, -0.6517414450645447, 0.3868543803691864, -0.3572191298007965, -0.026553450152277946, 0.10527295619249344, 0.223890483379364, 0.7076300382614136, 0.6203987002372742, -0.7767746448516846, -0.20025482773780823, -0.3719981014728546, -0.31617504358291626, 1.0578285455703735, -0.11870462447404861, 0.8037223219871521, -0.5755417346954346, -0.03762340918183327, 1.4447267055511475, -0.6026586294174194, -0.903821587562561, -0.4944617748260498, -0.5637472867965698, 0.4711165428161621, -0.146952822804451, -0.11600352078676224, -0.114190474152565, 0.1058797538280487, 0.4372110366821289, 0.1790265589952469, 0.23876985907554626, 0.9082275032997131, -0.08847463130950928, -0.8933295607566833, -0.9592463374137878, -1.396024465560913, -0.3138670325279236, -0.022941680625081062, -0.4143088161945343, 0.4793698787689209, -0.5454798936843872, 0.33221328258514404, 0.017263036221265793, -0.5978014469146729, 0.9140764474868774, -0.231275275349617, 0.8827189207077026, 1.4754528999328613, -0.8108929991722107, 0.2767755389213562, 0.6708706021308899, -0.2911972999572754, 0.10948077589273453, -0.23240302503108978, -0.28654658794403076, -0.2429758608341217, -0.21917316317558289, 0.16663746535778046, -0.44819629192352295, -1.2272064685821533, -0.9592586755752563, -0.05759742856025696, -0.3086162507534027, -1.4073971509933472, -0.6310883164405823, -0.346279114484787, 0.9280370473861694, 0.4689300060272217, -0.10698890686035156, -0.1850905418395996, 1.2787386178970337, -0.5724632740020752, 0.5616028904914856, 0.19184841215610504, -0.7020588517189026, -0.16774916648864746, -0.11545588821172714, 0.18638066947460175, 0.37241998314857483, -0.6646342277526855, 1.9948126077651978, -0.8077592849731445, -0.6003075242042542, 0.7001926898956299, 0.9659223556518555, 1.0709328651428223, -0.684581995010376, -0.1127062663435936, -0.6382818818092346, 0.18029122054576874, 0.6773983240127563, 0.4785769283771515, -0.03185426443815231, 0.24739901721477509, -1.4276591539382935, 0.3531424403190613, 0.13909035921096802, -1.3129023313522339, -0.36009833216667175, -1.2161452770233154, -1.15402352809906, -1.1363615989685059, -0.012214320711791515, -0.9244989156723022, -0.3272590637207031, -0.6566827297210693, -0.48753032088279724, 0.42834654450416565, 0.6767074465751648, 0.0034000014420598745, 0.9314137101173401, 1.0106230974197388, -0.18220637738704681, -0.7608418464660645, -1.1233680248260498, -0.5418362617492676, 0.9395332336425781, 0.024065939709544182, 0.15391583740711212, 0.3498898446559906, -1.233311414718628, -0.8663713932037354, -0.05453920736908913, -1.0997949838638306, 0.0016778743593022227, 0.004427552223205566, -0.5976554155349731, -0.41239967942237854, 0.09426705539226532, -0.34772592782974243, 0.03543630987405777, -0.23380331695079803, 0.5789796113967896, 0.8022080063819885, -0.6907942295074463, -0.5039935111999512, -0.8760064840316772, 0.4235394299030304, 0.08033314347267151, -0.12698373198509216, -0.12959732115268707, -0.5085893869400024, 1.4679726362228394, -0.12594227492809296, -0.09675505757331848, -0.3213661015033722, 0.32341253757476807, 1.1501436233520508, -1.0294183492660522, -0.49396613240242004, -0.7144075632095337, -0.3811950385570526, 0.9882180690765381, -0.6804430484771729, 0.6791619062423706, 1.1206387281417847, -0.4619311988353729, 0.057232119143009186, 0.3675294518470764, -0.809350848197937, -0.450862318277359, -0.2428213357925415, -0.8220099806785583, -0.3993400037288666, 1.1439565420150757, 1.3473427295684814, 1.3503830432891846, 0.4466835558414459, -0.42011910676956177, -0.3038618862628937, 0.25676092505455017, -0.05226178094744682, 1.010416865348816, 0.06353411823511124, 0.9982767701148987, -0.9067174792289734, -0.7631659507751465, 0.16899794340133667, 0.8919644355773926, -0.6533100008964539, -0.5747424960136414, 0.5997818112373352, -0.8724770545959473, -0.7421987652778625, 0.21280226111412048, 0.559514582157135, -0.8722864985466003, 0.09234926849603653, -1.2609761953353882, -1.6137595176696777, -0.6206580996513367, 0.3501252830028534, -0.19422946870326996, 0.520346999168396, 0.7703421115875244, -0.9581800699234009, -1.1035102605819702, 1.2212330102920532, 0.6088064908981323, 1.2009735107421875, 0.15773098170757294, -1.4588608741760254, -3.0797066688537598, 0.45043349266052246, -0.19289135932922363, -0.07277452945709229, -1.0866608619689941, 0.529660165309906, -1.552335262298584, 0.8320145010948181, -0.8249467611312866, -0.26191386580467224, 0.7085226774215698, -1.0568959712982178, -0.3535372316837311, -0.03064662590622902, -0.7562497854232788, 1.3026167154312134, -1.908485770225525, -0.926607072353363, 0.2708471119403839, 0.09948553144931793, -0.263746976852417, -0.7161497473716736, 0.1379314810037613, 0.6459241509437561, 0.9055976867675781, -1.293330192565918, 0.618330180644989, 0.29079902172088623, 0.1982882022857666, -0.5400892496109009, -0.381788969039917, -0.7886133193969727, 1.270535945892334, 0.014976495876908302, -0.07777821272611618, -0.08568752557039261, 0.05682669207453728, -0.2998318076133728, -1.2196874618530273, -7.0584259033203125, 0.43422484397888184, -0.25824013352394104, 0.29452386498451233, 0.7507538795471191, -1.7510632276535034, 0.06384795904159546, -0.10067956894636154, 1.3276278972625732, 1.5367450714111328, 1.2617199420928955, 0.9469380974769592, -1.452102780342102, 0.49673426151275635, -0.2480805516242981, 0.33872416615486145, -0.1770782619714737, 0.30375805497169495, -0.361611008644104, 0.3874328136444092, -0.5029261708259583, -0.09193182736635208, -0.3981548249721527, -0.2251279205083847, 0.04680347815155983, 0.5406810641288757, 0.3614817261695862, 1.1053558588027954, -0.059411488473415375, 0.4103447496891022, -0.33385202288627625, 1.4571484327316284, -1.3627302646636963, 1.1024733781814575, -0.13626199960708618, 0.2107182890176773, -0.49965935945510864, -0.5816569924354553, 0.03531559184193611, 0.197383314371109, 0.8913666009902954, 0.5661107897758484, 0.7502168416976929, 1.043825387954712, -0.2419234961271286, 1.783539891242981, -0.4157039523124695, 0.20781750977039337, 0.21714165806770325, -0.35897085070610046, 0.014218681491911411, -0.8256965279579163, -0.7435513734817505, 0.854246199131012, -0.4833669364452362, 0.3239903151988983, 0.6077203154563904, -0.23133839666843414, -0.7863362431526184, 0.020186882466077805, 0.1380930244922638, -1.331739902496338, 0.07205177843570709, 0.11925212293863297, 0.5193372964859009, 0.21468989551067352, 1.0583964586257935, -0.40818455815315247, -0.8867006897926331, 0.6599933505058289, -0.3746640086174011, 0.21739473938941956, -1.5745524168014526, 0.08273354172706604, -1.0105971097946167, 0.40348950028419495, 0.5840447545051575, 1.3941009044647217, 0.1095983237028122, 0.6714538931846619, -1.006848931312561, 0.436349481344223, 0.3868734538555145, 0.4569961130619049, -0.2331411987543106, 0.006855074781924486, -0.46912673115730286, 0.4246857762336731, 0.24510052800178528, -0.5859450697898865, -0.14987604320049286, -0.4906761944293976, 0.44548118114471436, -1.5120630264282227, 0.770133912563324, -1.288547158241272, -0.4210469424724579, 0.9151709675788879, -1.0962929725646973, 0.2568955719470978, 0.06734942644834518, 0.06031225249171257, 0.345693439245224, 0.9406161904335022, 0.7408199906349182, -0.5281462669372559, -1.180122971534729, -1.189838171005249, 1.0305662155151367, -0.6925324201583862, 0.10016848146915436, 0.21166837215423584, 2.3828837871551514, 0.21481791138648987, -0.21643750369548798, -0.2287941724061966, -0.8501234650611877, 0.9702808856964111, 0.7966210246086121, -0.19229595363140106, 1.0715819597244263, -0.7787143588066101, -0.05735957249999046, -1.3718940019607544, -0.5287236571311951, -0.35934871435165405, -0.4904331564903259, -0.6983771920204163, 0.4064766466617584, 1.3254245519638062, -1.2105426788330078, 0.13119453191757202, -0.3441934287548065, -1.0880916118621826, -0.3028455376625061, 0.14011150598526, 1.45130455493927, 0.39484903216362, 0.6772898435592651, 0.05679287388920784, -0.3254129886627197, -0.059107039123773575, 0.834175169467926, -0.38778990507125854, 0.8966004848480225, -0.9764406085014343, -0.3147485554218292, 0.15281163156032562, -0.43521174788475037, -0.7949697375297546, 0.44741949439048767, 0.8138553500175476, 1.3319655656814575, 1.3115216493606567, -1.0444011688232422, -0.9311482310295105, -0.179751455783844, -0.2276705503463745, 0.22768338024616241, 0.17686022818088531, -1.6687723398208618, -0.12666334211826324, 0.5917802453041077, 0.8483468890190125, -0.7838520407676697, -0.5632433295249939, 0.37571021914482117, -0.5502274632453918, -0.2306702882051468, 0.23245619237422943, -0.36340096592903137, -0.3145107626914978, -0.8637330532073975, -0.46017584204673767, 0.6095963716506958, 0.11104541271924973, -0.44683390855789185, -0.10375276952981949, -0.9699639081954956, -1.113426685333252, -0.09853275120258331, 0.9184285998344421, -0.3992989957332611, -1.8505198955535889, -1.0039225816726685, -0.26889804005622864, 0.44980674982070923, 0.08115719258785248, 0.4585275650024414, 0.11700152605772018, -0.3918665647506714, -0.08102016896009445, -2.205116033554077, 0.21554455161094666, 1.413745641708374, 1.263181209564209, -1.0549262762069702, 0.6706584095954895, 0.59574955701828, 0.12240827083587646, 0.5109815001487732, 1.2386670112609863, 0.059552814811468124, 0.11851932108402252, 0.3180277645587921, 1.54307222366333, 0.4078448712825775, 0.8746968507766724, 0.2993755638599396, -0.8555043339729309, -0.0356561616063118, -0.6505923867225647 ]
1,034
0704.1036
Alvaro Pelayo
Alvaro Pelayo and Benjamin Schmidt
Maximal ball packings of symplectic-toric manifolds
19 pages, submitted. Main result strengthened and minor mistake corrected in its statement. Overall presentation improved
null
null
null
math.SG math.CO
null
Let M be a symplectic-toric manifold of dimension at least four. This paper investigates the so called symplectic ball packing problem in the toral equivariant setting. We show that the set of toric symplectic ball packings of M admits the structure of a convex polytope. Previous work of the first author shows that up to equivalence, only CP^1 x CP^1 and CP^2 admit density one packings when n=2 and only CP^n admits density one packings when n>2. In contrast, we show that for a fixed n>=2 and each r in (0, 1), there are uncountably many inequivalent 2n-dimensional symplectic-toric manifolds with a maximal toric packing of density r. This result follows from a general analysis of how the densities of maximal packings change while varying a given symplectic-toric manifold through a family of symplectic-toric manifolds that are equivariantly diffeomorphic but not equivariantly symplectomorphic.
[ { "created": "Sun, 8 Apr 2007 17:02:26 GMT", "version": "v1" }, { "created": "Thu, 26 Apr 2007 16:21:28 GMT", "version": "v2" } ]
2007-05-23
[ [ "Pelayo", "Alvaro", "" ], [ "Schmidt", "Benjamin", "" ] ]
07
[ 0.34570255875587463, 0.15649686753749847, 1.1759817600250244, 0.8606753945350647, 0.5876240730285645, -0.7039781808853149, 2.189185619354248, 0.4514291286468506, -1.7927322387695312, 0.16927587985992432, 1.2951325178146362, 1.027950406074524, 0.043440982699394226, -0.3835790753364563, -0.799807608127594, -0.6746554970741272, -0.458432137966156, 0.70209801197052, -0.8433017730712891, -0.10593171417713165, 0.20562134683132172, -0.09403576701879501, -0.3345745801925659, -1.1051980257034302, -0.14956916868686676, -0.5042107105255127, 0.9987225532531738, -1.7490586042404175, 0.08527018129825592, 0.34879976511001587, -0.11452629417181015, 0.5323485732078552, -1.7573193311691284, -0.01794559508562088, -0.30132269859313965, 0.18301880359649658, 0.012734872289001942, 0.4977012276649475, -0.5524944067001343, 0.25384336709976196, 0.44263264536857605, 0.2653721570968628, -0.13537120819091797, -0.37961727380752563, 0.3402675986289978, -0.9488009214401245, 0.4864403307437897, -0.4428514540195465, -0.8505215644836426, 0.9097023010253906, -0.4386124312877655, -0.3713228702545166, 0.4879092276096344, -0.6706528067588806, 0.6680620908737183, -0.25564467906951904, -0.9020154476165771, -0.8479101657867432, 0.14396925270557404, -0.9122371077537537, 0.06963218003511429, 0.46017634868621826, 0.5004855394363403, 1.1598228216171265, 0.17507949471473694, 0.05556241422891617, 0.3578280210494995, 0.6053097248077393, -0.42865872383117676, 0.504235565662384, 0.9283145666122437, -0.5454148650169373, -1.4352025985717773, -0.9498682618141174, 0.46193811297416687, -0.34855496883392334, 1.70305597782135, -0.8276047110557556, 0.6214112043380737, 0.03429346904158592, 0.48667189478874207, -1.4966775178909302, -0.5417144298553467, 0.11510805785655975, 1.4045206308364868, -0.9335665702819824, -0.0772068053483963, 0.5741738080978394, -0.5839313864707947, 0.888023316860199, 1.4374037981033325, -0.0444478802382946, -0.44136860966682434, 0.2905278503894806, -1.486497402191162, -0.8632024526596069, 0.21618200838565826, 0.3707026243209839, 0.2916855216026306, -0.9185275435447693, -0.06371904164552689, -0.6327387690544128, 0.1750398576259613, 1.2185273170471191, 0.27250078320503235, -0.13776633143424988, 1.7710813283920288, -0.2573328912258148, -0.5660681128501892, 0.8727445602416992, 0.10656315833330154, -1.2571548223495483, -1.0248836278915405, -0.7084782719612122, -0.6077326536178589, 0.42071205377578735, -0.615651547908783, 0.14414751529693604, -0.8547110557556152, -1.5533901453018188, 0.11399094015359879, 0.7977429628372192, 0.730921745300293, 0.09256560355424881, -0.4835629165172577, -1.0236053466796875, 1.0601749420166016, -0.20555494725704193, 0.3440045714378357, -0.4217703938484192, 0.8034550547599792, 1.0067424774169922, 0.073128841817379, -0.14604425430297852, 0.2734290063381195, -0.10111065953969955, -0.8008477091789246, -0.05745390057563782, 0.14636218547821045, -0.9672992825508118, 0.6888481378555298, 0.29630720615386963, -0.4736732244491577, 0.38583430647850037, -0.32142186164855957, 1.285030484199524, 0.48590609431266785, 1.3728145360946655, 0.32030293345451355, 1.3092182874679565, 0.40424641966819763, -0.694837212562561, 0.5489190816879272, -1.5958880186080933, -0.04676840826869011, -0.595912754535675, 0.7746508121490479, 0.1378336399793625, 0.6794267892837524, -0.25523021817207336, -0.44168004393577576, 0.03451324254274368, 0.6735113859176636, 0.23516978323459625, 0.29146072268486023, 1.333756685256958, 0.5210074782371521, -1.4211342334747314, 0.8614768385887146, -0.05069279670715332, -1.9318705797195435, 1.2582067251205444, -0.3559974730014801, 0.3980741500854492, 0.6110467910766602, 0.18428191542625427, 0.5156272649765015, -0.03931201994419098, -0.8135603070259094, 0.17544302344322205, -0.6361693143844604, -0.7589982748031616, -0.7918106317520142, 1.477105736732483, -0.08463526517152786, -0.6137572526931763, 1.0116277933120728, -0.4855300784111023, 0.051382508128881454, -0.12149690091609955, -0.17278224229812622, -1.0851885080337524, -2.1247212886810303, -0.2647269666194916, 1.1167854070663452, -1.688666820526123, 0.5945318937301636, 0.6675187945365906, 0.09371420741081238, -0.7776514887809753, 1.086482048034668, -0.8567479848861694, -2.0229878425598145, 0.45404860377311707, -0.7585790753364563, 0.48772481083869934, 0.8282719850540161, -0.07449614256620407, 1.1653521060943604, -2.3783581256866455, 0.2984895706176758, -0.06124216690659523, -0.051536619663238525, -0.06388668715953827, 1.896249532699585, -0.6499052047729492, -0.2836898863315582, -0.46507397294044495, -0.10264123231172562, 0.8746664524078369, -0.19881483912467957, 0.4417997896671295, 0.973107635974884, -0.6490979194641113, -0.10629019141197205, -0.19312620162963867, 0.5243911147117615, -0.016777830198407173, 0.39568910002708435, 0.18323785066604614, -0.16629767417907715, -1.8027106523513794, -0.41428714990615845, -0.14073005318641663, -0.6776124835014343, 0.14412212371826172, -0.23830005526542664, -0.6465312838554382, 0.963638424873352, 1.3951072692871094, 0.4212912321090698, 0.1806832104921341, -0.2976303994655609, -0.11067326366901398, -0.271439790725708, 0.06254395097494125, -0.21977542340755463, 0.2984171211719513, 0.6149266362190247, 0.27006232738494873, 1.0553501844406128, -0.9735336899757385, -0.19131280481815338, -1.3302671909332275, -1.9590705633163452, -0.8461870551109314, -0.025468086823821068, -1.4995460510253906, -2.468991756439209, 0.4844450056552887, -1.1153053045272827, -0.009049695916473866, 0.15784969925880432, 0.7088474631309509, 0.23436816036701202, -1.7430484294891357, -0.3441363275051117, 0.4068196713924408, 0.3546915650367737, 0.7196142673492432, 0.882915198802948, 1.2096970081329346, 0.7976375818252563, -0.13364863395690918, -0.02123734913766384, 0.6864233016967773, -0.7211735844612122, -0.9373733997344971, -0.8309761881828308, -0.915503740310669, 0.4446609616279602, 1.8496873378753662, -0.00932113453745842, 0.8787673711776733, -0.004625978879630566, 0.29283273220062256, 0.44998952746391296, 0.6890767812728882, 1.2765573263168335, -0.0625499039888382, -1.321021556854248, -0.5845820307731628, 0.7740063667297363, 0.2795563042163849, -0.40922051668167114, -0.03582049533724785, -0.9368121027946472, -0.23251311480998993, -0.9552798271179199, -0.3215574622154236, 0.29981741309165955, -0.8849704265594482, -0.6876517534255981, -0.9095509648323059, 0.6526740193367004, -0.16340996325016022, -1.3042759895324707, 1.707540512084961, 0.7409703731536865, 0.10139252245426178, 0.6718674302101135, -0.38097667694091797, 0.27443328499794006, -0.8556191325187683, 0.32069844007492065, 1.1534374952316284, -0.4946823716163635, -0.5416037440299988, 0.36838656663894653, -1.0295987129211426, -0.07930644601583481, 0.16618268191814423, 1.6216151714324951, -0.88121098279953, 0.8835611343383789, -0.11651473492383957, -0.06104522570967674, -0.07476940006017685, -0.5798956751823425, -0.359737366437912, 0.5199583172798157, -0.21872173249721527, 0.10967575013637543, -0.24743914604187012, -0.6271790862083435, -1.1266460418701172, 0.38161423802375793, -0.021450843662023544, -0.14593571424484253, -0.07682622224092484, -0.8765677809715271, 0.6024776101112366, -0.8535822629928589, 0.08915657550096512, -0.27481216192245483, 0.5533597469329834, -0.24262401461601257, 0.2856300473213196, -0.8132403492927551, 1.51399827003479, 0.5126026272773743, -0.7292295098304749, 0.46317851543426514, -0.1035974845290184, 0.43747836351394653, -0.0071433670818805695, 0.443869948387146, 0.4891933500766754, 0.9844376444816589, 0.15855994820594788, 1.1973965167999268, 0.7652181386947632, 0.3341030180454254, -1.1309765577316284, 1.0356868505477905, -0.024739308282732964, 0.8393240571022034, -0.9363610744476318, 0.8181353211402893, 0.7683728337287903, -1.5092198848724365, 0.10312079638242722, -0.8709641098976135, -0.29683917760849, -1.1851569414138794, 0.09544229507446289, -1.1914262771606445, 0.11090689152479172, 0.012977330014109612, 0.6063100695610046, -0.7109034061431885, 1.306329369544983, 0.44444775581359863, 0.6684079170227051, -0.4652417302131653, -0.7147766947746277, -0.14813117682933807, -0.47689172625541687, -0.32298967242240906, -0.6094575524330139, 0.21182098984718323, 0.4322163462638855, -0.25511080026626587, 0.7642699480056763, -0.6743264198303223, 0.4857257604598999, -0.8786303997039795, -1.4420907497406006, 0.9006175994873047, 2.2816264629364014, -0.630707859992981, -0.18076901137828827, -0.19462893903255463, 0.7147767543792725, -0.9488941431045532, 0.27233171463012695, -0.88530033826828, 1.0215559005737305, 0.5882630944252014, 0.19456326961517334, 1.3344333171844482, -0.4876194894313812, -1.3694955110549927, -0.573640763759613, 0.8149996995925903, 0.08568378537893295, -1.2354472875595093, -0.23242616653442383, 0.718199610710144, -0.5158277750015259, 0.009337175637483597, -0.17294806241989136, 0.7714122533798218, 0.7814059853553772, -0.7022410035133362, 0.361069917678833, 0.43919292092323303, 0.9981904029846191, -1.6555787324905396, -1.1181621551513672, 0.17911267280578613, -0.09891805052757263, -0.010223515331745148, 0.607689619064331, 0.16576577723026276, -0.19320541620254517, 0.0900685116648674, 0.8194994926452637, -0.09487137198448181, -1.111433506011963, -0.27912208437919617, 0.5194636583328247, -0.37723100185394287, -0.18885983526706696, -0.1291315257549286, -0.2638190984725952, -0.3204309344291687, 1.2345980405807495, 0.03668059781193733, -0.3265684247016907, 0.31807729601860046, 0.5615229606628418, 0.9260174632072449, -1.005329966545105, -0.15676456689834595, -0.6741647720336914, 0.7017292380332947, 0.31712040305137634, 2.1974740028381348, -0.7548084855079651, -1.4013315439224243, -0.26170817017555237, 1.5700980424880981, -2.007969617843628, -0.9664674997329712, 0.43703368306159973, 0.3645937144756317, 0.8921350836753845, 0.8352506160736084, 1.2624493837356567, 1.178350806236267, -1.7424982786178589, -0.40043723583221436, 0.3255348801612854, -1.0264756679534912, -0.023073652759194374, 0.2746242880821228, 0.44278600811958313, 0.5307300090789795, 0.8451473712921143, 1.3115826845169067, 0.11002422869205475, -0.7557319402694702, -0.5794873237609863, 0.6893086433410645, 0.8006216883659363, 0.06832936406135559, 0.5747842788696289, -0.8071463108062744, -0.6702141761779785, -0.3505486249923706, -1.2890362739562988, -0.4245879650115967, -0.9003859758377075, -0.31483712792396545, -0.07880545407533646, -0.547396183013916, -0.6791529059410095, -0.27351903915405273, 0.24777720868587494, -0.5937157273292542, -0.859828531742096, 0.7114514708518982, -1.2372851371765137, -0.15864863991737366, -0.8938395977020264, -0.12901312112808228, 0.899402379989624, -0.5765929222106934, 1.132076621055603, -0.8725629448890686, -0.5141147971153259, 0.5834115147590637, -0.4401032328605652, 0.22624102234840393, 0.3877386450767517, -0.85984867811203, -2.5380563735961914, -0.480692595243454, 1.0945731401443481, -0.7714447975158691, -0.23939065635204315, -0.4643752872943878, 0.21429790556430817, -0.5661115050315857, -0.3876303732395172, -0.5160014033317566, -1.130722999572754, -1.2176555395126343, -0.1250574141740799, 0.4134272634983063, 0.5394925475120544, -1.664832353591919, -1.5893224477767944, -1.6430290937423706, -0.9749284386634827, -0.08933272957801819, 0.4150778353214264, -0.1308259218931198, -0.7393174767494202, -0.49026280641555786, -0.9438671469688416, 0.07760600745677948, -0.6963537335395813, 0.4743368923664093, 0.3695690333843231, -0.28113991022109985, 0.06492450833320618, -0.990881085395813, 0.892478883266449, 0.24892766773700714, -0.1011190414428711, 1.0292437076568604, 1.428406834602356, -0.651669979095459, -0.3971102833747864, -5.833854675292969, -0.09294534474611282, -0.48943495750427246, 0.4372597336769104, 0.39729177951812744, -0.010643081739544868, -0.010369034484028816, -0.3747902512550354, 0.6245945692062378, -0.12478233873844147, -0.015499114990234375, 0.20967578887939453, -0.6054122447967529, 0.6747385263442993, 0.6775640249252319, -0.5368728637695312, 0.9347325563430786, -0.4569459855556488, -0.33560672402381897, 0.20416037738323212, -0.20622070133686066, 0.6189583539962769, -0.19119977951049805, -0.7128801345825195, 1.263027310371399, -0.9952938556671143, -0.5548534989356995, -1.5118582248687744, 1.0471851825714111, -0.2782531678676605, -0.7867710590362549, 0.4144825041294098, 0.20259125530719757, -1.5401496887207031, -1.256216049194336, -0.04779442399740219, -0.3360068202018738, 0.3074055314064026, -0.9955911636352539, -0.8913476467132568, 0.2668808400630951, -0.7801346778869629, -0.27377423644065857, -0.03543756157159805, -0.20417481660842896, 0.7844520211219788, 0.33856427669525146, 1.6582111120224, 1.430488109588623, -1.0008420944213867, -0.5467067956924438, -1.0060774087905884, 0.6169936656951904, 0.7135668992996216, -0.4876355230808258, 0.013402911834418774, -1.6239584684371948, -0.35006117820739746, 0.991827666759491, -0.8791598081588745, -0.5581636428833008, 0.021900087594985962, -0.520193338394165, -0.2696143388748169, 0.8692274689674377, 0.6312801241874695, -0.05272607132792473, 1.0724741220474243, 0.25991421937942505, 0.9038997888565063, -1.3454035520553589, -0.059747371822595596, -0.24293579161167145, -0.6328527927398682, 0.45254218578338623, -0.17839917540550232, -0.6820176839828491, 0.8205331563949585, 0.7643141150474548, -1.5987582206726074, -0.020391831174492836, -0.023153230547904968, -0.004479025490581989, -0.1590447723865509, -1.2674845457077026, -0.5146556496620178, 0.10990134626626968, 0.09273353964090347, -0.14627008140087128, 0.3076980710029602, -0.36623671650886536, 0.41108593344688416, -0.2900812029838562, -0.6777799725532532, 0.48749446868896484, -0.8139603137969971, 0.41812416911125183, 0.1786918044090271, 0.14073845744132996, 0.44248923659324646, 0.06503152847290039, -0.24478022754192352, 1.6328357458114624, 0.28975751996040344, 0.23137597739696503, 0.38148942589759827, -0.2498777210712433, 1.6154309511184692, 0.1020779088139534, -0.5327934622764587, -0.43254491686820984, -0.3623390793800354, -0.6912068724632263, 0.20603716373443604, 0.8996616005897522, 0.041745468974113464, 0.3508749008178711, 0.09299839287996292, -0.9008228182792664, -0.5094074606895447, 0.12323391437530518, -0.4634246528148651, -0.5220898389816284, -0.621008574962616, 0.04115917906165123, 0.3904825747013092, -1.040774941444397, -0.38607057929039, 0.27973589301109314, -0.47910594940185547, 0.14359894394874573, 0.9124668836593628, -1.1687926054000854, 0.059449635446071625, -0.6756976246833801, -0.25927531719207764, 0.3235799968242645, -0.22306080162525177, -1.0924173593521118, -1.1774928569793701, -0.18054687976837158, 0.32097265124320984, -0.02415964938700199, 0.9816444516181946, -0.2735244929790497, 0.0820690393447876, 0.22089262306690216, 0.2409190833568573, -0.049575962126255035, -0.8053422570228577, 0.40505462884902954, 0.4047301709651947, 0.43944236636161804, 0.07827608287334442, -0.7605351805686951, -0.10599251836538315, 0.15743060410022736, -0.06791969388723373, -0.7440811991691589, -0.48649945855140686, 0.5065392255783081, -0.38851362466812134, -0.043583594262599945, 0.7083742618560791, 0.8400251269340515, -0.023543914780020714, -0.16154566407203674, 0.023611394688487053, -0.10322409123182297, 0.99566251039505, 0.6833468079566956, -0.28360694646835327, 0.8054518699645996, 0.7575876116752625, -0.1663217693567276, 0.09765239804983139, -0.6338390707969666, -1.334262728691101, 0.5338440537452698, -0.4313218891620636, 0.7607662677764893, -0.3965160846710205, 0.42681577801704407, 0.4260418117046356, -0.08279332518577576, 0.31583625078201294, -0.7923542857170105, 1.2137748003005981, 0.5370924472808838, 0.641851007938385, -0.999444842338562, 0.15085095167160034, -1.336617350578308, -0.7008882164955139, -1.1525845527648926, 1.2177534103393555, -0.4355698823928833, -0.9505825638771057, 1.4431167840957642, 0.3087984323501587, -0.3118480443954468, 0.8075699806213379, 0.7145931720733643, 0.18162652850151062, 0.13708719611167908, 0.0056193796917796135, -0.6590001583099365, -0.12296251952648163, 1.115395188331604, -1.3572378158569336, 0.4371515214443207, -0.9088848233222961 ]
1,035
0704.1037
Zbigniew Idziaszek
Z. Idziaszek, T. Calarco, P. Zoller
Controlled collisions of a single atom and ion guided by movable trapping potentials
17 pages, 16 figures
Phys. Rev. A 76, 033409 (2007)
10.1103/PhysRevA.76.033409
null
quant-ph
null
We consider a system composed of a trapped atom and a trapped ion. The ion charge induces in the atom an electric dipole moment, which attracts it with an r^{-4} dependence at large distances. In the regime considered here, the characteristic range of the atom-ion interaction is comparable or larger than the characteristic size of the trapping potential, which excludes the application of the contact pseudopotential. The short-range part of the interaction is described in the framework of quantum-defect theory, by introducing some short-range parameters, which can be related to the s-wave scattering length. When the separation between traps is changed we observe trap-induced shape resonances between molecular bound states and vibrational states of the external trapping potential. Our analysis is extended to quasi-one-dimensional geometries, when the scattering exhibit confinement-induced resonances, similar to the ones studied before for short-range interactions. For quasi-one-dimensional systems we investigate the effects of coupling between the center of mass and relative motion, which occurs for different trapping frequencies of atom and ion traps. Finally, we show how the two types of resonances can be employed for quantum state control and spectroscopy of atom-ion molecules.
[ { "created": "Sun, 8 Apr 2007 17:37:34 GMT", "version": "v1" }, { "created": "Fri, 20 Jul 2007 19:26:34 GMT", "version": "v2" } ]
2009-11-13
[ [ "Idziaszek", "Z.", "" ], [ "Calarco", "T.", "" ], [ "Zoller", "P.", "" ] ]
07
[ 0.23864997923374176, 0.26631951332092285, -1.131817102432251, 0.884951651096344, -1.388657808303833, 0.8079634308815002, -0.02197589911520481, 0.6493765115737915, -0.3658396005630493, -1.0532950162887573, 0.4668143391609192, -0.6457287669181824, 0.9175876379013062, 0.368353009223938, -1.9270991086959839, -1.1370447874069214, -0.03674919903278351, -0.6781712770462036, 0.16414308547973633, 0.4637399911880493, 0.26250573992729187, -0.7170979380607605, -0.12097593396902084, 0.12606342136859894, 0.46014341711997986, -0.3183995485305786, 0.016177691519260406, 0.22529561817646027, -1.1162688732147217, 1.2702467441558838, 0.2897256016731262, 0.7806548476219177, -1.4409669637680054, 0.28793275356292725, 0.533615231513977, -0.48924246430397034, 0.029425719752907753, -1.0083166360855103, -0.3525441586971283, 0.07383956015110016, 0.7576163411140442, -0.061734188348054886, -0.17187996208667755, -0.10812010616064072, -0.5106966495513916, 0.9089181423187256, -0.20041944086551666, -0.16576072573661804, -0.7994973063468933, -0.3125365972518921, 0.33169034123420715, 0.5054668188095093, 0.40475431084632874, 0.10988971590995789, -0.024904951453208923, 0.15900887548923492, -0.21100760996341705, 1.364308476448059, 0.031526118516922, -0.33873289823532104, -0.04594101011753082, -0.5025784969329834, -0.9871915578842163, -0.5299847722053528, -0.07161107659339905, -0.10189460963010788, 0.8583530783653259, 1.03702712059021, 0.24085114896297455, 0.36403602361679077, -0.1909530758857727, 0.6314507126808167, -0.6253722906112671, -0.585518479347229, -0.6065515279769897, -0.5430230498313904, -0.5373380780220032, -1.367793083190918, 0.1140139251947403, 0.08544038981199265, 0.6070999503135681, -0.824878454208374, 0.271159291267395, -1.094233751296997, -0.6177524924278259, -0.14380963146686554, -0.763071596622467, -0.3595302104949951, 0.8313367962837219, 0.8076391816139221, 1.1871660947799683, -0.9778696894645691, 0.02997991442680359, -0.17718371748924255, 0.19357700645923615, -0.6288216710090637, -0.582562267780304, -1.159008502960205, 0.7591932415962219, 0.026778580620884895, -0.33878451585769653, 0.4687030613422394, 0.2746446430683136, 0.3774709701538086, 0.11360038071870804, 0.3223050832748413, -0.09395348280668259, -0.2156350314617157, -0.5904681086540222, 0.28221362829208374, 0.8946922421455383, -1.231992244720459, 1.042035460472107, 0.20809055864810944, -0.6614959836006165, 1.2336069345474243, -1.087656855583191, -0.18679125607013702, 0.6417181491851807, 0.2633058726787567, -0.287310391664505, -0.4823550581932068, 0.29592183232307434, 0.1495201736688614, 0.6496923565864563, 0.5712823271751404, 0.14492927491664886, 0.11485149711370468, -0.04820295050740242, -0.7908529043197632, -0.49986180663108826, 0.3524864614009857, 1.0295084714889526, 0.4810405969619751, -0.824937105178833, -0.24513225257396698, -0.737848699092865, 0.013712571002542973, 1.1817469596862793, -0.12939663231372833, -0.8167364597320557, 0.0198433268815279, -0.9551307559013367, -1.162127137184143, -0.2480962574481964, -1.5761213302612305, 0.23577624559402466, 0.24093644320964813, -0.24134166538715363, 0.31195956468582153, 0.4276546239852905, -0.9041983485221863, 0.6561530232429504, -0.5258170366287231, -0.4809839725494385, -0.40533146262168884, 0.3026106059551239, -0.22722868621349335, -0.13941673934459686, 0.716377854347229, 1.3085335493087769, 0.22527256608009338, 0.7533244490623474, -1.5273454189300537, 0.283298522233963, 0.8538286685943604, -0.571168839931488, 1.0980452299118042, 0.20730829238891602, -0.3273807168006897, -0.6896883249282837, -0.20749607682228088, -0.3958890736103058, -0.03534936159849167, -0.5431604385375977, 0.06605591624975204, 1.5328596830368042, -0.4797854721546173, -0.9460631012916565, 1.2832529544830322, 0.8287375569343567, -1.4667713642120361, -0.09305878728628159, 1.7418839931488037, 0.28689852356910706, 0.5861783623695374, 0.932418942451477, 0.35223323106765747, -0.48419687151908875, 0.2680748999118805, 0.433061808347702, 0.03903936222195625, -0.8166210055351257, 0.9608854651451111, -0.8366132974624634, -0.2213703989982605, 0.5785810351371765, -0.5477030873298645, -0.37422025203704834, -0.785564124584198, 0.5175631642341614, 0.041321393102407455, 0.7587647438049316, 1.4648228883743286, 0.45952335000038147, -0.33138003945350647, -0.3578890264034271, 0.7520155906677246, -0.951817512512207, -0.15528899431228638, 0.17957459390163422, -0.7667830586433411, -0.18188545107841492, -0.3500261604785919, 0.46026095747947693, 0.5668969750404358, 0.6009765267372131, -0.5681565403938293, -0.35124990344047546, 0.4028944969177246, -0.4412185847759247, 0.5305737853050232, -0.9721384644508362, -0.5435228943824768, -1.1376181840896606, 0.6767484545707703, 0.4676799178123474, 0.6625288128852844, -1.0582185983657837, 0.7192574143409729, -0.39195820689201355, -0.8778841495513916, 0.23981095850467682, -0.510206937789917, 0.8019936084747314, -1.4414106607437134, -0.5360115170478821, 0.9228168725967407, -0.45273077487945557, -0.6732298135757446, 0.08069285750389099, -0.7314948439598083, 1.2189109325408936, -0.5236060619354248, -0.8609001636505127, 0.9079625606536865, 1.2646037340164185, -0.12206066399812698, 1.031480073928833, 0.6470575928688049, -0.2576426565647125, 0.15517351031303406, 0.4073250889778137, 0.42067649960517883, -0.4977777600288391, 0.25010305643081665, 0.170847088098526, 0.0707031711935997, 0.6500568389892578, 0.6469947695732117, -1.0471290349960327, -0.18633966147899628, 0.7178621292114258, -0.005083307158201933, -0.01481250673532486, -0.01838482730090618, -0.9050121903419495, -0.3159064054489136, 0.4672400951385498, -1.7780413627624512, -0.04804471507668495, -0.4386664628982544, -0.249184250831604, 0.04371246322989464, 0.7708091139793396, 0.6272336840629578, -0.4803242087364197, -0.7556216716766357, -0.3096798360347748, -1.2316675186157227, 0.23620665073394775, 0.645607590675354, -0.6369476318359375, 1.2025878429412842, -0.4593471586704254, -0.776975154876709, -0.19154047966003418, 0.7784227132797241, 2.1497559547424316, 0.023808151483535767, -0.5114778876304626, 0.9566320776939392, -0.06854266673326492, -0.6777289509773254, -0.5630801320075989, -0.8092057108879089, -1.2090981006622314, 1.1850004196166992, -0.4009028375148773, -0.3944343030452728, -0.9797709584236145, -0.15116071701049805, -0.3346976339817047, -0.2205367237329483, 1.1859863996505737, -0.6272097826004028, -0.9568430185317993, 0.49696463346481323, -1.3458625078201294, -0.3537479341030121, -0.4301829934120178, 0.28738531470298767, -0.9194948077201843, -0.5215731859207153, 0.9109275341033936, 0.8024265170097351, -0.6005072593688965, 0.5047283172607422, -0.4216133952140808, -1.1473865509033203, -0.4082225561141968, 1.6884243488311768, 0.09092499315738678, 0.35615065693855286, -0.01872681826353073, -0.0687987208366394, 0.02016082964837551, 0.26861372590065, -0.5552597641944885, -0.005988265387713909, 1.2001086473464966, 0.6110520362854004, -0.983227014541626, -0.18206866085529327, -0.3186158239841461, -1.0323610305786133, -0.1355174481868744, -0.3366897404193878, 0.39539623260498047, -0.10691185295581818, 0.5853748917579651, 0.7198156118392944, 0.6503084301948547, 0.019167421385645866, -0.3211401700973511, 0.2999362051486969, -0.6855155229568481, 0.08106507360935211, 0.08175528049468994, -0.7422265410423279, -1.034433364868164, 0.0773564949631691, 1.0132468938827515, -1.5540788173675537, 0.6607240438461304, 0.23573565483093262, 0.44948092103004456, 1.5234242677688599, 0.42876136302948, 0.702485978603363, 1.1210945844650269, 0.3729389011859894, 0.8852165937423706, -0.560018002986908, -0.21194900572299957, 0.5524056553840637, 0.03775186464190483, -0.1363711804151535, -1.6065452098846436, 1.011724591255188, 0.13341893255710602, 0.8965350389480591, -0.5838404893875122, 0.8219338655471802, 0.7968094944953918, -0.2424117922782898, -1.2938518524169922, -0.3583694100379944, 0.7177522778511047, -0.3158954381942749, -0.2530812919139862, 0.5268463492393494, 0.5425029397010803, 0.9606713652610779, 0.6319819092750549, 2.0521888732910156, 0.1597110629081726, -0.4548160135746002, 0.919003963470459, -0.008104868233203888, -2.238723039627075, 0.17628879845142365, 0.993189811706543, -1.1703225374221802, 0.5212397575378418, 1.0468403100967407, 1.2859541177749634, 0.03150979056954384, -0.3773433268070221, 0.415719598531723, -0.41515472531318665, 1.7464290857315063, -1.1447757482528687, -0.7759302258491516, -0.0548812672495842, 0.6906837224960327, 0.24272936582565308, 0.7142494320869446, -0.33502140641212463, 0.3487177789211273, -0.2838822305202484, 0.06635425239801407, 0.40285250544548035, 0.3902929425239563, 2.2386984825134277, -0.32649481296539307, 1.0002557039260864, 1.2763099670410156, 0.7199241518974304, 0.08331669867038727, 0.016502395272254944, -0.6992411017417908, -0.012040495872497559, 1.9127132892608643, 1.1576213836669922, 0.6010017395019531, 0.29282212257385254, 0.0069252192042768, 0.06779643893241882, -0.9889892935752869, 0.5622090697288513, -0.07103265821933746, 0.5376738905906677, 1.2345328330993652, -0.8545058369636536, -0.7808703184127808, 1.285640001296997, -0.7635319232940674, -0.012040703557431698, 0.530592679977417, -0.03302573412656784, 0.13441751897335052, 0.021893778815865517, -1.0409623384475708, -0.33398592472076416, -0.25135132670402527, -0.6598193049430847, 1.14076566696167, -0.6290777921676636, -0.4715679883956909, -0.5161113739013672, 1.262510895729065, 0.10940274596214294, 0.05134689807891846, -0.40086084604263306, -0.7704926133155823, 0.5696443915367126, 0.5600828528404236, -0.6849284768104553, -0.8781186938285828, -1.6061325073242188, 0.03714462369680405, 1.3384158611297607, -0.9660865068435669, 0.04782162606716156, 0.13354793190956116, 0.499275803565979, -0.9899236559867859, -1.259421944618225, 0.8283110857009888, -0.46297794580459595, -0.9864848852157593, -0.7235972285270691, -1.582565426826477, -0.672863781452179, 0.518258273601532, -1.2966607809066772, -0.4880782663822174, 0.5776152014732361, -0.040615592151880264, 0.12767773866653442, 0.610663890838623, -0.6198965907096863, 0.35740503668785095, 0.5573664307594299, 0.5459773540496826, 0.6233111619949341, 0.46434491872787476, 0.7198291420936584, 2.148036479949951, -0.08786626160144806, -0.4997100830078125, -0.29935911297798157, 0.9782445430755615, -0.11154760420322418, 0.669054388999939, 0.76124507188797, -0.06753145158290863, -0.10198884457349777, -1.3517694473266602, 1.1028716564178467, -0.19907911121845245, 0.4812123775482178, -1.031944751739502, -0.8647383451461792, -0.7404977083206177, 1.0333971977233887, 0.4277970790863037, -0.0889253243803978, 0.5265159606933594, 0.09826259315013885, -1.8313238620758057, -0.0695367380976677, -0.01626366749405861, -0.0640140175819397, -0.6582520008087158, 0.2865217924118042, -3.9929299354553223, -0.04641105234622955, -0.271378755569458, 0.8310267329216003, -0.511620819568634, -0.009843436069786549, 0.16708292067050934, -0.13447971642017365, 0.6244913935661316, -0.7178791165351868, -1.1666711568832397, -0.7767298221588135, -0.13799427449703217, 0.16394127905368805, 0.02491525560617447, -0.9793735146522522, -0.04159742221236229, 0.07220953702926636, -0.22909770905971527, -0.5468339323997498, 0.9657357931137085, -2.72518253326416, -0.6264182925224304, 0.2372319996356964, -0.7675789594650269, -0.03209075704216957, -0.6228330135345459, 0.18609963357448578, -0.5238265991210938, -1.8470895290374756, 0.4174172878265381, -0.013373801484704018, -0.470915824174881, -0.14289961755275726, 0.004101619590073824, -1.2476909160614014, 0.14616066217422485, -0.8432009816169739, 0.3058435320854187, -7.406732559204102, 1.105769395828247, -0.16680863499641418, 0.28973492980003357, -0.27809950709342957, -0.659490168094635, -0.12101799994707108, 0.018307270482182503, 0.8331410884857178, -0.23807859420776367, -0.23183958232402802, 0.4158397316932678, -0.9987775683403015, -0.6204959154129028, -0.5953774452209473, -0.7816229462623596, 0.49472424387931824, -0.4104776382446289, -0.9648923873901367, 0.2398253232240677, -1.0517332553863525, 1.4671903848648071, -1.0531129837036133, -0.27455154061317444, 1.6461780071258545, -0.20535071194171906, -0.25108179450035095, 0.5373642444610596, -0.2558729350566864, 0.28107956051826477, -0.0672948881983757, 1.7296960353851318, 0.5168069005012512, 0.986415684223175, 0.017809636890888214, -0.96941739320755, 1.0731743574142456, 0.30243778228759766, 0.21560101211071014, -0.3241690695285797, 1.104259729385376, -0.2596597671508789, 1.0878099203109741, 0.2369750589132309, -0.08936093747615814, 0.16713698208332062, -0.5660531520843506, -0.8427679538726807, -0.5662020444869995, -0.5264790058135986, -1.263141393661499, 0.6754827499389648, -0.35836347937583923, -0.017719274386763573, -0.7956394553184509, -0.39390304684638977, -1.201870322227478, -0.6575383543968201, 0.16705510020256042, -0.8266911506652832, -0.2120906412601471, -0.3698468804359436, 0.576468825340271, 0.16809454560279846, -1.278952717781067, -0.3843432366847992, -0.24450601637363434, 0.13491015136241913, 0.2722640037536621, 0.18506495654582977, 0.9164415001869202, -2.1797611713409424, -0.7640690207481384, -0.359994113445282, -0.4459226429462433, -0.88820481300354, 0.06905428320169449, -0.4031442403793335, -1.244718313217163, -0.12230361253023148, 0.9137954115867615, 0.9392637610435486, -0.20314455032348633, 0.052286211401224136, 0.14233268797397614, -0.4785958230495453, -0.29431143403053284, 0.3432287573814392, -0.11096395552158356, 0.5732722878456116, -0.3277845084667206, 0.1613309681415558, -0.17876440286636353, 0.331818550825119, 1.0818742513656616, 1.7588719129562378, 0.22991012036800385, -0.8081349730491638, -0.9578284621238708, -0.8296622633934021, -1.8360761404037476, -0.6136908531188965, 0.26537230610847473, 0.5318647027015686, -0.05548631399869919, 0.6372076272964478, 0.12127182632684708, 0.7965744733810425, -0.06595996022224426, -0.41998782753944397, 0.06986113637685776, -1.1309845447540283, -0.1057281568646431, 0.009842208586633205, -0.8890619874000549, 0.2942308783531189, 0.12622320652008057, 0.007054036948829889, 0.27083227038383484, -0.9783647656440735, -0.0074314228259027, -0.975633442401886, -1.2539957761764526, -0.3867090344429016, 1.0247398614883423, -0.006273679435253143, 0.44473543763160706, -1.8502862453460693, -1.291473627090454, -0.6070858836174011, 0.9650935530662537, -0.07972332090139389, -0.3451273441314697, -1.6629005670547485, -1.2954338788986206, -0.11303764581680298, -0.6157283186912537, -0.7588881850242615, -0.025998743250966072, -0.3797265887260437, 0.3398735821247101, -0.07829886674880981, 0.10283263772726059, 0.07712862640619278, 0.33743003010749817, -1.1741434335708618, 0.06637340039014816, 0.1867321878671646, -0.10724817216396332, -0.012894767336547375, 0.42868122458457947, -1.5874830484390259, 0.01436672080308199, 1.135843276977539, 0.5630045533180237, 0.24687442183494568, 0.10752972215414047, 0.9141882658004761, -0.17668011784553528, -0.315664142370224, 0.5349461436271667, 0.48984789848327637, 0.0907549113035202, 0.24669037759304047, 0.4892506003379822, -1.3911758661270142, 0.0710107684135437, -0.11856069415807724, 0.056314658373594284, -0.8981316089630127, -0.4530142843723297, 0.7475320100784302, -0.07723961025476456, -0.09219016879796982, -1.202958583831787, -0.3523378372192383, -0.5485202074050903, 0.007474096026271582, 0.3465982973575592, 0.7675756812095642, 0.6202466487884521, 0.24159690737724304, 0.4729447066783905, -1.050338864326477, 0.033458419144153595, 0.8913175463676453, -0.5489909648895264, 0.6636078357696533, -0.3031231462955475, 0.007170946337282658, -0.2391730546951294, -0.8965110182762146, 0.4704618752002716, -0.7197074294090271, -0.44197025895118713, 1.0438350439071655, -0.159913569688797, 0.3519175350666046, 0.8193162679672241, 0.1291622519493103, -1.2272815704345703, 0.5496808290481567, 0.5217741131782532, -0.06499702483415604, 1.2195936441421509, -0.4548860490322113, 0.8171570301055908, 0.40243786573410034, -0.8448586463928223, 0.42044177651405334, -0.1465371698141098, -0.7986299991607666 ]
1,036
0704.1038
Francis Dolan
F.A. Dolan
Counting BPS operators in N=4 SYM
38 pages, uses harvmac, v.2. references added, typos corrected, discussion of asymptotic counting included for more general chiral ring, v.3. typos corrected, discussion for su(2) simplified, to be published in Nuclear Physics B
Nucl.Phys.B790:432-464,2008
10.1016/j.nuclphysb.2007.07.026
null
hep-th
null
The free field partition function for a generic U(N) gauge theory, where the fundamental fields transform in the adjoint representation, is analysed in terms of symmetric polynomial techniques. It is shown by these means how this is related to the cycle polynomial for the symmetric group and how the large N result may be easily recovered. Higher order corrections for finite N are also discussed in terms of symmetric group characters. For finite N, the partition function involving a single bosonic fundamental field is recovered and explicit counting of multi-trace quarter BPS operators in free \N=4 super Yang Mills discussed, including a general result for large N. The partition function for BPS operators in the chiral ring of \N=4 super Yang Mills is analysed in terms of plane partitions. Asymptotic counting of BPS primary operators with differing R-symmetry charges is discussed in both free \N=4 super Yang Mills and in the chiral ring. Also, general and explicit expressions are derived for SU(2) gauge theory partition functions, when the fundamental fields transform in the adjoint, for free field theory.
[ { "created": "Mon, 9 Apr 2007 09:18:36 GMT", "version": "v1" }, { "created": "Fri, 13 Apr 2007 14:30:09 GMT", "version": "v2" }, { "created": "Fri, 2 Nov 2007 20:05:14 GMT", "version": "v3" } ]
2008-11-26
[ [ "Dolan", "F. A.", "" ] ]
07
[ -0.23637640476226807, -0.08688955754041672, -0.03904566913843155, -0.18991807103157043, 0.19463345408439636, -0.7922481894493103, -0.4386780560016632, 0.4379015564918518, -1.5619657039642334, -0.5221993327140808, -0.3689305782318115, 1.541690468788147, -1.235342025756836, -0.020053891465067863, -0.5769883394241333, 0.5716911554336548, -0.2529224455356598, -1.1515535116195679, -0.3654613494873047, -0.3489029109477997, 0.3594481348991394, -0.8047829866409302, -0.32681283354759216, -0.4318261444568634, -0.3581489622592926, 0.778420090675354, 0.05583924427628517, 0.3027876317501068, -0.774325966835022, 0.00008567358599975705, 0.2709082067012787, 0.778343915939331, -0.2413315623998642, 0.07060693204402924, 0.3835068941116333, -0.6658927798271179, 1.1953238248825073, -0.48269742727279663, 0.21120110154151917, -0.13594000041484833, 0.9364182949066162, 0.6137053966522217, -0.008834537118673325, -0.4930715560913086, 0.20133760571479797, -0.5105906128883362, -0.17455103993415833, -0.15845851600170135, 0.751258134841919, 0.4750124514102936, -0.6936562657356262, 0.2991780936717987, 0.6791579723358154, 0.9737280011177063, 0.7470634579658508, 1.0025732517242432, -0.11484817415475845, 0.43942180275917053, 0.5516533851623535, 0.336163729429245, 0.0030415207147598267, 0.49034151434898376, -0.5836165547370911, 0.8308957815170288, -0.44329962134361267, -0.10361085087060928, -0.49455690383911133, -0.11561018228530884, 0.7068759202957153, -0.48309963941574097, 0.22375304996967316, 0.07555217295885086, -1.0582219362258911, -0.7086920142173767, 0.3278149366378784, 0.2717265188694, 1.3190521001815796, -1.5737909078598022, 0.42882126569747925, 0.7852316498756409, -0.35589489340782166, -0.5927541255950928, -0.8673800230026245, -1.2067071199417114, -0.14500190317630768, -0.4186420738697052, 0.34032079577445984, 0.3488018810749054, -1.1083812713623047, 0.05641750618815422, 1.1848335266113281, -0.6718032360076904, -1.3326202630996704, 0.723993182182312, 0.010344895534217358, -0.06102916598320007, -0.004864389542490244, 0.10902507603168488, 0.5648820996284485, -0.3557191491127014, 0.2528117895126343, -0.8543610572814941, 0.6381237506866455, 0.40327537059783936, 0.613021731376648, -0.43060916662216187, -0.2737949788570404, -0.6913881301879883, -0.25955167412757874, 0.29663267731666565, 1.2115192413330078, -0.7312997579574585, -0.9300441145896912, 0.6037111878395081, -0.8436346054077148, 1.481614351272583, 0.36771151423454285, 0.8178339004516602, -1.056992769241333, -0.3979191780090332, -0.8895536661148071, -0.9207450747489929, 1.289107322692871, -0.49233919382095337, 1.2130064964294434, 1.7796694040298462, 0.5203853249549866, 0.5328328609466553, 0.36448895931243896, 0.10214310139417648, 1.04703950881958, 0.013785975985229015, 1.3896405696868896, -0.08074483275413513, -0.1113203912973404, 1.4890987873077393, -0.26398342847824097, 0.054042935371398926, 0.5467172861099243, -0.3252435028553009, 0.6699715852737427, -0.8026667833328247, -0.9407662749290466, 0.5187984108924866, -0.4326179325580597, -0.5542225241661072, 0.36557257175445557, -0.2957153916358948, 1.9204834699630737, 0.574722409248352, -0.7321761250495911, 0.04512833058834076, -1.168054223060608, -0.3721323311328888, -0.9237675666809082, 0.03705107793211937, 0.04004357010126114, 1.184210181236267, -1.8413722515106201, 0.031127743422985077, -0.33010169863700867, -0.055237334221601486, 1.0503283739089966, -0.7369930148124695, 0.2461971938610077, 0.3992409408092499, 0.5250188112258911, 0.17820432782173157, -0.4482979476451874, 0.16290201246738434, -0.7629683613777161, -1.1205995082855225, 0.08744467794895172, 0.2570134401321411, 0.3359776735305786, -0.4277942180633545, 0.5528672337532043, 0.2532848119735718, -0.036769118160009384, -0.6260737180709839, -0.5177870392799377, -1.0054885149002075, -0.9054921269416809, 0.28273582458496094, 0.07882461696863174, 0.2850482165813446, -0.009013142436742783, -1.3700363636016846, -0.1965710073709488, -0.514057457447052, -0.4568140208721161, -0.21991613507270813, -0.6984065771102905, 0.7956749796867371, -0.20119675993919373, 0.5104181170463562, -0.48983529210090637, -0.9875777363777161, -0.8755736351013184, -0.12319797277450562, 0.686694324016571, 0.5503579378128052, -0.6248131394386292, 0.20364294946193695, -1.061890959739685, 0.13514691591262817, -0.16302014887332916, -0.8965230584144592, -0.33882996439933777, 0.41140156984329224, 0.10321510583162308, 0.5024433732032776, 1.2101548910140991, -0.10828263312578201, 0.9530187249183655, 0.22131289541721344, 0.7289427518844604, -0.11013687402009964, -0.7129815816879272, 0.7086710333824158, 0.07090489566326141, 0.3852021098136902, -0.4554840922355652, -0.4646008610725403, -0.10564503073692322, -0.4301854968070984, 1.2736644744873047, -0.6908247470855713, 0.7771859765052795, -0.6741287112236023, 0.07392841577529907, -1.3743360042572021, -0.5458073019981384, -0.4801939129829407, 1.387182354927063, 0.13133810460567474, 0.2839115560054779, -0.4048314690589905, 0.41550201177597046, -0.5281775593757629, 0.10157430917024612, 0.11483775824308395, -0.5737563371658325, -0.8522183299064636, -1.242260456085205, 0.6167190670967102, 0.2656852900981903, 0.022756783291697502, -1.3136298656463623, 0.24833862483501434, -0.9934533834457397, -0.19960913062095642, 0.142399400472641, 0.10430397093296051, -0.4110390543937683, 0.9926465153694153, -0.416745126247406, -0.5895000696182251, -2.1730241775512695, -0.04594423249363899, 0.4447586238384247, 0.01860528066754341, -0.3126171827316284, 1.1732574701309204, -0.1781941056251526, -0.5309549570083618, -0.47696083784103394, -0.054817941039800644, 1.0772781372070312, 0.011823320761322975, 1.1220417022705078, 0.6529793739318848, 0.694298505783081, -0.9132930040359497, 0.7574963569641113, 0.48422154784202576, -0.28605449199676514, -0.8258174061775208, 0.43660926818847656, -1.2357280254364014, -0.3023289442062378, 1.0298866033554077, -1.818680763244629, 0.894684910774231, 1.4436075687408447, -0.8574510216712952, -0.598804235458374, 0.13101696968078613, 0.2259931117296219, 0.31282657384872437, 1.8850535154342651, 0.4157121479511261, 0.4389708340167999, -1.0539168119430542, -0.3914755582809448, -0.6516138315200806, 1.0277272462844849, 0.958305835723877, -0.7584271430969238, 0.35034453868865967, -1.2262238264083862, -0.17728133499622345, 0.889901340007782, 0.42451444268226624, 0.08559378981590271, -0.16361133754253387, -0.27856194972991943, 0.7232929468154907, -0.3037230372428894, 0.29510051012039185, -1.148111343383789, 0.46372753381729126, 0.8183397650718689, 1.1194742918014526, -0.3894067406654358, 0.12476776540279388, -0.053374238312244415, -1.4048473834991455, -0.42635729908943176, -0.510581374168396, -0.451565146446228, -0.8302986025810242, 2.0339438915252686, 1.6937824487686157, 1.121561884880066, -0.263869047164917, 0.9526757597923279, 0.2681001126766205, -0.03316266089677811, -0.4495317041873932, 0.19750680029392242, -0.25149592757225037, 0.5450354218482971, 0.5758681893348694, -0.6727701425552368, -1.8732925653457642, -0.3390073776245117, -0.7363453507423401, -0.010613893158733845, -1.147931694984436, -1.0888659954071045, -1.3325397968292236, -0.10083244740962982, -0.21574494242668152, -0.6785887479782104, 0.08915164321660995, 0.5033456683158875, -0.5084837079048157, -1.2099629640579224, -0.9426831007003784, 0.5959379076957703, 0.2290249466896057, 1.1229618787765503, 0.6617927551269531, -0.22868496179580688, -0.23420140147209167, 0.4234076142311096, 0.945425808429718, 0.2746235728263855, 1.1709895133972168, -0.19960947334766388, 0.9653918743133545, 0.5739824175834656, -0.6486318111419678, -0.17669114470481873, 0.8641809821128845, -0.25952431559562683, 0.22164149582386017, -0.15983213484287262, -0.36535176634788513, 1.274232029914856, -0.07350347936153412, -1.035762906074524, -0.8005102276802063, -0.7464441061019897, -1.140673279762268, -0.5557731986045837, 0.5592420101165771, 0.6370691061019897, -0.6855170726776123, -0.3153345584869385, 0.1308542788028717, -0.5846049189567566, 0.8684943318367004, -0.9969114661216736, 1.371322751045227, 1.6734390258789062, -0.5798221826553345, -1.8058918714523315, -0.8740878105163574, -0.6029365062713623, -0.5347962379455566, -0.6529025435447693, 0.004598208237439394, -1.311179518699646, 0.3488693833351135, -1.3464889526367188, -0.9774580001831055, 0.4087456166744232, 1.0274313688278198, -0.3390117585659027, -1.0704669952392578, -0.3765696883201599, -0.3255646228790283, -1.321123719215393, -0.44331929087638855, 0.23423928022384644, 1.4479341506958008, 0.030045969411730766, 0.9152033925056458, 1.0238171815872192, 0.010365314781665802, -0.41287046670913696, 0.42950552701950073, -0.9747413396835327, -0.42506110668182373, -0.09038396179676056, -0.22975307703018188, -0.49035823345184326, -0.46849751472473145, -0.03145516663789749, 0.05623932182788849, 0.6337623596191406, -0.22546368837356567, -1.4921951293945312, -0.6411788463592529, -0.02203993685543537, -0.0330638624727726, -0.6135470271110535, -0.8856720328330994, 0.845234215259552, 0.6090407371520996, 0.023626988753676414, 0.5249145030975342, -0.6397184729576111, -0.058955948799848557, -1.9147590398788452, 1.047570824623108, 0.2228676825761795, -0.32593080401420593, 0.6560315489768982, 1.4616234302520752, 0.20540523529052734, -0.10350319743156433, 0.41600996255874634, -1.2721315622329712, 0.7947131395339966, 1.9490525722503662, -0.08519728481769562, -0.16726312041282654, 0.7680992484092712, -0.15957005321979523, 0.22855696082115173, 0.5111339688301086, 0.9107284545898438, -0.18231508135795593, 0.8113475441932678, -1.2637262344360352, -0.4534606337547302, -0.5779867172241211, -0.6027373671531677, 0.6930334568023682, -0.04108644276857376, -2.331937789916992, 1.387342929840088, -1.6424049139022827, 0.31846997141838074, 0.3327464461326599, 0.2662208676338196, 0.5408245325088501, -0.3836118280887604, -0.23993726074695587, 0.5058757662773132, -1.0515892505645752, -0.3835941553115845, -0.3473026752471924, 0.3718233108520508, 1.5135291814804077, 1.0108925104141235, -0.3073505759239197, 1.4521735906600952, 1.5820660591125488, -0.5371031165122986, 0.923501193523407, -0.2795582115650177, 0.7836735844612122, -0.03521713986992836, -0.37299737334251404, -1.1839762926101685, 0.2850268483161926, -0.928796112537384, 0.21358230710029602, 0.2706170380115509, -0.04341760650277138, -0.7270689010620117, -0.10152514278888702, -0.28267160058021545, -0.31851500272750854, 0.5734565258026123, 0.09278707951307297, 0.11123856902122498, -0.9792786836624146, -0.26183825731277466, 0.1545172780752182, -1.0552455186843872, -0.3153282701969147, 0.32428044080734253, -0.5780168175697327, -0.3576771020889282, 0.654643177986145, -1.160433292388916, 0.6467371582984924, -0.0572059229016304, 0.23865753412246704, 0.7224351167678833, 0.8445107936859131, -0.3023303747177124, -3.07291841506958, 0.20097318291664124, 0.8472263216972351, 0.15821173787117004, -0.774511992931366, 0.4103702902793884, -1.1015750169754028, 0.18479016423225403, -0.2184804379940033, 1.8307499885559082, -0.09548144042491913, -0.5714287757873535, 1.2487670183181763, -0.5728868246078491, 1.1844931840896606, -1.055909514427185, -0.04083575680851936, -0.14239206910133362, -0.37453073263168335, -0.2119094729423523, 0.23413130640983582, -0.4532947242259979, -0.5660633444786072, 0.6966310739517212, -0.47224369645118713, 0.506836473941803, -0.9904237389564514, 0.29988136887550354, -0.5011088848114014, 0.19945843517780304, -0.24228546023368835, -0.382617712020874, -0.24826543033123016, -0.6720128059387207, 0.6637669205665588, -0.08021817356348038, 0.6424854397773743, 0.09359840303659439, -0.159163236618042, -6.946675777435303, -0.08965187519788742, -0.003685076255351305, 0.2717495262622833, 0.8067834973335266, -0.15437835454940796, -0.560228705406189, -1.2025986909866333, -0.23429922759532928, 1.0340720415115356, -0.617707371711731, 0.47129616141319275, -0.8469400405883789, -0.49449843168258667, -0.7409936785697937, 0.8332255482673645, 0.83795565366745, -0.014067713171243668, 0.22914882004261017, 0.1957971602678299, -0.7303249835968018, -0.15283004939556122, -0.24568377435207367, -0.1323654055595398, 1.2925755977630615, 0.5866640210151672, 0.7885806560516357, -1.3090238571166992, 0.9114481806755066, -0.5238618850708008, -0.40167710185050964, 1.1119728088378906, 0.10492608696222305, -0.6153958439826965, -0.9801748991012573, 0.030724290758371353, -0.2627897262573242, 0.451529324054718, 0.21287749707698822, -1.374672770500183, 0.031129486858844757, 0.2907841205596924, -0.8391306400299072, 0.6840206980705261, 0.1585114598274231, 0.7036780714988708, -0.31139734387397766, -0.199680358171463, -0.4020388722419739, 0.01597585901618004, 0.36471256613731384, 0.7022694945335388, 0.12863461673259735, -0.9399681687355042, -0.36634472012519836, 0.7284600734710693, -0.5380730032920837, 0.19421198964118958, -0.5680335760116577, -1.5763800144195557, -1.4664171934127808, -0.45026564598083496, 0.42963406443595886, 0.4485856294631958, -1.3727315664291382, -1.4680453538894653, 0.13607634603977203, 0.10088071972131729, -0.7323557138442993, 1.1772897243499756, -0.2972617745399475, 0.8516422510147095, -0.4336742162704468, 0.36341288685798645, 0.17754802107810974, 0.24785739183425903, -0.23390202224254608, -0.03419690579175949, -0.18059732019901276, 0.6953704953193665, 0.9959053993225098, -0.13872097432613373, -1.8028483390808105, -0.05393270030617714, -0.6433438658714294, -1.6671031713485718, -0.14058738946914673, 0.5876118540763855, 0.7952910661697388, -0.268460214138031, -0.2653455436229706, 1.193973183631897, -0.07047724723815918, 0.4029178023338318, -0.5882453918457031, -0.18776099383831024, 0.7225847244262695, -0.39756014943122864, -1.0881969928741455, 1.086168646812439, 0.16743513941764832, -0.682168185710907, 0.1889272928237915, 0.16925309598445892, 0.0454338900744915, 1.0999116897583008, -0.4152366518974304, -0.17740947008132935, 0.8571687936782837, -0.05393900349736214, -0.5404468178749084, 0.3962800204753876, 0.7055742144584656, -0.601311981678009, 0.8048133254051208, 1.3573873043060303, -0.5310341715812683, -0.4229740798473358, -0.07539334893226624, -1.4078121185302734, 0.11933403462171555, -0.3778221011161804, -0.5893459320068359, -1.8798573017120361, 0.6823840141296387, -1.2806090116500854, -0.06195642799139023, -0.4948117733001709, -0.31991520524024963, 1.0155085325241089, -0.2962283492088318, 0.995043933391571, -0.5446612238883972, 0.9417036175727844, -0.671718180179596, 0.2849847972393036, -0.774427592754364, 0.7096541523933411, 0.8324766755104065, -0.7709934711456299, -0.901435375213623, -0.9715723991394043, -0.6149337291717529, 0.7640882134437561, -0.013021094724535942, 0.323919415473938, 0.4673522114753723, -0.7542744874954224, 0.06163174286484718, -0.8203906416893005, -0.6538798809051514, 1.2700928449630737, 0.9087383151054382, -0.4255220293998718, -0.7519334554672241, -0.4148911237716675, -0.3523643910884857, 0.6597099304199219, -0.03072756715118885, -1.07304847240448, 0.5011134147644043, -0.42250365018844604, 0.7074553966522217, 0.019630730152130127, -0.5531055927276611, 0.6881057620048523, -0.570084273815155, -0.6167107820510864, 2.110980749130249, -0.7527786493301392, 0.6046159863471985, 0.006016921252012253, -0.35707297921180725, 0.8003984689712524, -0.7714755535125732, 1.3607903718948364, -0.42458105087280273, -0.21283483505249023, 0.7148342132568359, -0.5119694471359253, -0.09861219674348831, 0.6246215105056763, 0.3078400790691376, -0.41094955801963806, -0.9770186543464661, 1.5776078701019287, -0.16469956934452057, -0.21253357827663422, 0.1090414971113205, -0.3757818341255188, -0.40404754877090454, -0.1761637181043625, -0.7870374321937561, -1.6033785343170166, 0.035274796187877655, -1.0737801790237427, 0.10323894023895264, 0.43373870849609375, -0.1281844973564148, -1.3017691373825073, -0.5835310816764832, 1.3837180137634277, 0.019161151722073555, 0.2640845477581024, 1.4520102739334106, 1.1198135614395142, 0.23587487637996674, 0.6178825497627258, -0.15776631236076355, 0.22115732729434967, -0.25024333596229553, -1.1559683084487915 ]
1,037
0704.1039
Alexandru Oancea
Fr\'ed\'eric Bourgeois and Alexandru Oancea
Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces
Final version, 92 pages, 7 figures, index of notations. Remark 4.9 in Version 1 is wrong. To correct it we modified the weights for the Sobolev spaces along the gradient trajectories (Figure 3). Proposition 4.8 in Version 1 is now split into Propositions 4.8 and 4.9. This version contains full details for the second derivative estimates in Lemma 4.20
null
null
null
math.SG
null
We define Floer homology for a time-independent, or autonomous Hamiltonian on a symplectic manifold with contact type boundary, under the assumption that its 1-periodic orbits are transversally nondegenerate. Our construction is based on Morse-Bott techniques for Floer trajectories. Our main motivation is to understand the relationship between linearized contact homology of a fillable contact manifold and symplectic homology of its filling.
[ { "created": "Sun, 8 Apr 2007 19:05:04 GMT", "version": "v1" }, { "created": "Wed, 30 Apr 2008 08:58:58 GMT", "version": "v2" } ]
2008-04-30
[ [ "Bourgeois", "Frédéric", "" ], [ "Oancea", "Alexandru", "" ] ]
07
[ 0.9349638223648071, -0.5962458848953247, -0.7174065709114075, 1.0092805624008179, 0.39774107933044434, 0.2778097093105316, 0.6560561656951904, -1.419448971748352, -0.8214355111122131, 0.2266029417514801, 1.1811511516571045, -0.26295000314712524, 0.6875032782554626, 0.3952665328979492, 1.011505365371704, -1.4016590118408203, 0.33082008361816406, -0.7591570019721985, -0.5984277725219727, 0.3427749574184418, 0.03435838967561722, -0.2532147765159607, -0.861875593662262, -0.35432857275009155, -0.05252513289451599, -0.3162655532360077, -0.5264586210250854, 0.3065812289714813, -0.019587317481637, -0.3576708436012268, -0.6665099859237671, 0.8139556050300598, -1.611889362335205, -0.3706139028072357, 0.10847107321023941, 0.057373180985450745, -0.72694993019104, -1.022882342338562, -0.4267598092556, 0.10837988555431366, -0.9152505993843079, 0.46966493129730225, -0.39948517084121704, -0.7365137934684753, 0.11016687750816345, -0.4633830189704895, 0.23273345828056335, 0.5322513580322266, -0.9860554337501526, 0.61604905128479, -0.49527794122695923, 0.6628491878509521, 1.043333888053894, 0.037949513643980026, 1.3489969968795776, 1.5903635025024414, 0.06197129189968109, 0.14430928230285645, -0.33976292610168457, -0.34482070803642273, -0.2893703281879425, -0.09762443602085114, 0.017743611708283424, 0.42851001024246216, 0.40627187490463257, -0.31008946895599365, 0.5800589323043823, 1.967970371246338, 1.9250599145889282, 0.4373933672904968, 1.1301316022872925, -0.37814784049987793, -1.0249700546264648, -0.30712929368019104, 1.208430528640747, -0.15974757075309753, -0.008548534475266933, -0.06336192041635513, 0.30441898107528687, -0.006169911473989487, 0.5591669678688049, -0.4499756693840027, -0.1325431913137436, -0.05804230645298958, 0.48214995861053467, -1.4155659675598145, 0.8254998922348022, -0.06547775864601135, 0.42696550488471985, 1.7285670042037964, 1.6540215015411377, -0.2660588324069977, 0.19296328723430634, 0.9219900369644165, -0.25824275612831116, -1.908903956413269, -0.41406360268592834, -0.04579996317625046, -0.888546884059906, -0.8976274728775024, -0.21151070296764374, 0.028057362884283066, 0.5897981524467468, 0.0172785185277462, -0.7229071259498596, -0.49456337094306946, 2.0677237510681152, 1.1082894802093506, 0.5464444160461426, -0.09051475673913956, 0.23792311549186707, -0.006475829053670168, -0.46427616477012634, -0.5513312220573425, -0.48216933012008667, 1.6987024545669556, -1.952527403831482, -0.6229068636894226, 0.04111636057496071, -1.3718847036361694, 0.24141791462898254, 0.037845510989427567, 0.578067421913147, 0.5176215767860413, 0.19921016693115234, 1.5723217725753784, -1.246428370475769, -0.11882033944129944, 0.17838044464588165, -1.6270508766174316, 0.3324960768222809, 0.46616432070732117, 0.8359675407409668, -0.06904762983322144, -1.4974309206008911, -0.6151626110076904, 0.3870142996311188, 0.30633142590522766, 0.16332899034023285, -0.8025105595588684, -1.2408843040466309, -0.2184283435344696, -0.9348751902580261, 0.948289155960083, 1.1761682033538818, 0.3027055561542511, 0.34848350286483765, 0.8264281153678894, 0.7200111150741577, 0.09777439385652542, 1.2211229801177979, -0.6618030071258545, -0.03346426412463188, -0.45335620641708374, -0.16649696230888367, -0.867232084274292, 0.401618093252182, 1.3658963441848755, -0.6987619996070862, 0.219553142786026, -0.000001939475623657927, -0.1618761420249939, 0.2665312886238098, -1.4815244674682617, 0.08350522816181183, 0.9445693492889404, 0.9218559861183167, -0.19208720326423645, 0.9119962453842163, -0.6171015501022339, -1.1450666189193726, 0.2884168326854706, 0.5854251384735107, 0.6734256148338318, 0.7869940400123596, -0.23533935844898224, 0.643921434879303, 0.38113170862197876, -0.01728474721312523, 0.08368868380784988, -0.30361372232437134, -0.927750825881958, -0.073330819606781, 0.6323444843292236, -0.7917234301567078, 0.5339751839637756, -0.5481423735618591, -0.639607846736908, 0.0014868562575429678, 0.2770651876926422, 0.38774141669273376, -0.31720060110092163, -0.37636247277259827, -0.07146219164133072, 0.6571067571640015, -0.6730914115905762, -0.22209353744983673, -0.3703332245349884, 0.9864068031311035, -0.38337546586990356, -0.07512712478637695, -0.14089824259281158, -1.5824683904647827, -0.08116993308067322, 0.7488511800765991, 0.9112738370895386, 0.2872774600982666, 0.18190449476242065, -0.266546368598938, -0.7463207244873047, 0.2742128074169159, -0.8267883062362671, -0.7093526124954224, -0.3624921143054962, 1.0378199815750122, -0.6233077645301819, 1.4561933279037476, -1.287540078163147, -0.874949038028717, 0.22039733827114105, -0.9851998686790466, 0.14512349665164948, 0.4010888338088989, 0.3716117739677429, -0.45224398374557495, 0.3649647831916809, 0.5305212140083313, -0.3067013919353485, -1.3551322221755981, 0.36075258255004883, -0.6895034313201904, -1.4283028841018677, 0.1053200215101242, 0.4332355856895447, 0.5127013921737671, -0.10982081294059753, -1.9151501655578613, -0.3018924593925476, 0.4564826786518097, 0.5400354862213135, -0.720268726348877, -0.15722540020942688, -0.0510723814368248, -0.18359830975532532, 0.34604763984680176, 0.26948127150535583, 0.37219372391700745, -0.6121007800102234, -0.6471138596534729, 0.7043615579605103, -1.130763053894043, 0.2660072147846222, -0.4662955105304718, -0.08759807795286179, 0.20744961500167847, -0.4161081314086914, -0.3412688374519348, -0.2631886303424835, -1.832534670829773, -0.6583632826805115, -0.19959403574466705, 0.0982656180858612, -0.29265546798706055, -0.13522373139858246, 0.650398313999176, -0.3215979039669037, 0.48251351714134216, 0.5311378240585327, -0.538762629032135, 0.8304721713066101, -0.05342094972729683, -0.39302968978881836, 1.148432970046997, 0.5159607529640198, -0.026381175965070724, 1.154841661453247, -0.34430477023124695, -0.4464553892612457, -0.3241787850856781, -0.7629926800727844, 0.8606064319610596, 1.489959716796875, 0.44090956449508667, -0.40903401374816895, -0.3538435101509094, 0.30634796619415283, -1.0383797883987427, 0.3022831976413727, 0.5991218090057373, 0.29539698362350464, -0.5347976684570312, -1.2721251249313354, -0.6255215406417847, 0.939224123954773, -0.03256376460194588, -1.1466996669769287, -1.1784777641296387, -0.5134496688842773, 0.17182467877864838, 0.5617592334747314, -0.5271664261817932, -0.5127427577972412, -0.36205804347991943, 0.9778005480766296, 0.3700178563594818, 0.07605819404125214, -0.3753015100955963, 0.21166011691093445, -0.044819749891757965, -0.45815417170524597, -0.5286445021629333, 1.245996356010437, -0.5047795176506042, -1.223147988319397, -1.0870319604873657, 1.7805790901184082, 1.6839592456817627, -0.9411818385124207, 0.24103449285030365, -1.7232552766799927, -0.11670766770839691, 0.3401140868663788, 1.5590656995773315, -0.8130803108215332, 1.5179108381271362, -0.10021340847015381, 0.09015674144029617, 0.4275061786174774, 0.822158932685852, 1.1084946393966675, -0.43102318048477173, -0.8542802333831787, -0.13238060474395752, -0.8286626935005188, -1.4816302061080933, -1.6659621000289917, 1.115662693977356, -0.5088324546813965, 0.6385117769241333, -0.29540517926216125, 0.2288980334997177, -0.6247171759605408, -0.24302130937576294, -0.8188151717185974, -0.029666125774383545, 0.5412496328353882, -0.04201328381896019, -0.34660211205482483, -0.6447718143463135, 1.0996170043945312, -0.008694924414157867, 0.38124847412109375, -1.0380126237869263, 0.933599054813385, 0.5875768065452576, -0.1410684585571289, 0.4233299791812897, 1.0767674446105957, -0.7476961016654968, 0.23010462522506714, 0.7792825102806091, -0.06933201849460602, 0.003031111555173993, -0.9096226692199707, -0.01705094240605831, 0.8477610945701599, 0.5021892189979553, 0.21029315888881683, 0.6457494497299194, 0.8221021890640259, -1.484344244003296, 0.6429334878921509, -0.74991375207901, -0.3266499936580658, -0.4559733271598816, -0.05350194126367569, -0.26613056659698486, -0.3100190758705139, 1.0645383596420288, 0.8610625863075256, -0.01652718335390091, 1.013466238975525, 0.6879681944847107, -0.39481133222579956, 0.4872843325138092, -0.03885049745440483, -0.6449471712112427, -0.1683560311794281, 0.37420132756233215, -0.3461741507053375, -0.8139218091964722, 0.6966712474822998, 0.6808949708938599, 0.8161740303039551, -0.5028643608093262, 1.1976914405822754, 0.31673115491867065, -1.083853006362915, 0.4748830795288086, 0.9960482716560364, -0.08431754261255264, -0.6251637935638428, 0.4327166676521301, 0.7877690196037292, 0.36502066254615784, -0.3330525755882263, -0.03956448286771774, -0.023550860583782196, -0.6313202977180481, 0.7530672550201416, -0.43806031346321106, -0.735049843788147, -0.6162895560264587, -0.6556923389434814, -0.26003509759902954, 0.35693448781967163, -1.1214877367019653, -0.37735214829444885, 0.6690006852149963, -0.4355165660381317, -0.04419197514653206, 0.22381387650966644, 0.693812370300293, -0.26443031430244446, 0.08458120375871658, 0.34804078936576843, 0.1939171403646469, -0.266693115234375, -0.7234783172607422, -0.38076135516166687, -0.5649159550666809, 1.3293768167495728, -0.41395819187164307, 0.29751163721084595, -0.7701762318611145, -0.17110323905944824, -1.105301856994629, 0.6009559631347656, -0.36818769574165344, -1.6237713098526, -1.3265438079833984, 0.5633441805839539, 0.3459075689315796, -0.361354798078537, 1.0054594278335571, -0.9157212376594543, 0.0454489067196846, 0.03848695382475853, 0.17584668099880219, -0.15973396599292755, 0.03292341157793999, -0.8948086500167847, 1.2347917556762695, -0.0597861148416996, 0.030560143291950226, -0.12111020088195801, 1.1866354942321777, -0.6165142059326172, 0.46612799167633057, -1.1382259130477905, -1.6390358209609985, -0.3200102150440216, -0.8831433653831482, -1.263841986656189, 0.3010457158088684, -0.07253941893577576, -0.23527024686336517, -0.36204925179481506, 0.3953457474708557, 1.2786362171173096, 0.0378689169883728, -1.4499787092208862, 0.1443590372800827, -0.5111271142959595, 0.3225308358669281, -0.9513139128684998, -0.8295859694480896, 0.14517836272716522, 0.4917724132537842, -0.605408251285553, 1.8519611358642578, -0.7811437845230103, 1.0547505617141724, -0.07012267410755157, 0.3031989336013794, 0.1924242079257965, 0.27501606941223145, -0.5384637117385864, -0.8323554992675781, 1.3134033679962158, -0.014172989875078201, -0.0358140729367733, -1.4918839931488037, 0.9096004962921143, -1.0162371397018433, 1.0295161008834839, -0.001237391377799213, 1.3098968267440796, -0.8208786845207214, 0.31900709867477417, -0.15247811377048492, 0.6110559105873108, 1.183659315109253, -0.8170438408851624, -0.9157372713088989, -1.293164610862732, -0.3574765622615814, 0.7114070653915405, -0.8111010193824768, 0.2536166310310364, 0.10987777262926102, 0.3096786141395569, 0.9945868849754333, -0.338521271944046, 0.6421868205070496, 0.15248997509479523, -0.32500219345092773, -2.4127695560455322, -0.07387041300535202, 1.0568557977676392, 0.5627024173736572, -0.8969602584838867, -0.17703504860401154, 0.5161027908325195, 0.8966509699821472, -0.2226535975933075, 0.30871012806892395, -0.058147117495536804, -0.6423366665840149, 0.4337512254714966, 0.06950696557760239, -0.15955455601215363, -0.9177924394607544, -1.559422492980957, -0.07800542563199997, -1.7458621263504028, -0.7094805836677551, 0.4044950008392334, 0.6209957003593445, -0.845447301864624, -0.7191911935806274, -0.26711657643318176, 1.517166256904602, -1.9639530181884766, 0.6931741833686829, -0.593514084815979, 0.4561786353588104, -0.7025308609008789, -0.46807533502578735, 0.13350361585617065, 0.023463070392608643, -0.8255441188812256, -2.144864797592163, 1.0025312900543213, -0.7311632633209229, -0.5303242802619934, -7.084397315979004, 0.008494098670780659, -0.23232720792293549, -0.777007520198822, -0.12558303773403168, 0.11568284034729004, -0.07410065084695816, -0.2688129246234894, -0.19613109529018402, -0.9916049838066101, 0.3727112412452698, 0.3075273334980011, -0.724009096622467, -0.38689011335372925, 0.18097393214702606, -0.3318784534931183, -0.09647457301616669, -0.7496026754379272, -0.3252633213996887, 0.2619748115539551, -0.8713822364807129, 0.3952361047267914, 1.2717503309249878, -0.8598461151123047, 0.7425692081451416, -1.4434691667556763, 0.42839890718460083, 0.39410778880119324, 0.7900627255439758, -0.03130035847425461, 0.06077219545841217, 0.3200864791870117, 0.03171319514513016, 0.4236734211444855, -1.6909935474395752, -0.14674381911754608, 0.6940987706184387, -0.5318020582199097, 0.6589005589485168, -0.9321832060813904, -0.5621205568313599, -1.6668092012405396, 0.35579654574394226, -0.08101792633533478, 0.9169427156448364, -0.7883052229881287, 0.4791222810745239, 0.3432888388633728, 0.3293519914150238, -0.5331213474273682, -0.803451418876648, 0.5781980156898499, 1.515811562538147, 0.01890244148671627, -0.2986786663532257, -0.37163564562797546, -0.7476908564567566, -0.2649215757846832, 0.8377673625946045, 0.3213129937648773, -0.0381312221288681, 0.10136914253234863, 0.11510103195905685, -0.14642159640789032, 0.3821963667869568, -0.35370704531669617, 0.34572160243988037, 1.2815659046173096, 0.24179744720458984, 0.5991612076759338, 0.23150256276130676, -2.3462021350860596, 0.5381054878234863, 0.7785154581069946, 0.5788009762763977, -0.4570128321647644, 0.38820046186447144, 0.8304692506790161, 0.0515400655567646, 0.12769833207130432, -1.0755252838134766, 1.2282999753952026, -0.4399312138557434, -0.9024139046669006, -0.741357147693634, 0.29536885023117065, -0.37873128056526184, 0.4165951907634735, 0.6671429872512817, -0.7355977892875671, -0.8574634194374084, 1.016780972480774, -0.529532253742218, 0.7050167918205261, -0.09786955267190933, -0.11455109715461731, -0.35039958357810974, -0.26144981384277344, -0.02934177778661251, 0.6141179203987122, -1.2807503938674927, -0.46560919284820557, 0.32044723629951477, 0.35449638962745667, 0.5833832025527954, 0.03295174613595009, -1.6052157878875732, -0.09234006702899933, 0.6677435636520386, 0.35965481400489807, 0.24504928290843964, -0.07881897687911987, 0.35754525661468506, -0.3532519042491913, -0.13676145672798157, 0.10045243054628372, 0.3155423104763031, -0.687007486820221, 0.4447552561759949, -1.1662914752960205, 0.13483385741710663, -1.1286609172821045, -0.3446575403213501, 0.6670790910720825, 0.7282184362411499, -0.3251606523990631, -0.583943247795105, -0.0408148430287838, 0.548082709312439, -1.7504751682281494, 0.4546421766281128, -0.6385962963104248, -1.9899566173553467, 1.1022658348083496, 0.8159629702568054, -0.0131078427657485, 0.8529224991798401, -1.6468985080718994, 0.832604706287384, -1.1028701066970825, 0.3174690008163452, 0.5253158807754517, -1.134122610092163, -0.09744605422019958, 0.0017924141138792038, 0.2643154561519623, -1.6561579704284668, -0.013470089994370937, 0.02780352160334587, -0.0565328486263752, 0.5090988874435425, -0.7174143195152283, 0.40966928005218506, -0.5673564672470093, -0.44160863757133484, 0.9902092814445496, -0.3288846015930176, 0.8573143482208252, -0.5839027762413025, -0.46362003684043884, -0.269512802362442, 0.11168897151947021, 0.32460325956344604, 1.2562670707702637, 0.9147316217422485, -0.14063334465026855, -0.07412156462669373, -0.22598804533481598, -0.4892164170742035, 0.1234542727470398, 0.12522558867931366, -0.060389336198568344, -0.28418025374412537, -0.14948132634162903, -0.9988292455673218, 0.3890351951122284, -0.5339698791503906, -2.0665528774261475, -0.12517394125461578, -0.8314854502677917, 1.258980631828308, 1.56973135471344, -0.4589737057685852, -0.21650035679340363, -0.014323926530778408, 1.035899043083191, -0.413348525762558, 0.4925645589828491, 0.4520986080169678, 0.7820820212364197, 0.12066829204559326, -0.6005323529243469, -0.7821854948997498, 0.5017154812812805, -1.373822808265686, 0.4799237847328186, -0.45084622502326965, -0.8343966603279114, 0.09420599788427353, 0.1974763423204422, -0.2623371481895447, 1.2454304695129395, -0.15889480710029602, -0.033453330397605896, -0.0026450585573911667, -0.5572994351387024, -0.18693339824676514, 1.0310618877410889, 0.8196272253990173, 0.330932080745697, 0.1230223998427391, -0.2761687636375427 ]
1,038
0704.1040
Galina L. Klimchitskaya
B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko
Recent Results on Thermal Casimir Force between Dielectrics and Related Problems
35 pages, 3 figures, ws-ijmpa.cls is used
Int. J. Mod. Phys. A, v.21, N25, p.5007-5042 (2006)
null
null
quant-ph cond-mat.stat-mech hep-th
null
We review recent results obtained in the physics of the thermal Casimir force acting between two dielectrics, dielectric and metal, and between metal and semiconductor. The detailed derivation for the low-temperature behavior of the Casimir free energy, pressure and entropy in the configuration of two real dielectric plates is presented. For dielectrics with finite static dielectric permittivity it is shown that the Nernst heat theorem is satisfied. Hence, the Lifshitz theory of the van der Waals and Casimir forces is demonstrated to be consistent with thermodynamics. The nonzero dc conductivity of dielectric plates is proved to lead to a violation of the Nernst heat theorem and, thus, is not related to the phenomenon of dispersion forces. The low-temperature asymptotics of the Casimir free energy, pressure and entropy are derived also in the configuration of one metal and one dielectric plate. The results are shown to be consistent with thermodynamics if the dielectric plate possesses a finite static dielectric permittivity. If the dc conductivity of a dielectric plate is taken into account this results in the violation of the Nernst heat theorem. We discuss both the experimental and theoretical results related to the Casimir interaction between metal and semiconductor with different charge carrier density. Discussions in the literature on the possible influence of spatial dispersion on the thermal Casimir force are analyzed. In conclusion, the conventional Lifshitz theory taking into account only the frequency dispersion remains the reliable foundation for the interpretation of all present experiments.
[ { "created": "Sun, 8 Apr 2007 18:43:48 GMT", "version": "v1" } ]
2007-05-23
[ [ "Geyer", "B.", "" ], [ "Klimchitskaya", "G. L.", "" ], [ "Mostepanenko", "V. M.", "" ] ]
07
[ 0.5895439982414246, 0.02863396145403385, 0.3671030104160309, -0.04026880860328674, -1.1037635803222656, -0.007369585335254669, 0.8756200075149536, 0.2634635865688324, -0.2878890931606293, -0.4244973063468933, -2.0157134532928467, 0.32901450991630554, 1.2111042737960815, 0.4984184503555298, -0.08903311938047409, -1.1702125072479248, -0.7925071716308594, -0.13568881154060364, 0.7594313025474548, 1.0737299919128418, -0.07067039608955383, 0.09399718791246414, -0.3689989447593689, 1.428714632987976, -0.5995141863822937, -0.38620516657829285, -0.19263027608394623, 1.0485069751739502, 0.1613517850637436, 0.10617326945066452, -0.21517017483711243, 0.18179094791412354, 0.12891815602779388, 0.1740623414516449, -0.4540782570838928, -0.24824662506580353, 2.119828462600708, -1.1839921474456787, 0.15781113505363464, -1.6201322078704834, -0.2917790114879608, -1.40242338180542, -0.48813557624816895, 0.28958186507225037, 0.3679339289665222, 0.7106709480285645, -1.0429713726043701, -0.013214788399636745, -1.380185604095459, 0.39645329117774963, 0.1996624618768692, -0.6921506524085999, -0.30662405490875244, -0.5195167064666748, 1.0668704509735107, -1.3998984098434448, 0.061077725142240524, 0.4746040999889374, 0.8763381838798523, -1.117797613143921, -0.10993443429470062, 0.02735343761742115, 0.13367630541324615, 0.10146335512399673, 0.022903116419911385, 0.02311118133366108, 0.1943398118019104, -0.1478113979101181, 0.08843110501766205, 0.6666461229324341, 0.6018779873847961, -0.8696640729904175, 0.12274400889873505, -0.6001437306404114, -0.7842310070991516, 0.9333951473236084, -1.2291818857192993, -0.18819403648376465, 0.7411385774612427, -0.5063539147377014, -0.4231676459312439, 1.3311183452606201, -0.25301507115364075, -1.0353316068649292, -0.7080538868904114, 0.9705983996391296, 0.18604539334774017, -0.20480221509933472, -0.5109592080116272, 0.33488988876342773, 1.7108067274093628, -0.4257304072380066, -0.6182870864868164, 0.6035284996032715, 2.0889012813568115, -0.2722821533679962, 0.4261617660522461, 0.14664652943611145, -0.2121993899345398, -0.38316914439201355, 0.3459203541278839, -0.3513607084751129, 0.45095309615135193, -0.8679020404815674, -0.11317981779575348, 0.02700798213481903, -0.0007209077593870461, -0.9687204360961914, 0.35666194558143616, -0.32275018095970154, 0.38557377457618713, -1.1899065971374512, -0.4527651071548462, 0.2991786599159241, 0.001698096632026136, 1.140502691268921, 1.0357508659362793, 0.14405420422554016, 1.2364624738693237, 0.9050524234771729, 0.3361460268497467, 0.11741263419389725, 1.129942536354065, 0.018875686451792717, 0.6990256309509277, -0.0068566324189305305, 0.055871766060590744, -0.03296580910682678, 0.6250790953636169, -1.8502014875411987, -0.6864469051361084, -0.5204506516456604, 0.11112566292285919, 0.6344051957130432, -1.316389799118042, 0.5185465812683105, -0.06339053064584732, -0.28599146008491516, 0.8462278842926025, -1.4485207796096802, 0.25678884983062744, 0.6944442391395569, -1.2092229127883911, -0.8695731163024902, -0.4340081810951233, -1.887595534324646, -0.8711937069892883, -0.8437570929527283, 0.256237655878067, 0.7344470024108887, -0.3148461580276489, -1.5106520652770996, -0.21181727945804596, 0.6641268134117126, 0.08217927813529968, 0.04930347949266434, -0.682627260684967, 0.05172859504818916, -0.8856040239334106, 0.34524282813072205, -0.11340571939945221, -0.7976977825164795, -0.4336399734020233, -0.38578516244888306, -0.19611002504825592, -0.005306113976985216, 0.3567247688770294, -0.4287242293357849, -0.7253691554069519, 1.03071928024292, -0.20744773745536804, -0.016642853617668152, -0.6018560528755188, 1.5676748752593994, 0.04200699180364609, 0.6067897081375122, 0.8519434332847595, 0.32436224818229675, -0.3568568229675293, 0.7281733751296997, -1.1764428615570068, -0.21317645907402039, -1.337312936782837, 0.2633276581764221, 0.16405490040779114, -0.7701836824417114, 1.4670161008834839, -1.2043952941894531, 1.0264434814453125, 0.9755753874778748, -0.7692233920097351, -0.5995945334434509, -1.3494869470596313, 0.492813378572464, 0.605038046836853, 0.27418267726898193, 1.5407153367996216, 1.2785208225250244, 0.07005362212657928, 0.4665021598339081, 0.5642160177230835, 0.7746419310569763, 0.5475234389305115, 0.36936700344085693, -1.8169643878936768, 0.7716442942619324, -0.12524814903736115, 0.44511187076568604, -1.3265794515609741, 0.5903829336166382, -0.9852682948112488, 0.19622553884983063, -0.258666068315506, -0.35170143842697144, 1.1873102188110352, -1.0302373170852661, -0.8146154880523682, -1.6839438676834106, -0.5202471017837524, 0.04113299027085304, -0.20456406474113464, 0.1892910897731781, -0.24552981555461884, -0.5504840016365051, 0.2981370985507965, -1.31825852394104, -0.8181442618370056, 0.4337524175643921, -1.981021523475647, 0.4383121430873871, 1.0265692472457886, -0.1348155289888382, -0.11783585697412491, 0.5982108116149902, 0.549724280834198, 0.39185434579849243, 0.07953464239835739, -0.47739312052726746, -1.5706454515457153, 0.7369168996810913, -0.761017918586731, 0.3486645519733429, 0.1551065891981125, -0.2413991540670395, -1.105258822441101, -0.15480612218379974, 1.069772720336914, 1.9577594995498657, -0.5779538154602051, -0.18874913454055786, -0.5711827874183655, 0.630916178226471, 1.7024121284484863, -0.13657993078231812, -0.4086740016937256, 0.24190294742584229, 0.7130728363990784, -0.010906665585935116, 1.0216076374053955, 0.17613568902015686, 1.1200754642486572, -0.9848374128341675, 0.2292117029428482, -0.699897050857544, -0.13865725696086884, -0.6681697964668274, 0.13030871748924255, 0.4408455193042755, 1.6983155012130737, -0.1636660248041153, 0.9662193655967712, -1.3606916666030884, -0.6479372978210449, 0.006610395386815071, 0.5532673001289368, -0.11913969367742538, -0.7701134085655212, 0.1793719232082367, -0.45223867893218994, -0.030337586998939514, 0.9294862151145935, 0.70233553647995, 0.346550852060318, -0.09783927351236343, 1.0973838567733765, -0.32494673132896423, 0.8282540440559387, -0.4232600927352905, -0.17264294624328613, -0.049012091010808945, -0.34859776496887207, -0.7697574496269226, 0.3247147798538208, -0.6135541796684265, -0.10324428230524063, -0.47535914182662964, -0.06931373476982117, -1.0201677083969116, 0.5758247971534729, -0.15571151673793793, -0.6253183484077454, -0.47261080145835876, 0.7231360673904419, -1.0050358772277832, 0.5722792744636536, -0.06722597032785416, -0.882033109664917, -0.7586994171142578, 0.8845067620277405, 1.240789532661438, 0.16342619061470032, -0.4536781311035156, 0.4398806691169739, 0.3331805169582367, 2.457411766052246, -0.21051453053951263, -0.7456761598587036, 0.10482767224311829, -0.3543529808521271, -0.38217809796333313, 0.04418554529547691, 0.2178693413734436, -0.9310571551322937, -0.26838141679763794, 0.8670403361320496, -0.22502529621124268, -0.22276775538921356, -0.08482074737548828, 0.4961307942867279, 0.17228050529956818, -1.155552625656128, -0.28997692465782166, -0.44806990027427673, 0.5323612689971924, -1.3301138877868652, -1.3397797346115112, 0.2820267379283905, -0.9333323836326599, 0.29820406436920166, -0.4698057174682617, -0.31908097863197327, -0.6866863965988159, -0.755452036857605, -0.09408576786518097, -1.0418044328689575, 0.4524296224117279, 0.11236411333084106, -0.16621066629886627, 0.07040295004844666, 0.10645819455385208, -1.1177679300308228, -0.057472456246614456, -1.4983346462249756, 0.6724527478218079, -0.21073240041732788, -0.42291444540023804, 0.2281181514263153, 0.8130630850791931, 0.7125076651573181, 0.043623313307762146, -1.425022006034851, 0.5066326856613159, 0.5588481426239014, -1.7726739645004272, 0.4190443158149719, 0.5712266564369202, -1.1480942964553833, 0.3573015332221985, -0.4911022186279297, 0.33772018551826477, -0.4078890383243561, 0.5385417938232422, 0.6124266982078552, 0.29321053624153137, -0.8219118714332581, -1.018511414527893, -0.9861851930618286, -1.3808140754699707, 0.18232469260692596, -0.13518476486206055, 1.6125860214233398, -0.40593743324279785, 0.2712576985359192, 1.0276579856872559, -0.15870358049869537, 0.4741150736808777, -0.7196589112281799, -0.3906344771385193, 0.5373048186302185, 0.6428981423377991, -1.0905990600585938, 0.006947637535631657, 0.7882917523384094, -0.8012915849685669, 0.8035455942153931, 0.45207440853118896, 0.5076993107795715, 0.9837823510169983, 0.8216562271118164, 0.1751069873571396, 0.7219877243041992, -0.4228309392929077, 0.16826507449150085, -0.00971438642591238, 0.5366763472557068, -0.6722100973129272, 1.011629343032837, 0.7911080718040466, 0.16529454290866852, -0.3562290668487549, -1.2966928482055664, -1.2595428228378296, -0.7671565413475037, -1.0885058641433716, 0.6948801279067993, -0.19587527215480804, 0.766369640827179, 0.8802823424339294, 0.30921781063079834, 0.04132989048957825, -0.4917680323123932, -0.2249721884727478, -0.6099827289581299, 0.2769203186035156, 1.0562584400177002, -0.27607792615890503, -0.823959231376648, -1.3810129165649414, 1.5664770603179932, -0.5369654893875122, -0.0496990792453289, 1.4981223344802856, -0.6662846803665161, 0.9035676121711731, -0.4379018247127533, 0.10078483074903488, -0.052933406084775925, -0.8553337454795837, -0.4386994242668152, -0.5783110857009888, 1.0640602111816406, 0.7178364396095276, -1.754130482673645, -1.578149437904358, -0.04611189663410187, 0.2930612564086914, -0.9306496381759644, 1.407063603401184, 1.003731608390808, -0.23029355704784393, -0.2175334393978119, 0.3785606026649475, -0.5447867512702942, 0.1562986671924591, -0.44436439871788025, -0.5550445318222046, -2.3528172969818115, 0.7786028385162354, -0.31047505140304565, 1.1993838548660278, -0.1402411162853241, -0.2189355045557022, -0.17402689158916473, -1.1401350498199463, -0.6048260927200317, -0.9415071606636047, -1.25015389919281, -0.42464539408683777, -0.8329363465309143, -0.7739453315734863, -0.5015192031860352, -1.3811583518981934, 1.4177736043930054, -0.5697236657142639, -0.14926262199878693, -0.27200037240982056, 0.6701163053512573, 0.23455366492271423, 0.20057496428489685, 0.8847359418869019, 0.21774820983409882, 0.8602953553199768, -0.7336401343345642, -0.6749701499938965, -1.6413800716400146, 0.7196633219718933, 0.22140173614025116, -0.10415858775377274, 0.37589025497436523, 1.3612251281738281, -0.04140716791152954, 0.11953654140233994, -0.9914747476577759, -0.35650041699409485, -0.5083246231079102, 0.6567813754081726, 0.9818695187568665, 0.46653953194618225, -0.9597839713096619, -1.1053482294082642, 1.0985524654388428, -0.2982935905456543, 0.411184161901474, -1.4533692598342896, -1.3104346990585327, 0.14184924960136414, 0.2524692416191101, -0.3817208707332611, 0.8493473529815674, 0.20720157027244568, 0.2169959992170334, 0.28944459557533264, 1.7648218870162964, 0.34178388118743896, -0.5005040764808655, 0.09196701645851135, -1.567781925201416, -2.869922161102295, 0.5568471550941467, 0.8477790951728821, 0.015870843082666397, -0.593630313873291, -0.20692646503448486, 0.22584261000156403, -0.1955963373184204, 0.3712664246559143, -1.0832804441452026, -0.6361801028251648, 0.1542426347732544, 0.16288691759109497, 0.3485860824584961, 0.4904661774635315, 0.6151987910270691, -0.739233136177063, 0.12756818532943726, 0.10424765944480896, 0.5648437738418579, 0.1423226296901703, -1.2745658159255981, -0.3920590579509735, 0.4753069579601288, -0.2491290420293808, -0.5700006484985352, -0.029446927830576897, 0.45226263999938965, -0.7075226306915283, -0.7157316207885742, -0.13218644261360168, -0.7555624842643738, -0.6577102541923523, 0.11225036531686783, -0.34184491634368896, -0.6035199165344238, -0.1237180158495903, -0.045099806040525436, -0.559449315071106, -6.7292962074279785, -0.46174705028533936, -0.03345909342169762, 0.37051093578338623, 1.195852518081665, -0.6721336841583252, 0.76836097240448, -0.21205642819404602, 0.19663046300411224, 0.38442906737327576, 0.030467012897133827, -0.666279137134552, 0.3428361117839813, 0.1449478566646576, 0.2690582573413849, -0.05218861997127533, 0.022671371698379517, -0.20652799308300018, -0.5773523449897766, 0.6425463557243347, -0.9817982912063599, 1.041565179824829, 0.16784846782684326, 0.5994277000427246, 0.9503422379493713, -0.573026180267334, -0.059250686317682266, -0.7237101793289185, 0.24224494397640228, 0.40046611428260803, 0.7529535293579102, 0.5336998701095581, -0.5854969620704651, -0.32223740220069885, 1.5105534791946411, -0.22181890904903412, 0.6066563129425049, -0.5514358878135681, 0.41741424798965454, -0.06973860412836075, 1.3312458992004395, -0.47818824648857117, 0.1693691611289978, 0.7203887104988098, 0.80455482006073, -0.1586492657661438, 0.03875701501965523, -1.1434601545333862, 0.345581591129303, 0.5197025537490845, -0.8526210188865662, -0.37855228781700134, -0.1313464492559433, 0.8014324307441711, 0.6669011116027832, 0.7297075390815735, -0.22322583198547363, -0.903676450252533, 0.1664426028728485, -0.569669783115387, -0.18276965618133545, -0.5380739569664001, 0.12135711312294006, -0.4982787072658539, -0.5959018468856812, -0.40577372908592224, 1.133812427520752, -0.29531314969062805, 0.6287345290184021, 0.8079794645309448, -1.0293307304382324, -1.0013206005096436, 0.807051420211792, 0.6711105108261108, 0.5979219675064087, 0.3483518362045288, 0.8172553181648254, 0.08920697122812271, -0.355131596326828, 2.4491569995880127, 1.1193201541900635, 0.04642149433493614, 0.15901681780815125, 1.15481436252594, -0.5471205711364746, 0.056516192853450775, 0.33341947197914124, -0.0473257452249527, 0.84326171875, -0.7636280059814453, -0.360681414604187, 0.4735875129699707, 0.2041449397802353, -0.4349484145641327, 1.1970231533050537, 0.19975566864013672, -1.1578634977340698, -1.318534255027771, -0.7386804819107056, -0.532792866230011, -0.40247824788093567, -0.27526599168777466, 0.7142201066017151, 0.547318696975708, 0.05237964913249016, 0.9036868214607239, -0.7615846991539001, -0.24707703292369843, 0.32708606123924255, 0.49691063165664673, -1.3094279766082764, -0.45372474193573, -0.407308965921402, 0.6829416155815125, 0.6260245442390442, 0.3514603078365326, 1.3918780088424683, 0.28485438227653503, -0.6401003003120422, 0.2412354201078415, -1.0917302370071411, 0.010755117982625961, -0.2806173861026764, -0.13572536408901215, 0.36257219314575195, -1.793738603591919, 1.30679190158844, -1.2654579877853394, -0.4432220458984375, -0.082680843770504, -0.48181480169296265, -2.227393865585327, 0.3442007303237915, -1.2380787134170532, 0.8351051807403564, 0.5550524592399597, 0.19138287007808685, -0.7952496409416199, -0.19150789082050323, 0.5090043544769287, -0.5020942091941833, 0.06440065056085587, -1.2305344343185425, -0.26799410581588745, 0.2999609708786011, 0.7781507968902588, -0.6978753209114075, -0.6251858472824097, -0.9538334012031555, 0.02969534508883953, 0.533412754535675, -1.146167278289795, 0.5368011593818665, 0.9583829641342163, -0.08939094096422195, -0.7282953858375549, 0.13744807243347168, -0.40030696988105774, 0.11315865814685822, -0.5577890276908875, -0.44566187262535095, -0.19405339658260345, 0.36927613615989685, 1.611619234085083, -0.2665460407733917, 1.329397201538086, -0.0399693064391613, 0.03648896887898445, 1.3796393871307373, 0.26803192496299744, -0.3827679753303528, -0.0031347842887043953, -1.2029615640640259, -0.0292794331908226, -0.8601301312446594, -0.09173382818698883, -0.13068243861198425, -0.371793657541275, -0.42570894956588745, -0.21436509490013123, -0.041111160069704056, 0.6445484757423401, -0.022069277241826057, -0.49513542652130127, 0.8634642362594604, 0.07448530197143555, 0.15625280141830444, -0.6917020678520203, -0.7667019367218018, 0.37714916467666626, 0.35057568550109863, -0.21029934287071228, -0.48920294642448425, 0.11393366754055023, 0.8598468899726868, -0.23937274515628815, -0.7865878343582153, -0.0895458236336708, -0.7412015795707703, 0.21514497697353363, -0.9420449733734131, 1.2146992683410645, -0.7100271582603455, 0.04925058037042618, 0.2397223711013794, 0.05914480611681938, -0.1824760138988495, 0.22212010622024536, -0.5542030334472656, 1.3275761604309082, 1.1254349946975708, 0.010153686627745628 ]
1,039
0704.1041
Steven G. Krantz
Steven G. Krantz
Higher dimensional conundra
null
null
null
AIM 2007-20
math.MG
null
We study asymptotics of various Euclidean geometric phenomena as the dimension tend to infinity.
[ { "created": "Sun, 8 Apr 2007 19:16:50 GMT", "version": "v1" } ]
2007-05-23
[ [ "Krantz", "Steven G.", "" ] ]
07
[ 0.027663014829158783, 0.21815991401672363, 0.4232982397079468, 0.424372136592865, 1.0486453771591187, -1.3178359270095825, -1.4354149103164673, 0.756571888923645, -0.543180525302887, -0.657564103603363, -0.9499093890190125, 0.19228698313236237, 0.9289485216140747, 0.5425335764884949, -1.2272650003433228, -0.7495988011360168, -0.38503867387771606, -0.6363813877105713, -1.197597861289978, -0.7378639578819275, -0.041502587497234344, 0.1807192713022232, -0.6287167072296143, -0.7622230052947998, -0.24638397991657257, -0.06838382035493851, -0.7113096714019775, 0.5009146928787231, 0.7290390729904175, 0.39760076999664307, 0.6059941053390503, 0.5078704357147217, 0.1453256756067276, 0.17762701213359833, 0.060440290719270706, 0.2815842926502228, 0.3112747371196747, 0.010033851489424706, -1.2116644382476807, 0.6044828295707703, 0.003651254577562213, 1.289526104927063, 0.1257670521736145, 0.28537261486053467, -0.24176764488220215, -0.7004796266555786, -0.18325281143188477, 0.27960851788520813, 1.1237694025039673, 0.698166012763977, -0.4291685223579407, 1.1548497676849365, 0.960679292678833, 0.6436467170715332, 0.6568287014961243, 1.0776598453521729, 0.040427953004837036, -1.1001675128936768, 0.24947519600391388, -0.9449130892753601, -0.09392114728689194, -1.1584500074386597, 0.1503494381904602, 1.847022294998169, -0.8361294269561768, -1.5165095329284668, 1.057863712310791, 0.7335778474807739, -0.2597854733467102, 0.6031274795532227, 0.38792017102241516, -0.5768728256225586, -0.6891685724258423, -0.41431403160095215, 0.17529641091823578, -0.3057600259780884, 0.40018412470817566, 1.2302849292755127, 1.0785484313964844, -0.8870483040809631, 0.49432602524757385, 0.13681155443191528, 0.004608990158885717, -0.29228484630584717, -0.16050119698047638, 1.0499069690704346, 0.4435296654701233, 0.05987958610057831, 0.7762649059295654, 0.7517474889755249, 0.6064667701721191, 0.1871367245912552, 0.5286120772361755, 0.38250163197517395, 0.3388035297393799, -1.364032506942749, 0.4397171437740326, 0.6408897638320923, -0.0682419016957283, 0.12790237367153168, -1.0656073093414307, -1.4020408391952515, -0.4289851188659668, -0.1287817806005478, 1.148180603981018, 0.4534163773059845, -0.5190172791481018, 0.5646415948867798, 0.4445129632949829, 0.31963932514190674, 0.7064424157142639, -0.4284757077693939, 0.30929136276245117, -0.48881515860557556, -2.1122353076934814, -0.8247438073158264, -0.2928106188774109, 0.8417635560035706, -0.6664634346961975, -0.11630977690219879, 0.6662845015525818, 0.1240408793091774, -0.02442416176199913, -0.4001847207546234, 0.6718637347221375, 0.6400257349014282, -0.3149981200695038, -0.6851338744163513, -0.4412044882774353, -0.23785938322544098, -0.295157253742218, -0.5542427897453308, 0.5919544696807861, 0.3000127971172333, 1.053192138671875, 0.08236297219991684, -0.6637974977493286, 0.2301146537065506, -0.13067001104354858, 0.3580734133720398, 0.46300458908081055, -0.5008626580238342, -0.06976286321878433, -0.6856492161750793, -0.40364906191825867, 0.30116477608680725, -0.856622576713562, -0.10109719634056091, -0.6554171442985535, 0.01575503498315811, -0.21536153554916382, -1.5873605012893677, 0.5664606094360352, 0.6997036337852478, 0.3413243889808655, -1.1417104005813599, -1.0032012462615967, 0.4667617976665497, 0.39197856187820435, -0.2805134057998657, 0.34107738733291626, -0.2625214457511902, 1.4523309469223022, -0.8000302314758301, -0.02539175935089588, -1.741984248161316, -0.6328258514404297, -0.22675885260105133, -0.019937757402658463, -0.09552294760942459, -1.2210618257522583, -0.11074061691761017, 0.2959340214729309, -1.274593710899353, -0.46358826756477356, 0.38852861523628235, 0.718662440776825, 0.8111767172813416, -0.6798712611198425, 0.5845308303833008, 0.7515214085578918, 0.07585941255092621, -0.5958306789398193, -0.4112689197063446, -0.053057000041007996, -0.6144018173217773, 0.7084292769432068, -0.5230959057807922, 0.9856081008911133, -0.4299575686454773, -0.2655141055583954, 0.013124042190611362, -1.3506722450256348, -0.7838630676269531, -1.2307952642440796, 1.861981749534607, 0.4624521732330322, 0.7527357339859009, -0.2521783411502838, 0.2445494532585144, 0.9175965189933777, -0.16843420267105103, 0.5095290541648865, -0.5476213693618774, -2.904968738555908, -0.2912072539329529, -0.3545844852924347, 0.1417100876569748, 0.0052964044734835625, -0.5569170713424683, -0.01106170192360878, 0.475330650806427, -0.07013456523418427, 0.09867983311414719, 0.644754946231842, -0.30382323265075684, 0.9994140863418579, -1.5331758260726929, 0.029221419245004654, -0.15772108733654022, 0.1633356809616089, 0.6461531519889832, -0.3742885887622833, 1.0603535175323486, -0.850433349609375, 0.25594547390937805, 0.3918454647064209, -0.35646283626556396, 0.8379488587379456, -1.681904673576355, -0.30970263481140137, -0.6677524447441101, -0.22780907154083252, -1.2210694551467896, -1.0448312759399414, 0.9897558689117432, -0.8738178014755249, -0.731233537197113, -0.1699683666229248, 0.29476022720336914, -0.6307021975517273, 0.7521925568580627, -0.5828741788864136, -0.4968993663787842, -0.38825806975364685, 0.6545206904411316, -0.8778553605079651, 0.20000331103801727, 0.10263975709676743, -0.36607345938682556, -0.1084684357047081, -0.4282678961753845, -0.06391873210668564, 1.1448544263839722, -0.6606854200363159, 0.9102677702903748, -0.3086875081062317, -0.9310843348503113, -0.4598333239555359, -0.7163034677505493, -0.4841129183769226, -1.2344719171524048, -0.15100064873695374, 0.3534214496612549, -1.3983324766159058, -0.5390223860740662, -0.2456720918416977, 0.8814218044281006, 1.0026775598526, -0.5048062801361084, -0.9243468642234802, 0.6854349374771118, 0.5962055325508118, 1.505096197128296, -1.6723442077636719, -1.2791064977645874, 0.1864587962627411, -0.06487130373716354, 0.735698938369751, -0.25746139883995056, -1.1774989366531372, -0.03561640903353691, -0.6138463616371155, 2.0912022590637207, 0.6028737425804138, -0.9079200625419617, -0.5481650829315186, -0.6638298630714417, -0.3351622521877289, 0.22750453650951385, 0.007094613742083311, 0.2179456651210785, -0.9797412753105164, 0.7276861071586609, -1.4443027973175049, -1.3359695672988892, -1.05070161819458, 1.1939541101455688, -0.19030794501304626, -0.7025647759437561, 0.12090983986854553, -0.07371404767036438, -0.8406415581703186, -0.2849929928779602, 0.5989022254943848, -0.5088186264038086, -1.6812219619750977, -0.6517091989517212, 0.9447962045669556, 0.874237060546875, -0.27947112917900085, -0.38409462571144104, 0.15952825546264648, -1.4477519989013672, 1.1559298038482666, -0.4997493624687195, 0.3253479301929474, -0.32382136583328247, 1.0886589288711548, 0.21940556168556213, -0.6211064457893372, 0.7878276109695435, 0.19232811033725739, 1.0805673599243164, 0.29962509870529175, -1.544321894645691, 0.04698307439684868, 0.16425931453704834, 0.5808006525039673, -2.1836934089660645, 0.002491806633770466, -0.03534546494483948, 0.7977571487426758, -0.8888182044029236, -0.5023335814476013, -0.677687406539917, -0.9960941672325134, -0.08962329477071762, 1.0518840551376343, -0.9170854091644287, -0.85589998960495, 1.1661089658737183, -0.7079864740371704, -1.1539955139160156, 0.010781959630548954, 0.2509579062461853, 0.10931189358234406, -0.9795607924461365, -0.6650086045265198, 0.10219733417034149, -0.5146116018295288, 1.1155496835708618, -0.4619695842266083, -0.5819578766822815, -0.08875492960214615, -0.8774038553237915, 0.7301025986671448, 1.244309425354004, -0.08412981033325195, 0.09642504155635834, 0.3651454746723175, 0.8551191687583923, 1.2153431177139282, -0.8372421860694885, 1.0683590173721313, -0.02839689515531063, 0.15528230369091034, 0.3311828672885895, -0.2408735305070877, -0.22843487560749054, 0.35079091787338257, -0.15205702185630798, -1.0382704734802246, -1.3675389289855957, -0.4665603041648865, -0.6112473011016846, 0.28328487277030945, 0.5218462944030762, 0.2594016194343567, 0.16959194839000702, 0.1711578518152237, -0.3166210949420929, 0.8367189764976501, -0.6421945691108704, 0.09694500267505646, 0.21558445692062378, -0.27649059891700745, -0.6813623905181885, -0.9276961088180542, -0.32067441940307617, 1.0881000757217407, 0.16349786520004272, 0.5976981520652771, 0.09978380799293518, 0.29617220163345337, 0.40339285135269165, -0.11132586747407913, 0.10277744382619858, 0.7399573922157288, 1.047367811203003, 0.7896871566772461, 0.39156728982925415, -0.945332944393158, -0.5212672352790833, -0.20194405317306519, -0.9006485939025879, 0.6076063513755798, -0.004623087588697672, 0.003342530457302928, -0.7962033748626709, -0.14192545413970947, 1.7645182609558105, -0.7140759825706482, 1.18239164352417, 0.826130747795105, -1.1546990871429443, -0.600684404373169, 0.13711415231227875, 0.7436940670013428, -0.5859703421592712, 0.5970031023025513, 0.1869339942932129, 0.7703847885131836, 0.8341634273529053, 0.11208143085241318, -0.22465680539608002, -0.34354862570762634, 0.39861631393432617, -0.4682833254337311, -0.14194363355636597, -0.4897709786891937, -0.9143478870391846, 0.4125188887119293, -0.3579712212085724, -0.007776820100843906, 0.40415680408477783, -0.001800295663997531, 0.3057793080806732, 0.29503098130226135, -0.48487502336502075, -1.0822383165359497, 0.3500415086746216, -0.24922998249530792, 0.23803038895130157, -0.6438812613487244, -0.4681193232536316, -0.33650368452072144, 1.7932331562042236, 0.2702791690826416, -1.0376940965652466, -0.33143940567970276, 0.953799843788147, 0.7620968818664551, 0.5418314337730408, 0.7415329813957214, -1.1618956327438354, 0.7656208276748657, 0.8967951536178589, 0.24685801565647125, -0.14344176650047302, -0.9878301024436951, -0.16555553674697876, -0.06827667355537415, -1.5020924806594849, 0.31676414608955383, -0.3108665943145752, 0.15752333402633667, -0.6214577555656433, 0.050731025636196136, 0.7305724024772644, -0.17979580163955688, -0.5724881887435913, -0.13632529973983765, -0.3144242465496063, 0.4718564450740814, -0.11861637979745865, -0.7707189321517944, -0.22753280401229858, 0.6077134013175964, 1.5055959224700928, 0.5995473265647888, 1.0344001054763794, 1.1361122131347656, 0.775672972202301, -0.3886317312717438, -0.5342786312103271, -0.3377554416656494, 0.626941978931427, -0.8990722894668579, 1.1407231092453003, -0.15420570969581604, -0.4740988612174988, -0.2881721556186676, -0.841831624507904, -0.7935425639152527, -0.049082960933446884, 0.10763703286647797, 0.72519451379776, -0.27028951048851013, 0.30586087703704834, 0.059834256768226624, -0.6853358149528503, -0.31387659907341003, -1.2807410955429077, -0.9903079271316528, 1.101721167564392, -0.6541508436203003, 0.6911575198173523, -0.12031970918178558, 0.35186126828193665, 0.02307242341339588, -0.79715895652771, 0.38464415073394775, 0.8769046068191528, 1.4225388765335083, 1.4275274276733398, -0.396654337644577, -1.6442071199417114, -0.5577321648597717, 0.5090811252593994, -1.4823015928268433, -0.023238176479935646, -0.6929296851158142, -1.1696199178695679, -0.6750794649124146, 0.11505626887083054, -0.7125512361526489, 0.09658452123403549, -0.36157116293907166, 1.3458853960037231, -0.36777839064598083, 0.19620366394519806, 0.1240883395075798, -1.1305721998214722, 0.7176417708396912, -1.004385232925415, -0.644689679145813, -0.1432400792837143, 0.6311917304992676, 0.1164015531539917, 0.5256786346435547, 0.751136302947998, -0.3969182074069977, 0.16801150143146515, 0.5915126204490662, 0.09083404392004013, 0.6078888177871704, 0.3771332800388336, 0.28695255517959595, -0.20472989976406097, 1.0186803340911865, -0.1082184761762619, 1.4118651151657104, 0.2982275187969208, -0.7763140201568604, -0.36166369915008545, -7.566043376922607, 0.7145739793777466, -0.4095410704612732, 0.27746886014938354, 0.8503237962722778, -0.23793675005435944, 0.010911839082837105, -0.08421265333890915, 0.7078034281730652, -0.24773798882961273, -0.719610869884491, 0.6742488741874695, -1.8140441179275513, 0.03885267674922943, 1.5010606050491333, -0.3985678255558014, 0.5303077697753906, 0.05151395499706268, -1.3431872129440308, -0.27602800726890564, -0.5787732005119324, -0.13547487556934357, 0.23514370620250702, -0.18078875541687012, 1.9387949705123901, -0.9004126787185669, -0.7573940753936768, -1.1017165184020996, -0.5371807813644409, -0.011379798874258995, 0.5029277801513672, -0.13539786636829376, -0.3282409906387329, 0.9838480949401855, -0.44555753469467163, -0.36725544929504395, -0.08639541268348694, 0.5924549698829651, -0.5393248796463013, -0.8946413993835449, 0.6562175154685974, -0.19829382002353668, -0.15818031132221222, -0.7426548004150391, 0.30980661511421204, 0.17815133929252625, -0.07055801153182983, 1.7648298740386963, -1.054967999458313, -0.2415531426668167, -0.9866766929626465, 0.3646456301212311, 0.21206632256507874, 1.0418843030929565, 0.33060625195503235, 0.5694646835327148, -1.1028339862823486, -0.6086145639419556, 0.2860200107097626, -0.16136400401592255, -0.6165215373039246, -0.6852990984916687, -1.147650957107544, -0.04617852717638016, -0.6933454275131226, 1.5264091491699219, 0.5146070122718811, 0.4367643892765045, -0.1163271963596344, 0.3876116871833801, -0.9525021314620972, 0.08215460181236267, -0.07009699195623398, 0.24021731317043304, -0.8792866468429565, -0.06241290271282196, -0.5956984758377075, -0.02719581313431263, 1.0256189107894897, -0.2733096778392792, 0.8033554553985596, -0.36943355202674866, -0.1774546355009079, 0.7648712396621704, -0.9160745739936829, 0.5889478325843811, 0.07833673804998398, -0.4213793873786926, -0.4848611354827881, -0.414567232131958, -1.3561782836914062, -0.5353104472160339, 0.027523601427674294, -0.9869669079780579, 0.7701218724250793, -0.44619104266166687, -0.7207397222518921, -0.6010177135467529, -0.11301474273204803, -0.45707231760025024, 0.5279492735862732, -0.4239247441291809, -0.1305447518825531, -0.1532779037952423, 0.7953329086303711, 1.6576629877090454, -0.5109592080116272, 0.2585729956626892, 0.7759630084037781, -0.9216204881668091, 0.061643291264772415, 1.4280415773391724, 0.49901270866394043, 0.5139638185501099, -0.21421825885772705, 0.3621082007884979, 0.1652422845363617, 1.714843988418579, -1.2801780700683594, -1.0760529041290283, -1.7944234609603882, 0.8206591010093689, -0.27039656043052673, 0.34142667055130005, -0.140882208943367, -0.6166202425956726, -2.2988390922546387, 0.52543044090271, -0.5658189654350281, 0.20745044946670532, -0.6687236428260803, 0.1610170155763626, -1.0766113996505737, 0.38578349351882935, -0.19193975627422333, 1.167506217956543, 0.46746477484703064, -0.14254029095172882, -0.8776925802230835, -0.717235267162323, 1.4750597476959229, 1.1317598819732666, -1.1051552295684814, 0.251268595457077, -0.23949751257896423, -0.2978017330169678, -0.5719062089920044, 0.5884888768196106, -0.4903126060962677, 0.08924737572669983, -0.10664982348680496, -0.3914119005203247, 1.5812482833862305, 0.10965722054243088, -0.20026379823684692, -0.8114534020423889, -0.6448032259941101, -0.14196772873401642, 0.15247666835784912, 0.17472054064273834, 0.24298329651355743, -0.8019669651985168, 0.8086190819740295, 1.6633044481277466, 0.933127760887146, 0.23548172414302826, 0.9139091968536377, -0.03465607017278671, 0.8741621971130371, -0.8438926935195923, 0.13850480318069458, -0.16597892343997955, 0.4881213903427124, -0.8330000042915344, -0.3949469029903412, -0.3853982985019684, -0.8717861771583557, 0.9833740592002869, -0.43214088678359985, -0.8054011464118958, 0.06096829101443291, 1.563401699066162, 0.008946659974753857, 0.2447090744972229, -0.2572782039642334, 1.1694660186767578, -0.8978817462921143, 2.1341710090637207, 0.821095883846283, 1.32350492477417, 0.30110645294189453, -0.4247645139694214, -2.421334981918335, -0.14352811872959137, -1.4796169996261597, 0.1911376714706421, -0.9648523330688477, -0.44746315479278564, 0.5953546166419983, -0.27880313992500305, 0.46968716382980347, 0.4179542660713196, 1.195986032485962, 0.291117787361145, 0.5678694844245911, 0.1973150074481964, -0.10731223225593567, -0.04748823866248131, -0.4448387026786804, 0.27625179290771484, -0.11411137133836746, 0.12229695171117783 ]
1,040
0704.1042
Berry Groisman
Berry Groisman
Entangling and disentangling capacities of nonlocal maps
6 pages, 3 figures
null
null
null
quant-ph
null
Entangling and disentangling capacities are the key manifestation of the nonlocal content of a quantum operation. A lot of effort has been put recently into investigating (dis)entangling capacities of unitary operations, but very little is known about capacities of non-unitary operations. Here we investigate (dis)entangling capacities of unital CPTP maps acting on two qubits.
[ { "created": "Sun, 8 Apr 2007 19:35:24 GMT", "version": "v1" } ]
2007-05-23
[ [ "Groisman", "Berry", "" ] ]
07
[ -0.1620403528213501, 0.1107407957315445, 0.7611016631126404, 0.46962159872055054, -0.2192523032426834, 0.05307988449931145, -0.004057727288454771, -0.7621936798095703, -1.3653236627578735, -0.5849043726921082, 0.19259420037269592, 0.5363514423370361, 1.6829007863998413, -0.09951433539390564, -1.2741879224777222, -0.79709392786026, -0.09612659364938736, -0.5591862797737122, -0.46151551604270935, -0.7971141338348389, 0.3844231367111206, -0.2412724792957306, -1.015020489692688, -0.17696146667003632, -0.042448557913303375, 1.7026294469833374, -0.017813241109251976, 0.33382534980773926, -0.3944341242313385, 0.019173825159668922, -0.33249467611312866, -0.07098324596881866, -0.0027218281757086515, -0.7449491024017334, 0.8417148590087891, -0.3144890367984772, -0.5453677773475647, -0.7664872407913208, -0.9616740345954895, 0.4510928690433502, -0.3468268811702728, 0.24327149987220764, -0.7738752961158752, -0.3706820011138916, -1.4161934852600098, 0.7077078819274902, -0.03191393241286278, 1.1899772882461548, -0.2848065197467804, 0.6815874576568604, -0.6821997761726379, -1.1379470825195312, -1.3058991432189941, -0.849483847618103, -0.0033818786032497883, 0.00810206588357687, -0.7203719615936279, -0.08320153504610062, -1.4681628942489624, 0.08268687129020691, 0.10402373224496841, -0.7170644998550415, 0.07135235518217087, -0.8364226222038269, -0.18184314668178558, -0.06189214810729027, 0.5647487044334412, 1.170214056968689, -0.3524462878704071, 0.7848225235939026, 0.16504159569740295, 0.021663326770067215, -0.9433345794677734, -0.4501084089279175, 1.0593255758285522, -0.0018796107033267617, 0.1839572638273239, -0.16230811178684235, 0.599097490310669, 0.4557425379753113, 1.7110731601715088, 1.4544821977615356, -0.6508408188819885, -0.6523521542549133, -0.7523866295814514, -0.32411324977874756, -0.811735987663269, 0.11237189918756485, -1.3194717168807983, 1.6900789737701416, -1.1524603366851807, -0.40179014205932617, 0.43450814485549927, -0.8373318910598755, 0.14094743132591248, -0.23398509621620178, 0.33066925406455994, -0.21819937229156494, 0.7078084349632263, -0.4186674952507019, 0.12140186131000519, 0.6060449481010437, -0.1290934532880783, 0.6984738707542419, -1.0117378234863281, 0.3964056074619293, 0.04023737832903862, -0.2594025135040283, -0.024651046842336655, -0.2489919364452362, 0.2653990089893341, -2.0197038650512695, 0.3614908754825592, 0.38880154490470886, -0.6150264143943787, 0.4019797146320343, 0.5888277888298035, -0.06313800066709518, -0.9051374793052673, 0.7343296408653259, 0.3511452376842499, -0.6854035258293152, 0.6951369047164917, 0.5159215331077576, 0.1898173689842224, -0.2448836714029312, 0.3781161904335022, 0.3023570477962494, -0.23398028314113617, -0.42361608147621155, 0.07822493463754654, -0.20511357486248016, 0.2285768687725067, 0.2520071566104889, -0.25233981013298035, -0.5575898289680481, -1.161362886428833, 0.2621386647224426, -0.312032550573349, 0.49976807832717896, -0.18892687559127808, 0.38563889265060425, -0.7511124610900879, -0.5671963095664978, -0.773840069770813, 0.572901725769043, -0.21278250217437744, 1.192724347114563, 0.006052977405488491, -0.11741503328084946, 0.2991870641708374, 0.24915996193885803, -0.5256322026252747, -1.280829668045044, 0.3569674789905548, -1.0970152616500854, -0.12018503993749619, 1.7411035299301147, -0.9165118932723999, -0.668079674243927, 0.29128891229629517, 0.2196381688117981, 0.8244836330413818, 1.0669912099838257, -0.4180477261543274, -0.16419769823551178, -0.6144481897354126, -0.40954363346099854, -0.07021923363208771, -1.5456987619400024, 0.268459677696228, -0.572335958480835, -0.3367699980735779, 1.0091158151626587, 0.024001535028219223, -0.9507749080657959, 0.9412389397621155, 0.22747614979743958, 0.14538903534412384, 1.2776156663894653, -0.3843369781970978, -1.5238604545593262, -1.148888349533081, -0.40276557207107544, 0.07050827890634537, -0.6158815026283264, 0.7515907883644104, 0.43615052103996277, -0.9322355389595032, 0.6015774607658386, -0.4727233946323395, -0.9748590588569641, -1.859705924987793, -0.490529328584671, -0.06314074248075485, -0.019108301028609276, -0.27720126509666443, 0.47507503628730774, -0.18191812932491302, 0.957281768321991, -0.5048055648803711, -0.6201544404029846, 0.24010413885116577, 0.6647697687149048, -0.19433361291885376, 1.1915929317474365, 0.3970625102519989, 0.47300782799720764, 0.15504145622253418, -0.707025408744812, -0.12513074278831482, -0.2483527958393097, -0.006117698736488819, 1.1577653884887695, -0.6679985523223877, 0.6292715072631836, 0.3052152991294861, 0.22511693835258484, -0.2469731718301773, 1.7371826171875, -1.054495096206665, 1.357412338256836, 0.27493730187416077, -0.9773122072219849, 0.041883014142513275, 0.5978648662567139, 0.12996706366539001, 1.4821513891220093, 0.3877706825733185, -0.5335972309112549, -0.39721745252609253, -0.09001199901103973, 0.03360400348901749, -0.2832919657230377, 1.1956052780151367, -0.5553403496742249, -0.4623858332633972, -0.41680434346199036, -0.02576456218957901, 1.7185662984848022, -0.22988228499889374, 0.18692493438720703, -1.4717788696289062, -0.7921285629272461, -0.2380298525094986, 0.1035403162240982, 0.2342330515384674, 0.23185303807258606, -0.04452543705701828, 0.12667600810527802, -0.44655168056488037, 0.15192367136478424, 0.11727020889520645, 0.6095958352088928, -1.097863793373108, 0.0020420385990291834, 0.532532811164856, 1.054202675819397, -1.1327128410339355, -0.5173019766807556, 0.07937061786651611, -0.7401430010795593, 0.6585306525230408, 0.29073819518089294, -0.3725975751876831, -1.0647828578948975, 0.4307774603366852, -0.15655727684497833, 1.1342153549194336, -0.160430908203125, -0.6202358603477478, 0.6391294598579407, 0.4242395758628845, -0.04902596399188042, 1.205910325050354, -0.3615025579929352, -0.07407154887914658, 0.2324729561805725, -0.11804255843162537, -0.6639989018440247, -0.508283793926239, 0.24631176888942719, -0.46247485280036926, 0.18260860443115234, -0.8680895566940308, -0.30702707171440125, -0.5718611478805542, 0.20340684056282043, 0.2087734490633011, -0.2063046246767044, 0.5647079944610596, 0.3093392848968506, -0.6048550009727478, 0.8569278120994568, -0.965634286403656, -1.0717828273773193, 0.07260974496603012, 0.6024897694587708, 0.07451007515192032, -0.19948069751262665, -0.7205626368522644, -0.18420849740505219, 0.010180576704442501, 0.02103498950600624, 0.6512027978897095, -0.623892068862915, -0.23052413761615753, -0.5206004977226257, 1.0586211681365967, 0.6295193433761597, 0.042374998331069946, -0.8667818903923035, 0.4803069829940796, -1.1020927429199219, 0.49593043327331543, 0.03580453619360924, -0.24103128910064697, -0.3921140432357788, -0.7902171611785889, -1.3710867166519165, 1.1515449285507202, 1.0213834047317505, 0.7072481513023376, 0.5736448168754578, -0.31255215406417847, -0.7563420534133911, -1.1115198135375977, -1.1647725105285645, 0.3352779150009155, -0.7676923871040344, 0.6134797930717468, 0.7637200355529785, 0.2772264778614044, -0.2906041443347931, 0.4931659698486328, -0.6429986357688904, -0.2445945292711258, -0.09275152534246445, 0.738929033279419, -0.32099685072898865, -0.04268542677164078, 0.00532106077298522, 0.16786044836044312, 0.33869612216949463, 0.022768275812268257, 0.4778314232826233, -1.0758953094482422, 0.018768316134810448, 0.21912497282028198, 0.1831585317850113, 0.9303845763206482, -0.020892951637506485, 0.6583380699157715, 0.6272636651992798, 1.00869882106781, 0.09503550827503204, 0.6214526295661926, 1.3061673641204834, -0.40123048424720764, 0.3453672230243683, 1.0577473640441895, -0.22221317887306213, -0.26244187355041504, -0.7558954358100891, 0.3451746702194214, 0.07196187227964401, -1.3497599363327026, -0.7144187092781067, -0.8955531716346741, -0.15855583548545837, -0.5125213861465454, -0.7775465250015259, 0.903147280216217, -0.7291941046714783, -0.2928473651409149, -1.0211637020111084, -1.1022586822509766, -0.9943028092384338, 0.8087950944900513, -0.5569228529930115, 1.1209529638290405, 0.8412854075431824, 0.875390887260437, -0.5251139998435974, 0.5329583883285522, 0.9909033179283142, 1.1922045946121216, 0.24398517608642578, -1.1826287508010864, -0.07342611253261566, -0.1391754448413849, -0.1628263145685196, 0.41139549016952515, -0.21612510085105896, -1.709735631942749, -0.27601465582847595, 0.7134891748428345, -0.6553511023521423, -0.5868822336196899, 0.3173385262489319, 0.2813398838043213, 0.42101866006851196, -0.6635401248931885, -0.8820905089378357, 0.6941771507263184, -0.5431164503097534, 0.9784773588180542, -0.4580497443675995, -0.6831223964691162, -0.3071434795856476, 0.4497867524623871, -0.08368267863988876, 0.2596912682056427, 0.3935500681400299, 1.101740837097168, -0.8744872808456421, -1.3398561477661133, 1.0279842615127563, 0.5456544160842896, -1.027260661125183, -0.07940804213285446, -0.10312854498624802, -0.1683252453804016, 0.8901998400688171, 0.06015107035636902, -0.27276280522346497, -0.07032851129770279, -0.08992256969213486, -0.7189680933952332, -0.54612135887146, -0.3412154018878937, -0.27147066593170166, 0.8692042827606201, 1.2745873928070068, -0.5775225162506104, 1.0200937986373901, -0.5406231880187988, -0.22619621455669403, 0.48565253615379333, -1.2863798141479492, 0.29174333810806274, 0.13590595126152039, -0.21459025144577026, -0.00838534813374281, 0.6237872242927551, -1.4742335081100464, -0.8085998296737671, 0.07317988574504852, 0.01996646262705326, -0.6281497478485107, 0.6859093308448792, 1.5148537158966064, -0.3979826271533966, -1.844420075416565, 0.5809798240661621, -1.943291187286377, -0.9186931848526001, 1.500341773033142, -0.0676586702466011, -0.2653587758541107, -0.3860315680503845, -1.0038126707077026, 1.3537354469299316, -1.5389070510864258, 0.39514604210853577, 0.3808688521385193, 1.2846763134002686, 0.4806087613105774, -0.12532910704612732, 1.8136900663375854, 0.2504448890686035, -0.725337028503418, -0.7025150656700134, -0.48351287841796875, -0.0643588975071907, -0.7511555552482605, -1.0229337215423584, 0.6581637859344482, 0.07766495645046234, 1.843300461769104, 0.722274124622345, 0.8096577525138855, -0.6422876715660095, -0.07943274080753326, 0.33655187487602234, 0.3930148482322693, -0.21325154602527618, 0.3152441680431366, 0.17891360819339752, 0.27205321192741394, 0.5110524892807007, 1.1262918710708618, 0.4624928832054138, 0.7439819574356079, 0.3422330915927887, -0.06363805383443832, -0.41915759444236755, -0.7818349003791809, 0.3718563914299011, -0.09303456544876099, 0.3481265902519226, -0.17007587850093842, -0.07039931416511536, -0.6405969858169556, -1.1632342338562012, 0.859524130821228, 1.2437492609024048, -0.20787017047405243, -0.5358403325080872, 0.5111673474311829, -1.2817994356155396, -0.9971505999565125, -0.3012301027774811, -0.7812135815620422, 0.8071298599243164, -0.09168308228254318, -0.8912148475646973, -2.586000442504883, 0.35923442244529724, 0.31867843866348267, 0.28516915440559387, 0.04250160604715347, 0.22552135586738586, 0.16189807653427124, -0.7304805517196655, 0.0922607034444809, 1.548549771308899, -0.055776484310626984, -0.722687840461731, -1.0902754068374634, -0.17093372344970703, -0.06001083925366402, 0.1906217336654663, 0.9526250958442688, 0.13593196868896484, 0.39164674282073975, -0.6778539419174194, -0.6169956922531128, -0.045152999460697174, 0.2454037368297577, -0.36873671412467957, -0.374125212430954, 0.2118106633424759, -0.05791138485074043, -0.40877383947372437, 0.39063769578933716, -0.1391625553369522, 0.05364644154906273, -0.30373910069465637, -0.08662417531013489, 0.09002236276865005, -0.29713329672813416, 0.4058062434196472, -0.06735587120056152, -0.5643631219863892, -0.2919138967990875, -8.39557933807373, 1.2765380144119263, -0.6967757940292358, -0.7586193680763245, 0.40817663073539734, -0.5867127180099487, 0.548408567905426, 0.27644550800323486, -0.44697752594947815, -0.2728802561759949, -0.09551747888326645, -0.025421852245926857, 0.5627813339233398, -0.3195765018463135, 0.10552781075239182, -1.2191725969314575, 0.03993583843111992, 0.7444360852241516, 0.7505899667739868, 0.6553951501846313, -1.2566282749176025, -0.8469259738922119, -0.49020031094551086, 0.33342811465263367, 0.5694438219070435, -1.6772829294204712, -0.28961652517318726, 0.1656493991613388, -0.29655271768569946, -0.16270264983177185, 0.13896089792251587, 1.5664211511611938, -0.4943334460258484, 0.8602008819580078, 0.8061477541923523, -0.26607248187065125, 1.0078030824661255, 0.7140250205993652, -0.8310001492500305, -1.0129899978637695, 0.6244767308235168, -0.6183923482894897, 0.0734059289097786, -0.6509653329849243, -0.4491828680038452, 0.0646069198846817, -0.11382465809583664, -1.1294397115707397, -0.25672510266304016, -0.4510553479194641, 1.4621471166610718, 0.8800140619277954, 0.26508188247680664, -1.017762303352356, 1.0375992059707642, -0.6133244633674622, -0.3617247939109802, -0.2842378318309784, -0.1107630729675293, -0.11298946291208267, 0.24529455602169037, -1.507885217666626, 1.0525723695755005, -0.11198041588068008, 0.7474148273468018, -0.29974737763404846, -0.5935962796211243, -0.6350023150444031, 0.5615214705467224, 1.2095589637756348, -0.7860545516014099, -0.8089722394943237, 0.7301685214042664, -0.15533937513828278, 0.4558166265487671, -0.405485063791275, -0.9819900393486023, 0.5074725151062012, -0.6747956275939941, -0.8783387541770935, -0.5161371231079102, 1.5058906078338623, -0.5852419137954712, 0.23119747638702393, 0.717136561870575, -0.3842931091785431, -0.49992722272872925, -1.817003607749939, 0.22520752251148224, 0.1732129156589508, 0.3855522871017456, 1.307729721069336, -0.5152117609977722, 0.48135262727737427, 0.36330562829971313, 0.4633398950099945, 1.4332265853881836, -0.40932169556617737, -0.3169904053211212, 0.2557053864002228, -1.2420457601547241, 0.18469932675361633, 1.6580827236175537, -0.4364679455757141, -0.4503959119319916, 0.48129940032958984, -0.35012176632881165, 1.7012274265289307, 0.026369942352175713, -0.6281620860099792, 0.07105518132448196, -0.51505047082901, -1.8044989109039307, -1.0886884927749634, 0.7166013121604919, 1.4754209518432617, 0.4481070041656494, 0.13777433335781097, -1.0011305809020996, -1.5192734003067017, -0.2718283534049988, 0.06758101284503937, 0.45238837599754333, 1.047422170639038, 0.18300125002861023, -0.5818406939506531, -0.2655605375766754, 0.11225280165672302, -0.0973600298166275, -0.37666863203048706, -0.3043210208415985, 0.34672120213508606, 0.6779733300209045, -0.9152437448501587, -0.5247873067855835, -0.8116053938865662, -0.46334221959114075, 0.8862296342849731, -0.7394283413887024, 0.8249444961547852, 1.7785738706588745, 1.2290879487991333, -0.5400964021682739, 0.6283788681030273, -0.18071764707565308, 0.436914324760437, 0.3523603081703186, 0.1441739946603775, 1.0923956632614136, -0.3932977616786957, 0.7703715562820435, -0.11497332900762558, 0.0778149664402008, 0.4943074882030487, -0.19881737232208252, -0.16129614412784576, -1.1086493730545044, 0.8577714562416077, -1.5456490516662598, -0.3623797595500946, 0.1900671273469925, 0.3459509611129761, 0.9523065686225891, 1.406583309173584, 0.5035340785980225, -1.8889859914779663, -0.6637837290763855, -1.2751072645187378, 0.8533868789672852, -0.4370594322681427, -0.1582411825656891, -0.8739959001541138, 0.9194519519805908, 0.6786365509033203, -0.2463688999414444, -0.6384312510490417, -1.2825430631637573, -0.38663795590400696, 0.04498365893959999, -2.1466593742370605, 0.43641966581344604, -0.5275340676307678, 0.503826379776001, 0.9098641276359558, -0.3920864462852478, 1.0332530736923218, 0.6925591230392456, 0.746210515499115, 0.7219798564910889, -0.3778727054595947, -0.21966826915740967, 0.6762176156044006, -0.4239172339439392, -0.06901737302541733, 1.3471977710723877, -0.5649107098579407, 0.3136737048625946, -0.23366519808769226, -0.011140202172100544, 0.22675098478794098, -0.66795814037323, -0.6142281293869019, 0.41654080152511597, 0.3391554057598114, 0.4733901023864746, -0.18634220957756042, 0.14800088107585907, 0.2720981240272522, -1.3528796434402466, 0.14225144684314728, 0.2617371380329132, -0.12782546877861023 ]
1,041
0704.1043
Hector Zenil
Jean-Paul Delahaye and Hector Zenil
On the Kolmogorov-Chaitin Complexity for short sequences
21 pages. Paper webpage: http://www.mathrix.org/experimentalAIT/
null
null
null
cs.CC cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A drawback of Kolmogorov-Chaitin complexity (K) as a function from s to the shortest program producing s is its noncomputability which limits its range of applicability. Moreover, when strings are short, the dependence of K on a particular universal Turing machine U can be arbitrary. In practice one can approximate it by computable compression methods. However, such compression methods do not always provide meaningful approximations--for strings shorter, for example, than typical compiler lengths. In this paper we suggest an empirical approach to overcome this difficulty and to obtain a stable definition of the Kolmogorov-Chaitin complexity for short sequences. Additionally, a correlation in terms of distribution frequencies was found across the output of two models of abstract machines, namely unidimensional cellular automata and deterministic Turing machine.
[ { "created": "Sun, 8 Apr 2007 20:01:47 GMT", "version": "v1" }, { "created": "Thu, 19 Apr 2007 13:00:55 GMT", "version": "v2" }, { "created": "Wed, 30 May 2007 10:16:36 GMT", "version": "v3" }, { "created": "Tue, 1 Jun 2010 20:03:20 GMT", "version": "v4" }, { "created": "Fri, 17 Dec 2010 01:36:26 GMT", "version": "v5" } ]
2010-12-20
[ [ "Delahaye", "Jean-Paul", "" ], [ "Zenil", "Hector", "" ] ]
07
[ -0.39184868335723877, 0.3823380470275879, 0.6420490741729736, 0.4011033773422241, -0.13143187761306763, -0.13812780380249023, -0.18526673316955566, 0.7270901799201965, -0.11633676290512085, -0.5897465944290161, 0.2670718729496002, 0.8803202509880066, 1.5804126262664795, -0.7513642311096191, -0.29724007844924927, -1.0338681936264038, -1.1583733558654785, -1.106865644454956, -0.626472532749176, -2.412219524383545, -0.862675130367279, -0.045967355370521545, -0.6165730357170105, -0.26040440797805786, -0.8039766550064087, 1.6007781028747559, -0.1679685115814209, 0.8187618255615234, 0.2783432602882385, -0.4409390985965729, 0.7126229405403137, -0.017745167016983032, 0.0406414270401001, 0.1516738384962082, -0.01806776225566864, -0.264535129070282, 1.0118091106414795, 0.05112391710281372, -0.866886556148529, 0.808060348033905, -0.1119881123304367, 0.08405143767595291, 0.26967230439186096, 0.01448025181889534, -0.345375657081604, -0.3975571095943451, 0.27378904819488525, -0.011813216842710972, 0.32623499631881714, 0.4079265594482422, -0.22500337660312653, 0.5448413491249084, 0.8814717531204224, -0.6262711882591248, 0.051582373678684235, 1.0258909463882446, 0.07259510457515717, -0.8939141631126404, -0.42707666754722595, -0.698012113571167, -0.22612881660461426, -0.04804033786058426, 0.29347869753837585, 1.1470662355422974, -0.4649859070777893, 0.7040955424308777, 0.7366448044776917, 0.8384536504745483, 1.1314905881881714, 0.43262556195259094, 0.23592284321784973, -0.6135916113853455, 0.3654089868068695, 1.156919002532959, -0.13041247427463531, 0.4675385057926178, -0.34532201290130615, 0.24286001920700073, 0.8627604246139526, -0.07635436952114105, 0.3460415005683899, 0.9630379676818848, -0.9104052186012268, -0.08083797246217728, -0.7948369383811951, -0.5133751034736633, -0.583532989025116, 0.6916871666908264, -1.5284558534622192, 0.7085939049720764, -1.2416274547576904, -0.5124394297599792, 0.09323127567768097, -0.377180278301239, -0.22376053035259247, -0.7728279232978821, 0.27210891246795654, 1.8527909517288208, 0.008778976276516914, -0.12154553085565567, -0.29900646209716797, -0.657774806022644, -0.12139757722616196, 0.16561469435691833, 0.2997499704360962, 0.3258647620677948, -0.07765097916126251, -0.7237078547477722, -0.6002563238143921, -0.08231715112924576, 0.6940958499908447, -0.32030269503593445, 0.38213515281677246, 1.1741660833358765, -1.14552903175354, 0.5795517563819885, 0.12650753557682037, -0.5087239742279053, 0.6764642000198364, 0.10251805931329727, -0.6317134499549866, 0.988023042678833, 0.0004928014241158962, -0.7713184356689453, -0.24689610302448273, 0.17516280710697174, 0.48469090461730957, -0.32410478591918945, -0.4933076500892639, -0.45247918367385864, -0.4841758608818054, -0.8799140453338623, 0.009790063835680485, -1.3066496849060059, -0.7082176804542542, 0.13223843276500702, -0.3428785502910614, 0.11113492399454117, 0.7272248864173889, 1.4008009433746338, 0.8443623781204224, -0.6733716726303101, 0.11185041069984436, -0.6996310949325562, 0.1382681429386139, -0.06045493856072426, -0.9702875018119812, -0.7206674814224243, 0.8625621199607849, -0.7498855590820312, -1.1748472452163696, 0.3464649021625519, 0.1754172444343567, 0.40994006395339966, 0.5182598233222961, 0.14785932004451752, -0.2131771594285965, 0.4210755527019501, 0.44552358984947205, 0.35381683707237244, 0.754627525806427, 0.282871276140213, 1.6217533349990845, -0.4771493673324585, -1.0143482685089111, -0.8770357966423035, -0.4144928753376007, 0.7581052780151367, 0.36223071813583374, -1.278151035308838, 0.08398129791021347, 0.411448210477829, 1.2558801174163818, 0.997970461845398, 0.7399886846542358, 1.005478858947754, 0.5679299235343933, 0.7608482241630554, -0.33417731523513794, 0.8697813749313354, -1.0105363130569458, 0.7904168367385864, 0.061933375895023346, -0.2176056206226349, 0.18619419634342194, -0.30374449491500854, -0.38624924421310425, 0.3996504247188568, -0.76578289270401, -0.7751624584197998, -0.7837932705879211, -1.1838287115097046, -1.0991907119750977, 0.2573261260986328, -0.5307717323303223, 1.379349946975708, 0.3899248540401459, 0.34191733598709106, -0.5634568333625793, 0.004223683383315802, 1.016104817390442, -0.30019935965538025, -0.18215198814868927, -0.5954527258872986, -0.7391060590744019, 0.0034146150574088097, -0.16047440469264984, -0.3081555664539337, -0.7824909687042236, 0.1323859840631485, 0.33202818036079407, 0.26457902789115906, -1.2087531089782715, -0.09183669090270996, 0.4163273274898529, -0.20587414503097534, 0.47979745268821716, 0.2297022044658661, 0.08214730769395828, 0.34621384739875793, 0.399960994720459, 0.5121510028839111, -0.06498710811138153, -0.3428107798099518, 0.8161320090293884, -0.4209563136100769, 0.5260772109031677, -0.10643241554498672, -0.028383128345012665, -0.06736049056053162, 0.7260880470275879, -0.038876570761203766, -1.2669315338134766, -0.03197372332215309, 0.09777650982141495, 0.057210296392440796, 0.3770204186439514, -0.9227277636528015, 0.7848989963531494, 0.43734896183013916, -0.7438258528709412, 1.4255316257476807, -0.7943190932273865, 0.16781653463840485, 0.12546749413013458, -0.7609729766845703, 0.8902855515480042, 0.11509709805250168, -0.02782747521996498, 0.03723180666565895, 0.2558140754699707, -0.16844451427459717, 0.21750682592391968, 0.00017513106286060065, -0.19612331688404083, 0.15651531517505646, 0.23923848569393158, -0.8685287237167358, 0.9239441752433777, -0.9632737636566162, -0.5641067028045654, -0.14688719809055328, -0.533299446105957, 1.2037200927734375, -0.3254477083683014, -0.8565979599952698, -0.02122841216623783, 0.12704506516456604, -0.08503575623035431, 0.030088813975453377, -1.2192856073379517, -0.9805391430854797, 0.026017410680651665, 0.8547388911247253, -0.09623303264379501, -0.760320246219635, 0.09963271021842957, -0.7554913759231567, -0.1333860456943512, -0.6407523155212402, -0.9524629712104797, 1.0161079168319702, 0.03513717278838158, 0.004315823316574097, 0.41761139035224915, -1.6085413694381714, -1.2646442651748657, 1.6368557214736938, 0.620492160320282, -1.0514616966247559, 0.1363789588212967, 0.2193749099969864, 0.45731061697006226, 1.034375786781311, -0.5194600820541382, -0.3093690872192383, -1.1779693365097046, 0.3566890358924866, -0.5512419939041138, -0.5738409757614136, -0.9963576793670654, 0.5165671706199646, -0.65523362159729, 1.0439326763153076, 1.7575562000274658, -0.24630604684352875, -2.033461093902588, -0.30850645899772644, -0.4567908048629761, 0.16057652235031128, 1.1623643636703491, -0.6556681990623474, 0.1933424025774002, 0.06910843402147293, -0.10050532221794128, -0.3710020184516907, 0.3198174834251404, 0.3432522416114807, 0.35033106803894043, -0.9125017523765564, -0.6122184991836548, 0.5360074043273926, 1.4579708576202393, 0.562511682510376, 0.10201898217201233, -1.6397993564605713, -0.7957054972648621, -0.7780946493148804, 0.2203563153743744, -1.1348817348480225, 0.46399927139282227, 1.525427222251892, -0.9025285840034485, -0.43962931632995605, -1.0918710231781006, -0.6126924753189087, 0.42710745334625244, -0.33328959345817566, 0.6019280552864075, -0.6382539868354797, 0.34330105781555176, -0.49320530891418457, -0.29421770572662354, -0.15745915472507477, -0.09343288093805313, 0.32032454013824463, 0.05664585903286934, 0.7076348066329956, 0.3305507004261017, -0.1632600873708725, 0.07291477918624878, 0.4623633325099945, -2.1447267532348633, 0.8744766116142273, 0.7850985527038574, -0.2585819661617279, 0.4622574746608734, 0.2519783675670624, 0.4800116717815399, -0.5151926875114441, -0.9346930384635925, 0.8257268071174622, 0.4774746000766754, 0.6809970140457153, -0.09661803394556046, -0.9422562718391418, 0.00697376299649477, -1.2549536228179932, -0.1918887197971344, -0.30991655588150024, 0.5095660090446472, -0.38406896591186523, -0.2654593884944916, -0.38357511162757874, -1.0308668613433838, -0.5979751348495483, 1.1683146953582764, 0.3242185711860657, 0.7566733360290527, -0.041199591010808945, -0.10928400605916977, 2.109461545944214, 0.7883886694908142, 0.10895069688558578, -0.45983070135116577, -1.1993937492370605, -0.7874263525009155, -0.045525576919317245, -0.42729464173316956, 0.45831048488616943, 1.3347476720809937, -0.30678001046180725, 0.03806106746196747, 0.4370858371257782, -0.7071251273155212, -0.7154368162155151, -0.17644472420215607, 0.16146495938301086, -0.6160223484039307, 0.3718496263027191, -0.8463823795318604, -0.21534119546413422, -0.610534131526947, -0.5377641916275024, 0.20149552822113037, -1.3254085779190063, 0.19224651157855988, -1.112214207649231, 0.3703362047672272, -1.8379040956497192, 0.6360464096069336, -0.08759810775518417, 0.2621503174304962, -0.18373152613639832, -0.44880518317222595, -1.2503045797348022, -1.8867818117141724, -0.8092072606086731, 0.7737697958946228, 0.11605961620807648, -0.07412619143724442, -0.3666309416294098, -0.040067385882139206, 0.4780694544315338, 0.11504684388637543, -0.6154710054397583, -0.2895013093948364, -0.7028851509094238, -0.13947676122188568, -0.6430666446685791, -0.6442744135856628, 0.17434537410736084, 0.8443736433982849, 0.3501168191432953, -0.18471018970012665, -0.3469085097312927, -0.3778811991214752, -0.31384244561195374, -0.15156176686286926, -0.13539618253707886, -0.4580724835395813, 0.9036747217178345, -0.2790233790874481, 0.6425151824951172, -0.014378254301846027, -0.9087057709693909, -0.9914413094520569, 2.2913620471954346, 0.46939367055892944, -0.33223968744277954, -0.5483053922653198, 0.2884077727794647, 0.33970314264297485, 0.6359127163887024, 0.015773434191942215, -0.8441985249519348, 0.5517565011978149, 0.9590852856636047, -0.6948270201683044, 0.12450628727674484, 0.3521001636981964, -0.5009543895721436, 0.8499946594238281, -1.2163033485412598, 0.04095770791172981, -0.3101617991924286, -0.2744408845901489, 0.01757052168250084, -1.0385005474090576, 0.45991450548171997, -0.6956624984741211, -0.665119469165802, -0.10370054095983505, 0.0732031911611557, -0.3124014735221863, 0.4178226888179779, 0.05413918197154999, 0.7752770781517029, -0.2285657823085785, 0.5516394376754761, 0.7025316953659058, 0.7387456893920898, -0.3201204836368561, -0.006509057246148586, 0.8819172382354736, 0.28274473547935486, -0.6064701676368713, -1.002281665802002, 0.20135222375392914, 0.9950081706047058, -0.2981749475002289, 1.1309664249420166, -0.7010138630867004, 0.1339777112007141, -1.1614391803741455, 0.8280885815620422, -0.48490089178085327, -1.0850038528442383, -1.419188141822815, -0.4336279630661011, 0.1322813332080841, -0.5302786231040955, -1.3393690586090088, 0.6449886560440063, -2.0773816108703613, 0.3850421905517578, 0.04822028800845146, -0.8002431392669678, 0.437971293926239, 1.033549189567566, 0.29866456985473633, 0.24998541176319122, -1.0215052366256714, 0.6131067276000977, 0.4978514015674591, 0.23916874825954437, -0.1389136165380478, -2.9055137634277344, 0.9306475520133972, 0.306664377450943, 0.17212115228176117, -0.5105996131896973, 0.2116735577583313, -0.8166828751564026, -0.547395646572113, 0.7083677649497986, -0.7709987759590149, -1.587349772453308, 0.658800482749939, -0.3897983133792877, -0.9139225482940674, -0.3878127932548523, -0.801100492477417, 0.648128092288971, -0.5862482786178589, -0.6405104994773865, 0.1146278902888298, 0.8638668060302734, -0.8286223411560059, -0.5938721895217896, 0.6515612006187439, 0.7265132069587708, -1.2856841087341309, -0.9999274015426636, -0.11972375959157944, -0.6277637481689453, -1.3807405233383179, -0.17294809222221375, 0.17066311836242676, -0.20882602035999298, -0.9771530032157898, -0.42276206612586975, -0.2366287112236023, 0.33248892426490784, -0.15122538805007935, 0.3108764886856079, -8.960468292236328, 0.2906898260116577, 0.5162478089332581, -0.35893720388412476, 0.6711967587471008, 1.3225880861282349, 0.40664055943489075, 0.2598188817501068, -0.05378023907542229, -0.7070746421813965, 0.9899133443832397, 0.28686434030532837, -0.4405258595943451, 0.07846734672784805, 0.14483974874019623, -1.177463173866272, -0.054608315229415894, 0.09719943255186081, -0.6638336777687073, 0.41821563243865967, -0.18430447578430176, 0.6071920394897461, 0.11630246788263321, 0.21367383003234863, 0.8542426228523254, -0.8765006065368652, -0.746803879737854, 0.8646860122680664, -0.06306883692741394, 0.9941504001617432, 0.6279482841491699, 0.28529685735702515, 1.2242820262908936, 0.22437195479869843, 0.14250577986240387, -0.8313280940055847, -0.13585436344146729, -0.637201189994812, -0.2987804114818573, -0.2626059949398041, -0.511803388595581, -0.009569297544658184, -0.4765259623527527, -0.7112314105033875, 0.5923604369163513, -0.010004309937357903, -0.580134391784668, 0.058437805622816086, 0.26864001154899597, 0.37094104290008545, 0.5194465517997742, -1.1198066473007202, 0.027029549703001976, -0.6556878089904785, 0.12364212423563004, -2.1651816368103027, 0.44299066066741943, -0.5398740768432617, -0.22048459947109222, 0.46520867943763733, 0.3262968361377716, -0.6623594164848328, 0.3133898079395294, -0.062174730002880096, 0.24701404571533203, -0.05913039296865463, -0.09983521699905396, -0.9878014326095581, 1.0776722431182861, 2.015429973602295, -0.024845102801918983, 0.38339924812316895, -0.486457496881485, 0.42441678047180176, 0.024448376148939133, -0.7739015817642212, -1.267812728881836, -0.5237911343574524, -1.2126356363296509, -0.3889024257659912, 0.46414050459861755, 1.3512897491455078, -0.09706006944179535, 1.1754146814346313, -0.06490574032068253, -1.2749502658843994, 0.45346319675445557, -0.44327858090400696, 1.3772573471069336, 0.240261510014534, 0.1508876234292984, -1.0063859224319458, 0.0691184550523758, -0.10081060230731964, -0.9410072565078735, -0.5333299040794373, -0.09192908555269241, -1.0475924015045166, 0.6178034543991089, -0.22555261850357056, 0.05135834217071533, 0.2684665620326996, 1.9619483947753906, -0.8436327576637268, 2.104975700378418, 0.6835261583328247, -0.14077119529247284, 0.35578685998916626, 0.07196595519781113, -0.15101498365402222, -0.7267767786979675, 1.5775012969970703, -0.596136212348938, -0.6187065839767456, -0.3279213309288025, -0.2630566358566284, -0.2902093827724457, 0.9910526275634766, 0.041995614767074585, -0.08204150944948196, -0.42463961243629456, 0.040363095700740814, 0.9608067274093628, -0.35408586263656616, -0.22609764337539673, 0.5562325119972229, -0.43424275517463684, -1.2015951871871948, 0.7520259618759155, 0.2847842276096344, -0.42889514565467834, 1.4363428354263306, 0.3822968006134033, 0.40707534551620483, -0.3128819465637207, -0.7935495376586914, -0.3166522979736328, 1.1463040113449097, 0.34898775815963745, -0.1535610407590866, 1.2586179971694946, 0.15569756925106049, 0.7566883563995361, -0.1009296327829361, -0.42956891655921936, -0.07595036178827286, -0.4134344160556793, 0.7375699877738953, -0.2470603883266449, 0.02275233156979084, -0.48970338702201843, -0.15993258357048035, 0.8828963041305542, 0.4294479489326477, 0.8002673983573914, 0.16607138514518738, -0.9040881395339966, -1.001335859298706, -0.27911895513534546, -0.16989438235759735, 0.09449730068445206, 1.035108208656311, -0.25330883264541626, 0.6621138453483582, 0.20054836571216583, 0.21408279240131378, -0.1903076469898224, 0.032275497913360596, 0.4265485107898712, -0.3143565356731415, 0.2561103105545044, -0.03795415535569191, -0.17705173790454865, 0.33268266916275024, 0.509006142616272, 0.09247872233390808, 0.6571863889694214, 1.9310832023620605, 0.05144390091300011, -1.0248053073883057, -0.6080601215362549, 0.30345818400382996, 0.39247381687164307, 1.1664317846298218, -0.34774401783943176, -0.25072023272514343, -1.0406508445739746, 1.593685507774353, 0.325458824634552, -0.7229245901107788, 0.665783166885376, -0.7384301424026489, -0.9444873929023743, -0.5879695415496826, 0.4366573691368103, -0.7275605201721191, -0.20363987982273102, -0.482725590467453, -0.24193690717220306, -0.13705608248710632, 0.3290320932865143, 0.201644629240036, 1.1424366235733032, 0.08260265737771988, 0.2847297787666321, 0.04820919409394264, -1.759272575378418, -0.4034557044506073, 1.192749261856079, -0.12937572598457336, 0.43093422055244446, 0.7049959897994995 ]
1,042
0704.1044
Hongjun Pan
Hongjun Pan
The redshift and geometrical aspect of photons
11 pages, 1 figure
null
null
null
physics.gen-ph
null
The cosmological redshift phenomenon can be described by the dark matter field fluid model, the results deduced from this model agree very well with the observations. The observed cosmological redshift of light depends on both the speed of the emitter and the distance between the emitter and the observer. If the emitter moves away from us, a redshift is observed. If the emitter moves towards us, whether a redshift, a blueshift or no shift is observed will depend on the speed vs. the distance. If the speed is in the range of c(exp[-beta*D]-1) < v < 0, a redshift is observed; if the speed equals c(exp[-beta*D]-1), no shift is observed; if the speed v less than c(exp[-beta*D]-1), a blueshift is observed. A redshift will be always observed in all directions for any celestial objects as long as their distance from us is large enough. Therefore, many more redshifts than blueshifts should be observed for galaxies and supernovae, etc in the sky. This conclusion agrees with current observations. The estimated value of the redshift constant beta of the dark matter field fluid is in the range of 10^(-3) ~ 10^(-5)/Mpc. A large redshift value from a distant celestial object may not necessarily indicate that it has a large receding speed. Based on the redshift effect of dark matter field fluid, it is concluded that at least in time average all photons have the same geometry (size and shape) in all inertial reference frames and do not have length contraction effect.
[ { "created": "Mon, 9 Apr 2007 12:18:23 GMT", "version": "v1" } ]
2007-05-23
[ [ "Pan", "Hongjun", "" ] ]
07
[ -0.6637387275695801, 0.3929804563522339, -0.2917942702770233, -0.24452118575572968, 1.2017734050750732, -0.7981200218200684, -0.22156299650669098, 1.140092134475708, 0.015938015654683113, -0.5007724761962891, -1.2620266675949097, 0.4325854480266571, 0.3919418454170227, 0.9076585173606873, -0.5944194197654724, -0.06280451267957687, -0.2550008296966553, 0.0893435925245285, 0.05382508784532547, -0.1131652370095253, 0.8542668223381042, 0.7508804798126221, -0.03231855481863022, -0.3495396375656128, -0.022117624059319496, -0.5917593836784363, 0.7746694087982178, 0.5109809041023254, 0.31246107816696167, -0.41423508524894714, -0.15370625257492065, 0.5715230703353882, 0.09291856735944748, 0.3934532105922699, 0.11467567086219788, 0.5395055413246155, 1.4408599138259888, -0.8187395930290222, -0.800769031047821, -0.8258254528045654, -1.3974238634109497, 0.6269997358322144, -0.3185030519962311, 0.5050724744796753, -0.6108095049858093, -0.2875024378299713, -0.4165877103805542, 0.4724365174770355, -0.011272569186985493, 0.04820393770933151, 1.0726468563079834, 1.2175278663635254, 0.7195338010787964, 0.08689410239458084, -0.18665041029453278, -0.4481433629989624, 0.9235565066337585, 0.5553609728813171, -0.6815631985664368, 0.4870526194572449, 0.2617657780647278, -0.6360277533531189, -1.6396127939224243, 0.07685398310422897, -0.9716689586639404, -0.4882811903953552, 0.07745590060949326, -0.06726785749197006, -0.21484766900539398, -0.8543321490287781, -0.013223850168287754, -0.23759108781814575, 0.638569712638855, -0.8759819865226746, -0.03169224411249161, -0.14783978462219238, -0.0112308906391263, -0.12562817335128784, 0.7310031652450562, -0.386715292930603, 1.6148111820220947, 0.335298091173172, -1.0867316722869873, -0.7083698511123657, 0.22069743275642395, -0.01264615822583437, 0.9454952478408813, -0.15068575739860535, -0.5472057461738586, -1.2209609746932983, -0.7139089703559875, -1.190638780593872, 0.16149555146694183, -1.0995359420776367, 1.221020221710205, -0.6256505250930786, -0.15600021183490753, 0.3931036591529846, 0.9903396368026733, 1.8794387578964233, 0.28213468194007874, -1.254433512687683, 0.325560986995697, 0.6424411535263062, 0.5543737411499023, 0.32097122073173523, -0.3686594069004059, -0.14595472812652588, -0.08960732072591782, -0.5880450010299683, 0.20109164714813232, 0.23381227254867554, -1.4666242599487305, -0.8331187963485718, 0.09210055321455002, 2.550830364227295, 0.201921284198761, 0.18975099921226501, -0.05091243237257004, 0.05679623782634735, 0.43091800808906555, 0.4978271722793579, 0.1299082338809967, 0.09250614792108536, -0.24193227291107178, -0.3741500675678253, -0.6162910461425781, -0.5658115744590759, 0.5691633820533752, -0.46888554096221924, 0.30056554079055786, -0.4454115331172943, -1.2287312746047974, 1.5232253074645996, -1.0293737649917603, 0.6516035795211792, 0.34444332122802734, -0.9842691421508789, 0.9192482233047485, -0.6028444170951843, -0.14969925582408905, -0.11299073696136475, -0.024261321872472763, -0.5627208948135376, 0.3951983153820038, 0.11322910338640213, 0.4212406873703003, -0.6386300921440125, 0.6373878717422485, -0.11122376471757889, 0.3822847008705139, -1.6639968156814575, 0.9596878886222839, 0.7266459465026855, 1.6352957487106323, 0.0034550554119050503, 1.1211440563201904, 0.6832905411720276, 0.6920719146728516, 0.950991690158844, -0.27727168798446655, -0.5184813141822815, 0.027899550274014473, 0.9699398875236511, -0.07242226600646973, -0.8517695665359497, -0.050720542669296265, -0.7088093757629395, -0.535389244556427, -0.47565361857414246, -0.6123106479644775, -1.14677095413208, -1.260948657989502, 0.2920204699039459, -0.02410273812711239, 0.26157262921333313, 0.6081570386886597, 0.2656576633453369, -1.2397263050079346, -1.6211049556732178, 1.0261201858520508, 0.3706650137901306, 0.14360776543617249, -0.08659904450178146, -0.11727949976921082, 0.017044194042682648, 0.39181166887283325, -0.3591587245464325, -0.5770828127861023, 1.4766281843185425, 0.08167290687561035, -0.7567929029464722, 0.26072362065315247, 1.0878522396087646, 0.017655009403824806, 1.0742099285125732, -0.4202573001384735, 0.2773791551589966, -1.16311514377594, 0.45522233843803406, 0.5650807023048401, -0.19320057332515717, 0.35745376348495483, -0.032425541430711746, -0.13226042687892914, 0.16764573752880096, -0.5427367687225342, 1.0922404527664185, -0.4471690356731415, 1.273921012878418, 0.4573649764060974, 1.1924413442611694, -1.2699289321899414, 1.19484543800354, 0.79729825258255, -0.06297042965888977, 1.570327639579773, -0.7370412945747375, 0.6762343049049377, 0.25206121802330017, -0.2750647962093353, 0.46910974383354187, -0.5217277407646179, 1.3991501331329346, -0.5396449565887451, 0.6785941123962402, 0.21631403267383575, -0.22664111852645874, -0.501227855682373, -0.1507665514945984, -1.3753783702850342, 0.10319961607456207, 0.14611037075519562, -0.3069755434989929, -0.3375290334224701, 0.24722832441329956, -0.22447223961353302, 0.15248937904834747, -1.017734408378601, 0.4229459762573242, -0.07881021499633789, 1.1747182607650757, 0.4677709937095642, -0.08893328905105591, -0.5178471803665161, 0.3223147392272949, 0.7340027689933777, 0.3035179376602173, -0.3910432755947113, -0.4139552116394043, 0.8172259330749512, 0.06453418731689453, 1.3876566886901855, -0.07467222213745117, 0.5163537263870239, -0.20420300960540771, -0.6060107350349426, -0.5240055918693542, 0.3710485100746155, 0.6263113021850586, -0.0749942883849144, -0.730383574962616, -0.20102597773075104, -1.0495496988296509, 0.11273402720689774, -0.20613625645637512, 1.1033613681793213, 0.15291880071163177, -0.44244298338890076, 1.6997736692428589, -1.363728404045105, -0.06374745815992355, 0.28933578729629517, -0.04149186238646507, -0.1343337893486023, -0.45750167965888977, -1.109373688697815, -0.2959277629852295, 0.3652368187904358, 0.3031271994113922, -0.7058277726173401, -0.3188517987728119, 0.07865195721387863, -0.27724385261535645, -0.3843880593776703, -1.066240906715393, 1.129637360572815, 0.08749911189079285, -0.9529939889907837, 0.45148563385009766, -1.3327319622039795, 0.10775423049926758, -0.39462435245513916, -1.2494819164276123, 1.1647075414657593, -0.26288002729415894, 1.6763710975646973, -0.23285052180290222, 0.1501481682062149, -1.213276743888855, 1.701123595237732, 0.5672162771224976, -0.5413470268249512, -0.41320696473121643, 1.6699951887130737, -0.06755346804857254, 0.011397113092243671, 0.12616193294525146, -0.6701518297195435, -1.242150068283081, 0.9187676906585693, -1.7622175216674805, 0.34423696994781494, 1.0278820991516113, -0.2744234800338745, 0.2323312759399414, 0.2542618215084076, 0.26610711216926575, 0.3960176408290863, -1.3247549533843994, 0.10734569281339645, -0.7092439532279968, -0.2002597451210022, 0.2756452262401581, -0.45902302861213684, -0.4827127158641815, 0.04289112240076065, -1.137359380722046, 1.365682601928711, -1.1453560590744019, -0.8398186564445496, 1.3247830867767334, -0.6741068363189697, -1.6507326364517212, 0.01217745989561081, -0.3793797492980957, 0.2941513657569885, -0.03893738612532616, -0.5468457341194153, 0.25515490770339966, 1.2588825225830078, -0.10661665350198746, -1.2091753482818604, 0.5759808421134949, -0.44534075260162354, -0.06499285250902176, 0.11100925505161285, 0.03799606114625931, -0.4035783112049103, -1.3207066059112549, -1.5901117324829102, 1.4979857206344604, 0.19252969324588776, -0.8123953342437744, -0.10761915892362595, 0.41486260294914246, 0.5404012203216553, -0.5833503007888794, 0.01971619203686714, 0.021790331229567528, -0.33763545751571655, 0.12812678515911102, 0.9100770950317383, -0.5014864802360535, -0.09087115526199341, -1.247069001197815, -0.7934212684631348, 0.6950639486312866, 0.019817998632788658, -0.8804078698158264, -1.4332201480865479, 1.2287627458572388, 0.15243378281593323, -0.8951647281646729, -0.30626949667930603, -0.25853344798088074, 0.9399349093437195, -0.44617506861686707, 0.3217134475708008, -0.34454238414764404, -0.7680235505104065, 1.4063293933868408, 0.8998485803604126, 0.2790311276912689, 0.7382544279098511, -1.0482053756713867, -2.339775562286377, 1.0132001638412476, 0.4090266227722168, -0.19203302264213562, 0.4419063925743103, -0.48613736033439636, -0.013694382272660732, -0.8760967254638672, -0.962407112121582, -0.39361393451690674, -0.8405510187149048, 0.29414135217666626, -0.03742107003927231, -0.011005430482327938, 0.35432595014572144, -0.5191114544868469, -0.3967466652393341, -0.24825458228588104, 0.2884770631790161, -0.21797016263008118, 0.041975438594818115, -0.05010349303483963, -0.2799442410469055, 0.28845810890197754, -0.6487243175506592, -1.1251882314682007, -0.6062906980514526, 0.10788232088088989, 0.11322201788425446, -1.5009336471557617, -0.1430201679468155, -0.9498694539070129, 1.2936848402023315, 0.23730920255184174, 0.5917149782180786, -1.2085250616073608, 0.4113811254501343, 0.8368874192237854, 0.5809116959571838, -0.14543122053146362, -0.6060605049133301, -0.04747640714049339, 0.18123213946819305, 0.7422361969947815, 0.9163909554481506, -0.362507700920105, -0.5942699313163757, 0.14335240423679352, -0.9923048615455627, -1.7190591096878052, 0.02528507076203823, -0.7917131781578064, -0.6734222173690796, 0.3443355858325958, 0.5228447914123535, -0.5748406052589417, -0.901184618473053, -0.49075308442115784, -1.3196114301681519, -1.3383773565292358, 0.3051312267780304, 1.0517051219940186, 0.3238224685192108, 0.3125810921192169, 0.4392450153827667, -0.5772517323493958, -0.3036467134952545, 0.3233005702495575, -0.6586315631866455, -0.5485246181488037, -0.6420663595199585, 0.04963204264640808, 0.341310977935791, -0.43097519874572754, -0.2154637724161148, 0.2005218267440796, -1.0415456295013428, 0.42683395743370056, -0.5066661238670349, 0.6559538841247559, 0.19050174951553345, -0.3278663754463196, -1.0340754985809326, 0.677161693572998, 0.1318761557340622, 0.8982720971107483, -1.2582008838653564, -0.8167810440063477, -0.47476452589035034, 0.34873029589653015, 0.9081096649169922, 0.04400763660669327, -1.1374084949493408, -0.2181011289358139, 0.5777318477630615, 0.5798000693321228, 0.11858044564723969, -1.7876914739608765, -0.7074616551399231, -0.16396844387054443, -0.10460864752531052, 0.6776568293571472, -0.9454466700553894, 0.926437258720398, 0.3919309079647064, -0.5009952783584595, 0.10736370086669922, 0.03195787966251373, -0.5777929425239563, -0.9305228590965271, 0.41294577717781067, 0.3539803624153137, 0.9390228986740112, 0.4312748312950134, 0.47684425115585327, -0.2075599581003189, -0.008503452874720097, -0.009504131972789764, -0.6205689907073975, -0.012275519780814648, 0.07870251685380936, -0.4854004681110382, 0.7271537184715271, -0.5140413641929626, 0.25315967202186584, -0.7391328811645508, 0.24998147785663605, 0.5477490425109863, -0.7158887386322021, -0.03764662519097328, 0.0032638749107718468, -3.432663679122925, 0.04314175248146057, -2.15498685836792, -0.013232734054327011, -0.26639091968536377, 0.12761345505714417, 0.24698612093925476, -0.00012227482511661947, 0.21334756910800934, -0.5447930693626404, 0.5218460559844971, -0.24337324500083923, 0.6097697615623474, -0.6212631464004517, 0.36035236716270447, 1.7121984958648682, 1.0841785669326782, -0.4020264744758606, -1.1185466051101685, 0.2599918246269226, -0.35377293825149536, 0.3293924331665039, -0.38694098591804504, 0.5344763994216919, 1.315060019493103, -0.3024798631668091, -1.1029754877090454, 0.7840229272842407, -0.6681957244873047, -1.31199049949646, 0.19772009551525116, 0.6179754734039307, 0.11437901854515076, -0.11216816306114197, -0.28263869881629944, -1.1345776319503784, 0.793354332447052, 0.4785802960395813, -1.2671222686767578, -6.8194966316223145, 0.6396600604057312, -0.9345105886459351, 1.0685546398162842, -0.8742257356643677, -2.173473596572876, 0.5886695384979248, -0.4321208894252777, 0.2711855173110962, -1.1457780599594116, 1.112671971321106, -0.5962711572647095, -1.4575036764144897, 0.04797232896089554, 0.4217267334461212, -0.3835006654262543, -0.04614882543683052, -1.1167078018188477, -1.1532407999038696, 0.2478775680065155, 0.9372332692146301, -1.0417988300323486, 0.6955040097236633, 0.06548262387514114, 0.8508713245391846, 0.720910906791687, -0.39338764548301697, 0.2806413471698761, -0.0296056866645813, 0.8637427091598511, -0.22327640652656555, 1.3374710083007812, 0.14754626154899597, -0.370664119720459, 0.20348456501960754, 0.6112551689147949, -0.21594485640525818, -0.5590071082115173, 0.4305802285671234, -0.6613765954971313, -0.9369370341300964, 0.8662117719650269, -1.007328748703003, 0.007521528750658035, -0.6812770962715149, -1.4039103984832764, -0.48489493131637573, 0.26605063676834106, 1.0405603647232056, -0.7292486429214478, -0.8576999306678772, -1.7147984504699707, 0.8434345722198486, -0.26410701870918274, 0.3422850966453552, 0.7133509516716003, 0.1691189408302307, -0.1196165531873703, -0.5979304909706116, 0.4524224102497101, -0.355886310338974, -0.7142534852027893, -2.4993021488189697, 0.4013393521308899, -0.3728097081184387, -0.9224191904067993, 0.0051465765573084354, -0.6874311566352844, 0.10697004944086075, 0.9084619283676147, -0.20387491583824158, -0.38614168763160706, -0.3184390366077423, 1.0032902956008911, 0.019138546660542488, 0.08310817927122116, -0.23094722628593445, 1.7409697771072388, -0.06450990587472916, 0.9498991966247559, -0.7053731679916382, 0.888558030128479, -1.1684794425964355, -0.007193013094365597, -0.0324983224272728, 0.20634232461452484, 0.4319117069244385, -0.16039009392261505, 0.43460434675216675, -1.5445083379745483, -1.087621808052063, -0.5377758145332336, -0.6392982602119446, -1.8875868320465088, 0.5397720336914062, -0.923612117767334, -0.8109577298164368, 0.06319534033536911, -0.7524290680885315, -1.3924216032028198, 0.8357521891593933, -0.5011556148529053, 0.8597580790519714, 0.793705940246582, 1.1216020584106445, 0.8712103962898254, -0.38922393321990967, -0.543343186378479, 0.33651992678642273, 0.08996966481208801, -0.6627142429351807, -0.3326331377029419, 1.0502389669418335, -0.24650368094444275, -0.5284309387207031, -1.4820977449417114, 0.3402671217918396, -0.12180676311254501, -0.15122108161449432, -0.4669886529445648, 0.648636519908905, -0.012240282259881496, -0.4188348054885864, -0.3803853392601013, 0.6505740284919739, -0.2350657433271408, 0.27339792251586914, -0.888386607170105, 0.022018492221832275, 0.6041146516799927, -0.05817225202918053, 0.8754259347915649, 1.615647792816162, 0.31401294469833374, -0.5241618752479553, 0.003205826273187995, 0.9737051725387573, -0.25128796696662903, 0.24542933702468872, -0.8306481242179871, 1.2575135231018066, -0.6841457486152649, 0.5615395307540894, -0.46768489480018616, 0.4426960051059723, -0.6255739331245422, -0.292348712682724, 0.41832712292671204, -0.3909376263618469, -0.5512810945510864, 1.0570423603057861, -0.44048988819122314, -0.3234649896621704, 1.4453026056289673, 0.07255847752094269, 0.1011805534362793, 0.0834825336933136, 0.015615013428032398, -0.3868648111820221, -0.07128560543060303, -0.8050059676170349, -0.20393165946006775, 0.44229793548583984, -0.42089536786079407, -1.023056983947754, 0.28560006618499756, 0.7328540682792664, 0.600514829158783, 1.3366590738296509, 0.09626100212335587, -0.19542405009269714, 0.3953574597835541, 0.24843059480190277, 1.344273567199707, 0.7910486459732056, 1.1181775331497192, -1.1208369731903076, 0.9243050813674927, -0.7405474781990051, -0.030727066099643707, 0.25408849120140076, 0.9925071001052856, 0.053684454411268234, -0.524571418762207, 0.10161895304918289, 1.2008306980133057, 0.563341498374939, 0.0010826889192685485, 0.4097324311733246, -0.47061288356781006, -0.1559414565563202, 0.5361400246620178, -0.7937927842140198, 1.0447052717208862, -0.22441524267196655, -0.9801782965660095, 0.45664069056510925, -0.027048710733652115, -0.7876105308532715, -1.3046386241912842, -0.0947130098938942, 0.7632494568824768, 0.8243127465248108, 0.6587504744529724, -0.6330558061599731, 1.352151870727539, 0.45073533058166504, -0.15160639584064484, 0.6953168511390686, -0.3992910385131836, 0.5500685572624207, 0.10894254595041275 ]
1,043
0704.1045
S. T. Megeath
S. T. Megeath (University of Toledo), E. Gaidos (University of Hawaii), J. J. Hester (Arizona State University), F. C. Adams (University of Michigan), J. Bally (University of Colorado), J.-E. Lee (University of California Los Angeles), S. Wolk (Harvard-Smithsonian Center for Astrophysics)
Cool Stars in Hot Places
To appear in proceedings of Cool Stars 14, ed G. Van Belle
null
null
null
astro-ph
null
During the last three decades, evidence has mounted that star and planet formation is not an isolated process, but is influenced by current and previous generations of stars. Although cool stars form in a range of environments, from isolated globules to rich embedded clusters, the influences of other stars on cool star and planet formation may be most significant in embedded clusters, where hundreds to thousands of cool stars form in close proximity to OB stars. At the cool stars 14 meeting, a splinter session was convened to discuss the role of environment in the formation of cool stars and planetary systems; with an emphasis on the ``hot'' environment found in rich clusters. We review here the basic results, ideas and questions presented at the session. We have organized this contribution into five basic questions: what is the typical environment of cool star formation, what role do hot star play in cool star formation, what role does environment play in planet formation, what is the role of hot star winds and supernovae, and what was the formation environment of the Sun? The intention is to review progress made in addressing each question, and to underscore areas of agreement and contention.
[ { "created": "Sun, 8 Apr 2007 21:17:30 GMT", "version": "v1" } ]
2007-05-23
[ [ "Megeath", "S. T.", "", "University of Toledo" ], [ "Gaidos", "E.", "", "University of\n Hawaii" ], [ "Hester", "J. J.", "", "Arizona State University" ], [ "Adams", "F. C.", "", "University of\n Michigan" ], [ "Bally", "J.", "", "University of Colorado" ], [ "Lee", "J. -E.", "", "University of\n California Los Angeles" ], [ "Wolk", "S.", "", "Harvard-Smithsonian Center for\n Astrophysics" ] ]
07
[ -0.20975276827812195, 0.6554202437400818, 0.9755825400352478, -0.048875223845243454, 1.115484356880188, -0.09237688034772873, 0.5808296203613281, 1.143850326538086, -0.703125536441803, 0.24988852441310883, -0.7787725329399109, 0.5147116780281067, 0.43482595682144165, -0.0200817808508873, -0.4201712906360626, 0.11234094947576523, -0.40647533535957336, -0.4551451802253723, 0.15346549451351166, -1.2426965236663818, 0.46278494596481323, 0.45599889755249023, 0.3467593789100647, 0.1830414980649948, -0.3529229164123535, 0.4323774576187134, 1.7790166139602661, 0.11401927471160889, 0.7123532891273499, -0.4802301824092865, -0.007045342121273279, -0.04645964875817299, -0.16646073758602142, 0.19315825402736664, 0.26519930362701416, -0.5394945740699768, 0.5807980298995972, -0.9632989764213562, 0.4275696575641632, 0.37291035056114197, -0.33215704560279846, 0.15739798545837402, -0.11520075052976608, -1.1321042776107788, 0.2530117332935333, -1.1590278148651123, 0.01732664182782173, 1.225038766860962, 0.034915655851364136, 0.13289575278759003, -0.24288058280944824, -0.5808841586112976, 0.16508041322231293, 0.7258111834526062, -0.2016972005367279, -0.9615566730499268, -0.6084374189376831, -0.770737886428833, 1.2710835933685303, 0.13689321279525757, -0.2121400535106659, -0.05081579461693764, 0.5692011117935181, -0.09885483235120773, -0.16894033551216125, 0.009665406309068203, 1.0843619108200073, -1.127429485321045, -0.6191510558128357, -0.8907139897346497, -0.5504177808761597, -0.3953723609447479, -0.2741582989692688, 0.9521699547767639, 0.6438720226287842, 0.22764456272125244, -0.38450393080711365, 0.3877863883972168, 0.720440149307251, -0.8747895956039429, -0.5700324177742004, 0.3462047278881073, 0.06827812641859055, -0.756123960018158, 0.45638394355773926, -0.24367809295654297, -0.9643492102622986, 0.4912285804748535, 0.8320602178573608, -0.600257158279419, 1.095298171043396, -0.4453785717487335, 0.22763903439044952, -0.020347727462649345, -0.2952039837837219, 1.3223110437393188, -0.4982081353664398, 0.24874572455883026, 0.18132217228412628, 1.601657509803772, -0.2507901191711426, 0.7660261988639832, 0.35781899094581604, 0.14771024882793427, -1.382317066192627, -1.3099569082260132, 0.49119338393211365, -1.6752480268478394, -0.1892959177494049, 1.0189542770385742, 0.2651624381542206, -0.03314020857214928, -1.3238544464111328, -1.3504059314727783, 0.46589431166648865, 1.0257102251052856, -0.8013057112693787, -0.9005581140518188, 0.500449001789093, 0.17071633040905, 0.4982357323169708, 0.9531416893005371, 0.04117615893483162, 0.04863350838422775, 0.38114288449287415, -1.2637767791748047, 0.011251387186348438, -0.4664168357849121, -0.12559862434864044, -0.31954920291900635, 1.5861990451812744, -0.4040687680244446, -0.6719322204589844, 1.3674232959747314, -0.610045850276947, -0.20413607358932495, -1.083365559577942, 0.7042927742004395, -0.38221725821495056, 0.6751503944396973, -1.2997536659240723, -0.2062220722436905, -0.28984636068344116, -0.21457457542419434, -0.17008480429649353, 0.4742093086242676, -0.2762098014354706, -0.14276334643363953, 0.023800624534487724, -0.07602953165769577, 0.5057821273803711, -0.8655847311019897, 0.1554998755455017, 1.000773310661316, 1.373879075050354, -0.31184306740760803, -0.41968709230422974, -0.9598429799079895, -0.9263316988945007, 0.7921382784843445, 0.6853644251823425, -0.025745198130607605, -1.0763493776321411, -0.3698890209197998, 0.7450328469276428, 0.8542416095733643, 1.0435056686401367, -0.7571191191673279, 0.14951053261756897, -0.0228861253708601, 0.5790601372718811, 0.3472760021686554, -1.2548816204071045, 0.880010724067688, 0.06592187285423279, 0.1326461285352707, 0.33943256735801697, -0.0973876342177391, -1.234693169593811, -0.668407678604126, 0.01422867551445961, 0.4942709505558014, 0.312557578086853, -0.8872179388999939, -0.048629727214574814, 1.0493779182434082, -1.1432856321334839, -0.5916818976402283, 0.4436493515968323, 0.03464042395353317, -0.2944899797439575, 1.6357296705245972, -1.193082571029663, 0.20972159504890442, 0.1493517905473709, 0.6449210047721863, 0.49776360392570496, 0.5593517422676086, 0.7405416369438171, 1.5928065776824951, 0.2241424173116684, 0.41930320858955383, 0.03186221420764923, 0.8984315991401672, 0.5692299008369446, -0.5306650400161743, 0.8021146059036255, 0.7100186944007874, 0.5078786611557007, -0.05688164383172989, 0.3311762809753418, 0.151740163564682, -0.9182040691375732, 0.43331673741340637, 0.9607371091842651, 0.20548905432224274, 0.4808882474899292, -1.5703775882720947, 0.2256546914577484, -0.2012486606836319, -0.3934749364852905, 0.5743075013160706, 0.26953020691871643, 0.01897396892309189, -0.783854067325592, 0.26869091391563416, 0.45382609963417053, -0.97420734167099, 0.4618392884731293, -1.5199894905090332, -1.5062578916549683, -0.4932684004306793, -1.365747094154358, -0.20266050100326538, 0.9442422389984131, -0.08920920640230179, -0.38250967860221863, 1.0653438568115234, -0.03188513219356537, -0.3932268023490906, 0.711716890335083, -1.2821574211120605, -0.47048065066337585, -1.2680739164352417, -0.2626743018627167, 0.45165032148361206, -0.35945916175842285, 0.8496842384338379, -0.4439188539981842, -0.6326555609703064, -0.5916152000427246, -0.8000693917274475, -0.06996309012174606, -0.18479767441749573, 0.4782942235469818, 0.01419203169643879, -0.7386234402656555, -0.20516155660152435, -0.13474108278751373, 0.34467053413391113, -1.019205093383789, -0.29149889945983887, 0.027118729427456856, 0.1790124922990799, 1.1983691453933716, -0.11545062810182571, -0.010925774462521076, -0.5537230968475342, -1.1781047582626343, 0.1539973020553589, -0.13830788433551788, -0.6526564359664917, -0.17044490575790405, 0.7106277346611023, 0.07295923680067062, 0.08435902744531631, -0.16389720141887665, 0.03451501578092575, -1.763503909111023, -1.5180467367172241, 0.7763631939888, 0.5383263230323792, -0.3609684407711029, 1.6441047191619873, 0.5957323312759399, -0.985325813293457, 0.15692901611328125, -0.6945574283599854, 0.1587846875190735, 0.2023499757051468, 0.15181532502174377, -0.8584164381027222, 0.03920326381921768, 0.9243407845497131, -1.4351125955581665, 1.3109017610549927, 0.6430993676185608, -1.4511795043945312, 0.20613059401512146, -0.38231536746025085, 0.08864344656467438, 0.721878170967102, 0.11568522453308105, 0.35693594813346863, 0.9850651025772095, -0.26856064796447754, 0.15821518003940582, 0.39736810326576233, 0.6734218001365662, 0.05619122087955475, -0.27109411358833313, -0.30780547857284546, 0.060563139617443085, 0.38302308320999146, 0.6410782933235168, 0.5584733486175537, -0.87249356508255, 0.40875107049942017, 0.14685483276844025, -0.08218034356832504, 1.4416755437850952, 0.11793843656778336, -0.22882108390331268, 0.5035104751586914, -1.8041763305664062, 0.29864567518234253, -1.6198071241378784, -0.3184022903442383, 0.07351446896791458, 0.37876981496810913, 1.1216238737106323, 0.480111688375473, -1.0710967779159546, 0.0841178297996521, -1.0473002195358276, 0.4353390038013458, -0.3937806189060211, 0.4624122977256775, 0.27355527877807617, 1.1507506370544434, 0.5659374594688416, 1.3061046600341797, 0.9998703598976135, 1.2986873388290405, -1.1386936902999878, -0.4683212637901306, -0.1737009882926941, 0.3347737491130829, -0.13167734444141388, 1.2024823427200317, -1.227671504020691, 0.17366407811641693, -0.37519314885139465, -0.42276880145072937, 0.017090417444705963, -0.32533398270606995, 0.009565443731844425, 0.45615580677986145, -0.808180034160614, -0.32423195242881775, -0.46647003293037415, -0.1776108592748642, -1.529052972793579, 1.8629636764526367, -0.4035491645336151, -0.7105981111526489, -0.11514028161764145, 0.3636435270309448, -1.0366013050079346, 0.5937150120735168, -1.0644258260726929, -0.597114086151123, 0.7680758237838745, -0.384749174118042, -0.4824337959289551, 1.209984302520752, 0.7860584855079651, -0.4442056715488434, -0.242142453789711, -0.3138015866279602, 0.7156409621238708, 0.22143004834651947, -0.29060277342796326, -0.054398536682128906, -0.27436280250549316, -0.7592191100120544, -1.2162545919418335, 2.20131516456604, 0.41908198595046997, 0.40070345997810364, -0.816828727722168, -0.8624516725540161, 0.1825079470872879, -0.6739963889122009, 0.05376245081424713, 0.19396056234836578, 0.12974290549755096, -0.6069402694702148, 0.6616198420524597, -0.8625481724739075, 1.5378668308258057, -0.6794653534889221, -0.2656700909137726, -0.4300774931907654, -1.0489801168441772, 0.6591824293136597, 0.3397015631198883, -0.28149664402008057, 0.3669896721839905, 0.37435731291770935, 0.2890268862247467, -0.5468596816062927, -0.20894750952720642, 0.09127820283174515, 1.3316336870193481, -0.1509736329317093, 1.1719129085540771, 1.0469681024551392, 0.9577922224998474, -0.5076574087142944, 0.41107457876205444, 0.027725743129849434, -0.2140185683965683, 0.7944917678833008, -0.4836161136627197, 0.9167607426643372, 0.39745092391967773, -0.17986521124839783, -0.012218035757541656, 0.20956656336784363, 1.0800501108169556, 0.0754045620560646, -0.8062094449996948, 0.5387158989906311, 0.45259517431259155, -1.140323281288147, -0.30077940225601196, 0.5271562933921814, -0.24581287801265717, -0.10127817839384079, 1.1291015148162842, -1.1242858171463013, 1.5757057666778564, -0.7131303548812866, 0.17540745437145233, -0.7593089938163757, -0.38511478900909424, -0.4022130072116852, -0.49565455317497253, 1.4237501621246338, -0.7170012593269348, -0.39965716004371643, 0.14204856753349304, -0.05621710419654846, 0.5748812556266785, 1.0150556564331055, 0.6618998050689697, 0.2599087059497833, -1.4350868463516235, -0.6837716698646545, 0.7809154987335205, 0.2839551866054535, 0.6367897391319275, 0.09779051691293716, 1.1583125591278076, 0.06295818090438843, -0.055783770978450775, -0.23396657407283783, 0.962613582611084, -0.7066382169723511, 0.055948421359062195, 0.5200307369232178, -0.3998488783836365, -0.646651029586792, 0.22766372561454773, 2.516516923904419, 0.2198466658592224, -0.4593370854854584, 0.2028314769268036, 0.23149360716342926, -0.4298416078090668, -0.020339353010058403, 0.23023387789726257, -1.2480844259262085, 0.3100469708442688, 1.0335965156555176, -0.49405544996261597, -0.5898714065551758, -0.3349379599094391, -1.5875357389450073, 0.9141170978546143, -0.6544609665870667, -0.2276776283979416, 0.6830297708511353, 0.5607975125312805, 0.8609751462936401, -0.1091630682349205, -0.3684999942779541, -0.026879340410232544, 0.19855783879756927, 0.425320029258728, -1.3797475099563599, -0.3735944628715515, 0.06377182900905609, -0.8039701581001282, -0.4245625436306, -0.6154499650001526, -0.1679769605398178, -0.7803415656089783, 0.3444274365901947, 0.08138248324394226, -0.23091499507427216, 0.4243709146976471, 0.05807090923190117, -0.3866764307022095, -0.5262289643287659, -0.5334175229072571, -2.1669769287109375, 0.8275943398475647, -1.3604644536972046, 0.13610011339187622, 0.45295944809913635, -1.1726917028427124, -0.5291275382041931, 0.09107336401939392, -0.05161819979548454, 1.4428892135620117, -0.32111015915870667, -1.2311218976974487, 0.144890695810318, 0.012430702336132526, 0.7740936875343323, -1.0189741849899292, -0.7669405937194824, 0.32904475927352905, -0.7791844606399536, 0.15728041529655457, 0.8225008249282837, -0.3960258662700653, 0.05388658493757248, -0.566170871257782, -0.854099690914154, 0.043293874710798264, -0.8492375016212463, -0.9712325930595398, -0.7207604050636292, 0.2735488712787628, -0.31944480538368225, 0.8267923593521118, -0.683384895324707, -0.488723486661911, -0.5187128186225891, 0.3003000319004059, -0.38501861691474915, -0.1357872188091278, -1.0789355039596558, -7.588470935821533, -0.02207036316394806, 0.4096308648586273, -0.22902636229991913, -0.278687983751297, -0.38912004232406616, -1.3059011697769165, 0.14468079805374146, -0.47467443346977234, -1.5021371841430664, -0.8490284085273743, -0.017037317156791687, -1.057381272315979, 0.31954672932624817, 0.8077440857887268, -0.3611336350440979, -0.2576230466365814, -0.05210255831480026, -1.256446123123169, -0.8046690225601196, -0.2420577108860016, 0.7211399674415588, -0.7811291217803955, -0.2452729046344757, 0.09177455306053162, 0.5102124810218811, -0.6135175824165344, 0.9222887754440308, 0.4770783483982086, -0.14887334406375885, 0.32277268171310425, 1.0311568975448608, 0.11178860068321228, 0.09186297655105591, 0.6555613875389099, 0.878429651260376, -0.031211327761411667, 0.03827930614352226, 0.15482090413570404, -0.24600784480571747, -0.8217240571975708, 1.5686302185058594, 0.254520982503891, -0.4681948721408844, -0.3227308690547943, 0.04689863696694374, 0.5421117544174194, -1.9825361967086792, -0.7725112438201904, -1.1777353286743164, -0.5508977174758911, -0.9698284268379211, -0.6869063377380371, -0.2150295227766037, 0.044679030776023865, -1.0031368732452393, 0.2989387810230255, -0.32022956013679504, -0.21937744319438934, -0.2888146936893463, 0.3374655544757843, 0.15340673923492432, -0.15819092094898224, 0.22651268541812897, 0.010671288706362247, 1.9686717987060547, -1.4190582036972046, -0.5244176983833313, -0.32804083824157715, 0.1553255021572113, 1.0267895460128784, 0.08258756250143051, -2.0769309997558594, -0.2819986939430237, 0.4397812485694885, 0.7890004515647888, -0.20882940292358398, 0.606736421585083, -0.7771357893943787, 0.6721940040588379, 0.737404465675354, 0.6108237504959106, 0.40017589926719666, 0.7742797136306763, -0.04957202076911926, -2.33174204826355, -0.2215922772884369, -0.7379311323165894, -0.6433787941932678, 0.27035605907440186, 0.022109005600214005, 0.6305000185966492, 0.6023430228233337, -0.45404383540153503, 0.655684769153595, 0.12932775914669037, -0.4877071976661682, 0.3359015882015228, -0.13301652669906616, 0.40617406368255615, 0.20555996894836426, -0.2241237312555313, 0.42710745334625244, -0.44954538345336914, 0.4496513903141022, -0.5692943334579468, -1.7251367568969727, 0.6150700449943542, 0.18662084639072418, 0.22919881343841553, -0.7426426410675049, -0.28421592712402344, 0.09938006103038788, 0.4282921552658081, -0.3827388882637024, 0.24935536086559296, 0.2899843454360962, 1.4483931064605713, -1.2009724378585815, 0.4778582751750946, 0.08155382424592972, 0.5447831749916077, -1.2813235521316528, -0.7311351895332336, -0.4081861674785614, 0.2976111173629761, -0.3458862006664276, -0.9699442982673645, -0.5247774720191956, 0.48775771260261536, -0.3233659863471985, -0.6325433850288391, -0.48910656571388245, -1.1407897472381592, -0.9059425592422485, 0.5310737490653992, 0.01492233294993639, 1.28513503074646, -1.2949379682540894, 0.6607401967048645, 1.3452138900756836, -0.1818051040172577, 1.1485278606414795, -0.6200575232505798, 0.2497582882642746, -0.2154826819896698, -1.2444403171539307, -1.036445140838623, -0.9328773617744446, -1.04776132106781, -0.2242594212293625, 0.565740704536438, 0.2979513704776764, -0.08251551538705826, -0.7855008244514465, -0.35233211517333984, 1.5883234739303589, -0.41856130957603455, -0.22114256024360657, 0.5978043079376221, 0.12294051796197891, -0.16177868843078613, -1.125035285949707, -0.20131997764110565, -0.9395108222961426, -1.0633149147033691, -1.3697799444198608, 1.417616605758667, -1.2689330577850342, -0.8177000284194946, -0.49816104769706726, 0.4768906533718109, -1.1362375020980835, 0.07727950066328049, 0.39486071467399597, -0.9205561876296997, -0.15517893433570862, -0.16381557285785675, -0.5457419157028198, -0.17692379653453827, 0.19893956184387207, 0.29256510734558105, 0.3930566906929016, 1.0381778478622437, -1.0710164308547974, 0.42190277576446533, -1.4304871559143066, 0.6934260129928589, -0.6943053007125854, 0.3818525969982147, 0.4144233167171478, 1.0416193008422852, -0.8171483278274536, 0.43624642491340637, -1.1371475458145142, -0.6139281988143921, 0.31811681389808655, 0.24233762919902802, 1.7080211639404297, 0.28794994950294495, -0.14414344727993011, 0.4721423089504242, 0.5334928035736084, 0.33006539940834045, 0.2124578356742859, 0.09178198128938675, 0.6725528240203857, -0.6417213678359985, 1.0091058015823364, -0.8627209663391113, -0.16546517610549927, 0.260043203830719 ]
1,044
0704.1046
Gerard Freixas i Montplet
Gerard Freixas i Montplet
Heights and metrics with logarithmic singularities
54 pages
null
null
null
math.NT math.AG
null
We prove lower bound and finiteness properties for arakelovian heights with respect to pre-log-log hermitian ample line bundles. These heights were introduced by Burgos, Kramer and K\"uhn, in their extension of the arithmetic intersection theory of Gillet and Soul\'e, aimed to deal with hermitian vector bundles equipped with metrics admitting suitable logarithmic singularities. Our results generalize the corresponding properties for the heights of Bost-Gillet-Soul\'e, as well as the properties established by Faltings for heights of points attached to hermitian line bundles whose metrics have logarithmic singularities. We also discuss various geometric constructions where such pre-log-log hermitian ample line bundles naturally arise.
[ { "created": "Sun, 8 Apr 2007 21:38:31 GMT", "version": "v1" } ]
2007-05-23
[ [ "Montplet", "Gerard Freixas i", "" ] ]
07
[ -0.18587951362133026, 0.2904166579246521, 0.603803277015686, -0.008718634024262428, -0.7881042957305908, -0.6189264059066772, 0.016827212646603584, -0.025655636563897133, -0.45030292868614197, -1.1993603706359863, 1.2152142524719238, 1.178215503692627, -0.2521738111972809, 0.5899924635887146, -0.2449864149093628, 0.5767808556556702, 0.6135478019714355, 0.601963996887207, -0.38957828283309937, -0.987139105796814, -0.9121996164321899, -0.36060309410095215, -0.29219043254852295, -0.001014911336824298, 0.10351532697677612, 0.07611197233200073, 0.6135135889053345, 1.3077491521835327, -0.010913800448179245, 0.12760815024375916, 0.07919633388519287, 0.1829020231962204, 0.009246564470231533, 0.359231173992157, 0.25526151061058044, -0.06943303346633911, -0.8673921227455139, -0.27548208832740784, 0.5545321702957153, -0.04905528947710991, 0.1509891003370285, 0.973465085029602, 0.9236497282981873, -0.5178638696670532, 0.40541574358940125, -0.7996888756752014, -0.008864264003932476, 0.9871325492858887, 0.6630203127861023, 0.849920928478241, 0.6312524080276489, 0.2606361508369446, -0.17316970229148865, -0.9999646544456482, 0.08132347464561462, -0.5248183012008667, 0.03897828236222267, -1.0467883348464966, -0.07568105310201645, -0.45533493161201477, 0.08627735078334808, 0.13189049065113068, 0.08815276622772217, 1.5562018156051636, -0.37041816115379333, -0.8405597805976868, 0.3807797133922577, 1.5941663980484009, -0.07853494584560394, -0.8521005511283875, -0.391183465719223, -0.08979854732751846, -1.040674090385437, 0.6174255609512329, -0.20118576288223267, 0.14838983118534088, 0.012925080955028534, -0.349143385887146, 0.38869503140449524, 0.5019720196723938, -0.11125001311302185, -0.12430869787931442, -0.3094172179698944, 0.8787521719932556, 0.2398882657289505, 1.358730673789978, -0.05695192143321037, 0.3942486047744751, -0.8593978881835938, 0.9803168177604675, 0.3018357753753662, -0.40061137080192566, 0.7025567293167114, 0.0578739158809185, 0.13752874732017517, -0.9272546768188477, 0.36248108744621277, 0.24906888604164124, 0.5931386947631836, 0.4034678637981415, -1.2995786666870117, 0.2860470712184906, -0.18082892894744873, 0.7290518879890442, -1.368934154510498, 1.2025152444839478, 0.3927556276321411, 0.9791967868804932, 0.8082512617111206, -0.7988918423652649, 1.0634217262268066, -0.7061507105827332, -0.39629021286964417, -0.1920231729745865, -1.9509459733963013, -0.6785227656364441, -0.040588367730379105, -0.8487350344657898, -0.5597521662712097, -0.016773473471403122, -1.2067246437072754, 0.2781272828578949, 1.1452267169952393, -0.15559040009975433, -0.39278972148895264, 0.7935861945152283, 0.10260342061519623, -0.13393546640872955, -0.4434299170970917, -0.26768335700035095, -0.9194720387458801, 0.2063894122838974, -0.05308230221271515, -1.385857343673706, -0.33762750029563904, 0.06023041903972626, -1.0843535661697388, -0.635450541973114, 0.06607909500598907, -0.7392073273658752, -0.05824793130159378, 0.8675515055656433, -0.08878631144762039, 1.6983635425567627, 1.3955352306365967, -1.6407201290130615, 1.7314679622650146, -0.28313520550727844, 1.3739941120147705, 0.6966409087181091, -0.0468447282910347, -0.514212429523468, 0.46971026062965393, -0.1199776902794838, -0.36434102058410645, 0.8874779343605042, -0.21625198423862457, 0.4536937475204468, 0.07521744817495346, 0.1776401251554489, -1.2391867637634277, -0.6945958137512207, 0.43588945269584656, 0.5201233625411987, 0.3441855311393738, -0.6660254597663879, 0.191604882478714, -0.4030342698097229, 1.1265456676483154, 0.14540237188339233, -1.3212833404541016, 0.2722168266773224, -0.05646146833896637, 0.13576142489910126, -0.06086481735110283, -0.9282509684562683, 0.5363814830780029, -0.6419655680656433, -0.6281223297119141, 0.2341374009847641, -1.3312504291534424, -1.1708632707595825, -0.7634869813919067, -0.04892224073410034, 0.20763662457466125, -0.7127036452293396, 0.8568090796470642, -0.46048703789711, -0.423167884349823, 0.006588982418179512, -0.6154555678367615, -0.009003954939544201, -1.0879310369491577, 0.08916693180799484, -0.03559334576129913, -0.23344749212265015, 0.00620177062228322, -0.06331010907888412, 0.12502989172935486, 0.04050078243017197, 0.05895479768514633, 0.5400406122207642, -0.01610844023525715, -0.35512250661849976, -1.4781216382980347, 0.6994554400444031, 0.3626030385494232, 0.1057930737733841, -0.20258267223834991, -1.152871012687683, 0.6303511261940002, -0.04585719108581543, 0.6429645419120789, 0.7520251870155334, 1.3429404497146606, 0.3474387228488922, 0.8382939696311951, 0.6389809846878052, -0.4441913068294525, 0.5034363269805908, 0.5195486545562744, -0.5625731348991394, -0.6366179585456848, 0.612697958946228, 0.1427372843027115, -0.7170608639717102, 1.0236356258392334, -0.8858828544616699, 0.7477917671203613, -0.5224515795707703, 1.7861076593399048, -0.0803118348121643, 0.12252543866634369, -0.37121692299842834, 0.7593125104904175, 0.7318727970123291, 0.4464085102081299, -0.4285794198513031, -0.3812074363231659, 0.997154712677002, -0.017985356971621513, 1.1986855268478394, -0.5911282896995544, 0.12282819300889969, -0.3435712456703186, -0.15676966309547424, 1.3104809522628784, -1.8640505075454712, -0.4356355369091034, 0.1784479320049286, -0.38678133487701416, 0.2086661010980606, -0.829533576965332, -0.3404720425605774, 0.2983458638191223, 0.0048521445132792, 0.07402974367141724, -0.662731945514679, -1.0652614831924438, 0.4253976345062256, -1.0927577018737793, -0.6581042408943176, 0.3395582139492035, 0.32686710357666016, -1.0734025239944458, -2.7535207271575928, -0.3581984341144562, 0.4392930567264557, -0.355731338262558, 0.5785087943077087, -0.24149160087108612, 0.8243421912193298, -0.4686307907104492, 0.28687813878059387, 0.26312869787216187, 0.2812252342700958, 0.24106168746948242, -0.864029586315155, 0.49765250086784363, -1.1154009103775024, -0.08870021253824234, 0.007501424290239811, 0.16077525913715363, 0.9612761735916138, 1.4647520780563354, -0.76143878698349, -0.17373917996883392, 1.3669445514678955, 0.34801653027534485, 0.5202438235282898, 1.073003888130188, 0.8652450442314148, -1.2989310026168823, 0.37764406204223633, -1.2176860570907593, 0.8259096145629883, -0.5854288935661316, 1.4630950689315796, 1.2961167097091675, 0.20349009335041046, -0.17134374380111694, -0.41861554980278015, -0.20317913591861725, 0.24661682546138763, 0.105020672082901, -0.053574562072753906, -1.1544495820999146, -0.676272988319397, -0.9662025570869446, -0.10638044774532318, 1.3241156339645386, 0.5543851256370544, -0.26071351766586304, -1.2404474020004272, 0.8998706936836243, 0.3239642381668091, -0.4943494498729706, 0.16014008224010468, 0.6042603254318237, -0.7799102067947388, -0.9974892139434814, 0.5390509366989136, -0.023078596219420433, -0.3912900984287262, 0.927372395992279, 0.2554008960723877, -0.7094475030899048, -0.46347495913505554, 0.48012205958366394, -0.9008945822715759, 1.0046055316925049, -0.8286839127540588, -0.20414339005947113, -0.12772627174854279, -0.2129809558391571, -0.3119545578956604, -0.05247002840042114, 1.0670557022094727, -0.014973677694797516, -0.22576184570789337, 0.6680768728256226, 0.17234599590301514, -1.1341496706008911, -1.3918452262878418, -0.6883079409599304, -0.5378439426422119, 0.6545790433883667, -0.4458593428134918, 0.2935543954372406, 0.8955574035644531, -0.06250928342342377, -0.2347383350133896, -0.0642475038766861, 0.48834994435310364, 0.04451939836144447, 0.6609930396080017, -0.003253788221627474, 0.9636359214782715, 0.03590461611747742, 0.7553378343582153, -0.40385138988494873, 0.6319696307182312, 0.3290771543979645, -0.12865185737609863, 0.2390490174293518, 0.9328225255012512, -1.0920844078063965, -1.6433048248291016, 0.5719510912895203, -1.0649385452270508, -1.1206095218658447, -0.9993624091148376, -1.3871493339538574, 0.6023377180099487, 0.13263946771621704, -1.9305015802383423, 0.2671565115451813, -0.04916513338685036, 0.7749539017677307, -0.45826664566993713, -1.044751763343811, 1.0859675407409668, -0.30150607228279114, -0.4851217567920685, 0.26600974798202515, 1.5977119207382202, 0.16534355282783508, -0.6788903474807739, 0.4373493492603302, -0.1841236650943756, 0.3566311299800873, 0.4373655915260315, 0.06178639829158783, -0.5403488278388977, 0.3808518350124359, 2.5093564987182617, -2.613438129425049, -0.2749214470386505, 0.6779237389564514, 1.9432690143585205, 0.31552332639694214, 0.1388956755399704, 0.6194676756858826, -0.37729009985923767, -1.0287370681762695, 0.2651793360710144, -0.37392786145210266, 1.9470771551132202, 0.1831354796886444, -0.29178211092948914, -0.4274561107158661, -0.13166694343090057, 0.2593122720718384, -0.48859938979148865, -1.085750699043274, 1.0222078561782837, -0.4903222322463989, -0.5556113123893738, -0.2254132330417633, -0.5706648230552673, 0.17195558547973633, -0.7436642050743103, 0.4439736008644104, 1.2349883317947388, -0.33876270055770874, -0.47703930735588074, 0.7136101126670837, -0.7037020921707153, -0.6914346814155579, 0.2827165722846985, 1.2458999156951904, -0.6852055191993713, 0.05645368620753288, 0.007741358131170273, -0.9327718019485474, -0.5931004285812378, 0.516793429851532, 0.4545817971229553, -0.09653592854738235, -0.5443671345710754, 0.38531628251075745, 0.5542256832122803, 0.24852843582630157, -1.5004372596740723, 0.4585460126399994, -0.8187780380249023, 1.7160943746566772, 0.7429225444793701, -0.5627456903457642, -1.226509928703308, 0.14781787991523743, -1.5742998123168945, 1.090173363685608, 0.22827434539794922, -0.10137402266263962, 0.5944814085960388, -0.7335573434829712, -1.9142557382583618, 0.3151789903640747, -0.44705650210380554, -0.2878957688808441, 0.030582072213292122, -1.092874526977539, 0.2061363309621811, -0.9923859238624573, 1.104315161705017, -0.3736231327056885, -0.19614320993423462, 0.5982420444488525, -0.7154677510261536, -0.4248579442501068, -0.08508848398923874, -0.30857524275779724, -0.9321168661117554, -1.307883620262146, -1.0163367986679077, -0.12291169911623001, 0.13093149662017822, 0.41008108854293823, -0.20455484092235565, 1.2316124439239502, 0.4126903712749481, 0.6144657731056213, -0.7532134652137756, -0.5174709558486938, -1.01702880859375, 0.9227774739265442, -0.04632675647735596, -0.5055850744247437, 0.4221422076225281, 0.00554386992007494, 0.1613657921552658, -0.6041163206100464, -1.825003981590271, -1.3637120723724365, 0.2456250935792923, 0.6021797060966492, -1.18438720703125, -1.7204688787460327, 1.077175259590149, 0.13760067522525787, 0.5274741053581238, 0.7228031158447266, -0.9261242151260376, 0.11060131341218948, -0.2531898021697998, -0.4074994921684265, 0.68516606092453, 0.7769303321838379, 1.126682162284851, -1.4444383382797241, -0.4311371445655823, -0.13785645365715027, -1.0571085214614868, 0.03523343801498413, 0.2684693932533264, -0.8064789772033691, -2.3211474418640137, 0.7070640325546265, -0.24083730578422546, -0.8924862742424011, -1.0044907331466675, -0.1333780586719513, -0.34146589040756226, -0.38054928183555603, 0.12711314857006073, -0.425687313079834, -0.735675036907196, 0.4013567268848419, 1.5736887454986572, 0.3266076445579529, 0.31721031665802, -0.08490471541881561, 0.8311767578125, -0.01449909433722496, -0.571997880935669, -0.5290153622627258, -0.053725868463516235, -0.20032528042793274, -1.1352840662002563, 0.06125102937221527, -0.6480349898338318, 0.6593813896179199, 0.11135651916265488, 1.636335015296936, -0.370078980922699, 1.6937965154647827, 0.5541536211967468, -0.003199508646503091, 0.5201221704483032, 0.5528895258903503, 0.1618540734052658, 1.3547998666763306, -0.5008882284164429, -0.3188575208187103, 0.13673833012580872, -6.273569583892822, 0.055589765310287476, -0.07509342581033707, 0.10970056056976318, 0.30096468329429626, 0.18897229433059692, -0.27711454033851624, 0.522206723690033, -0.12792809307575226, -0.4669644832611084, 1.2696973085403442, -0.23066698014736176, -1.3300580978393555, -0.23260115087032318, 1.0164247751235962, 0.09894891828298569, -0.5029354095458984, -0.016023678705096245, -1.5619325637817383, -0.5051229000091553, -0.9145911335945129, 0.3251217305660248, 0.2987422049045563, -0.7265312671661377, 1.0736842155456543, 0.15945835411548615, -0.4598405659198761, -1.918355941772461, 0.17534857988357544, 0.7084447145462036, 0.21397963166236877, 0.8655043840408325, 0.13008108735084534, 0.31551918387413025, 0.5312075614929199, 1.0961846113204956, -0.8730435967445374, 0.1366698443889618, -0.8490737676620483, 0.19281847774982452, -0.146213099360466, -1.5417414903640747, -0.6620512008666992, 0.2966185212135315, -0.35843425989151, -0.3187585175037384, -1.216843843460083, 0.3115027844905853, -0.28388866782188416, 0.40327104926109314, -2.1045472621917725, -0.08995825797319412, 1.5852091312408447, -0.9045249819755554, -0.005777527578175068, 1.358005404472351, -0.44130808115005493, -0.7188847661018372, 0.32137855887413025, -0.42791423201560974, -0.3094131350517273, -0.7803125381469727, 0.09420013427734375, 0.21296170353889465, -0.17352509498596191, -0.2192683070898056, 1.2652748823165894, -0.04935484379529953, -0.7521765828132629, -0.8952711224555969, -0.6984810829162598, 0.5797296762466431, 1.65828275680542, -0.2632278800010681, -0.12167965620756149, -1.1101669073104858, -0.136396586894989, -0.13661819696426392, 1.0876957178115845, 0.7848013639450073, -0.4270351827144623, 0.17114682495594025, -0.72441166639328, -0.3799164295196533, -1.2065991163253784, 0.9507917761802673, -0.28063279390335083, 0.7065341472625732, 0.15403784811496735, -0.13844215869903564, 0.4425216317176819, -0.2038213014602661, 0.2747204303741455, 0.4173485338687897, -0.5466628074645996, 0.34535840153694153, 0.5722308158874512, -1.6112349033355713, -0.44855180382728577, -0.5820832252502441, -1.285587191581726, 0.5322321653366089, 1.1866008043289185, 0.49566832184791565, -0.51020348072052, 0.6019526720046997, -1.0985945463180542, 0.47522199153900146, 0.18202871084213257, -0.20291708409786224, -1.0596727132797241, 0.6650460958480835, 0.10951971262693405, -0.03952154517173767, -1.1394007205963135, 0.2819940745830536, 0.1258149892091751, -1.3185086250305176, -0.09947223961353302, -0.06116035208106041, 0.29575181007385254, -0.5910362601280212, -0.39228591322898865, 1.2770771980285645, 0.5712159872055054, -0.8187389969825745, -1.6345287561416626, -0.6897106170654297, -0.6162475943565369, -0.26027417182922363, -1.3825981616973877, -0.47271060943603516, -1.989950180053711, 0.7840819358825684, -0.20555609464645386, -0.18061602115631104, -0.10267321765422821, -0.37227484583854675, 0.19397974014282227, -0.29546022415161133, -1.1524139642715454, -0.5428438782691956, -0.3873556852340698, 1.9838998317718506, -0.40125536918640137, -0.8153374791145325, -0.03979497030377388, -0.19649501144886017, 0.9244062900543213, 0.37151145935058594, -0.3734610080718994, -0.3691273629665375, -0.534116804599762, -0.7806590795516968, 0.0279768705368042, 0.028986528515815735, 0.5434464812278748, -1.916272521018982, -0.39559856057167053, -0.47044432163238525, 0.8194431066513062, -0.8411415815353394, 0.17140908539295197, 1.2053873538970947, 1.0763188600540161, 0.698326051235199, -0.5555074214935303, -0.6873322129249573, -0.4671635925769806, 0.697789192199707, -0.1720462292432785, -0.02862338349223137, 0.06542400270700455, 0.8023062944412231, -1.3673121929168701, 1.1524052619934082, 0.6221907138824463, -0.30503326654434204, -0.560640275478363, 0.12581981718540192, 1.009407639503479, 0.8838163018226624, -0.2140727937221527, -0.17306461930274963, 0.5382565855979919, 1.7399576902389526, -0.8460807800292969, -0.6321020126342773, 0.6952143907546997, 1.2361948490142822, -0.6261671185493469, -0.0019185738638043404, -1.3961869478225708, -0.2477331906557083, 0.02227797918021679, 0.2068425714969635, -0.8926479816436768, -1.019741177558899, 0.30596786737442017, -1.2364271879196167, 0.30891743302345276, 1.1788171529769897, -0.23061315715312958, -0.2635553777217865, 0.17359401285648346, -0.42075014114379883, 0.8477393984794617, 0.6480198502540588, 0.757261335849762, 0.08957014977931976, 0.2577388286590576, -0.149353489279747 ]
1,045
0704.1047
Jerry A. Sellwood
J. A. Sellwood (Rutgers University)
Bar-Halo Friction in Galaxies III: Particle Number Requirements for Simulations
This paper has been withdrawn by the author because all the material has been included in the earlier paper astro-ph/0610468, which is now accepted to appear in ApJ
null
null
Rutgers Astrophysics Preprint #443
astro-ph
null
The question whether the dark matter halo density in the centers of galaxies could be changed through interactions with a rotating bar in the baryonic disk is of considerable current interest. While N-body simulations have been used to address this question, it has also been claimed that results from such simulations cannot be trusted. Based on a perturbative treatment of resonant exchanges between orbits and a rotating perturbation, Weinberg & Katz contend that N-body simulations of this process will not reveal the continuum result unless many more than the usual numbers of particles are employed. Here I report a study designed to examine their contention, finding results that show no dependence on the number of particles over the range usually employed up to that advocated by these authors. I show that my results are independent of all numerical parameters, and that field methods perform equally with grid methods in this respect. I also identify the reasons that the required particle number suggested by Weinberg & Katz is excessive.
[ { "created": "Sun, 8 Apr 2007 21:56:45 GMT", "version": "v1" }, { "created": "Sat, 2 Feb 2008 16:20:48 GMT", "version": "v2" } ]
2008-02-02
[ [ "Sellwood", "J. A.", "", "Rutgers University" ] ]
07
[ -0.32578596472740173, -0.8262067437171936, -0.4629420340061188, 0.15415352582931519, -0.0911140963435173, -0.10825828462839127, 0.7303560376167297, 0.6464465856552124, -0.09361585229635239, -0.18388643860816956, -0.21305373311042786, 1.279469609260559, -0.7404749393463135, 0.7428672909736633, 0.3746710419654846, 0.363543838262558, 0.7862200140953064, -1.1925455331802368, 0.8604223132133484, 0.6157675981521606, 0.6772114038467407, -0.3076069951057434, 0.14273390173912048, -0.21867305040359497, -0.7937363982200623, -0.1740957796573639, 0.7473655343055725, 0.1981607973575592, -1.0829952955245972, 0.3214883506298065, 0.3827463686466217, 0.14479802548885345, -1.1766175031661987, -0.9616590738296509, -0.4551028609275818, -0.1403263360261917, 0.6294780373573303, -0.7163689136505127, -0.42423221468925476, -0.47341302037239075, 1.2085925340652466, -0.30125388503074646, 0.13492491841316223, -0.4044860601425171, -1.4985532760620117, -1.107983946800232, 0.1916026473045349, -1.5612297058105469, 0.26904919743537903, 0.7063751816749573, 1.1161938905715942, -0.6859625577926636, 0.5170406103134155, 0.8221592307090759, -0.6134700179100037, -0.38882875442504883, -1.3197263479232788, 0.10689655691385269, 1.5822030305862427, -0.715949535369873, 0.4683645963668823, -0.5448888540267944, -0.6026490926742554, -0.7016445994377136, -0.011181841604411602, -0.4444808065891266, -0.7561395168304443, 0.44647061824798584, 0.0009620538912713528, 0.3279312551021576, 0.7023106813430786, -1.3318084478378296, -0.12944039702415466, 0.23144489526748657, -0.8704708814620972, 0.2909756302833557, -0.43915802240371704, 0.44699203968048096, 0.8424102663993835, -0.3670813739299774, 1.4005656242370605, 1.3989732265472412, 0.051744624972343445, -0.35482439398765564, 0.23238056898117065, -0.36936333775520325, 0.7286971807479858, -0.23467174172401428, -1.451281189918518, -1.430109977722168, -0.019811585545539856, -0.6555384397506714, 1.017551064491272, -0.9018514752388, -0.2647680938243866, 0.1266816258430481, -0.49626079201698303, 1.0805960893630981, 0.06694471836090088, 0.5295987129211426, 0.20632599294185638, 1.1195846796035767, 0.1719425916671753, -0.26609331369400024, 0.29199060797691345, -0.3065553903579712, 0.298933744430542, -0.5413727164268494, -0.3448433578014374, 0.15946657955646515, -0.04889428988099098, -0.7424130439758301, -0.6468340754508972, 0.031179923564195633, -0.015452992171049118, 0.18976493179798126, -0.5270957946777344, 0.24740758538246155, 0.10497471690177917, 1.2430123090744019, -0.0824122205376625, 0.028012556955218315, -0.44579851627349854, 0.20224104821681976, 0.1568700671195984, 0.5784277319908142, 0.397258460521698, -0.11971639096736908, -0.21608932316303253, -0.13533036410808563, 0.1052127331495285, 0.005415492691099644, -1.5342990159988403, 1.0978355407714844, -0.6709232330322266, 0.07405859977006912, -0.3064136803150177, 0.2600940763950348, 1.3979119062423706, -1.541068196296692, -0.4517619013786316, -0.42040786147117615, -0.486691415309906, -0.5239003896713257, -0.0011067824671044946, 0.3631301820278168, 0.36596816778182983, 1.0782617330551147, 0.5457656979560852, -1.7158414125442505, -0.39704710245132446, -0.5792813301086426, 0.71920245885849, -1.15179443359375, 1.2051137685775757, -0.43076902627944946, 0.22027859091758728, 0.6584768295288086, 0.09008359163999557, 1.363435983657837, 0.9619054198265076, -0.7814317941665649, 0.291005402803421, -1.5685291290283203, -0.1535695493221283, -0.8519389033317566, -0.9148378372192383, -1.0623033046722412, -0.7650758028030396, -0.5302989482879639, -0.48954346776008606, 1.058827519416809, -0.11172431707382202, 1.2246397733688354, -0.3076121211051941, 0.042133986949920654, 1.1258060932159424, -0.11674168705940247, -0.3931569755077362, 0.20893746614456177, 0.49349498748779297, -0.34405961632728577, -1.680786371231079, 0.870507538318634, 0.06431794911623001, -0.6234678626060486, 0.16145220398902893, -0.3080681562423706, 0.2893712520599365, -0.4303693175315857, 0.35574445128440857, -0.6067461371421814, -1.9233412742614746, 0.9506171345710754, 0.1985064446926117, 0.2878071665763855, 0.4426545798778534, -0.4346006214618683, 0.01358964666724205, -1.6657843589782715, 1.2208096981048584, -0.1115315705537796, -1.4007863998413086, 0.4373213052749634, -0.852580189704895, 0.7071055173873901, 0.7420433759689331, 0.32454293966293335, -0.28766193985939026, -0.6630345582962036, -0.13118620216846466, -0.11066845804452896, -0.07063420116901398, -0.520757794380188, 0.039021965116262436, -0.3023677170276642, -0.04292362183332443, -0.27226346731185913, 0.0661231130361557, -0.22517381608486176, 0.43514031171798706, 0.6267107129096985, 0.919022798538208, 0.3994753062725067, -0.2311907261610031, -0.4974050521850586, 0.19591124355793, -0.7652489542961121, -0.35965895652770996, 0.16810725629329681, -1.3167206048965454, -1.2124565839767456, -0.36230117082595825, -0.7676301598548889, -0.22383855283260345, 0.3639025390148163, -0.18247614800930023, -0.04725334048271179, -0.4572710394859314, 0.9187665581703186, 0.37122443318367004, -0.5547612905502319, 1.3257440328598022, 0.549083411693573, -0.4042775630950928, -0.007839532569050789, 0.2180938869714737, 0.855179488658905, 0.08354693651199341, 0.1045198142528534, 0.12393667548894882, 0.3648441731929779, 0.3477564752101898, -0.5320038199424744, -0.22224116325378418, -0.004146359395235777, -0.3323292136192322, -1.171337366104126, 0.1712065190076828, 0.2328435182571411, -1.0869636535644531, -0.3716793656349182, 0.5514767169952393, -0.11570458859205246, 0.06966490298509598, -0.3038720190525055, 0.17561736702919006, -0.9441183805465698, -0.8904240131378174, 1.2120130062103271, 0.6002160310745239, -0.7767083048820496, 0.18967634439468384, 0.8992123603820801, -0.5657565593719482, 0.019233129918575287, -1.4575344324111938, -0.5392125844955444, -1.330782175064087, -0.4683246612548828, -0.7025136947631836, -0.16049255430698395, 0.5085917115211487, 1.0048267841339111, -2.0943994522094727, -0.5527269840240479, 1.2666985988616943, -0.7500714659690857, 0.33455994725227356, -0.7168511152267456, -0.8545384407043457, 0.48834773898124695, 0.7984846234321594, -1.024846076965332, 0.4321317672729492, -0.2458370476961136, 1.1745086908340454, -0.9034968614578247, -0.2821967601776123, -0.36800920963287354, -0.14270606637001038, 0.20780442655086517, 0.5065014362335205, 0.6274385452270508, 2.813312530517578, -0.23605218529701233, -0.8880774974822998, 0.8747119903564453, -0.30066153407096863, 0.7241402864456177, -0.0030567545909434557, -0.34921762347221375, 0.47545120120048523, 1.0674835443496704, -0.03782051429152489, -0.15800189971923828, 0.13442300260066986, 0.5645948052406311, -0.6582470536231995, -1.582390546798706, 1.015048861503601, 0.43698108196258545, 0.0511266253888607, 0.7426412105560303, -1.0684300661087036, -1.0231049060821533, 0.06388792395591736, 0.10697104781866074, 0.993241548538208, 0.20159222185611725, -0.08391063660383224, 0.4193005859851837, -0.19229456782341003, 0.5036528706550598, -0.25579190254211426, -1.2115777730941772, -0.19119450449943542, -1.0420345067977905, -0.5384989380836487, 0.4758699834346771, -0.8046209216117859, -0.27562788128852844, 0.7954263091087341, -0.22899210453033447, -0.5876199007034302, 0.7624992728233337, -0.8684809803962708, 0.14377480745315552, 0.18672291934490204, -0.3879997134208679, -0.026303116232156754, -0.08503194898366928, 0.9178711771965027, 0.5037194490432739, 0.28404489159584045, -0.11207238584756851, 0.8731065988540649, -1.3774369955062866, 0.5998638272285461, 1.5091707706451416, -0.4028942584991455, 1.3158928155899048, -0.20028428733348846, -0.301801472902298, 0.7217071056365967, -0.6280370354652405, -0.3701719045639038, -0.37639766931533813, -1.5695703029632568, -0.6195513606071472, -1.5232244729995728, 0.14217624068260193, 0.8290852904319763, -0.5022857785224915, -0.017787231132388115, 0.14019756019115448, -0.5679891705513, -0.06239321827888489, 0.5462397933006287, -0.2826741635799408, 0.13508974015712738, 1.338720679283142, 0.36748847365379333, -0.21793939173221588, -0.10464377701282501, -0.7262389063835144, 0.36177417635917664, -0.0616530105471611, 0.5577653050422668, 0.07902317494153976, -0.435548335313797, 0.048773955553770065, 0.08092226088047028, -0.7073005437850952, -0.6991562247276306, -0.2519133985042572, 1.5429998636245728, 0.5319974422454834, 0.07882794737815857, 0.10151142627000809, 0.2615472376346588, -0.5829824805259705, -0.5171771049499512, -0.8929173946380615, 0.5545190572738647, 0.8709651231765747, -0.07434689998626709, -1.1833391189575195, -0.7653911709785461, 0.8594385981559753, -0.7933231592178345, 0.3210448920726776, -0.48630639910697937, -0.3471863567829132, 0.008822725154459476, 1.0740636587142944, -0.4789438545703888, 0.9096850156784058, 0.6913599967956543, -0.5248100757598877, 0.3198506832122803, -0.73492032289505, -0.3563551604747772, -0.1570325642824173, 0.07882895320653915, -0.7071143388748169, 0.3720991611480713, 0.27168983221054077, 0.36944273114204407, 0.0773303285241127, -1.2445334196090698, 0.4159063994884491, -0.2668459415435791, -0.9407138824462891, 1.0920515060424805, 0.4654850661754608, 1.0447090864181519, -0.3728807270526886, -0.2626911699771881, -0.26395320892333984, -1.3888882398605347, -0.48986250162124634, -0.4228334426879883, -0.8534907102584839, -1.6062475442886353, -0.19234280288219452, -0.6219951510429382, 0.9935670495033264, 0.5075328350067139, 0.5377832651138306, 0.042636990547180176, -0.6414544582366943, 0.2359570413827896, 1.3233649730682373, 0.003410148434340954, -0.40843477845191956, -1.2052950859069824, -0.3461889922618866, -1.208005428314209, 0.05706328526139259, -1.0182256698608398, 0.045054610818624496, 0.027169376611709595, 0.5057603716850281, 0.4426378905773163, -0.4680412709712982, 0.6317151188850403, -0.9891006946563721, -0.5585319399833679, 0.7898887395858765, 0.17607775330543518, -0.8932703137397766, -0.9241107106208801, -1.3771487474441528, 0.10147646069526672, 1.0219649076461792, 1.7250819206237793, 0.32906869053840637, 0.7659644484519958, 0.12068497389554977, -0.8584868311882019, 1.6809196472167969, 0.20410804450511932, -0.28832685947418213, -1.2936232089996338, 0.46717551350593567, 0.510340690612793, 0.6275395750999451, 0.6444392800331116, 0.018857857212424278, 0.698884129524231, -0.44315990805625916, 1.0047743320465088, 0.8989963531494141, -0.40487805008888245, 0.5032666325569153, -0.19530963897705078, 1.030112385749817, 0.5260605812072754, 0.061464302241802216, 0.8792967796325684, 1.1981137990951538, 0.06957738846540451, 0.34157657623291016, -2.0011489391326904, -0.5041987299919128, 0.796513020992279, 1.1898547410964966, 1.462376594543457, 1.084692358970642, 0.6834157109260559, 0.7936656475067139, 0.8098121285438538, 0.2392115443944931, 0.30701130628585815, 0.3597823679447174, -1.2913914918899536, -3.325978994369507, -0.765850305557251, -0.31527501344680786, -1.3322774171829224, -0.5242109894752502, -0.8747673630714417, 1.096787691116333, -0.47654321789741516, 0.219502791762352, -0.7710192799568176, 0.7105672955513, -1.3607951402664185, -0.2978890836238861, -0.6472570300102234, 0.7611307501792908, 0.025424834340810776, 0.25226354598999023, -0.3134155869483948, -0.26113998889923096, -0.18212772905826569, 1.1065871715545654, -0.6314905881881714, -0.7186503410339355, 0.15574681758880615, 1.3556761741638184, 0.9644957780838013, -1.5230668783187866, 0.7939943075180054, -0.3093980550765991, 0.07126636058092117, 0.36440563201904297, 0.647293210029602, -1.2456719875335693, -1.309244155883789, -0.2690451741218567, -0.14963553845882416, 0.044691964983940125, 0.46103399991989136, -0.1977866291999817, -7.88862419128418, -0.015337873250246048, -0.5270339250564575, 0.17048083245754242, 0.12879252433776855, -1.9785380363464355, -0.47562375664711, 0.5888305902481079, 0.2815433442592621, 1.2945832014083862, 0.4177508056163788, 0.07446716725826263, 0.2676999568939209, 0.42260104417800903, 0.593697726726532, -0.7735251784324646, 0.15399275720119476, -0.6848149299621582, 0.3317974805831909, 0.7712805271148682, -0.2522948086261749, 1.3599392175674438, 0.005694384220987558, 0.27572694420814514, -0.14565235376358032, -0.5783931612968445, -0.03659655153751373, 0.7175853848457336, 0.6983246803283691, 0.03961474820971489, -0.9082987308502197, 0.45346799492836, -0.5257260799407959, 0.025724083185195923, 0.3647115230560303, -0.025311196222901344, -0.7370039224624634, 0.32757532596588135, 0.7106398940086365, 0.7984110116958618, 0.23727190494537354, 0.4456220269203186, -1.0969090461730957, 0.3840503692626953, -0.6958146095275879, -0.17753803730010986, -0.36060476303100586, -0.20782019197940826, 0.09903619438409805, -0.10543898493051529, -0.07498354464769363, -0.3116462230682373, 0.6577471494674683, 0.596113383769989, 0.6140278577804565, -0.45467421412467957, 0.23960000276565552, 0.16518862545490265, -1.5124355554580688, -1.020599603652954, 0.32393404841423035, 0.3877139091491699, -0.701977550983429, -0.36185550689697266, 0.2188815176486969, -0.5031081438064575, -0.6410320997238159, 0.03944580629467964, 0.1090540662407875, 0.07841645926237106, -0.10306130349636078, -0.79193514585495, -0.9324672222137451, -0.15677638351917267, -0.020333182066679, -0.04948050156235695, -0.6835000514984131, 0.6087356209754944, -0.44059738516807556, 1.2371127605438232, 0.908603310585022, -0.6555225849151611, 0.6835036277770996, 0.783721387386322, 0.22079606354236603, -1.026554822921753, -0.0187272559851408, -0.3972305357456207, 0.1807125061750412, -0.4411998987197876, -0.2703568935394287, 0.08772715926170349, 0.6133117079734802, 0.037242237478494644, -0.5205639004707336, -0.19578076899051666, -0.0005236767465248704, -0.8797274827957153, -0.1687137633562088, -0.04971180111169815, -0.8408328294754028, 0.05390327051281929, 0.6462567448616028, 0.6098769307136536, 1.0391089916229248, -0.23625080287456512, -0.9156864285469055, -0.20600201189517975, -0.7139914035797119, -0.6685188412666321, 0.7091212272644043, 0.18072660267353058, -0.0625409334897995, -1.5585755109786987, -0.2592925429344177, -0.9984219074249268, -0.36148524284362793, 1.0703116655349731, 0.15481239557266235, -0.562364399433136, 0.3416558802127838, 0.05530508607625961, -1.3437886238098145, 0.027959590777754784, 1.3666669130325317, -0.399082213640213, -0.3316875696182251, -1.0588465929031372, -0.6455022692680359, -0.300430029630661, -0.309939980506897, -0.0271600391715765, 1.1021474599838257, -0.4978196620941162, -1.3033065795898438, -0.0018649627454578876, 0.5446956753730774, 0.3344166576862335, -0.44999295473098755, -0.36838576197624207, 1.4125210046768188, -0.6134354472160339, 0.15670844912528992, -0.344443678855896, 0.06773705035448074, -0.5650752782821655, 0.05325700342655182, -0.11988899111747742, -0.8612589240074158, 0.6216646432876587, 0.4027501940727234, 0.6354201436042786, 0.1675816774368286, 2.2821524143218994, -0.046727389097213745, -0.686622142791748, -0.08434638381004333, 0.4445393979549408, -0.2488945722579956, -0.6092665195465088, -0.387382835149765, 0.9010028839111328, -0.3478422462940216, -0.757737934589386, -1.424987554550171, -0.068350650370121, -0.4527699053287506, 1.695845127105713, 1.76462984085083, 0.390861451625824, -0.4624931812286377, 1.0015603303909302, -0.6579082012176514, -0.07968749850988388, 0.9654480814933777, 0.26015880703926086, -0.7743641138076782, 0.12430297583341599, 0.06062574312090874, -0.5522639155387878, 0.22981689870357513, -0.4504280984401703, 0.7816444635391235, 0.08068708330392838, 1.3001558780670166, -1.0207524299621582, -1.266033411026001, 0.6491715312004089, 0.832683801651001, 0.5637006163597107, 0.13233347237110138, 0.4957546293735504, -0.8722612261772156, -0.16505278646945953, -0.8011277914047241, 0.31280258297920227, -0.2098010927438736, 0.28832539916038513, 0.08965478837490082, -1.5364032983779907, -0.7126660943031311, -0.3528161346912384, 1.6467218399047852, -0.2760730981826782, 0.5263406038284302, 0.5395071506500244, -0.6400562524795532, -0.2455819994211197, -0.6246498823165894, 0.22969551384449005, -1.0561200380325317, -0.16155634820461273 ]
1,046
0704.1048
Jochen Geck
J. Geck, S.V. Borisenko, H. Berger, H. Eschrig, J. Fink, M. Knupfer, K. Koepernik, A. Koitzsch, A.A. Kordyuk, V.B. Zabolotnyy, and B. Buechner
Anisotropic quasiparticle renormalization in Na0.73CoO2: role of inter-orbital interactions and magnetic correlations
null
Phys. Rev. Lett. 99, 046403 (2007)
10.1103/PhysRevLett.99.046403
null
cond-mat.str-el cond-mat.mtrl-sci
null
We report an angular resolved photoemission study of Na0.73CoO2 where it is found that the renormalization of the quasiparticle (QP) dispersion changes dramatically upon a rotation from GM to GK. The comparison of the experimental data to the calculated band structure reveals that the QP-renormalization is most pronounced along the GK-direction, while it is significantly weaker along the GM-direction. We discuss the observed anisotropy in terms of multiorbital effects and point out the relevance of magnetic correlations for the band structure of Na0.73CoO2.
[ { "created": "Mon, 9 Apr 2007 03:17:18 GMT", "version": "v1" }, { "created": "Tue, 10 Apr 2007 03:38:59 GMT", "version": "v2" } ]
2011-11-09
[ [ "Geck", "J.", "" ], [ "Borisenko", "S. V.", "" ], [ "Berger", "H.", "" ], [ "Eschrig", "H.", "" ], [ "Fink", "J.", "" ], [ "Knupfer", "M.", "" ], [ "Koepernik", "K.", "" ], [ "Koitzsch", "A.", "" ], [ "Kordyuk", "A. A.", "" ], [ "Zabolotnyy", "V. B.", "" ], [ "Buechner", "B.", "" ] ]
07
[ 0.09569963067770004, 0.00934586487710476, -0.1707460582256317, 2.095216989517212, 0.22975562512874603, 1.427561640739441, -0.19852983951568604, 0.7206552624702454, -1.1270394325256348, -0.38414615392684937, 0.29100173711776733, -1.2230417728424072, 0.05508745089173317, -0.6612954139709473, -1.2128865718841553, 0.9163645505905151, 0.8618955612182617, -0.5784737467765808, 0.9464980363845825, 0.475267231464386, 0.39358359575271606, -1.5163933038711548, -0.2458120882511139, -0.3733382821083069, -0.06988993287086487, 0.31484779715538025, -0.5826290249824524, 0.2301415652036667, 0.4203266203403473, -1.3519974946975708, 0.5306537747383118, -0.34625834226608276, 0.06177610158920288, -0.36119556427001953, -0.3859962522983551, 0.821692943572998, 1.0991249084472656, -0.9229840636253357, 0.347472608089447, 0.02463480457663536, 0.6954787373542786, 0.5589215755462646, -0.35899484157562256, 0.3068529963493347, -2.287283182144165, -0.18056830763816833, -0.4870184659957886, -0.8428896069526672, 0.02752789296209812, -0.691037118434906, 0.1972663700580597, 1.2906197309494019, 0.28912144899368286, 0.6988808512687683, -0.2761252820491791, 0.42379358410835266, -1.847015142440796, 0.997085452079773, 0.36529621481895447, -0.18172334134578705, -0.285918653011322, -0.1640716940164566, 0.5806146860122681, -1.0133659839630127, 0.08862205594778061, 0.33250513672828674, -0.12699571251869202, -0.005872303154319525, -0.29240915179252625, 0.09679795801639557, 0.9195643663406372, -1.5655903816223145, 0.30951857566833496, -0.36532121896743774, -0.7037560939788818, 1.183212399482727, 0.21413367986679077, -1.0594807863235474, 1.0410453081130981, 0.09131006896495819, -0.5079970955848694, 0.5518679618835449, 0.041402485221624374, -0.9879579544067383, -0.5287640690803528, -0.8904411792755127, 1.4022046327590942, 0.4923720359802246, 1.6957335472106934, -0.024053208529949188, 0.2746235132217407, -0.024620024487376213, 1.239091157913208, -0.20566879212856293, -0.19039671123027802, 1.415972113609314, -0.981251060962677, -0.5260077714920044, 0.05334463343024254, 1.354911208152771, 0.32012322545051575, -0.3994657099246979, -0.18780146539211273, -0.5648816227912903, 0.38574862480163574, 0.5644873380661011, 0.6722424626350403, -1.0357296466827393, -0.5057129263877869, 0.6892085671424866, -0.22632618248462677, -0.7612689733505249, -0.18216107785701752, 1.045488953590393, 0.8256728053092957, 0.8091583847999573, -0.7293840050697327, 1.5780025720596313, 0.6321432590484619, -0.3927345275878906, -0.5608827471733093, -0.11409004777669907, 0.20368357002735138, -0.37208864092826843, 0.5856061577796936, -0.12467781454324722, -1.075669288635254, 0.35868731141090393, 0.5526872873306274, 0.29394954442977905, -0.5919849872589111, 0.29474446177482605, -0.15840604901313782, 0.4136866629123688, 0.687877893447876, 0.3775336742401123, 0.6035930514335632, -0.39406853914260864, -0.14936845004558563, 0.3481905460357666, -0.32017993927001953, -0.38128718733787537, -0.005716509185731411, -0.388400137424469, 0.7205681800842285, -0.6064820289611816, -0.4292483925819397, -0.37650567293167114, -0.8672359585762024, -1.7271188497543335, -1.383150577545166, -0.8868789076805115, 0.4719233810901642, 1.0515023469924927, 0.6242197751998901, -0.8942307829856873, 0.3036680221557617, 0.6819738149642944, -0.3561231791973114, 2.477351427078247, 1.3143103122711182, -0.7483651638031006, -0.7243638038635254, -1.619224190711975, 0.009688692167401314, 0.33484572172164917, 0.21748051047325134, 0.23050208389759064, -0.036272820085287094, 0.763336718082428, -0.7973817586898804, -0.7359400391578674, 0.09253723919391632, -0.9804490208625793, -0.42163026332855225, -1.0729105472564697, 0.17686796188354492, -0.8135017156600952, -0.48000001907348633, 0.05522722378373146, -0.44687825441360474, -1.1302130222320557, -0.05305827781558037, -0.5414608716964722, -0.5891236662864685, 0.9720401763916016, 0.04008869454264641, -1.4523775577545166, 1.0394800901412964, 1.5411291122436523, -0.4991138279438019, -0.1251184344291687, -1.125719428062439, -0.5908800363540649, 0.9891252517700195, 0.4398767054080963, -0.0046213786117732525, 0.6860308647155762, -0.39179569482803345, -0.4213251769542694, -1.5314555168151855, 0.8969535231590271, -0.4717780351638794, 0.23889049887657166, -1.6133064031600952, 1.1946265697479248, 1.053983449935913, 0.19023239612579346, -0.7388041019439697, -0.0694374218583107, -0.2898781895637512, 0.41101473569869995, -0.32836467027664185, -0.7193761467933655, 0.10849831998348236, -0.8030074238777161, -1.3508707284927368, -0.5212954878807068, -0.06799072027206421, -1.827640175819397, -0.7192347645759583, 0.4549093544483185, 0.7793327569961548, 0.10239575058221817, -0.09535441547632217, -0.4018445611000061, -0.6571729779243469, -0.06818532943725586, -0.5236920118331909, -0.764190137386322, 0.07173549383878708, -0.9208778738975525, 0.1811227947473526, -1.3036295175552368, 0.5215442776679993, 1.5098724365234375, -0.2755401134490967, -0.7593585848808289, -0.6265063881874084, -1.304702877998352, -0.9544705152511597, 0.8169421553611755, 1.1099539995193481, 0.6493239402770996, 0.1532902866601944, 0.6008639931678772, 0.15182945132255554, -0.3410840928554535, 0.8989835381507874, -0.050824739038944244, -0.05655476450920105, 0.46201154589653015, 0.7712634205818176, -1.2902601957321167, 0.249333456158638, -0.01218454260379076, -0.030875688418745995, -0.8397287726402283, -0.23884201049804688, 0.30605190992355347, 0.34908872842788696, -0.7542145252227783, 0.7832348346710205, -0.14806044101715088, 0.17149829864501953, -0.05294061079621315, -1.3039060831069946, 0.0666092112660408, 0.564055860042572, -0.50290846824646, -0.9037346243858337, 0.5534998178482056, 0.2205296754837036, 1.4174493551254272, -0.07345382124185562, -0.33105289936065674, 0.232096865773201, -0.008573167957365513, 0.18994222581386566, 0.2426065057516098, 0.23482714593410492, -0.785832405090332, 0.9013316035270691, -0.12315046787261963, 0.3011678457260132, 1.044994592666626, 1.29505455493927, -0.8635553121566772, -0.50205397605896, 0.18756356835365295, 0.08684030175209045, -0.23168615996837616, 0.03324134275317192, 0.8429896235466003, 1.310392141342163, 0.04183249548077583, 1.581286907196045, -0.6219766139984131, 0.5660429000854492, 0.11391012370586395, -0.0341612733900547, 0.7188637256622314, 0.5986208915710449, 0.042504891753196716, 1.4471981525421143, -0.0822957456111908, -0.3143748939037323, 0.7200171947479248, -0.9768678545951843, -0.823320746421814, -0.08327343314886093, 1.750293493270874, -0.015578561462461948, -0.7457065582275391, 0.25736716389656067, -0.06950093805789948, 0.2075168937444687, -0.4998776316642761, 0.4448148012161255, -0.6449745297431946, 0.6142284274101257, 0.37534141540527344, -0.49370312690734863, 0.6142290830612183, 0.4383224546909332, -0.47965386509895325, 1.0217005014419556, -0.3866366744041443, 0.9403550624847412, 0.2054206281900406, 0.7023850679397583, 0.14837586879730225, -1.410436749458313, 0.5688509941101074, 0.4384326636791229, 0.1204419806599617, 0.5745534300804138, 0.08062727749347687, 0.15436437726020813, -1.1462571620941162, -0.02444363385438919, 0.8385871052742004, 1.5826808214187622, 0.9429144263267517, -1.8293393850326538, -0.7750933170318604, -0.8022922873497009, 0.6315804719924927, 0.5627845525741577, 0.1261490285396576, -0.6340029239654541, 0.43841543793678284, 0.9331965446472168, -1.1316542625427246, -0.7561697959899902, -0.29001396894454956, 0.4642874300479889, 1.211300253868103, 0.1511106938123703, 0.3443446159362793, -0.8426026701927185, -1.202616572380066, 0.3632086515426636, -0.4394666254520416, 0.142655611038208, -0.48466694355010986, -0.2599107325077057, -1.749969244003296, 0.015168901532888412, -0.18392536044120789, -1.056200385093689, 0.3776983320713043, 0.2857232689857483, -1.2420165538787842, -1.3828747272491455, 0.2689671516418457, -0.2884976863861084, 0.9195452928543091, -0.40025052428245544, -0.47960296273231506, 0.8755568861961365, -0.7571396827697754, 1.3551840782165527, -0.49527305364608765, -0.7905368804931641, 0.1380816251039505, 0.10592038929462433, 0.13173061609268188, -0.019943585619330406, -0.17883658409118652, -0.7459418177604675, 0.1170349270105362, 0.1317977011203766, -0.06121828779578209, -0.6271489858627319, 1.2985152006149292, 1.882902979850769, 0.6324847936630249, -0.4692212641239166, -0.09342537820339203, -0.6266876459121704, -0.7581825256347656, -1.258577823638916, -0.5016914010047913, -0.8461368680000305, 1.0277888774871826, -0.5264509320259094, 0.1482415348291397, -1.058005928993225, 0.7497679591178894, -0.8685523271560669, 0.34290677309036255, 0.9581947922706604, -0.48548057675361633, -0.027026260271668434, -0.24355925619602203, -0.25542813539505005, 0.2340860217809677, -1.4091763496398926, 0.537564218044281, 0.040757548063993454, 0.33804240822792053, -0.7006357908248901, -0.031160125508904457, 0.60049968957901, 1.1308977603912354, -0.09059424698352814, -0.8839958310127258, 0.8181552290916443, -0.302815705537796, 0.47949594259262085, 0.4944588840007782, -0.41610339283943176, 0.8527097105979919, 0.4099968373775482, -1.9998912811279297, 0.6759690046310425, 0.8323227167129517, -0.9620676040649414, 0.15735788643360138, 0.3978039622306824, 0.4375030994415283, -0.736798882484436, -0.4728471636772156, -0.11410312354564667, -1.1778786182403564, -1.3103444576263428, 0.8896225094795227, -0.8977921605110168, -0.4349525272846222, -0.3654623329639435, -0.9503817558288574, 0.0003116158477496356, 0.1701926290988922, -0.6077504754066467, -0.25375980138778687, -0.9922909736633301, 0.7004010081291199, -0.34082165360450745, 0.7751991748809814, -0.2198135107755661, -0.4326253831386566, -0.21201235055923462, -0.20020347833633423, 0.2619805335998535, -0.5071867108345032, 0.5526100397109985, -0.47038915753364563, -0.715957522392273, 0.2437678724527359, 0.887778639793396, -0.16099593043327332, 1.2021082639694214, -0.7552124261856079, 1.00320303440094, -0.7304083108901978, 1.101442575454712, 0.9983885288238525, 0.6564931869506836, 0.2048981636762619, 0.8476851582527161, -0.4405844509601593, -0.927649199962616, -1.093987226486206, -1.085150122642517, 0.04211578518152237, -0.43114471435546875, -0.2401835173368454, -0.05539337173104286, 0.537757158279419, 0.8802722096443176, 0.19562962651252747, 1.0638341903686523, 0.7872984409332275, 0.15543527901172638, 0.5859377980232239, -0.9159173369407654, -1.4272713661193848, 0.166899636387825, -0.48654863238334656, -0.16563060879707336, 1.258008360862732, 0.05773959681391716, -0.1849571019411087, -0.005929337348788977, 0.055323246866464615, -0.5616338849067688, -0.32456737756729126, -0.2050977200269699, 1.1081898212432861, 0.19671620428562164, 0.13357362151145935, 1.0216647386550903, 0.29495373368263245, 0.5122641324996948, -0.4510461390018463, -0.3258380889892578, -2.5150625705718994, 0.11244115978479385, -1.0149277448654175, -0.51022869348526, -1.4217699766159058, -0.3437420725822449, -0.6091759204864502, -0.8442795872688293, -0.21958576142787933, 0.3357623517513275, -0.7290912866592407, 0.46583089232444763, -0.4556657373905182, -1.010775089263916, 0.3625238537788391, 0.43562987446784973, 0.42269977927207947, 0.825306236743927, -0.15258824825286865, -0.172480508685112, -0.8772748708724976, -0.24237442016601562, 0.409483939409256, 0.7051441669464111, -1.369586706161499, 0.13685210049152374, -0.12541231513023376, 0.9605528712272644, -0.042161885648965836, -0.5194027423858643, -0.27257370948791504, -0.39471134543418884, -0.46181556582450867, -1.7205067873001099, -0.63535076379776, 0.08934635668992996, -1.348563551902771, -1.643491268157959, 0.9516647458076477, -7.2422566413879395, -1.432663083076477, -0.7297465205192566, 0.03808801248669624, 0.7014473080635071, -1.856214165687561, -0.0824185386300087, 0.03721749782562256, -0.4039252996444702, 0.8324769139289856, 0.4645494222640991, 0.07490485906600952, -0.12001953274011612, -1.4659427404403687, -1.1750082969665527, 0.4747612178325653, -0.2806006371974945, -0.20558424293994904, -0.09808236360549927, -0.6256378293037415, -0.07621695101261139, 0.5441965460777283, -0.010919300839304924, -0.2479400932788849, 0.6313743591308594, 0.3635568618774414, 0.4878034293651581, -1.2529476881027222, 0.772650957107544, -0.4706780016422272, -0.261015385389328, -0.7451785802841187, 0.4005430042743683, 0.7208486795425415, 1.1296703815460205, 0.03616722673177719, 0.3270801603794098, 0.07055456191301346, 0.4138387143611908, -0.009973566979169846, 0.4660680890083313, 1.174678087234497, -0.13405823707580566, -1.3327782154083252, -0.4502219557762146, 1.0450433492660522, -0.13452503085136414, -1.1727206707000732, 0.6157306432723999, 1.1346323490142822, -0.4163491129875183, -0.2589721977710724, -0.2902849316596985, 0.37479376792907715, -0.5661983489990234, -0.08268429338932037, -1.330788493156433, 0.48610132932662964, -0.9747830629348755, -0.217263326048851, -0.36517131328582764, 0.6469611525535583, 0.301323264837265, 0.19881881773471832, 0.2135428488254547, -0.09421934187412262, 0.17008718848228455, 0.01036735251545906, 0.13229231536388397, 1.0769776105880737, 0.7899508476257324, -1.5893864631652832, -0.0297181848436594, 0.7193810343742371, 1.089032530784607, -0.3796076476573944, -0.5277330279350281, -0.12963895499706268, -0.7202305793762207, 0.7778863906860352, 1.1852790117263794, 1.2890970706939697, 0.35963141918182373, 0.8267751336097717, 0.009424746967852116, -0.7464756369590759, 0.24462462961673737, -0.8087117671966553, -0.5476729273796082, 0.4671882092952728, -0.01637725532054901, 0.9105587005615234, 0.37000009417533875, -0.16259317100048065, -0.5219256281852722, -0.10155106335878372, 0.5100405216217041, -0.7478912472724915, -0.03142765909433365, 0.028713099658489227, -0.5718544721603394, -1.0007679462432861, -0.7118332982063293, 1.4240734577178955, 0.018245048820972443, 0.3068297803401947, -0.4408673048019409, 0.076747827231884, -0.7088106274604797, 0.8332837224006653, 1.2841181755065918, -1.0885475873947144, 0.8595970273017883, -0.44911155104637146, -1.9823256731033325, 0.5274448394775391, -1.163044810295105, -0.23096902668476105, -0.5946905016899109, -0.048071593046188354, -0.5976232290267944, 0.5661181807518005, 0.19209139049053192, -0.9422475099563599, 0.4088425636291504, -0.18035216629505157, 1.368011713027954, -0.20393475890159607, -0.2518531084060669, 0.3734489977359772, 0.39623332023620605, -0.01369682140648365, 0.8241344690322876, -0.7665210962295532, -0.06127843260765076, -1.0729081630706787, -0.1482245773077011, 0.17184944450855255, -0.17558929324150085, -0.6607452630996704, 0.39465782046318054, 1.238495945930481, 0.4123069643974304, 0.10280453413724899, 0.10547178983688354, -0.878879964351654, -0.3449835181236267, -0.5339391827583313, -1.1342549324035645, -0.6019500494003296, -0.7130252718925476, -0.13668404519557953, -0.20954576134681702, 0.5061934590339661, 0.12750500440597534, 0.036798860877752304, 0.034823622554540634, -1.012389063835144, 0.30401214957237244, 0.22593168914318085, -0.31402483582496643, 0.5473997592926025, -0.30667781829833984, -1.4281541109085083, -1.0022144317626953, 0.2846488356590271, -0.020971883088350296, 0.5988709926605225, -0.7063029408454895, 0.4497342109680176, -0.32301679253578186, 0.57335364818573, 0.02719253860414028, -0.9397011399269104, 0.46822208166122437, 0.7714551687240601, -0.7501567006111145, 0.20191590487957, -0.6145656704902649, 0.42572638392448425, -0.9209191799163818, 1.3072611093521118, -0.06106530502438545, 0.6546035408973694, -0.5705910325050354, -0.19981177151203156, 0.25337108969688416, -0.8653256297111511, -0.29878318309783936, 0.1958746314048767, 0.0008193796966224909, -0.2635311484336853, 0.10503151267766953, -0.463301420211792, 0.08063624799251556, 0.7050039172172546, -0.2657835781574249, 0.9756933450698853, 0.37605956196784973, 0.6933220028877258, -1.4959908723831177, 2.1915924549102783, 0.0694645494222641, -0.8459193706512451, 0.7371264696121216, 1.2193553447723389, -0.6686278581619263, 0.14129342138767242, -0.2303604632616043, -0.1502181440591812, -0.42446473240852356, -0.45788776874542236 ]
1,047
0704.1049
Hai-Yang Cheng
Hai-Yang Cheng, Chun-Khiang Chua, Amarjit Soni
Charmless Three-body Decays of B Mesons
39 pages, 2 figures, version to appear in PRD
Phys.Rev.D76:094006,2007
10.1103/PhysRevD.76.094006
null
hep-ph hep-ex
null
Charmless 3-body decays of B mesons are studied in the framework of the factorization approach. The nonresonant contributions arising from $B\to P_1P_2$ transitions are evaluated using heavy meson chiral perturbation theory (HMChPT). The momentum dependence of nonresonant amplitudes is assumed to be in the exponential form $e^{-\alpha_{NR}} p_B\cdot(p_i+p_j)}$ so that the HMChPT results are recovered in the soft meson limit $p_i, p_j\to 0$. In addition, we have identified another large source of the nonresonant signal in the matrix elements of scalar densities, e.g. $<K\bar K|\bar ss|0>$, which can be constrained from the decay $\bar B^0\to K_SK_SK_S$ or $B^-\to K^-K_SK_S$. The intermediate vector meson contributions to 3-body decays are identified through the vector current, while the scalar meson resonances are mainly associated with the scalar density. Their effects are described in terms of the Breit-Wigner formalism. Our main results are: (i) All KKK modes are dominated by the nonresonant background. The predicted branching ratios of $K^+K^-K_{S(L)}$, $K^+K^-K^-$ and $K^-K_SK_S$ modes are consistent with the data within errors. (ii) Although the penguin-dominated $B^0\to K^+K^-K_{S}$ decay is subject to a potentially significant tree pollution, its effective $\sin 2\beta$ is very similar to that of the $K_SK_SK_S$ mode. However, direct CP asymmetry of the former, being of order -4%, is more prominent than the latter. (iii) For $B\to K\pi\pi$ decays, we found sizable nonresonant contributions in $K^-\pi^+\pi^-$ and $\bar K^0\pi^+\pi^-$ modes, in agreement with the Belle measurements but larger than the BaBar result.
[ { "created": "Sun, 8 Apr 2007 22:54:14 GMT", "version": "v1" }, { "created": "Tue, 2 Oct 2007 09:09:43 GMT", "version": "v2" } ]
2008-11-26
[ [ "Cheng", "Hai-Yang", "" ], [ "Chua", "Chun-Khiang", "" ], [ "Soni", "Amarjit", "" ] ]
07
[ -0.716558575630188, 0.13752064108848572, -0.31996461749076843, 1.1045206785202026, -0.2593382000923157, 0.498898446559906, -0.8888736963272095, -1.882054090499878, -1.0557531118392944, -1.6285748481750488, -0.8848463296890259, 0.08536119759082794, 0.07862792909145355, 1.603060007095337, -0.10283163189888, 0.025448421016335487, -1.2652479410171509, -0.9839163422584534, 1.2362046241760254, -0.9626333713531494, 0.9030054807662964, 0.5562668442726135, 0.787933886051178, -2.0070505142211914, -0.16803757846355438, -0.16096799075603485, 1.2317336797714233, 1.8838838338851929, -0.8953874707221985, 0.3278449773788452, -1.2705698013305664, -0.2436176836490631, -1.5685261487960815, -0.11073198169469833, -0.4274235963821411, 1.241593599319458, 0.7109047174453735, -1.259311556816101, -1.1391311883926392, -0.0624244399368763, 0.13507555425167084, 1.479130506515503, 0.5987202525138855, 0.32994160056114197, -0.8808364868164062, -0.583919107913971, -1.1100305318832397, -2.1500790119171143, -0.5070134401321411, 0.5429534316062927, 0.2692394256591797, 1.9448719024658203, -0.5400475859642029, 0.6734314560890198, -0.23159296810626984, -0.38893818855285645, 0.531090259552002, 0.17254798114299774, -0.7930670380592346, -0.3312263488769531, -0.3959119915962219, 1.2765692472457886, -0.2866100072860718, 0.07011742889881134, -0.053786881268024445, 0.07988215237855911, 0.5215600728988647, -0.7429808974266052, 1.047644853591919, 0.48064860701560974, -0.33684930205345154, -0.15098358690738678, 0.6269093751907349, -0.5598196387290955, -0.33680787682533264, 0.5858190059661865, -0.5563877820968628, -0.5397039651870728, 0.07388190180063248, 0.2946260869503021, -0.30840179324150085, -0.6681631207466125, -1.5249804258346558, -1.3497098684310913, 0.9748433828353882, 0.2665161192417145, -0.795640230178833, 0.20557089149951935, -0.6066146492958069, 0.9956550598144531, 0.8638446927070618, -0.5044792890548706, 0.004269389435648918, 1.0272588729858398, -0.3168056607246399, -0.414254754781723, -0.9941691756248474, 0.5429080724716187, -0.06331287324428558, 1.4052345752716064, -0.7102296352386475, 0.1427108198404312, 0.2185802012681961, -0.3090999722480774, -0.8354495167732239, -0.04617235064506531, -0.33294934034347534, -0.6087180376052856, -0.8532301187515259, 1.3856523036956787, 0.6272017955780029, -0.7662912607192993, -0.21182440221309662, 0.35298994183540344, -0.6162925362586975, -0.42856672406196594, 0.03916699066758156, 0.5089858174324036, 0.7389376759529114, -0.16628827154636383, -0.47204187512397766, 0.20579087734222412, 0.4366408884525299, 0.5987302660942078, 1.4777734279632568, 0.22184519469738007, 1.7380777597427368, -0.3396086096763611, 1.0801329612731934, 1.3876324892044067, 0.6840701103210449, -0.5633279085159302, 0.5855491161346436, 0.7016236186027527, -1.0127793550491333, 0.6477546691894531, -0.29702040553092957, 0.07067510485649109, -0.7947505712509155, 0.09468477964401245, -0.3393743634223938, -0.4230068624019623, -0.5800461769104004, 0.5616081953048706, -0.45900842547416687, 0.14841438829898834, 0.9572544693946838, 0.41004371643066406, 0.4073016345500946, 0.7847667932510376, 0.9528907537460327, 0.003199190367013216, -0.10317074507474899, 0.8134974241256714, -0.014919975772500038, -0.7995668649673462, 0.7992864847183228, -0.297691285610199, 1.8790442943572998, -0.5984373092651367, 0.30611419677734375, 1.0772225856781006, 1.1311304569244385, -0.8458008170127869, -0.6167773008346558, -1.4533761739730835, -0.4950958490371704, -0.4687531888484955, -0.9755254983901978, -0.13581779599189758, 0.14238840341567993, -0.7020491361618042, 0.22989077866077423, -0.6232759952545166, -0.5258851647377014, -0.1556062251329422, -0.16264741122722626, 0.030324459075927734, -0.7656288743019104, 2.750251531600952, 0.9593786001205444, -0.7698115110397339, -0.13482029736042023, 0.22325797379016876, 0.2821269631385803, -0.16670452058315277, -0.18229593336582184, -0.3383196294307709, -0.22498652338981628, -1.1521804332733154, -1.2207220792770386, -0.8589422106742859, -2.287142038345337, 0.10386539995670319, 0.17682214081287384, -0.06197623535990715, 1.0317424535751343, 0.24052786827087402, -0.3958844542503357, 1.9231491088867188, -0.3227264881134033, -0.36119580268859863, 0.8727009892463684, 0.8265190720558167, 0.7340646982192993, 0.9516103863716125, 0.4286259114742279, 0.01238207146525383, -1.55544114112854, -0.9679191708564758, -0.22865210473537445, -0.4797728657722473, 0.5516729950904846, 0.3629268407821655, 1.8280435800552368, 0.0251097921282053, 0.4480392634868622, -0.295211523771286, -1.2939363718032837, 0.3169194459915161, -0.5126520991325378, 0.5684604644775391, -0.19398953020572662, 0.5137657523155212, 0.2538689970970154, 0.7467890381813049, -1.017379641532898, -1.7652384042739868, -0.2059132307767868, -0.5984593033790588, 0.337360680103302, -0.22125105559825897, -0.34191909432411194, -0.4095444083213806, -0.4228895604610443, -1.2125195264816284, -0.21788036823272705, -0.36439651250839233, 0.7588564157485962, -0.8281934857368469, -0.2640320062637329, -0.3065929412841797, -0.5206296443939209, -0.6696799397468567, 0.6415835022926331, -0.18935255706310272, -0.32163432240486145, -0.3173554837703705, 1.377251386642456, 0.6228824257850647, 1.0289413928985596, -0.5766160488128662, -0.8579477071762085, -1.4745759963989258, 0.6597312688827515, -1.4202357530593872, 0.7786678075790405, -1.2389252185821533, -0.3813261091709137, 0.02268967218697071, -1.1418039798736572, -0.17741963267326355, 0.5785671472549438, 1.1406983137130737, 0.36764049530029297, -1.5001449584960938, -0.08472046256065369, -0.9869158864021301, 1.3762190341949463, 1.0820505619049072, 0.13421960175037384, -0.07756580412387848, 0.4905325174331665, -0.31768473982810974, 0.7011801600456238, -0.05591987445950508, 0.7090568542480469, 0.1837472766637802, 0.12442462146282196, -0.7884666323661804, 0.3456411361694336, 0.1069825291633606, -1.529466986656189, 0.15346787869930267, 0.30759841203689575, -0.8390122652053833, -0.48855945467948914, 0.8998078107833862, 1.7065130472183228, -0.5157819390296936, 1.025584101676941, -0.3438577651977539, 0.8116282820701599, -0.8584591746330261, 0.32425498962402344, -0.5909164547920227, 0.5303655862808228, 0.37718260288238525, 1.2310932874679565, -0.2245560884475708, -0.7541688084602356, -0.26610225439071655, -0.33325648307800293, -0.5338408946990967, 0.393696665763855, -0.03868565335869789, -0.01925390213727951, 1.9353963136672974, 0.07997236400842667, -0.2545083463191986, -0.09730125218629837, 0.07302119582891464, 1.4300265312194824, -0.44194984436035156, -0.13043640553951263, 0.32525190711021423, 0.263191282749176, 0.9936182498931885, 0.7707776427268982, -0.9755200743675232, 0.544683575630188, 1.4277734756469727, 0.3009060025215149, 0.7442839741706848, 0.3639906346797943, -1.4744280576705933, 0.1941949725151062, -0.09581497311592102, 0.2639300525188446, -0.9620582461357117, 1.3186883926391602, 0.4842766225337982, -0.2875833213329315, -0.2781990170478821, 0.7499062418937683, -0.7007782459259033, -1.0068961381912231, -0.053905077278614044, -1.2079006433486938, -1.356034755706787, 0.44023868441581726, 0.8485500812530518, 0.9085530042648315, 0.7619167566299438, -1.5692784786224365, 0.014138301834464073, -0.741344690322876, 0.0819757878780365, -0.26869070529937744, 0.4463135898113251, 0.036151837557554245, 1.0813156366348267, -0.06158612295985222, 0.9065421223640442, 1.4578524827957153, -0.3310129940509796, 0.20959137380123138, 0.29060977697372437, 0.044746529310941696, 0.00747888907790184, 0.23153594136238098, -0.03537914529442787, -0.8156479001045227, 1.374427080154419, -0.11296384036540985, -0.9204741716384888, -0.04983082786202431, 0.26831135153770447, -0.05388261750340462, 0.7601448893547058, -0.5297597646713257, -0.5962422490119934, -0.005818833131343126, -0.36170849204063416, -0.3953973948955536, 1.0703163146972656, -0.10743152350187302, -0.3428429663181305, 0.012195763178169727, 0.08446404337882996, -0.5524470806121826, -0.6012335419654846, -0.54388028383255, -0.9199205636978149, 0.6301902532577515, -0.7962971925735474, 0.372753381729126, 0.5825419425964355, 0.48842859268188477, -0.1659894436597824, -0.10536118596792221, -0.23453344404697418, -0.005412984639406204, 0.5812371969223022, 0.03626866266131401, -0.5797955393791199, 1.5376250743865967, 0.7558225393295288, 0.15743505954742432, 0.7575084567070007, 0.2252580225467682, -0.22845637798309326, -0.1050758808851242, -1.5803039073944092, 0.9819820523262024, -1.134157419204712, -0.9329065680503845, -0.0668783187866211, -0.21842901408672333, 0.44302600622177124, 0.5400623083114624, 0.6373746991157532, -0.8708540797233582, -0.1455821841955185, 0.3774890899658203, 0.33422723412513733, 0.08639143407344818, -0.653271496295929, 0.5766677260398865, -0.03110407665371895, 0.0727449283003807, -1.0288680791854858, -0.3614543080329895, 0.3901331126689911, -1.2442651987075806, -0.5965951681137085, -0.5684237480163574, 0.3170105516910553, 0.27425622940063477, 0.13334357738494873, 0.25217288732528687, -0.0684720054268837, -0.9494552612304688, 0.5694875121116638, 0.08599853515625, 0.1111237108707428, 0.0594005323946476, 0.8105637431144714, -0.7882639765739441, -0.5623302459716797, -0.5271268486976624, 0.20452362298965454, 1.6463121175765991, 0.5149974226951599, 0.41233935952186584, -0.6279839277267456, -0.2016034722328186, 1.5819330215454102, 0.25496459007263184, 1.2194316387176514, 0.005181900225579739, 0.4356219470500946, -0.8811984062194824, 0.9673911929130554, -0.0831291526556015, 0.651259183883667, -0.653477668762207, -1.1052628755569458, 0.3762795925140381, -0.048814840614795685, -0.5094870924949646, -0.14601100981235504, 0.6639823913574219, -0.9289708137512207, 0.612910807132721, -0.3776388168334961, -0.15724769234657288, -0.9484818577766418, -0.6497319340705872, 0.07703962177038193, 0.6525003910064697, 0.37477362155914307, 0.5227202773094177, -0.4311990737915039, 0.5116108059883118, 0.03499370440840721, 1.6446129083633423, 0.7674679160118103, 1.4548473358154297, -0.1480892300605774, -0.5799350738525391, 0.3761948347091675, -0.19993317127227783, -0.8641862273216248, -0.19109435379505157, -0.016101660206913948, -0.6624730229377747, -0.5732288956642151, 0.5649474263191223, -0.20027317106723785, 0.9599176049232483, 2.248953104019165, 0.5840688347816467, -0.034740954637527466, -0.795971691608429, 0.9764060974121094, -0.9423803687095642, -0.540870189666748, -0.6301385760307312, -0.7040074467658997, 0.620032548904419, -0.9526588320732117, 0.7268271446228027, -0.16060426831245422, 0.11823106557130814, 0.5651658773422241, -0.6379785537719727, 1.5873013734817505, -1.7921760082244873, 0.7841529250144958, 0.4931829273700714, 0.5990471839904785, 0.40817856788635254, 1.0486178398132324, 0.7049422860145569, 0.6649580597877502, 1.4267504215240479, -2.1509015560150146, 0.4719874858856201, -0.8305796980857849, -0.08939994126558304, 0.3856653869152069, -0.15494473278522491, -0.1919655054807663, -0.6585785150527954, 0.44145792722702026, -0.2424665242433548, -0.35638371109962463, -0.9881167411804199, -0.5789055824279785, -0.14301736652851105, 1.4175916910171509, 0.28891611099243164, -0.5750362277030945, -0.7369744777679443, 0.019346395507454872, 0.7238031029701233, 0.25570350885391235, -0.7376383543014526, 0.3880617618560791, -0.2195972204208374, -0.9499198198318481, -0.15201722085475922, -0.47305724024772644, 0.7194516658782959, -0.5504802465438843, -0.45711541175842285, -0.13847751915454865, 0.11335372924804688, -0.5330855846405029, -0.7988652586936951, 0.16860949993133545, 0.2252126783132553, -0.7710684537887573, -0.36088353395462036, -1.9389971494674683, -6.095200538635254, 0.7298784852027893, -0.25652778148651123, -0.22046039998531342, 1.1375744342803955, -0.12860432267189026, 0.07774786651134491, 0.7556254267692566, -0.4049093425273895, -0.41373518109321594, 0.06069760024547577, 0.3416679799556732, -0.12009240686893463, -0.5121185779571533, -0.34007465839385986, -0.2397034764289856, -0.438141405582428, -0.7146227359771729, -0.5454243421554565, -0.42610645294189453, -0.7884674668312073, 0.3636592626571655, -0.25728365778923035, -0.7207070589065552, -0.923801839351654, -1.2288424968719482, -0.32221657037734985, 0.1348038911819458, -0.9153998494148254, 0.20871955156326294, 0.2486383467912674, 0.7356875538825989, -0.7926282286643982, 0.35758501291275024, -0.8155350089073181, -0.32371169328689575, -0.00380334653891623, -0.40159451961517334, -1.1022058725357056, -1.9813131093978882, 0.3009410798549652, 0.580187201499939, -0.08594698458909988, -0.24365487694740295, 0.28277701139450073, -0.5586588978767395, 0.09960068017244339, -0.639622151851654, -0.3255407512187958, 0.12397938966751099, 0.17182515561580658, -1.6148186922073364, -0.29386448860168457, 0.3075988292694092, -0.3799332082271576, 0.2540072500705719, -0.5091902613639832, -0.4238608181476593, -0.7808526754379272, 1.1975793838500977, 0.20953421294689178, 0.9500564932823181, -0.9859247803688049, -0.4592924118041992, -0.6277700066566467, -0.9147443771362305, 0.19003739953041077, -0.448526531457901, 0.07420662045478821, -0.5149368047714233, -0.2995911240577698, -1.0498930215835571, -1.5404897928237915, -0.43935543298721313, -0.18749363720417023, -0.3115099370479584, -1.352964997291565, 1.4627403020858765, 0.26655080914497375, 0.6348643898963928, -1.3884068727493286, 0.44238656759262085, -0.054234303534030914, -1.2892224788665771, -0.6012628674507141, -0.8908570408821106, 0.05653074011206627, -1.030519962310791, -1.0182204246520996, 0.011239386163651943, 1.1426342725753784, -0.2708805203437805, 0.2928844690322876, -0.1687501221895218, -0.07491789758205414, 0.7498858571052551, -0.4553365409374237, 1.210397481918335, -0.9456088542938232, -0.19031167030334473, -0.6682310700416565, -0.1750713735818863, 0.1642381101846695, -1.1838352680206299, -0.16483260691165924, 0.8092020750045776, 0.5442871451377869, -0.24294471740722656, 1.485216736793518, -1.2715739011764526, -1.2869884967803955, -0.0421854667365551, -0.5075439810752869, -1.2240756750106812, -1.2064262628555298, -0.9683790802955627, -0.5309622287750244, 0.2301856428384781, 0.4511808753013611, -1.1991827487945557, -0.8567062020301819, 1.142655849456787, -0.0831579640507698, 0.31169307231903076, 1.1278274059295654, -0.1071116179227829, 0.2489166408777237, -0.00960355345159769, -0.8158059120178223, 0.1122208833694458, -1.260256052017212, -1.3036324977874756, 0.4076292812824249, -0.7322734594345093, -0.029678944498300552, 0.09069446474313736, -0.07274473458528519, 0.9396452307701111, -0.7835846543312073, -0.13252238929271698, -0.6664539575576782, 0.16463622450828552, -0.6224393844604492, -0.4790305197238922, 0.5037277340888977, 0.75472491979599, 1.4247363805770874, -0.4105857014656067, -0.7532699704170227, 0.08718355000019073, 0.16345497965812683, 1.7781089544296265, 0.5052632689476013, 1.1327712535858154, -0.3569903075695038, -0.05565880611538887, -0.2499086856842041, -1.156430959701538, 0.06081918254494667, -0.7479561567306519, 1.0172666311264038, 0.39124107360839844, 1.1396229267120361, -0.7316765189170837, -0.6516377925872803, -0.4968562424182892, -0.7258846163749695, -0.13145916163921356, 0.902463436126709, -0.1184338703751564, -0.025500189512968063, 0.44702404737472534, 0.07033973187208176, -0.11405356228351593, -1.0363355875015259, 0.2993268668651581, -0.9465001821517944, 0.4239753484725952, -0.35451215505599976, -2.2066571712493896, 0.8486883640289307, 0.3991542160511017, 0.5866333842277527, 1.0260330438613892, -0.47448068857192993, 0.10809892416000366, 0.22028186917304993, -0.2655560374259949, 1.0731713771820068, 0.3591332733631134, 0.16293330490589142, -0.08484014123678207, 0.022710446268320084, -0.2638257145881653, -1.104355812072754, -0.16286475956439972, 0.018303874880075455, -0.04650339111685753, -0.5697798728942871, 0.09191404283046722, -1.1902974843978882, 0.8154000639915466, 0.5620443224906921, 0.4089648127555847, 0.616256833076477, -0.9537176489830017, 1.3711001873016357, 0.8485425114631653, -1.4945402145385742, 0.14721493422985077, 0.2625367045402527, -0.23916879296302795 ]
1,048
0704.1050
Alexey Kalabukhov
A. Kalabukhov, R. Gunnarsson, T. Claeson and D. Winkler
Electrical transport properties of polar heterointerface between KTaO3 and SrTiO3
6 pages, 3 figures
null
null
null
cond-mat.mtrl-sci cond-mat.str-el
null
Electrical transport of a polar heterointerface between two insulating perovskites, KTaO3 and SrTiO3, is studied. It is formed between a thin KTaO3 film deposited on a top of TiO2- terminated (100) SrTiO3 substrate. The resulting (KO)1-(TiO2)0 heterointerface is expected to be hole-doped according to formal valences of K (1+) and Ti (4+). We observed electrical conductivity and mobility in the KTaO3/SrTiO3 similar to values measured earlier in electron-doped LaAlO3/SrTiO3 heterointerfaces. However, the sign of the charge carriers in KTaO3/SrTiO3 obtained from the Hall measurements is negative. The result is an important clue to the true origin of the doping at perovskite oxide hetero-interfaces.
[ { "created": "Mon, 9 Apr 2007 03:14:51 GMT", "version": "v1" } ]
2007-05-23
[ [ "Kalabukhov", "A.", "" ], [ "Gunnarsson", "R.", "" ], [ "Claeson", "T.", "" ], [ "Winkler", "D.", "" ] ]
07
[ -0.01633451133966446, 0.10646022856235504, -1.367518663406372, 1.4616926908493042, -0.036136332899332047, -0.160932257771492, -0.4482104778289795, -0.9442492127418518, -0.9876881241798401, 0.1945379376411438, -1.0946662425994873, -1.4807080030441284, 0.8190220594406128, 0.6395253539085388, -0.5430012345314026, -0.6481314301490784, -0.06149743124842644, -0.6370360851287842, 1.1038533449172974, 0.5947843790054321, 0.00355548900552094, 0.1738123893737793, -0.5302831530570984, -0.5038113594055176, 0.2397473156452179, 0.11358009278774261, -0.2755882143974304, -0.7573351263999939, -0.28049299120903015, 0.03865537419915199, -0.28866446018218994, 0.07915497571229935, -0.6000507473945618, 0.38700735569000244, -0.8792582154273987, -0.1437947154045105, 1.041474461555481, -0.577907145023346, -0.3761945366859436, -0.8496202230453491, 0.824402391910553, -1.5710798501968384, -0.23891976475715637, -0.3821757137775421, -0.22928829491138458, 1.2354494333267212, 1.0530850887298584, -1.038085699081421, -1.5452665090560913, -0.652079701423645, 2.013310432434082, 0.15073162317276, 0.8424876928329468, -1.6969906091690063, 0.7631781101226807, -0.7754906415939331, -0.37710869312286377, 0.7643705010414124, -0.18259058892726898, -0.14511540532112122, -0.272785484790802, 0.5195602178573608, 0.3844524621963501, 0.6072311997413635, 0.04163144528865814, -0.7694873809814453, -0.3370440900325775, 0.10890559107065201, 0.7816005945205688, -0.46460452675819397, 0.042833130806684494, -0.942497730255127, 0.3963535726070404, 0.2498338371515274, -1.598718285560608, 0.8131155371665955, -1.5390344858169556, -0.9941374063491821, 0.850913941860199, 0.08838104456663132, -1.7238417863845825, 0.7288975715637207, 0.8570875525474548, -1.4815462827682495, 0.24954603612422943, -1.4027340412139893, -0.16095592081546783, -0.1908302754163742, -0.08916105329990387, 1.3697035312652588, -0.3813665509223938, -0.07458259165287018, 0.9295555949211121, -0.6187892556190491, 1.4116020202636719, 0.3650332987308502, 0.1260327845811844, -1.1926116943359375, -0.5514935851097107, 0.7109483480453491, -1.0327428579330444, -1.115944743156433, -0.5044705867767334, -1.5261095762252808, -1.1276302337646484, 0.11765982955694199, -1.195070505142212, -0.28003260493278503, -0.05425829812884331, 0.16571465134620667, 0.11077649891376495, -0.3601836860179901, -0.8336568474769592, -0.24373579025268555, -0.832822322845459, 1.4950124025344849, -0.7766162157058716, -0.5568852424621582, 0.0519682876765728, -0.21644838154315948, -1.1939384937286377, 0.6711689829826355, 0.9481093883514404, 0.3954819440841675, 0.9489062428474426, -0.32755962014198303, -0.4216476380825043, 1.1093969345092773, 0.5776255130767822, -0.25773629546165466, -0.984944760799408, -0.5872175693511963, 1.3526430130004883, -0.7579686641693115, 0.1687375009059906, -0.2945720851421356, 0.13084420561790466, -0.27827703952789307, 0.20853187143802643, -0.1763385534286499, 0.1636527180671692, -0.39388418197631836, 0.13473570346832275, 0.0385892353951931, 1.2265350818634033, -0.4156637191772461, -0.665407121181488, -0.5050447583198547, 0.9156060218811035, -2.4278674125671387, -0.10972914099693298, -0.3380696773529053, -0.6081438064575195, -0.21505311131477356, 0.6234349608421326, 0.6400536894798279, 0.21182933449745178, 0.224678635597229, -0.2852116823196411, 0.3160663843154907, 1.0892136096954346, 0.27771812677383423, 0.18886525928974152, 0.01968877948820591, 0.28554967045783997, 0.426886647939682, -0.5124804377555847, -0.5511260628700256, 0.04231931269168854, -0.5884280800819397, 1.4467300176620483, -1.079881191253662, -0.3747985064983368, -0.19996239244937897, 0.1649588793516159, -0.6761781573295593, -0.031636323779821396, -0.15135672688484192, 0.44042059779167175, 0.9964135885238647, -1.609752893447876, -0.6195971369743347, -0.1398112028837204, 0.39194026589393616, 0.46586528420448303, -0.29386332631111145, 0.6522029638290405, -0.2907479405403137, -0.07388297468423843, 0.5131843686103821, -1.0546839237213135, -0.05256049707531929, -1.445014238357544, -0.19760790467262268, 0.16337735950946808, 0.7025873064994812, -0.03145470842719078, 1.0638213157653809, -0.9634338021278381, 0.5786525011062622, -0.6878466606140137, 1.0579181909561157, 0.17725197970867157, -0.4339519143104553, -2.0927107334136963, 0.9105154275894165, 0.07033853977918625, 1.1837530136108398, -0.6980477571487427, -1.970062494277954, -0.5221327543258667, -0.6160210371017456, -1.4339021444320679, -0.4208156168460846, 0.9870161414146423, 0.2939247786998749, 0.6873188614845276, 0.4335860013961792, -0.24475929141044617, -0.005669150967150927, -0.21734078228473663, 0.8358685374259949, 0.7093480229377747, -0.9038954973220825, -0.296534925699234, 0.9077139496803284, -2.337763786315918, 0.9503254294395447, 0.11525493115186691, 0.29198527336120605, -0.5787829160690308, -0.2021341472864151, 0.2916821837425232, 0.39008548855781555, 0.7407450079917908, 1.019089698791504, -0.6714240312576294, -0.14188876748085022, 0.011426337994635105, -0.8650320172309875, -1.1267271041870117, 0.3671972155570984, 0.40280723571777344, 0.62186598777771, 0.2993617057800293, -0.8386343717575073, 0.07117434591054916, 0.3834608197212219, 0.6845130324363708, -0.2524946331977844, -0.4532584846019745, -0.5326547622680664, 0.20662395656108856, -0.33410125970840454, -0.6258067488670349, -1.0758707523345947, 0.32917705178260803, -0.3341348171234131, 0.9213437438011169, 0.7281036376953125, 1.1880797147750854, -0.12658224999904633, 0.16937308013439178, -0.39785826206207275, -0.2744373381137848, -0.5493916869163513, -0.05390433222055435, 0.05968213081359863, 0.988030731678009, 0.5293386578559875, -0.8870499730110168, 0.23034758865833282, -0.43405863642692566, 0.5493172407150269, 0.15296314656734467, -0.570984423160553, 0.2513042986392975, 0.01408698596060276, -0.1902952790260315, -0.17116838693618774, 1.1551655530929565, 0.75655198097229, -0.829746663570404, -0.43440794944763184, 1.2975026369094849, 0.03368547186255455, -0.7556815147399902, 0.2852579355239868, -0.13494464755058289, 0.2224419116973877, -0.27469828724861145, -0.2231566458940506, 0.22097261250019073, 0.10335050523281097, 1.0330450534820557, -0.4693458676338196, -0.4602269232273102, -0.13614803552627563, 1.686340570449829, -0.6348365545272827, -0.4460175335407257, 1.1392059326171875, -0.5135836601257324, -0.20530486106872559, 0.7141244411468506, -0.09346308559179306, -0.5584508776664734, -0.43765926361083984, 0.16195286810398102, -0.5339208841323853, 0.5790469646453857, 1.374760389328003, 0.9568052887916565, 0.5986233353614807, 0.8799415826797485, 0.352791965007782, -0.7251291871070862, -0.6486055254936218, 0.3511183261871338, -0.645416259765625, 0.6968372464179993, 0.5218899846076965, -0.9823803305625916, 0.502735435962677, 0.831728994846344, -0.4763040542602539, 0.005585804115980864, 0.4158959686756134, 0.4395211338996887, -0.5919203758239746, 0.48076122999191284, -0.1797061711549759, -0.4931871294975281, -0.1254190057516098, 1.008735179901123, 0.6288362741470337, 1.604149341583252, 0.17086206376552582, 0.7682689428329468, -0.6639282703399658, -0.3599872887134552, -0.16556555032730103, 0.9020921587944031, 1.0359299182891846, -0.04143328592181206, -0.6597668528556824, -0.16611552238464355, 0.6709452867507935, -0.10063349455595016, 0.366458922624588, 0.07266586273908615, -0.17816631495952606, -0.38079991936683655, -0.6471959948539734, -0.6846768856048584, 1.1155674457550049, 0.6635532975196838, -0.25454241037368774, -0.7552133202552795, 0.1920742690563202, -0.38769248127937317, -1.4191908836364746, -0.9342215061187744, -0.6137865781784058, -0.5996490120887756, -0.753607451915741, -0.8257512450218201, -0.9113762378692627, 0.2529751658439636, 0.9503737688064575, 0.39139699935913086, 0.31915852427482605, 0.3218362033367157, -0.5053083896636963, 0.05701550841331482, 0.5492340326309204, -1.6608322858810425, 0.9457712769508362, 0.3122956156730652, -0.5719656944274902, -0.27041521668434143, -0.9362896084785461, 0.5294151306152344, -0.1902051717042923, 0.39030006527900696, 0.30099567770957947, 0.17695897817611694, -0.23904620110988617, -0.11362818628549576, 0.38902056217193604, -1.1933661699295044, 0.11298582702875137, 0.3460187017917633, -0.5746293067932129, 0.20687124133110046, 1.7220548391342163, 0.16557838022708893, 0.31433144211769104, -0.32844170928001404, -0.7050091028213501, -0.5500224828720093, 0.1893860548734665, -0.13944348692893982, -1.0467270612716675, -0.17059524357318878, -1.5542701482772827, -0.1531391143798828, 0.21485427021980286, -0.36455610394477844, -0.4259420931339264, -0.7423828840255737, 0.37667229771614075, 0.4604158103466034, -0.5811506509780884, -0.9784989356994629, 0.5763537883758545, -0.18502548336982727, -0.054752591997385025, 0.08175429701805115, 0.041262269020080566, -0.6852418184280396, -0.28760796785354614, -1.0687305927276611, -0.33354219794273376, 0.6976143717765808, 0.24819523096084595, 0.5199524760246277, -1.1117016077041626, -0.4256404638290405, 0.7771466970443726, -0.073172926902771, 0.3945492208003998, -1.0286251306533813, 0.9952669739723206, -0.37619006633758545, -0.3480323255062103, 0.05146443843841553, -0.4477529525756836, 0.6010130643844604, 0.11880054324865341, -1.0590788125991821, -0.5891852378845215, 0.46293097734451294, -0.7313060760498047, -0.14354558289051056, 0.9400679469108582, -0.6243652701377869, 0.4004347622394562, 0.04237896576523781, -0.07328040152788162, 0.0011214818805456161, -0.430973619222641, -0.819282591342926, 0.7227221131324768, -0.16500616073608398, 0.657775342464447, -2.0061891078948975, 0.22655068337917328, 0.017601734027266502, -0.24761304259300232, -0.24717050790786743, -0.7221017479896545, 1.0954948663711548, -0.46821147203445435, 0.05556532368063927, 0.17185987532138824, -0.24596542119979858, -0.2920054793357849, -0.09996689110994339, 0.3701269328594208, -0.059444088488817215, -0.9826176166534424, 0.6118866205215454, -1.047547698020935, 1.9448350667953491, -0.31207212805747986, 0.5726719498634338, -0.4149340093135834, 0.054779719561338425, 1.164807677268982, -0.14278393983840942, -0.39714574813842773, 0.16721001267433167, -0.6772365570068359, -0.3061402440071106, 0.5234242677688599, -0.026957198977470398, -0.042369768023490906, -1.5666087865829468, -0.12104940414428711, 0.5523996949195862, 0.30022040009498596, -0.1197350025177002, -1.239290714263916, -0.13470308482646942, 0.606847882270813, -0.2565331757068634, 0.6607809066772461, 0.1025705635547638, -0.6863929629325867, 0.029503803700208664, 0.3838092088699341, -0.10075536370277405, -0.7065650224685669, 1.257176160812378, 0.021567653864622116, -0.8775565028190613, 0.4734601676464081, -0.016225963830947876, 0.335107684135437, -0.25189173221588135, -0.5815590620040894, 0.004132881760597229, -0.27324947714805603, 0.584831714630127, 0.692842960357666, -1.5118310451507568, -2.4894587993621826, 0.8542966246604919, -0.2568396329879761, 0.4619763195514679, -0.628028392791748, 0.4329178035259247, -0.02379549853503704, 0.7784386277198792, -0.03566666692495346, -0.0745755136013031, 0.2883986234664917, 0.05733953043818474, -0.24694356322288513, 0.0910387933254242, 0.6252219676971436, 1.708822250366211, -1.3134269714355469, -0.9428589940071106, 0.18376366794109344, 0.22985689342021942, -0.4258313477039337, 0.597428023815155, 0.12951162457466125, 0.7802256345748901, -0.7605450749397278, 0.39394891262054443, -0.34473124146461487, 0.7724114656448364, 0.4517616331577301, 0.8259987235069275, -0.9327152967453003, -0.29835614562034607, -0.29077813029289246, -0.3354906737804413, -0.1770167201757431, -0.12177719175815582, -1.169358730316162, -0.12868480384349823, 1.389108419418335, -7.353941440582275, 0.014909732155501842, -1.4682879447937012, -1.2448697090148926, 1.351231336593628, 0.3786191940307617, 0.5890263915061951, 0.07114902883768082, -0.031838394701480865, 0.46762725710868835, 0.5401884913444519, 0.6193010807037354, 0.29323628544807434, -1.6959412097930908, -0.11059055477380753, 0.19907888770103455, -1.3968192338943481, -1.2477493286132812, 0.22509412467479706, 1.6098501682281494, -1.75801420211792, 1.3625844717025757, -0.688811182975769, 0.7289252877235413, 0.5176868438720703, 0.20579463243484497, -0.9253738522529602, -0.9547766447067261, 0.08040918409824371, 1.0879490375518799, 1.25359046459198, 0.06404642760753632, 0.4877718687057495, 0.9791767597198486, 0.7774426341056824, 0.6388384103775024, 1.1093289852142334, -0.7091617584228516, 0.22059665620326996, -1.3026437759399414, 0.9227266311645508, -0.7803415060043335, 0.05739004909992218, -0.09404431283473969, -0.06917734444141388, 1.316918969154358, 0.07052525132894516, -0.38576751947402954, 1.5287609100341797, 0.14556528627872467, 0.8038815855979919, 0.3766776919364929, 1.364978313446045, -0.49491751194000244, -0.5745913982391357, 0.23929773271083832, -1.0102410316467285, -0.29520541429519653, -0.4173298180103302, 0.9184615015983582, 0.2959963083267212, 0.16467256844043732, 0.719043493270874, -0.5958117842674255, 0.8590563535690308, -1.7217957973480225, -0.040448322892189026, 0.7616626620292664, 0.8992426991462708, -0.5239421725273132, -0.09033097326755524, -1.139465093612671, 1.7077856063842773, -0.9035077095031738, 1.0514476299285889, -0.12429693341255188, -0.45807284116744995, 1.6584714651107788, 0.12212246656417847, 1.1815035343170166, 0.26101309061050415, 1.3277875185012817, -0.7508330345153809, -1.308943271636963, -0.6186035871505737, 0.14268557727336884, -0.09885273873806, 0.2480604648590088, -0.16693152487277985, 0.6816060543060303, 1.0437510013580322, 0.42432308197021484, -0.3583003282546997, 0.05965391919016838, 0.14907900989055634, 0.7859724760055542, 0.8441437482833862, -1.3237239122390747, -0.809898853302002, 1.462754726409912, -0.783422589302063, -0.009663223288953304, -1.09712815284729, 0.14749979972839355, -0.5835260152816772, -0.798067033290863, 0.5674965381622314, 1.0205633640289307, -0.3799300789833069, 0.055594995617866516, 1.1357899904251099, -0.08635439723730087, -0.042988359928131104, 0.8639070391654968, -1.259079933166504, 0.5433398485183716, 0.624192476272583, -0.23283758759498596, -1.0413317680358887, 1.2299439907073975, -0.5194531083106995, 0.5655458569526672, -0.5584113001823425, -0.4418826401233673, 0.1888507604598999, 0.4435421824455261, 1.3270998001098633, -0.8757387399673462, 0.7857890129089355, -0.23594868183135986, 0.4415297508239746, -0.9615122079849243, -0.14907480776309967, -1.3174183368682861, 0.9028245210647583, -0.5360419750213623, -0.5780382752418518, -0.3991590440273285, -0.4589570164680481, 0.8772503733634949, -0.6424566507339478, 0.7017934918403625, -0.9176300764083862, -0.015259603038430214, -0.07106306403875351, -0.7751708626747131, 0.29348137974739075, 1.118304967880249, -0.2772177457809448, 0.3361624479293823, -1.1199415922164917, -0.15730243921279907, 0.4344651401042938, 0.8213256001472473, 0.3612692654132843, 0.27268895506858826, -0.04260159283876419, -0.3904559016227722, 0.23211053013801575, -0.9465997219085693, 0.03345802053809166, -0.3060232698917389, -0.09720586240291595, -0.42910149693489075, -0.25867781043052673, -0.3257645070552826, -0.696797788143158, -0.443826287984848, -0.9377591609954834, 0.8051961064338684, 0.2573316693305969, -0.6538443565368652, -0.4300374984741211, -1.3013761043548584, -0.8471480011940002, -0.8210639357566833, 0.6239532232284546, 0.05852349102497101, -0.29114583134651184, 0.28187716007232666, -0.46604618430137634, -0.9652986526489258, -0.19966493546962738, -0.24735882878303528, -1.244748592376709, 0.7237451076507568, -0.1047581136226654, -0.5904053449630737, -0.8500803112983704, 1.0748319625854492, 0.3477736711502075, -0.717781126499176, -0.23074878752231598, -0.2111068069934845, -0.9322612285614014, 0.66493159532547, -0.25042545795440674, 0.6106971502304077, -0.34063810110092163, 0.8214528560638428, -0.3625847101211548, 1.0163084268569946, -1.5950901508331299, 0.17065070569515228, -0.21461226046085358, -0.3192158639431, 0.30852797627449036, 0.29471129179000854, -0.28831177949905396, 0.5640507936477661, 0.675078809261322, -0.110728919506073 ]
1,049
0704.1051
Derck Massa
D. Massa and N. R. Evans
The Angular Separation of the Components of the Cepheid AW Per
12 pages, accepted version -- minor changes
null
10.1111/j.1365-2966.2007.12520.x
null
astro-ph
null
The 6.4 day classical Cepheid AW Per is a spectroscopic binary with a period of 40 years. Analyzing the centroids of HST/STIS spectra obtained in November 2001, we have determined the angular separation of the binary system. Although we currently have spatially resolved data for a single epoch in the orbit, the success of our approach opens the possibility of determining the inclination, sini, for the system if the measurements are repeated at additional epochs. Since the system is potentially a double lined spectroscopic binary, the combination of spectroscopic orbits for both components and the visual orbit would give the distance to the system and the masses of its components, thereby providing a direct measurement of a Cepheid mass.
[ { "created": "Sun, 8 Apr 2007 23:42:44 GMT", "version": "v1" }, { "created": "Tue, 6 Nov 2007 15:42:30 GMT", "version": "v2" } ]
2009-11-13
[ [ "Massa", "D.", "" ], [ "Evans", "N. R.", "" ] ]
07
[ -0.21382765471935272, -0.2953128516674042, 0.4770003855228424, -0.6714786887168884, 0.2399996817111969, -0.16967055201530457, 0.09168753027915955, -0.31485888361930847, -0.9069326519966125, 0.41802144050598145, -0.2231353223323822, -0.7977768778800964, 0.7323896884918213, 0.8899106979370117, 0.12608486413955688, -0.14803390204906464, -0.29798781871795654, -0.7097135782241821, 0.07629448920488358, -0.2518123388290405, 0.37233278155326843, 0.05713258683681488, -0.3660188913345337, 0.8808258771896362, 0.35834965109825134, 0.7247282862663269, 0.9789201617240906, 1.388247013092041, -0.7913408875465393, -0.6320908069610596, 0.051563628017902374, 0.2550673186779022, 0.253711998462677, 0.21343468129634857, -1.4353195428848267, 0.09520957618951797, 0.4717067778110504, -0.3458602726459503, -2.0027353763580322, -1.508692979812622, 0.8220831751823425, -1.7522104978561401, 0.08832491934299469, -0.14734399318695068, -0.1225505918264389, -1.626312255859375, -0.7663974761962891, 0.9895763397216797, 0.9188196659088135, -1.158840537071228, -0.005188503302633762, 0.08630334585905075, -0.8169918656349182, 0.3092685639858246, -0.15753594040870667, -0.3501504063606262, 0.2218824028968811, -0.7991018295288086, -0.6222995519638062, 0.5490612387657166, 0.3975426256656647, -0.37179452180862427, -0.2299913465976715, 0.45421960949897766, -1.717028021812439, 0.16765545308589935, 0.02006922848522663, 0.12516072392463684, -0.599720299243927, -1.3828155994415283, 2.0566868782043457, -1.0875121355056763, 0.4742586016654968, 0.13841460645198822, -0.760731041431427, 0.32452648878097534, 0.1877630352973938, 0.42615506052970886, 0.2804467976093292, -0.7142075300216675, -0.25344589352607727, 0.05614926293492317, -0.5164793729782104, -0.39905670285224915, 0.10291396081447601, -1.273281216621399, -0.03722308203577995, 0.6642282009124756, -0.6603160500526428, -0.4090949594974518, -0.25810256600379944, 0.9466173052787781, -0.038517117500305176, -0.4662310779094696, 0.7746008038520813, 1.9940080642700195, -0.5318910479545593, 0.0269332118332386, 0.5446560382843018, 0.65672367811203, -0.07124336808919907, 0.6502671837806702, -0.10661780834197998, -0.019621243700385094, 0.02121322974562645, -0.5937972664833069, 0.12429343909025192, -1.3929778337478638, -1.1485671997070312, -0.2824299931526184, 0.5413827896118164, -0.33781981468200684, -0.31583887338638306, -1.1967355012893677, -0.2936830520629883, -0.5321754813194275, -1.334794044494629, 0.2448827028274536, 0.8581117987632751, -0.4119276702404022, -0.06858818233013153, 0.5007686614990234, -0.9031766057014465, 0.6829603314399719, 0.6202268004417419, 0.15906520187854767, -0.7688133716583252, -0.4751831293106079, -0.5299693942070007, 0.10264953970909119, 0.8171517252922058, 0.23338599503040314, -0.5720230937004089, 0.46624675393104553, -0.6134575605392456, -1.2454240322113037, 0.00419393926858902, 0.5173075795173645, 0.11423985660076141, 0.046086229383945465, -0.01837136410176754, 0.46727433800697327, 0.8238022327423096, 0.33572638034820557, 0.22018583118915558, 0.6208178997039795, -0.4758705198764801, 0.7537385821342468, -0.5015893578529358, -0.1585417240858078, 0.2910630404949188, -0.8205772042274475, -0.8262165188789368, 0.7017556428909302, 0.918531060218811, 0.14665643870830536, 0.10346810519695282, -0.47160911560058594, 0.7263877987861633, 1.3508416414260864, -0.5168240070343018, -0.273239403963089, -1.291983962059021, -0.8009546399116516, 0.2256377637386322, -0.6013970971107483, 0.25972825288772583, -0.48225924372673035, 0.19605563580989838, 0.5452498197555542, 0.5266135334968567, -0.3268813192844391, -0.538801908493042, 0.6058552265167236, -1.0439746379852295, -0.9211760759353638, -0.3196854889392853, -0.6429151296615601, -0.7385877370834351, 0.04094026982784271, 0.6797475814819336, 0.46243375539779663, -1.3235427141189575, 0.07411660254001617, 0.14241428673267365, -0.6049767732620239, 0.25335270166397095, -0.5404592156410217, 0.7986013293266296, 0.05482525750994682, -0.1647370606660843, 0.3865608870983124, -1.2120184898376465, 0.2580510973930359, -0.5169621109962463, -0.7088560461997986, 1.1398985385894775, 0.82689368724823, 0.445803165435791, -1.10806405544281, -1.1113494634628296, -1.0295426845550537, -0.8081740736961365, 0.26243212819099426, 1.1431609392166138, -0.10046916455030441, 0.6731995344161987, 0.6710531711578369, -0.19040945172309875, 1.1564260721206665, -1.1497070789337158, -1.4310648441314697, 0.10512042045593262, 0.37046587467193604, -0.4018504321575165, 0.6398282647132874, 1.6371679306030273, -1.7941107749938965, 0.06950693577528, -0.614361584186554, 0.19136542081832886, 0.7598420977592468, 0.6717262864112854, -0.7949442267417908, -0.800527036190033, 0.3368513584136963, -0.9279218316078186, 0.048022735863924026, 0.7457193732261658, 0.44039443135261536, -1.7134629487991333, -0.43089520931243896, 0.6423348784446716, -0.06353708356618881, 0.6702997088432312, 0.3876528739929199, 0.28862056136131287, 0.29595768451690674, -0.9809241890907288, 0.6078512668609619, -0.8940759301185608, 0.5987173914909363, -0.14857234060764313, 0.558430552482605, -0.3977760970592499, 0.07050305604934692, -0.047593649476766586, -0.09343466907739639, -0.3958476781845093, 0.7416943311691284, -0.4749939441680908, 0.7750517725944519, -0.9717866778373718, -0.10200118273496628, 0.9294225573539734, 0.3389491140842438, -0.8299458622932434, -0.20531240105628967, -1.4785735607147217, 0.8510825037956238, -1.384584903717041, 0.2697994112968445, -0.253682941198349, 0.1413956582546234, 0.44821783900260925, -1.0942050218582153, 0.2820959985256195, -1.0731489658355713, -0.7959528565406799, -0.13960620760917664, -0.1797650009393692, 0.4640132188796997, 1.0537296533584595, 0.6470009088516235, -0.06772011518478394, 2.0165693759918213, -0.18192562460899353, 0.3025273084640503, -0.9391475915908813, -1.4455243349075317, 0.02007332630455494, 1.2726231813430786, 0.4831269085407257, 0.387795090675354, -0.4097543954849243, -0.9939953088760376, 0.4636702239513397, 0.5091121792793274, -1.3100528717041016, 0.3191281259059906, -0.4387490451335907, 0.021015161648392677, -0.14680244028568268, -0.4438205063343048, 0.13348890841007233, 0.9780134558677673, 1.1589772701263428, -0.39336028695106506, -0.3224516212940216, 0.3204628825187683, -1.3344781398773193, 0.5772023797035217, 0.20335744321346283, -0.4574379622936249, 0.5696470737457275, -0.3514860272407532, -0.027671094983816147, 0.8143010139465332, 1.2622097730636597, -0.5209161043167114, -1.399510145187378, -0.03528034687042236, -1.6327286958694458, -0.1449229121208191, -0.15484119951725006, 0.1864011138677597, 1.0561110973358154, -0.12876951694488525, -0.45745357871055603, -2.1911849975585938, 0.1456403285264969, 0.014129295945167542, -0.6021334528923035, 0.3318002223968506, -0.5909646153450012, -0.3605644702911377, -1.435975193977356, 0.006682892329990864, 0.9884511232376099, 1.0267473459243774, -0.4994075894355774, 0.9398640394210815, -0.18411672115325928, -0.5282491445541382, 0.963708221912384, -1.0768738985061646, 1.9649819135665894, 1.5419132709503174, 0.7317386269569397, -0.4518812894821167, -0.2126978635787964, 1.6136953830718994, -0.056565411388874054, 0.9808686971664429, -0.6327423453330994, -0.05997660756111145, 0.3488784730434418, -0.5249063968658447, 0.08616886287927628, -0.5259495377540588, 0.11043934524059296, 0.011506171897053719, 0.2264077514410019, 0.21919909119606018, 0.7163262963294983, 0.2636917531490326, 0.3385411202907562, 0.060816213488578796, -1.4104059934616089, 0.8703500628471375, -0.8399661779403687, -0.16819527745246887, -1.013862133026123, 0.05351561680436134, 0.886816143989563, -0.2271413654088974, -1.3763874769210815, -0.6464973092079163, 0.7181745767593384, -0.3353014588356018, -1.382753610610962, 0.08839106559753418, -0.5352357625961304, -0.2524383068084717, 0.7665369510650635, 0.9457140564918518, 0.039903923869132996, 0.22325602173805237, 0.2118052989244461, 0.07164047658443451, -0.6338813900947571, 1.0892372131347656, 0.07644759118556976, 0.014745108783245087, 0.7929716110229492, -0.08596277981996536, -0.47716057300567627, -0.28627803921699524, 0.4083055257797241, -0.4567396640777588, -0.5401161313056946, -0.42218539118766785, 0.44142675399780273, -0.7326216697692871, 0.6104338765144348, 1.6660979986190796, -0.0037467500660568476, -0.12691086530685425, -0.033972058445215225, -0.1858242154121399, -0.22978252172470093, -0.4798131287097931, 0.7322192788124084, -0.3093307912349701, -0.20745441317558289, -0.2681076228618622, -0.26355597376823425, -0.31116825342178345, 0.4123787581920624, 0.04838007315993309, 0.05281992256641388, -0.5137015581130981, 0.7856975793838501, -0.048837579786777496, -0.26314249634742737, -0.00879000499844551, -1.7710412740707397, -0.3766023516654968, 1.1412317752838135, -0.6870481371879578, 0.27933117747306824, -1.3045498132705688, -0.544208824634552, 0.9313384890556335, -0.7266330122947693, -0.12653741240501404, -0.6114211082458496, -0.8630749583244324, 0.45531484484672546, 0.3210929036140442, 1.2612566947937012, -0.34449461102485657, 0.33226510882377625, -0.32463136315345764, 1.4271891117095947, -0.3913761377334595, -0.32402303814888, 0.40096327662467957, -0.10310295969247818, -0.5104575157165527, -0.683138906955719, -1.9506189823150635, 0.10947221517562866, -0.35972702503204346, -0.4441114664077759, 0.29408740997314453, -0.42486804723739624, 0.6128209829330444, -0.8066933155059814, 0.1966882199048996, 0.6655858159065247, 0.16745083034038544, 0.4259740114212036, -0.31208059191703796, 0.6831895709037781, -0.32389456033706665, 0.35406818985939026, 0.9819827079772949, -0.9777906537055969, -0.2438763529062271, -0.15620474517345428, -1.1100033521652222, 0.518891453742981, -0.039629608392715454, 0.35876116156578064, -0.2434922158718109, -0.18744339048862457, -1.3876276016235352, 1.6601471900939941, 0.23217757046222687, 1.6293864250183105, -0.1659832000732422, -0.8587028980255127, -0.3102986812591553, 0.1823257952928543, 0.3909684717655182, 0.14739777147769928, -0.3155485987663269, 0.5858515501022339, 0.20566529035568237, 0.4009972810745239, 0.18250085413455963, 0.35191985964775085, -0.3419962227344513, -1.059138536453247, -0.05113302171230316, 0.3204917013645172, 1.904370665550232, -0.2886151075363159, 0.9838087558746338, -0.4358442425727844, 0.6362558603286743, 0.9331176280975342, 0.5718396306037903, 0.22218558192253113, -0.042451564222574234, -0.325205534696579, -1.0572364330291748, 0.10291144251823425, 0.34080687165260315, -0.20389336347579956, -1.3096697330474854, 0.2570805847644806, -1.204822301864624, -1.5012627840042114, 1.1902765035629272, 1.1598066091537476, 0.5255739688873291, -0.39167648553848267, 0.10352209210395813, -0.9543876647949219, 1.3633551597595215, -0.2161020189523697, 0.1465299278497696, 0.5813310146331787, -0.2644018828868866, 1.0144201517105103, -2.4188482761383057, 1.3192166090011597, -1.1816940307617188, -0.10968927294015884, 0.4236079454421997, -1.5771104097366333, 1.2093391418457031, 0.23675906658172607, 0.33479365706443787, 0.7072241306304932, 0.778483510017395, -0.3775440454483032, 0.9305405020713806, -0.4286983013153076, 0.12791194021701813, 0.8018450140953064, -1.7153066396713257, 0.16657932102680206, -0.6580177545547485, -1.0407156944274902, -0.6768073439598083, -0.25989097356796265, -0.28100135922431946, -0.48965519666671753, 1.0053791999816895, -1.536115050315857, -0.6596639752388, 0.34021782875061035, -0.3592151999473572, -0.7454326748847961, -0.3976789116859436, -1.0285202264785767, -0.14030060172080994, -0.8618922829627991, -0.6473506093025208, -0.33136433362960815, 0.6526178121566772, -0.4781455397605896, -0.5116703510284424, -8.354848861694336, -0.4233601689338684, -0.8573423624038696, 0.9394863247871399, 0.07749385386705399, -0.09078140556812286, -0.8378838300704956, 0.1901887059211731, -0.19065111875534058, 0.39071211218833923, -0.2567228674888611, 0.3063526153564453, -0.3880838453769684, -0.1458982229232788, -0.22975583374500275, 0.2475464940071106, -0.11204072833061218, 0.12398961186408997, 0.5201625227928162, 1.2157095670700073, -0.2291015088558197, -1.3641399145126343, -1.0702898502349854, -0.7266995906829834, 0.07186941802501678, 0.030857717618346214, 0.38221311569213867, 0.7567681670188904, -1.9355591535568237, 1.1415189504623413, -0.6098839044570923, 1.0825119018554688, -0.20167122781276703, 0.14516787230968475, -0.8491913080215454, 0.8899353742599487, 0.6042784452438354, -0.362187922000885, 1.3597941398620605, -0.5813734531402588, 1.51437246799469, 0.20988085865974426, 0.14746645092964172, 0.9897927641868591, -0.893913209438324, 0.060589537024497986, -0.16865135729312897, -0.75306636095047, 0.5188027620315552, 0.5625636577606201, 1.0813069343566895, -0.48204395174980164, 1.2483144998550415, -0.7696032524108887, -1.2792072296142578, -1.3334870338439941, -0.6051948070526123, 0.01961110532283783, -0.008511608466506004, -1.2012815475463867, 0.03654975816607475, -1.5759811401367188, 0.2310449779033661, 0.5121622085571289, 0.6652852892875671, 0.0059066759422421455, -0.6503229141235352, -0.24401256442070007, 0.31409984827041626, 0.12410379946231842, 0.3966869115829468, -1.6742771863937378, 0.4292517304420471, -0.2455579936504364, 0.5044687390327454, 1.0303095579147339, -1.1511104106903076, 0.3962901830673218, 0.48790282011032104, 0.18483981490135193, -0.10497846454381943, 1.5088645219802856, -0.6742205619812012, 0.48490333557128906, -0.9272506833076477, -0.6709792613983154, 0.1703580766916275, -0.2597067654132843, -0.8935948610305786, 0.2013951689004898, -1.1884502172470093, 0.018601611256599426, 0.5263545513153076, -0.16191230714321136, -1.0026112794876099, 0.08061764389276505, 0.2969840466976166, -0.12111034989356995, -0.5518426895141602, 0.2989603281021118, 0.478956013917923, -0.5918641686439514, 0.08318667113780975, -0.5735110640525818, -0.17475101351737976, 0.3286958336830139, -1.4169672727584839, 0.5343745946884155, 0.5491412281990051, 0.16534127295017242, 1.5192642211914062, -0.4908337891101837, -0.31825265288352966, 0.673519492149353, -0.1541822850704193, 0.06495185196399689, -0.16274338960647583, 0.3570365607738495, -0.10967642813920975, 0.12317674607038498, -0.15146823227405548, 0.7851415872573853, 0.5868464112281799, 0.22569209337234497, 0.09899381548166275, 0.9719694256782532, -0.13067208230495453, -0.29029175639152527, 0.1427299827337265, 0.4676637053489685, -1.0900897979736328, 0.7207337617874146, 0.04199499264359474, -0.18737423419952393, -0.5403327941894531, -0.3525058627128601, 0.08699609339237213, -0.16653494536876678, 0.004137344192713499, -1.0115565061569214, 0.9154900312423706, 0.42869409918785095, -0.17377357184886932, -0.22939695417881012, -0.22041557729244232, 0.461482971906662, -0.6170974373817444, -0.5486801862716675, 0.3690119683742523, -0.6629847884178162, 0.3388306796550751, -0.07368463277816772, 0.5175996422767639, 0.34246528148651123, -0.29504477977752686, -0.38237351179122925, -0.16761772334575653, -0.5845298767089844, -0.981621265411377, 0.707902193069458, 0.9566448926925659, -0.14513671398162842, 0.6450917720794678, 0.3626687526702881, -0.43330636620521545, -1.055374026298523, 0.18484003841876984, 0.9188147187232971, -1.2628748416900635, -0.15020248293876648, 0.6620877981185913, -0.3350561857223511, -0.7871948480606079, -0.08635913580656052, 1.2762336730957031, 0.13975539803504944, -0.7680589556694031, 0.634320080280304, -0.823311448097229, -0.739718496799469, 0.7341018319129944, 1.1432920694351196, 0.18726305663585663, 0.37864646315574646, 0.13391929864883423, 1.0214531421661377, 0.14639249444007874, 0.15229585766792297, 0.13343723118305206, -0.37537682056427, 0.11997010558843613, 0.563054621219635, 1.16411554813385, 1.443250060081482, 0.251593679189682, -0.11433844268321991, -0.012321152724325657, -0.11969934403896332, -0.014151418581604958, -1.0060030221939087, 0.0082215191796422, 1.9085358381271362, 0.38267773389816284, 0.18531669676303864, 0.31150108575820923, -0.19427040219306946, 0.4615527093410492, 0.6835843324661255, -0.12224262207746506, -0.18279701471328735, 0.0834968164563179, -0.7482057213783264 ]
1,050
0704.1052
Dmitry Novikov
D. S. Novikov
Transverse field effect in graphene ribbons
4 pages, 3 figures
Phys. Rev. Lett. 99, 056802 (2007)
10.1103/PhysRevLett.99.056802
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
It is shown that a graphene ribbon, a ballistic strip of carbon monolayer, may serve as a quantum wire whose electronic properties can be continuously and reversibly controlled by an externally applied transverse voltage. The electron bands of armchair-edge ribbons undergo dramatic transformations: The Fermi surface fractures, Fermi velocity and effective mass change sign, and excitation gaps are reduced by the transverse field. These effects are manifest in the conductance plateaus, van Hove singularities, thermopower, and activated transport. The control over one-dimensional bands may help enhance effects of electron correlations, and be utilized in device applications.
[ { "created": "Mon, 9 Apr 2007 01:21:49 GMT", "version": "v1" }, { "created": "Thu, 2 Aug 2007 02:41:49 GMT", "version": "v2" } ]
2007-08-02
[ [ "Novikov", "D. S.", "" ] ]
07
[ 0.29113903641700745, 0.052933961153030396, 1.4121499061584473, 0.685976505279541, 0.09988263994455338, 0.34432917833328247, -0.03868899866938591, -0.2302519530057907, -0.33608371019363403, 0.06852296739816666, 0.7980453968048096, -1.8275048732757568, -0.6913197636604309, 2.096926212310791, 0.01886802352964878, -0.12175973504781723, 0.8802506327629089, -0.37782546877861023, 0.8003174066543579, 0.09307769685983658, 0.4868272542953491, -0.28934431076049805, -0.084921695291996, -0.5199709534645081, -0.7159258723258972, -0.7586021423339844, -1.0905321836471558, 1.0325342416763306, 0.38634589314460754, 0.888518750667572, -1.120413899421692, 0.544343888759613, 0.5703856945037842, -0.48199084401130676, 0.6525907516479492, 0.20894727110862732, 0.8958229422569275, -0.7930296063423157, -0.37753161787986755, -1.109850525856018, -0.16911080479621887, 0.11198819428682327, -0.5710217356681824, 0.9026445746421814, -1.5516879558563232, 1.2539303302764893, 0.9020598530769348, -1.7079042196273804, -0.0019617341458797455, 0.6236240863800049, 1.3335167169570923, 0.6960095763206482, 1.3291126489639282, 1.4761298894882202, 0.5298612117767334, 0.8439897894859314, -0.3482683300971985, 0.527111291885376, 0.4911874532699585, -2.100212335586548, -0.5023800730705261, 0.5076759457588196, -0.42484554648399353, -0.4014507234096527, 0.29033875465393066, -0.0466674380004406, -0.028401624411344528, 0.3040367364883423, -0.5883471369743347, 0.6443125605583191, 0.09923099726438522, 0.3114475607872009, -0.31477558612823486, -0.9578433036804199, 0.7509332895278931, 0.6824966669082642, -0.4820144474506378, -0.19968712329864502, -0.04553200677037239, 0.6270778775215149, 0.8075790405273438, 1.485390543937683, -0.48823100328445435, -0.4394981563091278, -0.22597232460975647, -0.47423475980758667, 0.9621641039848328, -0.13360171020030975, 0.8688856363296509, -1.1220967769622803, 0.8438794016838074, -0.13188308477401733, 0.8979293704032898, -0.12332314997911453, -0.6813321113586426, -1.67879319190979, 0.25177159905433655, -1.0176866054534912, 0.4905838966369629, -0.16648444533348083, 0.3813207745552063, 0.16708870232105255, 0.008007699623703957, 0.08413531631231308, 0.09556222707033157, 1.7678332328796387, -0.40845972299575806, -0.29679128527641296, -0.6255651712417603, 0.31931501626968384, -0.8430267572402954, -1.897881269454956, 0.1638685017824173, 0.10751829296350479, 0.24397316575050354, 1.120108723640442, -0.5493994951248169, 0.026978595182299614, -0.021152377128601074, 0.03521034121513367, 0.03366114944219589, 0.0052149174734950066, 0.47733408212661743, -0.4525678753852844, 0.22387802600860596, 0.5263044238090515, 0.09391122311353683, -0.3011474907398224, 0.3437347412109375, -1.0354686975479126, -0.8234497308731079, -0.6145632266998291, -0.03286636993288994, -1.1735846996307373, -0.2785823345184326, -0.9505639672279358, -0.04968272149562836, -0.10129549354314804, -0.29231783747673035, 0.6451956629753113, -1.031219244003296, -0.23005297780036926, -0.9445292949676514, 0.7710553407669067, -0.08104770630598068, -1.9557867050170898, -0.6873782277107239, -0.5494926571846008, -0.9210643768310547, -0.737807035446167, -0.001902662217617035, -0.5100114941596985, -0.03974849358201027, 0.588238537311554, -0.9515860676765442, 0.2342444807291031, 1.8301552534103394, 1.587287425994873, -0.6273108124732971, 0.4282236397266388, 1.065248966217041, -0.6571382880210876, -0.2541140913963318, -1.9111164808273315, -0.100835882127285, -0.054633356630802155, -0.9221091270446777, -0.2820315957069397, 0.10932821780443192, 1.736531376838684, 0.9622714519500732, 0.2045721709728241, -0.28535133600234985, -0.5624774694442749, -0.40897852182388306, -0.8722371459007263, 0.6998317241668701, -0.11022762209177017, -0.6613898277282715, 1.1038609743118286, 0.7602517008781433, -1.1043428182601929, 0.6541809439659119, -0.3444939851760864, 0.005079586524516344, -0.1042805016040802, 1.8467878103256226, -0.1567455381155014, -0.3542625904083252, -0.06336165219545364, -1.2109060287475586, 0.5565382838249207, -0.4710201025009155, 0.8038662075996399, 0.015314728021621704, 0.466627836227417, -0.14014707505702972, 0.36629757285118103, -0.3565828204154968, -0.5402573943138123, -0.8631500601768494, 0.7391726970672607, -0.4631134569644928, 0.06810185313224792, -0.4572233259677887, 0.9262999296188354, -0.14396804571151733, 0.0844941958785057, 0.2759110629558563, 0.7897934913635254, 0.18471896648406982, -0.011667525395751, -0.18067960441112518, -1.1336103677749634, -0.3108017146587372, 0.3452242612838745, -0.2041022628545761, -0.47729283571243286, 0.2648669183254242, 1.219338297843933, -0.13753868639469147, -0.5393958687782288, -0.4453960657119751, -0.41738104820251465, 0.2574934959411621, -1.1410527229309082, 0.4562356472015381, 0.5779604911804199, 0.12325181066989899, -0.4075210392475128, 0.019426872953772545, -0.5003275871276855, 0.40090516209602356, -0.26855847239494324, -0.5263321995735168, -0.06167358160018921, -1.0881507396697998, -0.016617553308606148, -0.7946566939353943, -0.2445458620786667, -0.7874267101287842, 1.0926012992858887, -0.14971216022968292, -0.06989061087369919, 0.716006338596344, -0.6971255540847778, 0.6450499296188354, 0.6512852311134338, -0.5509852170944214, 0.21423475444316864, 0.4585261344909668, -0.2932031452655792, 0.4747908115386963, -0.1726408302783966, 0.6034587025642395, -0.4200735092163086, 0.285233736038208, -0.8178132772445679, 0.46585094928741455, 0.875059962272644, -0.43747276067733765, 0.26913565397262573, 0.21488723158836365, -0.43124839663505554, -0.8284600973129272, 1.4070534706115723, 0.8377090096473694, 0.07981596887111664, 0.05745496228337288, -1.0378509759902954, -0.2961127758026123, -0.3879181742668152, -0.2982010543346405, -0.47262680530548096, 1.5106589794158936, -0.038834210485219955, -0.07290470600128174, 0.09217135608196259, 0.576094388961792, 0.18010781705379486, -0.2521149218082428, 0.1671227365732193, -0.774840235710144, 0.8334123492240906, 0.6246634721755981, 1.0206270217895508, -0.3907007873058319, 0.2646659314632416, -0.16364333033561707, 1.0337793827056885, 0.7859925031661987, 0.4431137442588806, -0.07136034220457077, 0.7333034873008728, -0.38520851731300354, -1.389436960220337, -0.25326797366142273, -1.2021270990371704, 0.18249830603599548, 0.23416438698768616, -0.6351917386054993, 0.2830677032470703, -0.02864447422325611, -0.2542189061641693, 0.15504887700080872, -0.19573761522769928, -0.05796246975660324, -0.7950676679611206, 0.21783028542995453, 0.22720205783843994, -0.5619214177131653, 0.4618590176105499, -0.11004871875047684, 0.1493585854768753, 0.7093638181686401, -0.0512104295194149, -0.5382320284843445, 0.0205171387642622, -0.45155707001686096, -1.3661571741104126, 0.6773769855499268, 0.7164978384971619, 0.13213594257831573, 0.6561161279678345, 0.641144335269928, -0.7734217047691345, 1.2373723983764648, 0.18909481167793274, 0.8931454420089722, -1.3788831233978271, -1.469815731048584, -0.1307532787322998, 0.5899007320404053, 0.7398459911346436, 0.9529123306274414, -0.23796938359737396, -0.6803401708602905, -0.00213583093136549, 1.3210126161575317, -0.5028957724571228, -1.6595560312271118, 0.7373023629188538, 1.2983490228652954, 0.01336879376322031, -0.1912677139043808, 0.18596358597278595, -0.8800898790359497, -0.2979337275028229, 0.003191497875377536, -2.069046974182129, -0.0724981352686882, -0.09565974026918411, 0.02634318359196186, -1.1255896091461182, 0.1550326943397522, -0.6125348806381226, 0.9549979567527771, -0.800711452960968, 0.24398492276668549, -0.9606694579124451, -0.21463388204574585, 0.4111146330833435, 0.353022038936615, 0.0405077300965786, 0.12432138621807098, -0.49498993158340454, -0.2652095854282379, 0.6243060827255249, -1.1133641004562378, 0.58887779712677, -0.6687120795249939, 1.726654291152954, 1.3606797456741333, 0.46470704674720764, -0.544780433177948, -1.072300910949707, -0.8686062693595886, -0.21450667083263397, 0.3601280748844147, -0.4403870701789856, -0.9167582392692566, -0.5828889608383179, 0.8677785992622375, 0.5245735049247742, -0.7142905592918396, -0.801033616065979, 0.0558113195002079, 0.1103246808052063, -0.47805872559547424, 0.7232778072357178, -1.7769744396209717, 0.37723445892333984, 0.4650668799877167, -0.6606199741363525, -1.2267950773239136, 0.3256832957267761, 0.22781670093536377, 0.4373212456703186, 1.200031042098999, -0.07424882054328918, 0.2168322205543518, 0.0716729536652565, -1.1363275051116943, -0.9425658583641052, 0.5686081647872925, 0.23103459179401398, -0.5774008631706238, -0.43050116300582886, -0.3039321303367615, -0.36726832389831543, -1.398504614830017, 0.4064805507659912, 0.15338145196437836, -0.31215739250183105, -0.3189392685890198, -0.5735052227973938, -1.0868932008743286, 0.7397564649581909, 0.028653088957071304, 0.8578853607177734, 0.6382745504379272, 0.4749022424221039, -0.06210058555006981, 1.7227091789245605, 1.2414731979370117, -0.6791767477989197, 0.33931538462638855, -0.21692271530628204, -0.5126386284828186, -0.5055203437805176, 0.648090124130249, 0.686750054359436, 0.032333679497241974, 1.1396249532699585, -0.5742529034614563, -0.5781260132789612, -0.44215720891952515, 0.7424355745315552, 0.20226694643497467, -0.5038675665855408, -0.6177366971969604, 1.042191982269287, -0.7754119038581848, -0.3622753918170929, 0.20549578964710236, -0.4123971164226532, -0.6288563013076782, 0.7550176382064819, -0.7097670435905457, 0.008638792671263218, -0.12050317972898483, 0.4428354501724243, -0.5863549709320068, 0.5851667523384094, -0.2416425496339798, -1.7823926210403442, -0.28292450308799744, 1.4580341577529907, -0.7778713703155518, -0.6830837726593018, -1.5304709672927856, -0.05179866775870323, -1.2214093208312988, -1.148406982421875, -0.5428983569145203, 0.4109904170036316, 0.17917658388614655, 0.017677364870905876, -0.09211739152669907, 0.6777753233909607, 0.8358486294746399, 0.3377636671066284, 1.416999101638794, -0.04611531272530556, 1.1523635387420654, -0.33915919065475464, -0.7484654784202576, 0.48783665895462036, -0.061983224004507065, -0.18406942486763, 0.5151763558387756, -1.1849254369735718, -0.19525682926177979, -0.8993760347366333, -0.10172108560800552, -0.7185449004173279, -0.21129681169986725, 0.08971215784549713, -0.776192843914032, 2.1992502212524414, 0.6547291278839111, -1.1614478826522827, -0.05354974418878555, 0.5363051891326904, 0.22957494854927063, 0.7551456689834595, -0.5377815961837769, -0.7885965704917908, 1.9865938425064087, -0.7035921216011047, -0.18324297666549683, 1.6474621295928955, -0.3523005247116089, 0.44744178652763367, 0.11086566001176834, -1.0064318180084229, 0.337650328874588, 0.8196161389350891, 0.6090251207351685, 0.9081199169158936, 0.09924253821372986, -1.367956519126892, 0.5087380409240723, 0.4120093882083893, -0.09093213826417923, -0.6011067628860474, -0.2657311260700226, -2.3914365768432617, 1.3210558891296387, -0.2595480680465698, -0.3506511151790619, -0.5384091138839722, 0.4006231129169464, -0.9542247653007507, -0.4257974326610565, -0.3096406161785126, -0.8286305069923401, -1.379677176475525, 0.3802693486213684, -0.3956502377986908, -0.03860926255583763, 0.1274668425321579, 1.1707165241241455, -0.6809855103492737, 0.9118035435676575, 0.3094893991947174, 1.0834633111953735, -0.4563341438770294, -1.825076699256897, -0.3839816749095917, 0.15268470346927643, -0.7350944876670837, 0.6524055004119873, 0.7486286759376526, -0.6571972370147705, -0.27384355664253235, -1.4358607530593872, -0.5057802200317383, -0.5781125426292419, -0.7151623368263245, -0.39021459221839905, -0.9282813668251038, -1.5124152898788452, -0.24279038608074188, -0.5282787680625916, 0.46065130829811096, -8.171804428100586, -0.3841977119445801, -0.492336243391037, -0.4808028042316437, 0.36243510246276855, -0.2687327563762665, -0.08331960439682007, -1.2636216878890991, 0.08903001993894577, -0.9395164847373962, 0.5110265016555786, -0.14348924160003662, -0.875365138053894, -0.648061215877533, -0.6673367619514465, -0.33477628231048584, 1.070441484451294, 0.5176519155502319, 0.7383919954299927, 0.7614536881446838, -1.6570727825164795, 0.2694372236728668, -0.467052698135376, -0.8806370496749878, 0.3839518129825592, 0.40804752707481384, 0.6903553009033203, -0.36175721883773804, 0.3411945104598999, 0.35149988532066345, -0.1781640499830246, 1.1141999959945679, 0.6981545686721802, 0.0953403040766716, 0.6367387771606445, -0.9950500130653381, 1.0958925485610962, 1.0061930418014526, -0.027169281616806984, -0.5550763607025146, 0.7561970353126526, 0.06081150844693184, 1.0159547328948975, -0.3726740777492523, -0.3479840159416199, -0.421309232711792, 0.035236287862062454, -0.7903724908828735, 0.41002315282821655, -0.5565136671066284, -0.762029767036438, 0.4964092969894409, 0.5689159035682678, 0.58979332447052, -0.6504544615745544, 1.1666300296783447, -0.22191348671913147, 0.18572382628917694, -0.860467255115509, -0.23160980641841888, 0.14954283833503723, 0.008143128827214241, 0.06783505529165268, 0.4565054774284363, 0.531753659248352, -0.38262757658958435, -0.09155725687742233, -0.5703967809677124, 0.18836280703544617, 0.9570572376251221, 0.7535332441329956, -2.331303358078003, 1.0645447969436646, 0.688850998878479, -0.8181252479553223, 0.1561058908700943, 0.6911836862564087, -0.844452440738678, 0.12344958633184433, -0.7940065264701843, 0.6392077207565308, -0.09289763867855072, -1.126880407333374, 1.2736152410507202, -0.5434671640396118, -0.28288695216178894, -0.022824492305517197, -1.136875033378601, 0.7249796390533447, -0.2354581654071808, -0.039109934121370316, 0.2587492763996124, -0.36248138546943665, 0.9032299518585205, 0.23387768864631653, 0.39462292194366455, -0.5922879576683044, -1.0834585428237915, -0.6043769121170044, 0.09730357676744461, -0.7284759283065796, -0.11146534979343414, -0.4284266233444214, 0.7546619176864624, -0.5908584594726562, 0.9998341202735901, 0.15902858972549438, -1.4405070543289185, 0.15755200386047363, 0.3750450909137726, -1.112880825996399, -1.0245983600616455, -0.4888375997543335, -0.40471938252449036, 0.5283755660057068, 0.41306763887405396, -0.4204716682434082, 0.7285088300704956, -0.5267398357391357, -0.6031333804130554, -0.09892504662275314, -0.19783379137516022, 0.09471888095140457, -0.48234376311302185, 0.20394515991210938, 0.12786850333213806, 0.9744859933853149, -0.3027462363243103, 1.2449976205825806, 0.3660060167312622, 1.0352379083633423, -1.1334424018859863, 0.3207310736179352, 0.859243631362915, -0.2050497978925705, 0.01136705931276083, -0.7071475386619568, -0.07581708580255508, 0.0746258944272995, -0.32722705602645874, 1.240002155303955, 0.49037307500839233, 0.3796970546245575, 0.17120946943759918, -0.0434427447617054, 0.11827706545591354, -0.35064882040023804, 0.8934369087219238, -0.3411991596221924, 0.4096856117248535, -0.1908813863992691, 0.03210736811161041, -0.4988687038421631, 0.8066163659095764, 0.18012748658657074, 0.7967628240585327, -0.9943678379058838, -0.5885769128799438, -0.37341004610061646, -0.5050001740455627, -0.5282565355300903, -0.028391743078827858, 0.050015684217214584, -0.3487548232078552, 0.6432695388793945, 0.07956012338399887, -0.336790531873703, -0.3961189389228821, 0.610156774520874, 0.03446304425597191, 0.27854812145233154, 0.4154866337776184, 0.31966426968574524, -1.4103012084960938, -0.779667854309082, 0.483378142118454, 0.8747912049293518, -1.8407058715820312, 0.42783626914024353, -0.47943806648254395, -0.15600118041038513, -0.5475835800170898, 0.723475456237793, -1.1998025178909302, -0.2906017601490021, 1.0847991704940796, -0.8162530660629272, -0.06552121043205261, -1.0205001831054688, -0.6647056341171265, -0.10230612009763718, -0.3709251284599304, 0.4810885488986969, -0.12631234526634216, -0.4592292010784149, 0.17056824266910553, -0.5859540104866028, 0.08264359086751938, 0.44537216424942017, -0.9012205004692078, -0.034148115664720535, 1.059943437576294, 0.7561225295066833, -0.15203823149204254, -0.6480774879455566, -0.2896290719509125, -0.16739611327648163, 0.3807682991027832, -0.5211260914802551, -0.8247017860412598, 0.3727054297924042, -0.2816796898841858 ]
1,051
0704.1053
Jiyoung Jo
J. Y. Jo, H. S. Han, J.-G. Yoon, T. K. Song, S.-H. Kim, and T. W. Noh
Domain Switching Kinetics in Disordered Ferroelectric Thin Films
4 pages and 4 figures
null
10.1103/PhysRevLett.99.267602
null
cond-mat.mtrl-sci cond-mat.soft
null
We investigated domain kinetics by measuring the polarization switching behaviors of polycrystalline Pb(Zr,Ti)O$_{3}$ films, which are widely used in ferroelectric memory devices. Their switching behaviors at various electric fields and temperatures could be explained by assuming the Lorentzian distribution of domain switching times. We viewed the switching process under an electric field as a motion of the ferroelectric domain through a random medium, and we showed that the local field variation due to dipole defects at domain pinning sites could explain the intriguing distribution.
[ { "created": "Mon, 9 Apr 2007 01:43:56 GMT", "version": "v1" } ]
2009-11-13
[ [ "Jo", "J. Y.", "" ], [ "Han", "H. S.", "" ], [ "Yoon", "J. -G.", "" ], [ "Song", "T. K.", "" ], [ "Kim", "S. -H.", "" ], [ "Noh", "T. W.", "" ] ]
07
[ -0.24001020193099976, 0.3568207919597626, 0.19414649903774261, 0.5967447757720947, -0.03345721215009689, -0.6673614382743835, -0.3144770562648773, 0.002782627707347274, 0.32146820425987244, -0.6824542880058289, -0.2885936200618744, -0.09692759811878204, 0.24340105056762695, 0.5126568078994751, -1.232991337776184, 0.007946375757455826, 0.06132982671260834, -0.7776044011116028, 0.41966938972473145, 1.3661404848098755, -0.04851358011364937, -1.4769128561019897, 0.32864218950271606, -0.3492351472377777, -0.1274484544992447, -0.4166884422302246, -1.7670499086380005, 0.6438360214233398, -0.7287096977233887, -0.48458436131477356, -0.8886990547180176, -0.2888660430908203, 0.5390130877494812, -0.35842859745025635, 0.39252254366874695, -0.2934129238128662, 1.110817313194275, -0.7936818599700928, 0.09925954788923264, -0.056127771735191345, 0.04079950973391533, 1.1024284362792969, -1.2292914390563965, 0.765788733959198, -0.6768914461135864, 1.6924601793289185, 0.7964824438095093, -0.4076240062713623, -0.6578675508499146, -0.411101371049881, 0.50044184923172, 0.7629920840263367, 0.6459854245185852, -0.44327807426452637, 0.7529271245002747, -0.667809009552002, -0.663846492767334, 0.18761694431304932, 0.5958132743835449, -1.1336010694503784, -0.1660875380039215, 0.09131927788257599, -0.14323100447654724, 1.051365852355957, -0.29036906361579895, -0.24307160079479218, -0.1898995190858841, 0.7002124190330505, 1.151110291481018, 0.9143391251564026, -0.7730134725570679, -0.38320013880729675, 0.8415108919143677, -0.6463480591773987, -0.8773897886276245, 1.201377272605896, -0.22406163811683655, 0.05597461760044098, 1.122427225112915, 0.5946956276893616, -0.4483207166194916, 1.1476250886917114, 0.1614593267440796, -0.8256499171257019, -0.10793213546276093, -0.6813560724258423, 0.7758897542953491, -0.797798216342926, -0.6941435933113098, 0.30013853311538696, -0.4383985698223114, -1.3717315196990967, 0.7730172276496887, -0.069623664021492, 1.7663716077804565, 0.37841877341270447, -0.3232314884662628, -0.7233791351318359, 0.25594305992126465, 0.9853717684745789, 0.653173565864563, -0.611599862575531, 0.047841720283031464, 0.19527119398117065, -0.5624904036521912, 0.44819366931915283, -1.1253238916397095, 0.15347574651241302, 0.4553770124912262, 0.12435232102870941, 0.043354544788599014, -0.1609380841255188, -0.0946187898516655, 1.1758711338043213, -0.2712346911430359, -0.16997091472148895, -1.0041412115097046, -0.5691273808479309, 0.5198556780815125, -0.7715930342674255, -0.17820045351982117, -0.6004389524459839, 0.2970552444458008, 0.3391909897327423, 0.93447345495224, 0.6315961480140686, -1.0033702850341797, -0.7508386373519897, 0.05101289600133896, 0.5230743885040283, -0.1933823823928833, -0.027463244274258614, -0.06624877452850342, -1.2074980735778809, 0.3675549626350403, 0.38307660818099976, 0.36332619190216064, 0.094328872859478, -0.31193262338638306, -1.0556609630584717, 0.19627812504768372, 0.4038504660129547, -0.7447201609611511, 0.1387951523065567, -0.20644144713878632, -0.7863154411315918, 0.01321367360651493, -0.680336594581604, 0.3451274335384369, -0.7787540555000305, -1.3514901399612427, -0.1657644808292389, -0.09334759414196014, 2.1047494411468506, 0.45052000880241394, -0.36305850744247437, -0.9602630734443665, -0.6458047032356262, -1.2162392139434814, 0.4171871244907379, 0.49932241439819336, 1.6779276132583618, 0.2901342213153839, 0.07563040405511856, -0.23380018770694733, -0.09521928429603577, 0.39385372400283813, -0.34396788477897644, -0.731951117515564, 0.14251703023910522, -0.6224245429039001, -0.7085018754005432, -0.22271133959293365, 0.06439436227083206, 0.09223201870918274, 0.3828611969947815, 1.7360868453979492, -0.2905515134334564, -0.7335087656974792, 0.38633254170417786, -0.14331278204917908, -0.9567951560020447, -1.5486741065979004, 0.12275209277868271, 0.259982168674469, -1.3702350854873657, -0.6664483547210693, -1.0130318403244019, 0.6264858841896057, -0.5645620226860046, 0.5081791877746582, 1.5669798851013184, 0.01537338737398386, -1.0405634641647339, -0.3315017819404602, 1.3669013977050781, -0.6641201972961426, 1.4357291460037231, -0.7303522825241089, 0.25228381156921387, -0.0976492241024971, 1.1241240501403809, -0.4692321717739105, 0.0015087078791111708, -1.9599779844284058, -0.4432275891304016, -0.21379129588603973, -0.2876757085323334, 0.24950845539569855, -0.38583117723464966, -1.3310792446136475, 0.4000418186187744, -0.7832163572311401, 1.158583641052246, 1.5036277770996094, -0.265821635723114, 0.035276491194963455, 0.5587211847305298, -0.7579652070999146, -0.08193389326334, -0.8237977623939514, -0.06687695533037186, 0.22350533306598663, -0.6204866766929626, 0.2725147306919098, -1.1951311826705933, -1.451077938079834, 0.5753796100616455, -0.19177192449569702, -0.45228853821754456, 0.3420259654521942, -1.1129937171936035, -0.7755275964736938, -1.0505248308181763, 0.1741640269756317, -0.458380788564682, -0.36736735701560974, -0.27286267280578613, 0.3883245587348938, -1.4496482610702515, -0.9634577631950378, -0.45069804787635803, 0.23686975240707397, 0.08708654344081879, -0.6695206761360168, 0.5308353900909424, -0.00563390925526619, -0.08263528347015381, 0.8813844323158264, -0.7928710579872131, 0.3395349085330963, 0.6404978036880493, -0.25047606229782104, -0.16371993720531464, -0.24839647114276886, 0.7049710154533386, 0.4966738224029541, -0.6561738848686218, -0.06606310606002808, 1.1504945755004883, 0.21625830233097076, -0.8027356266975403, 1.5463097095489502, -0.6554007530212402, -1.5202763080596924, 1.3834552764892578, 0.4552326500415802, 0.18393845856189728, 1.3559974431991577, 0.6300696730613708, -0.59705650806427, -0.4163978397846222, 0.09158940613269806, -0.10744408518075943, -0.29664406180381775, -1.07681143283844, -0.7659831047058105, -0.5341544151306152, -0.15159441530704498, 0.3005930185317993, 1.186594009399414, -0.6661171913146973, 0.26122167706489563, 0.2197752147912979, 1.2246931791305542, 0.6409704685211182, 0.6194695830345154, -0.9738291501998901, -0.6477006077766418, 0.2807547152042389, -0.17022863030433655, 0.37306109070777893, -0.6122207641601562, 0.25425177812576294, 0.019063182175159454, -0.5393398404121399, 0.018155740574002266, 0.3712250590324402, -0.33890044689178467, 0.4116506576538086, 1.1056103706359863, -0.009701411239802837, -0.8227147459983826, 1.2030613422393799, -0.09278128296136856, 0.061903227120637894, 0.2903173863887787, -0.3019599914550781, -0.087823785841465, 0.31540918350219727, 0.7351146936416626, 1.7198148965835571, 0.4014055132865906, -0.5725334286689758, 0.987815797328949, -0.4870159327983856, 0.12542715668678284, -0.34441784024238586, -0.09303253144025803, -0.1550544798374176, 0.2534359395503998, -0.504096508026123, -0.4855372905731201, -0.3669194281101227, -0.2341451495885849, -0.5069523453712463, 0.2739500403404236, 0.03912806883454323, 0.8757542371749878, -2.075571298599243, -0.2999209463596344, -0.8484405279159546, -0.4673675000667572, -0.7590611577033997, 0.6325981020927429, -0.2780486047267914, -0.499973326921463, -1.3200222253799438, 1.1217421293258667, -0.7095305919647217, -1.1956743001937866, 1.3237587213516235, 1.8950982093811035, 0.06838017702102661, 1.088578462600708, -0.37240874767303467, 0.1480359584093094, 0.8245591521263123, -0.3894939124584198, 1.587607502937317, 0.8522173166275024, -0.5912586450576782, -0.6740105152130127, -0.6267085671424866, -0.8152103424072266, -0.16648714244365692, 0.7307320833206177, 0.0762702003121376, -0.22290225327014923, -0.14172500371932983, 0.14649303257465363, -0.42996758222579956, 0.4537099003791809, -0.6060680747032166, 0.16719265282154083, -0.7351679801940918, -0.4701279103755951, 0.2016289383172989, 0.163380965590477, 0.008427516557276249, 1.4832594394683838, 0.3351740539073944, -0.011345121078193188, -0.8391379714012146, 0.14541484415531158, 0.0488307811319828, 0.35543590784072876, 1.2382208108901978, 1.1029185056686401, -0.6197846531867981, -0.1742578148841858, -0.6320079565048218, 0.4228734076023102, 0.02597261406481266, 0.9930969476699829, 0.4619584381580353, 0.753813624382019, -0.591485857963562, -1.2281924486160278, -0.024689745157957077, -1.3690296411514282, 0.7595391869544983, 0.7494827508926392, -0.08825227618217468, -0.44478297233581543, 0.14441949129104614, -0.34659692645072937, -0.13941849768161774, -0.25773492455482483, -1.1917603015899658, 1.1507748365402222, 0.648341715335846, -0.911340057849884, 0.5603945255279541, -0.014874122105538845, -0.6832366585731506, 0.12259790301322937, 0.5362525582313538, 0.5137768387794495, -0.5322901010513306, -1.8754204511642456, 0.20769232511520386, 0.6582822799682617, -0.8156417608261108, 0.15537938475608826, 0.5942249298095703, -0.1851402074098587, 0.5198204517364502, -0.7993241548538208, -0.1547318398952484, -0.0722205862402916, -0.42564964294433594, -0.15099972486495972, 0.3787257671356201, 0.18964532017707825, 0.16470468044281006, 0.19349579513072968, 0.546748161315918, -0.632903516292572, -0.3418046236038208, -1.077362298965454, -0.9516537189483643, -2.1110641956329346, 0.18628233671188354, 0.05005386844277382, -0.23187628388404846, 0.3078612983226776, 0.005134901497513056, 0.22943712770938873, 0.0935058668255806, -0.46750274300575256, 0.056230105459690094, -0.9169589877128601, -0.3303277790546417, -0.7016154527664185, -0.9151380062103271, -1.3517030477523804, 1.5332850217819214, 0.004944001790136099, 0.028216565027832985, -0.9313305616378784, 0.7609460949897766, -0.9945722818374634, -0.1679813116788864, 0.3418731987476349, -1.4454107284545898, -0.6115086078643799, 0.500350296497345, -0.7748568654060364, -0.49242106080055237, -0.284725159406662, 0.44866880774497986, -0.44719552993774414, -1.1169676780700684, 0.35966336727142334, -0.08322174102067947, 0.8067449927330017, 1.0746859312057495, 2.163846254348755, -0.8215972185134888, 1.1146020889282227, -0.14431563019752502, -0.37471336126327515, -0.5954896211624146, 1.595468282699585, 0.6344506144523621, 1.0413804054260254, 0.13073238730430603, -0.9412754774093628, 0.8185585141181946, 0.5585341453552246, -0.003202912164852023, 0.49337151646614075, -0.3268369436264038, -0.11276603490114212, -1.1849836111068726, -0.6056614518165588, -1.0552984476089478, -0.717709481716156, 0.29307594895362854, -0.28231316804885864, 0.5115135312080383, -0.571499228477478, 0.9953327775001526, -0.0438045896589756, -0.664768397808075, 0.4474613666534424, -0.27119413018226624, 0.6736776232719421, -0.33554860949516296, -0.04920045658946037, -0.9651128053665161, -0.021186398342251778, -0.14923714101314545, -0.07174713909626007, -0.5611453652381897, -0.751438558101654, -0.2248464822769165, -0.43484988808631897, 0.21693192422389984, -0.30024582147598267, -2.126431941986084, 0.09259124100208282, 0.4614049792289734, -0.023831872269511223, -0.41784214973449707, -0.6650573015213013, -3.0350682735443115, -0.7467405796051025, 0.19571428000926971, -0.5779693722724915, 0.44712746143341064, 1.0570564270019531, -0.4471365511417389, 0.9376064538955688, 0.172923281788826, 0.5129198431968689, 0.4886479079723358, -0.05231781303882599, 0.4108416438102722, -1.0897899866104126, 0.6120860576629639, -0.17896704375743866, 0.727332353591919, 0.17003469169139862, -0.2572641968727112, -0.4839852750301361, -0.18272972106933594, -0.5726814866065979, -0.02469787374138832, 0.7711160778999329, -1.4188320636749268, 0.15654036402702332, 0.2669927477836609, 0.321278840303421, 0.6738799810409546, 0.022902950644493103, 0.1390736997127533, 0.4603346586227417, -1.4419246912002563, -0.7141366004943848, 0.01860271953046322, -0.575713574886322, -0.7130173444747925, 0.35209935903549194, -0.9426137208938599, -7.661252498626709, 0.3846677541732788, -1.694158673286438, 0.14558984339237213, 0.6018732190132141, -0.03997768089175224, 0.6463150382041931, -0.6267194747924805, -0.3824246823787689, 0.00018790957983583212, 0.2030791938304901, 0.1827651560306549, 0.15018746256828308, -0.35914796590805054, 0.43870994448661804, 0.1603337973356247, 0.6434506773948669, 0.4096909463405609, -0.38238322734832764, 0.26419222354888916, -0.27308857440948486, -0.14730513095855713, 0.7181844115257263, 0.8113529682159424, 0.5870487689971924, 0.25781819224357605, -0.5066334009170532, -0.7213085889816284, 0.21102304756641388, 0.29304274916648865, 1.0617069005966187, 0.2966318130493164, 0.837848424911499, 0.879187822341919, -0.4153422713279724, -0.274627149105072, 1.112565517425537, 0.7866664528846741, 0.2932947874069214, 0.31806832551956177, 1.425964117050171, -0.352969765663147, 0.2802993655204773, -2.247405529022217, -0.6809241771697998, 1.1208468675613403, -0.725771427154541, -0.4817952513694763, 0.6234857439994812, -0.019810829311609268, -0.5909066796302795, 0.9092786908149719, 0.21587269008159637, 0.3831145465373993, -0.4285952150821686, 0.6906428933143616, -1.0749714374542236, -0.3182326853275299, -0.7172707915306091, 0.641146183013916, -1.3869640827178955, -0.06781980395317078, 0.12923209369182587, 0.21821114420890808, -0.7665285468101501, -2.3602960109710693, -0.06507035344839096, 0.43277671933174133, 1.1010783910751343, -1.4008923768997192, -0.6033725738525391, -1.1569992303848267, 1.1287139654159546, 0.777247428894043, 1.3646436929702759, -0.2699824273586273, 0.3771045207977295, 0.5292434096336365, -0.45952752232551575, 0.42020273208618164, -1.1694504022598267, 0.3099405765533447, -0.5763237476348877, -0.4268958270549774, 0.5198360085487366, -0.22485367953777313, -0.27750083804130554, 0.6168157458305359, 0.18645627796649933, -0.9841213822364807, 0.866707980632782, 0.21693159639835358, -0.23748618364334106, 0.49810391664505005, 0.5876002311706543, -0.43955180048942566, 0.6634539365768433, -0.31731316447257996, -1.4518235921859741, 0.06310470402240753, -0.04536457359790802, 0.2322583645582199, -1.2594236135482788, 0.819409191608429, 1.4250761270523071, -0.06435733288526535, -0.03957900404930115, 0.45570385456085205, 0.4322822391986847, -0.006082506850361824, 0.6599208116531372, 0.48614701628685, -0.16707409918308258, 0.21146120131015778, -0.38382846117019653, -0.33898136019706726, 0.8997159600257874, 1.0157694816589355, -2.095144271850586, 0.9327002763748169, -1.3046400547027588, 0.46522173285484314, -0.3672710657119751, -0.6396190524101257, 0.10525627434253693, 0.5837157368659973, 1.6517738103866577, -0.7703493237495422, -0.14575932919979095, 0.5778099894523621, 0.12810790538787842, -1.8015103340148926, 1.187505841255188, 0.040188979357481, 0.21858549118041992, 1.0824044942855835, -1.6758694648742676, -0.789032518863678, 0.5499818325042725, 0.5620462894439697, 0.3323085308074951, 0.5932502150535583, 0.31113967299461365, 0.23397858440876007, 0.32077422738075256, -0.7292917966842651, 1.0428178310394287, 0.11183813959360123, -0.45395922660827637, -0.38467180728912354, 0.04704408720135689, -0.4075995087623596, 0.7856577038764954, 0.028956130146980286, 0.44573742151260376, 0.46262186765670776, 0.0323709137737751, 0.5431997179985046, -0.2465873658657074, -0.733478307723999, -0.047987811267375946, -0.9584958553314209, 0.1304730474948883, 1.3469573259353638, -1.7838588953018188, -0.13742774724960327, -0.7404821515083313, -0.3114703595638275, -0.5986977815628052, 0.11743469536304474, 0.06929384917020798, -0.0557016097009182, 0.4306349456310272, -0.5595284700393677, -0.6245272755622864, -1.332132339477539, 0.6343487501144409, 0.776191234588623, 1.507392406463623, 0.2975412607192993, 0.19966140389442444, 0.33490508794784546, -0.22234024107456207, -0.18770095705986023, -0.45627743005752563, -0.29990145564079285, 1.235728144645691, -0.20988216996192932, -1.3091641664505005, -0.012596567161381245, 0.17848463356494904, -0.03511085361242294, -0.2784266769886017, 0.04174017161130905, -0.1547122299671173, -1.084897756576538, -0.248290553689003, -0.37135764956474304, -0.19203487038612366, -1.0058879852294922, -0.6797687411308289, 2.0640883445739746, -1.1147181987762451, -0.4124894142150879, 0.3606715798377991, 0.6543537378311157, -1.1588150262832642, -0.17742568254470825, 0.3725315034389496, 0.6982393860816956, 0.5219246745109558, -0.04314166307449341 ]
1,052
0704.1054
Moninder Modgil
Moninder Singh Modgil
Geometry of Time, Axiom of Choice and Neuro-Biological Quantum Zeno Effect
13 pages
null
null
null
physics.gen-ph
null
Role of axiom of choice in quantum measurement is highlighted by suggesting that the conscious observer chooses the outcome from a mixed state. Further, in a periodically repeating universe, these outcomes must be pre-recorded within the non-physical conscious observers, which precludes free will. Free will however exists in a universe with open time, It is suggested that psychology's binding problem is connected with Cantor's original definition of set. Influence of consciousness on material outcome through quantum processes is discussed and interesting constraints derived. For example, it is predicted that quantum mechanical brain states should get frozen if monitored at sufficiently small space-time intervals - a neuro-biological version of the so called quantum zeno effect, which has been verified in domain of micro-physics. Existence of a very small micro-mini-black-hole in brain is predicted as a space-time structural interface between consciousness and brain, whose vaporization explains mass-loss reported in weighing experiments, conducting during the moments of death.
[ { "created": "Mon, 9 Apr 2007 01:56:16 GMT", "version": "v1" } ]
2007-05-23
[ [ "Modgil", "Moninder Singh", "" ] ]
07
[ -0.18190230429172516, 1.312846302986145, 1.542748212814331, 0.5480223298072815, 1.4422755241394043, -0.5591986179351807, -0.7506688237190247, -0.5238709449768066, 0.18399600684642792, 0.0840878039598465, 0.8052965402603149, 0.7722327709197998, 0.9485923647880554, 0.969436526298523, -1.0770010948181152, -1.8320006132125854, -0.28699177503585815, -0.8662045001983643, -0.46495765447616577, 0.46339964866638184, 0.05090104043483734, -0.7284355759620667, -0.6933088898658752, -0.6747249364852905, -0.413209468126297, -0.10721123963594437, -0.2238045632839203, -0.14044813811779022, 0.851195216178894, 0.9337432980537415, -1.1482003927230835, 0.7867077589035034, 0.8673421144485474, -0.29506757855415344, 0.45754101872444153, -0.028259914368391037, 1.0373344421386719, -2.0701744556427, -1.364986538887024, -0.18311308324337006, -0.8576264977455139, 1.7609013319015503, 0.3426143527030945, 0.930525004863739, -0.9379099607467651, 0.07747209072113037, 0.25274690985679626, -0.08897069096565247, 0.02152346633374691, -0.3073590397834778, -0.4259091317653656, 0.6626394987106323, 0.3109356462955475, 0.41854119300842285, 0.4672640562057495, 1.0014705657958984, 0.30153369903564453, -0.1320389360189438, -0.32527095079421997, -0.63124018907547, -0.4266887307167053, 0.14531108736991882, 0.0540296770632267, -0.16659605503082275, -0.20024991035461426, -0.8590513467788696, 1.7766813039779663, 0.6037451028823853, -0.0764978677034378, 0.5308062434196472, -1.0735394954681396, -0.3662908673286438, -0.47255566716194153, 0.031150076538324356, 1.6093250513076782, -1.0207693576812744, -0.14908674359321594, 0.268827885389328, 1.038543462753296, 0.27859511971473694, 1.2287579774856567, 0.39266499876976013, -0.37641820311546326, -0.472272664308548, -1.6445962190628052, 1.0165683031082153, 0.309765100479126, -0.8282690048217773, -0.8161253333091736, 0.06675142049789429, 0.08796749264001846, -0.9994788765907288, -0.040349602699279785, -0.45752790570259094, 1.1473506689071655, -0.33041632175445557, -0.09232411533594131, 0.37002429366111755, 0.4765579402446747, -1.0718270540237427, 0.3813531994819641, 0.08788947761058807, 0.1312636435031891, -0.049280863255262375, -0.02409227192401886, 0.7039617896080017, -0.5332956314086914, -0.38748157024383545, -0.9126605987548828, 0.4464804232120514, -0.026210324838757515, -0.8717985153198242, -0.6534340977668762, 0.10261551290750504, -0.23396705090999603, 0.7786684632301331, -0.3579672574996948, 0.5401325225830078, 0.7108678817749023, -0.583052933216095, -0.3314755856990814, 0.05832632631063461, -0.5285718441009521, 0.15167495608329773, 0.5766139626502991, 0.5982109904289246, 0.6144471168518066, -0.3683107793331146, 0.21773377060890198, 0.0779913067817688, 0.839561402797699, 0.10180847346782684, -0.6474857926368713, -0.7923193573951721, -0.6900582909584045, 0.40171292424201965, 0.27772411704063416, 0.4018169641494751, -0.9723528027534485, 0.9706125855445862, -0.6471803784370422, 0.4197363257408142, 0.5383549928665161, -0.3477461636066437, -0.3279215097427368, 0.22339816391468048, -0.7591391205787659, 0.846296489238739, -0.33398422598838806, -0.4796627461910248, 0.5594082474708557, -0.6580917239189148, -0.12491719424724579, 0.24635249376296997, -0.7207515835762024, -1.3958094120025635, 0.24463199079036713, 0.37526506185531616, -0.5650014281272888, -0.18068620562553406, -0.7762570977210999, -0.9851837754249573, -0.01586782932281494, 0.47182366251945496, -0.3619457185268402, 0.38680076599121094, -0.3812743127346039, 0.7445159554481506, 0.3250308036804199, 0.6508887410163879, 0.1868796944618225, -1.0660581588745117, -0.7441760897636414, 1.1809778213500977, 0.4503912925720215, 0.45415759086608887, 1.1434898376464844, 0.33826544880867004, -0.28133347630500793, 0.384530246257782, 1.349840760231018, 0.054162971675395966, -0.6296288967132568, -0.6152085661888123, 0.2610805034637451, -0.2016252875328064, 0.7151289582252502, -0.37495505809783936, -1.2288233041763306, 0.6416323781013489, 0.14419938623905182, -0.0057432204484939575, -0.11366011947393417, -0.6998614072799683, 0.5140717029571533, 0.5386970639228821, 0.28594329953193665, -0.018212594091892242, -0.31226444244384766, 0.19322703778743744, -0.30465489625930786, 0.4486488103866577, 0.7000423669815063, -1.6222319602966309, -0.6931666731834412, 0.09091993421316147, -0.7496733069419861, -0.6026472449302673, -1.1632943153381348, 0.5425233840942383, -0.30318790674209595, -0.39552295207977295, -0.04529958590865135, 0.429076611995697, -0.7591785788536072, 0.6467224359512329, -0.4906562566757202, -1.9427796602249146, -0.08858683705329895, 0.6892608404159546, -0.8742735385894775, 0.5187377333641052, 0.24710236489772797, 0.472311794757843, -0.2856658697128296, 1.790161371231079, 0.026098504662513733, 0.7893950343132019, 0.5226620435714722, -0.04592306911945343, 0.37951135635375977, -0.7732352614402771, -0.018574578687548637, -0.5986109375953674, -0.4188249707221985, -0.08531957119703293, -0.7884293794631958, 0.30639562010765076, -0.4601638615131378, 0.4916762113571167, -0.8081986904144287, 0.22095373272895813, 0.7358108758926392, -0.11483849585056305, -0.1807911992073059, -0.05936415120959282, 0.3590584695339203, 0.6880863308906555, -1.3564776182174683, -0.14258624613285065, 0.02663288451731205, 0.22766444087028503, -0.8579861521720886, 0.07750707864761353, 0.5382459759712219, -0.40345826745033264, 0.3021359145641327, -0.5614802837371826, 0.6317631602287292, 0.3476005494594574, -0.5916470289230347, -0.9602800011634827, 1.547547459602356, -0.31686991453170776, 0.23478345572948456, -0.6380215287208557, 1.4710739850997925, 0.20564626157283783, -0.11101522296667099, 0.6441599130630493, -1.1425315141677856, -0.7269067168235779, -1.2091941833496094, -0.6963077783584595, 0.38548874855041504, 0.25461438298225403, -1.650916337966919, -0.4653213918209076, -0.14841274917125702, 0.2657228708267212, -0.7230651378631592, 0.82540363073349, -0.662128210067749, 0.6785249710083008, -0.11545995622873306, -0.43509870767593384, 0.6650864481925964, -0.0929073691368103, 1.408810019493103, 1.3569273948669434, -1.247351884841919, 0.6237069964408875, 0.3539721667766571, -0.21988849341869354, 0.18151512742042542, -1.3235368728637695, 0.9777738451957703, -0.039814095944166183, 0.4939822852611542, -1.0034310817718506, -0.9992044568061829, -0.005714584607630968, -0.13666439056396484, 0.12363677471876144, 2.509673833847046, -0.23560599982738495, 0.02275875397026539, 0.4425172209739685, -0.081778883934021, 0.40432021021842957, 1.3967087268829346, -0.2888631224632263, -0.772991955280304, 1.095905065536499, -0.06765111535787582, -0.5076775550842285, -1.1586668491363525, 0.11411388218402863, 0.02773231640458107, 0.286041259765625, 0.9189850687980652, 0.32220858335494995, 1.9670854806900024, -0.8641325831413269, -0.9761497974395752, -0.7555809020996094, 0.006304669659584761, -0.7009677886962891, 1.1257838010787964, -0.0881536528468132, -0.07047714293003082, 0.5685072541236877, -0.8909991383552551, -0.2867469787597656, -0.10898467153310776, -0.9385538697242737, -0.0033947043120861053, -0.28911343216896057, 0.9600440263748169, 0.08358002454042435, -0.01994132436811924, -0.9728243350982666, 0.5132303833961487, 0.8839173316955566, -0.5444013476371765, -0.1051630973815918, 0.20517314970493317, 0.4600825309753418, 0.31759563088417053, -0.06692769378423691, -0.745445728302002, -0.34461158514022827, -0.00555726932361722, 0.5253525972366333, 0.4729956388473511, -0.15131042897701263, 0.5972201228141785, 0.8264287710189819, -0.4442189633846283, 0.055204931646585464, 0.6825093626976013, 0.08961203694343567, 0.3838403820991516, -0.20036791265010834, -0.03782028704881668, -0.6546681523323059, -0.34091654419898987, 0.45093369483947754, -1.338621735572815, 0.19151188433170319, -0.7132223844528198, 0.9502150416374207, 0.4988303780555725, -1.059417486190796, -1.0736486911773682, 0.7314273118972778, 1.690955400466919, -1.2045612335205078, 0.27110713720321655, -0.23063603043556213, -0.6743987798690796, 2.027944803237915, 0.56288081407547, -0.9373449087142944, -0.32110872864723206, 0.677113950252533, 1.2262380123138428, -0.3265189826488495, -0.27709484100341797, 0.08398561179637909, -0.6539180278778076, 0.47070249915122986, -0.3523198664188385, -0.9342955946922302, -0.3292619287967682, -0.8685892820358276, 0.5647174715995789, -0.28036177158355713, 0.8110723495483398, 0.44183349609375, 1.1303476095199585, 0.031728923320770264, -0.8999357223510742, -1.0729806423187256, 1.5804349184036255, 0.7986220717430115, -0.11385892331600189, 0.31367889046669006, -0.08462011814117432, -0.22983194887638092, -0.9944667816162109, -1.1520755290985107, -0.4638853371143341, -0.3435301184654236, 1.3055258989334106, -2.079923629760742, -0.46443215012550354, 0.04855308309197426, 0.28044718503952026, 0.027258390560746193, -0.3628123998641968, -0.2512889802455902, -0.008389460854232311, 1.1583733558654785, 0.8808777928352356, -0.22686699032783508, -0.6114665865898132, 0.747599184513092, 0.4082116186618805, -0.17919646203517914, -0.40780043601989746, -0.5388675928115845, 0.4101676642894745, 1.8820947408676147, -0.938531756401062, -0.8813542723655701, 0.24700896441936493, -1.1559350490570068, 0.06193375587463379, -0.5793540477752686, -0.2550036609172821, 1.0771528482437134, 0.7441701889038086, 0.11001522094011307, -0.6442529559135437, -0.144240602850914, -0.6877756118774414, 0.3823164403438568, -0.5225333571434021, 0.5357891321182251, -0.13382312655448914, 1.5707358121871948, -0.3318917453289032, 0.1452375203371048, -0.03961515799164772, -0.7152939438819885, 1.0098345279693604, 0.8787906765937805, -0.23160672187805176, 0.10104119032621384, -0.19483356177806854, 0.07907994091510773, 0.5283759832382202, -1.2066372632980347, 0.6230319142341614, -0.5363788604736328, -0.8381091952323914, -0.5839318037033081, -0.9436497092247009, 0.18402127921581268, 0.30602261424064636, 0.542186975479126, -0.5438799858093262, -0.3268771767616272, -0.7361168265342712, -0.006524034775793552, 0.61720871925354, -0.6264217495918274, 0.27864158153533936, 0.7662660479545593, 0.9819386601448059, 1.0168851613998413, 0.25389987230300903, -0.6074208617210388, 0.38578376173973083, 0.17088349163532257, -0.008008061908185482, 1.063937783241272, 0.8722632527351379, 0.04997531324625015, 0.7853965163230896, 0.05249357968568802, -0.5325233936309814, -0.28187865018844604, -0.4280184209346771, 0.018726985901594162, -0.2006865292787552, -0.17256055772304535, 0.20297428965568542, -0.6560057997703552, -0.37941333651542664, -1.0612739324569702, -0.3906894028186798, -0.3184446096420288, 0.2205437421798706, 0.02027389034628868, -0.7554691433906555, -0.0798567533493042, 1.1201834678649902, 1.6751198768615723, -0.579602062702179, 1.0762213468551636, -0.631267249584198, 0.9801185727119446, 0.9492678642272949, -0.6550831198692322, -0.24355320632457733, -2.6014621257781982, -0.5465399026870728, -0.6491782665252686, -0.48385366797447205, -0.5213883519172668, -0.38605910539627075, -0.09051080793142319, 0.604691743850708, 0.2106046825647354, -0.43023526668548584, -0.22864049673080444, 0.13595932722091675, 0.705303966999054, 0.0994039997458458, 0.6113998889923096, -0.8084335327148438, 0.8425673842430115, -0.07856862246990204, 0.653140127658844, -0.003180756699293852, -0.8708692193031311, -1.1672792434692383, -0.050990957766771317, -0.08065486699342728, -0.7791808247566223, -0.5498870611190796, -0.9234355688095093, 0.026891322806477547, -0.9793961644172668, -1.4042563438415527, 0.2911732792854309, -1.3843265771865845, -0.7120200395584106, -0.12665364146232605, -0.5656583309173584, 0.03873863071203232, 0.8833749890327454, -0.2747395634651184, -0.554149866104126, -7.916025161743164, 1.158504605293274, -0.557913601398468, -0.4504997134208679, 0.5052030682563782, -0.8001695275306702, -0.3036686182022095, -1.5926527976989746, -0.5234570503234863, -0.723558247089386, 0.8905963897705078, 0.47578367590904236, 0.05520420894026756, -0.4807243049144745, 1.3061028718948364, 0.5906790494918823, -0.2853696942329407, -0.03163342550396919, -0.8087028861045837, -0.6945724487304688, -0.8882675170898438, 0.659938633441925, 0.1276162713766098, -0.6859724521636963, 1.3268777132034302, -0.0021941775921732187, -0.020934121683239937, -0.25557342171669006, 0.04039902612566948, 0.5954594016075134, -0.8858402967453003, 0.30040252208709717, -0.9239194989204407, 0.841995120048523, 0.48412320017814636, -0.49276772141456604, 1.1905343532562256, 0.718195378780365, -0.6392728686332703, -1.0625773668289185, -0.3442353904247284, -0.16931354999542236, -0.10673055797815323, -0.42455968260765076, 0.38821977376937866, -0.41598445177078247, -0.4729869067668915, 0.05877188965678215, -0.9792222380638123, -1.332167148590088, -0.02794855646789074, -1.0207443237304688, -0.2452172189950943, 0.11716755479574203, 0.030440710484981537, -0.2163812816143036, -0.5966843366622925, 0.35547909140586853, -0.13642677664756775, 0.47958552837371826, -0.2990495264530182, -0.5349866151809692, 0.30857014656066895, -0.6788691878318787, 0.5262129902839661, 0.21879419684410095, -1.482485055923462, -0.8122562170028687, -0.028890976682305336, 0.4182603359222412, -0.5468275547027588, 0.12338493764400482, 1.7636561393737793, 0.5314866304397583, 0.07519570738077164, 0.974450945854187, 0.3041674792766571, 1.1193138360977173, 0.018480954691767693, 0.3219497799873352, 0.09606027603149414, 0.8538352251052856, -0.26065918803215027, 1.4230878353118896, -0.5092582702636719, -0.6805671453475952, 0.1254725158214569, -1.6901861429214478, 0.3343754708766937, -0.9969996809959412, -0.20875655114650726, 1.1034163236618042, -0.5268804430961609, -0.6759070158004761, -0.5157765746116638, -0.18546155095100403, -0.13148179650306702, -0.5916037559509277, -0.3409944772720337, -0.8575118780136108, -0.5166704654693604, -0.5784313678741455, 1.4039241075515747, -0.6553559899330139, -0.08901434391736984, -0.3439692258834839, -0.31357255578041077, 1.6066114902496338, 1.4373189210891724, -1.8135945796966553, -0.6558262705802917, 1.0100206136703491, -0.42647701501846313, 0.3836241364479065, -0.9442945718765259, -0.1934918612241745, 0.36614468693733215, 1.3278731107711792, -0.6789731979370117, -1.0108126401901245, -0.884573757648468, -0.6180185675621033, -0.29564109444618225, 0.33934539556503296, -0.04270978644490242, -0.10091053694486618, 0.05994832515716553, -2.3566360473632812, 1.2168855667114258, 0.7947492003440857, -0.17802855372428894, -1.026394248008728, 0.3216854929924011, 0.5775836110115051, -0.8072053790092468, -0.5678885579109192, -0.948489785194397, 1.0066465139389038, -0.8568170666694641, -0.3500553071498871, 1.0610312223434448, 0.5229265689849854, -0.061191510409116745, -0.3434310853481293, 0.16728413105010986, -0.19109344482421875, -0.3252405822277069, 0.8110361695289612, -0.36116212606430054, -0.12189110368490219, -0.40787434577941895, -0.6691035628318787, 0.752339243888855, 0.23591327667236328, -0.37734153866767883, 0.9038838744163513, -1.5668147802352905, 0.5786443948745728, -0.2926231622695923, -0.18408739566802979, 0.058204106986522675, -0.2128889411687851, 0.2927871644496918, 1.491422176361084, -0.03197050094604492, -1.2048757076263428, 0.3192559778690338, 1.3352971076965332, 1.286362886428833, -1.838683843612671, 0.40715011954307556, -0.4170410931110382, -0.6512724757194519, 0.09736436605453491, 0.5945179462432861, 1.0620062351226807, -0.14299564063549042, -0.4689294993877411, -0.2429102212190628, -1.5736488103866577, -0.7161329388618469, 0.09656520187854767, 0.3391645550727844, 0.0716414749622345, -0.5475602149963379, 0.5893188118934631, 0.5730604529380798, 0.5274760127067566, -0.9245418310165405, -1.105976939201355, -0.22401750087738037, 0.023358074948191643, -0.7504478693008423, 0.42026233673095703, 0.17884592711925507, 0.17772017419338226, -0.7289552092552185, -0.15615470707416534, 0.8374910354614258, 0.6756661534309387, -0.5060327649116516, -0.06478556990623474, 1.2937119007110596, -0.4059648811817169, -0.6565285921096802, -1.1806690692901611, 0.4050111770629883, -0.31759142875671387, -0.06812351197004318, -1.1014652252197266, -0.5221623778343201, 0.6112717390060425 ]
1,053
0704.1055
Kentaro Takami
Kentaro Takami (1), Ryo Yamazaki (1), Takanori Sakamoto (2), Goro Sato (2) ((1) Hiroshima Univ., (2) NASA/GSFC)
Probing the Structure of Gamma-Ray Burst Jets with Steep Decay Phase of their Early X-ray Afterglows
21 pages, 10 figures, the paper with full resolution images is http://theo.phys.sci.hiroshima-u.ac.jp/~takami/research/achievements/papers/003_full.pdf
Astrophys.J.663:1118-1124,2007
10.1086/518763
null
astro-ph
null
We show that the jet structure of gamma-ray bursts (GRBs) can be investigated with the tail emission of the prompt GRB. The tail emission which we consider is identified as a steep-decay component of the early X-ray afterglow observed by the X-ray Telescope onboard Swift. Using a Monte Carlo method, we derive, for the first time, the distribution of the decay index of the GRB tail emission for various jet models. The new definitions of the zero of time and the time interval of a fitting region are proposed. These definitions for fitting the light curve lead us an unique definition of the decay index, which is useful to investigate the structure of the GRB jet. We find that if the GRB jet has a core-envelope structure, the predicted distribution of the decay index of the tail has a wide scatter and has multiple peaks, which cannot be seen for the case of the uniform and the Gaussian jet. Therefore, the decay index distribution tells us the information on the jet structure. Especially, if we observe events whose decay index is less than about 2, both the uniform and the Gaussian jet models will be disfavored according to our simulation study.
[ { "created": "Mon, 9 Apr 2007 03:06:07 GMT", "version": "v1" }, { "created": "Fri, 13 Apr 2007 01:22:34 GMT", "version": "v2" }, { "created": "Mon, 18 Jun 2007 11:20:30 GMT", "version": "v3" } ]
2009-06-23
[ [ "Takami", "Kentaro", "", "Hiroshima Univ" ], [ "Yamazaki", "Ryo", "", "Hiroshima Univ" ], [ "Sakamoto", "Takanori", "", "NASA/GSFC" ], [ "Sato", "Goro", "", "NASA/GSFC" ] ]
07
[ 0.16235189139842987, -0.49056491255760193, 0.49016982316970825, 1.128523826599121, -0.6135894060134888, 0.07044637203216553, 1.405840516090393, 0.119620181620121, 0.17104895412921906, 0.7276647090911865, 0.053622111678123474, 0.04916965961456299, 0.4110565185546875, 0.3081585764884949, -0.4597434103488922, 0.530537486076355, -0.7265013456344604, -0.339129239320755, -0.14085160195827484, -1.5006881952285767, 0.7803343534469604, -0.7799543738365173, 1.0492210388183594, -0.02529042959213257, 0.4273574650287628, 0.5729191899299622, 0.8632788062095642, 0.5537248849868774, 0.2311985343694687, 1.2447212934494019, 0.7702988982200623, -0.32469573616981506, -0.01986674591898918, -0.6123814582824707, -0.17399832606315613, 0.8898974061012268, 0.6226528882980347, 1.6146372556686401, -1.40948486328125, 0.7902793288230896, -0.21664899587631226, 0.15785302221775055, 0.23499546945095062, 1.052628517150879, 0.2511935234069824, 0.16954872012138367, 0.32718655467033386, 0.8539031147956848, -1.1020355224609375, 1.5467441082000732, -0.2654019296169281, 0.21627356112003326, 1.7070797681808472, 0.7712352275848389, -0.279737263917923, 0.5722450017929077, -0.4459189772605896, -0.7253609299659729, -0.21622657775878906, -0.6961835026741028, -0.2631813883781433, 0.8542388677597046, -0.36733943223953247, 0.668686032295227, -0.987501323223114, -1.2157530784606934, 2.182530641555786, -0.4124287962913513, -0.5979436635971069, -0.8226636052131653, -0.4991527199745178, 0.016731273382902145, -0.018442252650856972, -0.0612938366830349, -1.4238388538360596, 1.3617342710494995, 0.6403946280479431, 0.44147753715515137, -0.26972317695617676, -1.0994611978530884, -0.1572757512331009, 0.41984498500823975, -0.5070608854293823, -0.5104471445083618, -0.10780442506074905, -0.19423116743564606, -0.29384756088256836, 0.7796388864517212, -0.7627034783363342, -0.9551205039024353, 0.5551734566688538, -0.13303610682487488, -0.05555684491991997, -1.830675721168518, 1.0648802518844604, 1.0668095350265503, -1.2225239276885986, 0.4079494774341583, 0.05596132576465607, -0.39416635036468506, -0.014796828851103783, 0.7751240730285645, -0.005264568608254194, 0.4312717914581299, 0.8255075812339783, 0.8985657691955566, -1.2929633855819702, -0.2347014993429184, 0.5089483261108398, -0.21518683433532715, 0.31254661083221436, 0.6360848546028137, -0.7131444811820984, 1.5089730024337769, -0.6805239915847778, -0.8413237929344177, -0.681325376033783, 1.0598911046981812, -1.2951276302337646, -0.10290507972240448, -1.5113270282745361, 0.9683384895324707, 0.49209851026535034, -0.3246362805366516, 1.127476692199707, 1.067886233329773, -0.24794183671474457, -0.7021579146385193, -0.15356744825839996, -1.1676560640335083, -0.4385516047477722, 0.568656861782074, -0.48987719416618347, -0.03554564341902733, 0.09858447313308716, 0.3680664896965027, -0.6339718699455261, -0.5829681754112244, 0.5303517580032349, -0.14448267221450806, 0.7964767813682556, 0.32426533102989197, -0.03510970622301102, -0.8203314542770386, -0.8620588779449463, -0.3175867795944214, -0.12331975996494293, 0.09242638200521469, 0.2509540915489197, 0.8922364711761475, 0.06902005523443222, -0.1676466166973114, -0.005205737892538309, 1.2961457967758179, 1.2881726026535034, -0.5624264478683472, 0.9008129239082336, 1.1886720657348633, 1.4775747060775757, 2.3387837409973145, 0.08832500129938126, -0.18456174433231354, 0.5531275272369385, -0.8629444241523743, -1.315238118171692, -1.3233002424240112, 0.6501805782318115, -0.3054177463054657, -1.4730056524276733, -0.08187510818243027, -0.04119117930531502, -1.2961691617965698, 0.07342114299535751, 0.5506536364555359, -1.5257340669631958, -2.0228781700134277, 1.012866497039795, -0.9218296408653259, -0.4495885968208313, -1.0077829360961914, 1.2390507459640503, -0.7639209032058716, -0.4761269986629486, -0.6977806687355042, -0.377781480550766, 0.32684171199798584, -0.3869935870170593, -0.44132405519485474, 1.6149483919143677, 0.7022718191146851, -0.2142542600631714, 0.6915659308433533, -0.6136389374732971, -0.16491208970546722, -0.674316942691803, -0.2850755453109741, -0.6711316704750061, -1.117846965789795, 0.05800517648458481, -0.425237238407135, 0.7127360701560974, 0.010307174175977707, 0.15057732164859772, 0.3526306450366974, -1.401526927947998, 0.27527880668640137, -0.26616233587265015, 1.3468832969665527, 0.7591039538383484, 0.7811895608901978, -0.7381030917167664, 0.7286641597747803, -0.31716322898864746, -0.6969059109687805, -0.595341145992279, -0.25051093101501465, 0.8813362717628479, -0.43026962876319885, -1.3093892335891724, 0.36651480197906494, 0.3577585220336914, 0.2341829389333725, -0.23506739735603333, 0.017678003758192062, -0.4122731685638428, 0.18065591156482697, 0.572323739528656, -1.3295180797576904, 1.6684664487838745, -0.1689903289079666, -0.08539686352014542, 0.11128666996955872, 0.11625690013170242, -0.32537251710891724, -0.7799718379974365, 0.49804821610450745, 0.6592397093772888, -0.6882840991020203, -0.5286838412284851, -1.092272162437439, -0.0065550170838832855, 1.558001160621643, 0.2698485851287842, 0.08146823197603226, -0.44448330998420715, 0.3446781635284424, 0.4410465359687805, 0.6709587574005127, 1.254783272743225, -0.6022256016731262, 0.7834969162940979, -0.17378994822502136, -0.23301704227924347, -1.3431212902069092, 0.9966577291488647, -0.6205916404724121, 0.7387388944625854, -1.7718095779418945, -1.1041672229766846, 0.5759353637695312, -0.37970253825187683, -0.43264392018318176, 0.28400418162345886, 0.5869094729423523, -0.04223981499671936, -0.7347490191459656, 0.49418312311172485, 0.4073899984359741, -1.4090611934661865, 0.37162262201309204, -0.6375939846038818, 0.3541492521762848, 1.170315146446228, 0.14555349946022034, 0.2458590269088745, 0.15090186893939972, -0.822717547416687, -0.5191139578819275, 0.7051855325698853, 0.012620322406291962, -0.06448027491569519, -1.5027363300323486, -0.3708105981349945, -0.49019306898117065, 0.1449926495552063, 0.9036806225776672, -0.3826763331890106, -0.15922899544239044, 0.023886144161224365, -0.38201966881752014, 0.8327826857566833, 0.9095867276191711, -0.3316696584224701, -1.2751061916351318, 0.9632464647293091, 0.7370027899742126, -0.2985174059867859, -1.298097014427185, 0.5382040143013, -0.35288548469543457, 0.9217698574066162, 0.3774045705795288, -0.7357553839683533, 0.09656713157892227, 0.5700851082801819, -0.4358772933483124, -1.1055325269699097, 0.40228480100631714, 1.0286226272583008, -0.3663654029369354, 1.994860053062439, 0.26758918166160583, 0.3467649221420288, 0.007997407577931881, -0.34728842973709106, 0.20470795035362244, 0.4817504584789276, -0.4553944766521454, -0.1901792734861374, -0.43326428532600403, -0.246515154838562, 0.35210973024368286, -1.0210224390029907, 0.411930650472641, -0.49043580889701843, 0.15483984351158142, 0.18105047941207886, -0.1317158341407776, 0.6169611811637878, 0.05285637825727463, -1.159484624862671, -0.23689399659633636, -1.2876031398773193, 0.04753052070736885, 0.4419350326061249, 0.21881233155727386, 0.6333879828453064, -0.13265514373779297, -0.9873870611190796, -0.44613397121429443, -1.1756279468536377, 1.380157709121704, 0.4408986270427704, 0.6047019958496094, -0.13962353765964508, -0.6981813311576843, -0.07168927788734436, 0.1809116154909134, -1.014462947845459, -0.04146530479192734, -0.624475359916687, 1.2328604459762573, 0.17182619869709015, -1.1695865392684937, 0.20728743076324463, 1.0196019411087036, 0.6236882209777832, 0.35962751507759094, -0.6205297112464905, -0.29282331466674805, -1.3952796459197998, 0.45111849904060364, -0.9528385996818542, 1.0460783243179321, -0.16399303078651428, -1.1706470251083374, -0.5431504845619202, 0.3734074532985687, -0.10225743055343628, -0.8901709914207458, -1.4618237018585205, 0.4083314836025238, -0.2463557869195938, -0.35087504982948303, -0.8626238107681274, 0.23742440342903137, 2.1666617393493652, -0.47162845730781555, 0.5577477216720581, 0.0927688255906105, -1.224922776222229, -1.0345360040664673, 1.1068438291549683, -0.02463124319911003, 0.35414981842041016, -0.8849571943283081, -1.2975029945373535, 0.023639969527721405, 1.4194976091384888, 0.2953296899795532, -0.5873429775238037, -0.3184144198894501, 0.33657124638557434, 0.6269458532333374, 2.194852113723755, -0.7151634097099304, -0.34379979968070984, -0.31063976883888245, -0.9733076691627502, -1.0041117668151855, 0.14616967737674713, 0.17290624976158142, 0.21171461045742035, 0.044091347604990005, -0.9504280090332031, -1.5028175115585327, 0.2182576209306717, 0.0070678167976439, 0.5547033548355103, -1.409785509109497, 1.1998093128204346, 0.2156960666179657, -0.2801453173160553, 0.24532762169837952, 0.534343957901001, 0.1076451987028122, -0.8104761242866516, -1.1816716194152832, -0.7957284450531006, 0.0335555225610733, -0.11361352354288101, 0.3985397219657898, -0.15585066378116608, -0.1417986899614334, -0.6111805438995361, -0.6160063147544861, -0.3144897222518921, -0.051143474876880646, -0.7312136292457581, 0.801230251789093, 0.5777159333229065, -0.35862627625465393, -1.0131206512451172, -1.0720911026000977, 0.4490668475627899, -0.33278536796569824, 0.059189897030591965, 0.1383313238620758, -0.5693036913871765, -0.24931225180625916, -0.9608174562454224, 0.05280103161931038, -0.5559729337692261, 0.6814126372337341, -0.36276158690452576, -0.8355275988578796, -0.5746625065803528, 0.4073079228401184, 0.4223361909389496, 0.7470848560333252, -0.04553252458572388, -0.4585316479206085, 0.27427536249160767, 1.414687156677246, -0.804479718208313, -0.6377807259559631, 0.08157054334878922, 0.18426513671875, 0.3694329857826233, 0.3431130349636078, 0.016243016347289085, -0.7851664423942566, 1.5207767486572266, -0.7550550103187561, -0.8416817784309387, 0.7115297913551331, -0.020741691812872887, -0.6799452900886536, 0.8947441577911377, -0.19434835016727448, 1.2658923864364624, 0.8447057008743286, 0.3023114800453186, -0.7387506365776062, -0.6452515721321106, 0.669700026512146, -1.447351098060608, -0.12528015673160553, 1.9673030376434326, -1.9120986461639404, 1.6826413869857788, 1.795538067817688, 0.7188742756843567, -1.4907444715499878, -0.02345798723399639, 0.615634024143219, -1.0038492679595947, -0.7404133677482605, -0.5855053663253784, -0.9074479341506958, -1.9926413297653198, 0.31149056553840637, 1.2943381071090698, -1.4530699253082275, -0.6009461879730225, -0.7915672063827515, 0.2539748251438141, -0.004975153133273125, 0.4957312047481537, 0.2511618733406067, 0.5492073893547058, 0.16489844024181366, -0.7020633816719055, 0.2861063480377197, 1.0080665349960327, 0.18727482855319977, -0.29321324825286865, 0.4430011212825775, -0.3500797152519226, 0.918225884437561, 0.3425554931163788, 0.921601414680481, -0.555682361125946, 1.0706251859664917, 1.0359115600585938, -0.2838444113731384, 0.5907468199729919, -2.749661922454834, -0.5289190411567688, -1.0539058446884155, -0.6834312081336975, 0.3761086165904999, 0.4116373360157013, -0.9851225018501282, -1.0028016567230225, -0.29989027976989746, -0.05422210320830345, 0.5845072865486145, -0.0813092291355133, -0.4595419764518738, -0.04575779661536217, 0.24534516036510468, -0.763262927532196, -0.4720698297023773, -0.9387195706367493, -0.09899605065584183, 0.226337730884552, -0.5474386215209961, 0.7168177366256714, 0.7283702492713928, -0.8205388188362122, -0.9369646906852722, -0.1431565284729004, -0.49624839425086975, -0.11163709312677383, -0.8737089037895203, 0.0879521444439888, 0.15468059480190277, 1.857121229171753, -0.44743990898132324, -1.1540615558624268, 0.1179119423031807, -0.1160106360912323, 0.2959047257900238, 1.0715384483337402, 0.5107131600379944, -6.27235746383667, -0.6801791787147522, 0.49469977617263794, 0.025671597570180893, 0.08908801525831223, -0.7552925944328308, -0.9254515171051025, 0.47091808915138245, -0.03085944801568985, -1.3495054244995117, 1.0234856605529785, 0.2823528051376343, 0.21904464066028595, -0.9755446910858154, 0.07389047741889954, 0.05551338195800781, 0.1767076700925827, -0.9634894132614136, -0.44787824153900146, -0.7751896381378174, -0.11568429321050644, -0.0297999307513237, 0.3188602030277252, -0.05968835949897766, -0.09381669759750366, -0.6142911314964294, 0.14110061526298523, -0.020692791789770126, -1.9226882457733154, -0.08373226225376129, 1.2588502168655396, 0.6292436122894287, 0.46348559856414795, -0.7557677626609802, 0.5493113398551941, 0.12982873618602753, -0.46640026569366455, 1.9614049196243286, 0.060471389442682266, -0.5806658864021301, -0.4058897793292999, 0.6605566143989563, -1.3257397413253784, -1.044114351272583, -0.610675036907196, 0.6965059041976929, 0.5291535258293152, 0.5271636843681335, 1.245832920074463, -0.27285122871398926, 0.03440174460411072, -0.7910341620445251, 0.23238687217235565, 1.1515556573867798, 0.5670632719993591, -0.6798778772354126, -1.5396920442581177, 0.279736191034317, -0.6044031381607056, 0.14959047734737396, 0.7775935530662537, 0.692719042301178, -1.034165620803833, -1.063730001449585, -0.41804224252700806, 0.050578974187374115, -0.37853655219078064, -0.5238435864448547, -0.8368175625801086, -0.8990517854690552, -0.9100044369697571, -0.16369576752185822, 0.695451557636261, -0.6171275973320007, -1.0395280122756958, -0.6865396499633789, -0.36690452694892883, 1.2263671159744263, -0.10980203002691269, -0.3628634810447693, 1.0286966562271118, 1.2829973697662354, -0.40213918685913086, 0.16758760809898376, -1.1890673637390137, 0.7828088998794556, 0.21488866209983826, 0.6385733485221863, 0.2059810757637024, -0.9502955675125122, 0.4329439699649811, -0.43497079610824585, -1.2137783765792847, -0.18909063935279846, -0.7741833925247192, -0.6293871402740479, -0.2648073136806488, -0.33022889494895935, -0.23065750300884247, -0.5274938941001892, 1.0813918113708496, -0.14803700149059296, 0.5959975123405457, -0.7943277359008789, -0.5646345615386963, -1.1444096565246582, 0.9058433771133423, -0.7450613379478455, -0.7384960055351257, -0.25323227047920227, 1.4037117958068848, 0.3559328615665436, -0.005966488271951675, -0.4298016428947449, 0.6495603919029236, -0.015783438459038734, -0.13230985403060913, -0.19825677573680878, -0.8447739481925964, -0.19536767899990082, 0.5715655088424683, 1.165575623512268, -0.3818877935409546, 0.6066486239433289, 1.3136041164398193, -0.35933569073677063, -1.0215377807617188, -0.6043537855148315, -0.23838835954666138, 0.2172347456216812, -0.912428081035614, -0.2583516836166382, 0.5322800278663635, 0.5221866369247437, -0.19212473928928375, 0.8166841268539429, 0.14791694283485413, 0.41113317012786865, -0.47463831305503845, -0.3948543965816498, -0.13471931219100952, -0.6658780574798584, -0.2211843878030777, -0.5887171030044556, 0.10017392784357071, 0.24813608825206757, 0.17595811188220978, -0.0646028220653534, -0.5985764265060425, 0.046675994992256165, 1.2560999393463135, 0.9442996978759766, -0.4816696047782898, 1.5045185089111328, 0.03200630843639374, -0.1601375937461853, -0.5353577136993408, -1.0330864191055298, -0.42578503489494324, 0.5270529985427856, 0.5180412530899048, -0.04033912345767021, -1.3192360401153564, -0.9348927736282349, -0.5445374846458435, 0.7596185207366943, -0.056517645716667175, 1.037164568901062, -0.4184965193271637, 0.6776307225227356, 0.02833610028028488, 0.016143005341291428, 0.10633955895900726, 0.08536338806152344, -1.8324217796325684, -0.44678521156311035, 0.2431342452764511, 0.635437548160553, -0.5911291837692261, 0.3005361258983612, 0.02572041004896164, -0.40522855520248413, 0.22991707921028137, 0.5102958083152771, -1.1810598373413086, -0.2516252100467682, -0.48930928111076355, -0.7882845401763916, 0.5129587054252625, -0.5456970930099487, 0.10772980004549026, 0.6294209361076355, -1.7142146825790405, -0.9953528046607971, -0.478733092546463, -0.24817903339862823, 0.6255940794944763, 0.3090881407260895, 0.763848602771759, -0.5133149027824402, 0.21663521230220795, 0.6457018852233887, 0.4132010042667389, 1.132230281829834, 0.37461787462234497, -0.14534053206443787, 0.4772786498069763, 0.702055037021637, -0.9111166000366211, -0.8932199478149414, 0.9676645994186401, -0.34547340869903564 ]
1,054
0704.1056
Seong Chan Park
Seong Chan Park
Black Hole's Life at colliders
9 pages, 8 figures, Proceedings for 'From Strings to LHC', Jan 2-10, Goa, India
PoSstringsLHC:026,2006
null
null
hep-ph
null
In the series of papers by Ida, Oda and Park, the complete description of Hawking radiation to the brane localized Standard Model fields from mini black holes in the low energy gravity scenarios are obtained. Here we briefly review what we have learned in those papers.
[ { "created": "Mon, 9 Apr 2007 02:46:01 GMT", "version": "v1" } ]
2009-04-16
[ [ "Park", "Seong Chan", "" ] ]
07
[ 0.0037915061693638563, -1.0344231128692627, 1.362623691558838, -0.35309264063835144, -0.404796838760376, 0.8921347856521606, -0.6083855628967285, 0.7758946418762207, 0.8428558707237244, -0.5983091592788696, -0.8893554210662842, 0.05346938967704773, 0.5241154432296753, 1.2617844343185425, -0.8720012307167053, 0.2620484530925751, -0.9213520288467407, -1.1102895736694336, -0.6966060400009155, 0.6846104264259338, 0.06779146194458008, -0.7113745212554932, -0.5920055508613586, -0.5509607195854187, 0.0021307894494384527, -0.3525579571723938, 0.9030023217201233, 0.30274078249931335, -0.17641614377498627, -0.25099804997444153, -1.2450250387191772, 0.5371714234352112, -0.3825244903564453, 0.4725685119628906, 0.27719202637672424, -0.034237008541822433, -0.07828310132026672, -1.2278075218200684, -1.2417415380477905, 0.39441800117492676, -1.0136805772781372, 1.502185344696045, 0.1349245011806488, 1.5645848512649536, -0.8009511828422546, -0.3837297856807709, 0.4825723469257355, -0.8288792371749878, 0.3071599006652832, 1.474831461906433, -0.29043081402778625, 0.33865439891815186, -1.1168957948684692, 0.39077281951904297, -0.741157054901123, -0.18751178681850433, 0.5153629183769226, 0.09145905822515488, 0.5357063412666321, -0.2843185365200043, -0.711027204990387, 1.0662871599197388, 0.3893733024597168, 0.7465708255767822, -1.1975349187850952, 0.13995426893234253, 0.8258302807807922, -0.4074772596359253, 1.4159462451934814, 0.36513379216194153, -1.2198119163513184, 0.8069887757301331, 1.1241213083267212, 0.005102507770061493, 0.01267261989414692, -0.8883821368217468, -0.4343331456184387, -0.08075813204050064, -0.20959031581878662, -0.13552652299404144, -0.6776700615882874, 1.744197130203247, -1.0521165132522583, -1.4654781818389893, -0.591181755065918, 0.4507942199707031, -0.8257787227630615, -0.36435845494270325, -0.5532127618789673, 0.6523084044456482, 0.037466712296009064, 0.6913421750068665, -0.3484932482242584, -0.58111572265625, 0.47856441140174866, -1.5399903059005737, -1.8994827270507812, 0.6403470635414124, -0.2968604862689972, 0.8432411551475525, 0.27240997552871704, 0.36135414242744446, 0.6509620547294617, 0.20860332250595093, 0.0029187174513936043, 0.21085678040981293, -0.6864519119262695, -0.03371664509177208, -0.5717356204986572, -0.28971052169799805, 0.9682571887969971, -0.31105315685272217, -0.4010539650917053, -0.2044151872396469, -1.4370371103286743, 0.7331646084785461, 0.17646323144435883, 0.37888646125793457, -1.5263700485229492, 0.48774275183677673, -0.17787043750286102, 0.6107208728790283, -0.43114808201789856, -0.36887213587760925, 0.9657848477363586, -0.8355887532234192, 1.0322215557098389, -0.3476269841194153, 0.8763015270233154, 0.0022087013348937035, -0.4667867124080658, -0.468711793422699, 0.6114225387573242, -1.4571086168289185, -0.591602623462677, 0.7436972260475159, -0.32389599084854126, -0.9896621108055115, -0.18040822446346283, 0.26463642716407776, -1.0791292190551758, 0.5947917699813843, -0.12109270691871643, 1.1266783475875854, -0.38763007521629333, 0.8351609110832214, 0.8909952640533447, 0.2942154109477997, 0.07003894448280334, 0.7053772807121277, -0.35147371888160706, -1.1580651998519897, -0.4737066924571991, -0.22425642609596252, -0.34722620248794556, 0.21888019144535065, -0.7107430100440979, 0.7649194002151489, 1.018765926361084, -0.3014765679836273, 0.2789890766143799, 1.0749285221099854, -0.5368580222129822, -0.6771727800369263, 0.5733273029327393, -0.8010209202766418, 0.5038674473762512, 0.07007035613059998, -0.9102430939674377, -0.8767379522323608, 1.284603238105774, -0.3800656497478485, 0.3438067138195038, 0.3973883390426636, -0.4041740596294403, -0.6195439696311951, 0.9472457766532898, -0.6566992998123169, -0.9967929720878601, 0.2647216022014618, 1.4763593673706055, 0.22895023226737976, -0.030497660860419273, -0.15846742689609528, 0.5531051754951477, -1.2336634397506714, 0.5048424601554871, -0.10556283593177795, 0.0776371881365776, 0.2576206624507904, -0.7601590752601624, -0.0008348189294338226, 0.9582410454750061, -0.003903687931597233, 0.43278199434280396, 0.23234441876411438, -0.4090407192707062, -0.8751278519630432, 0.5862897634506226, 0.0455264151096344, -0.3523033857345581, 1.2785030603408813, -0.030969679355621338, -0.416178435087204, -1.0258158445358276, 0.7169450521469116, -0.008767455816268921, -0.33751967549324036, 0.3856050968170166, -0.2265138477087021, 0.8034051656723022, 0.9485979080200195, 0.18100056052207947, -1.216429591178894, 0.608920156955719, 0.0844024047255516, 1.3298044204711914, -0.7643724679946899, -0.2642246186733246, -0.06651292741298676, -0.4697103500366211, 0.01648109406232834, 1.2831122875213623, -0.2911282777786255, -0.008719691075384617, -0.22219669818878174, 0.9308242201805115, 0.6284747123718262, 0.012504203245043755, 0.18393005430698395, -1.3792693614959717, -1.428524136543274, 0.7310605049133301, -1.0952354669570923, -0.6811076402664185, -0.7806819081306458, -0.20156802237033844, 0.6456610560417175, -0.5753273963928223, 0.21525081992149353, -0.11902440339326859, -1.0388129949569702, 0.6493313312530518, -0.9748427867889404, -0.04140195995569229, 0.315896600484848, -0.2653683125972748, -0.4899323284626007, 0.46771949529647827, 0.021368177607655525, 0.4225867986679077, -0.7645170092582703, 0.15790486335754395, -1.6216171979904175, 0.4540359377861023, -1.162384033203125, 0.7018221020698547, 0.2757129967212677, -0.1087823361158371, -0.011168367229402065, -0.7438476085662842, -0.8428825736045837, -0.1384202241897583, -0.8813391923904419, -0.4483622610569, 0.12494178116321564, -0.5058539509773254, 0.29467934370040894, 0.9125651121139526, -0.540528416633606, -1.381965160369873, -0.05810568481683731, 0.3898443579673767, -0.9505444169044495, 0.19625341892242432, -0.772402286529541, -0.3256283700466156, -0.8291562795639038, -0.5480867028236389, 0.06607108563184738, 0.3967965543270111, 0.08658280968666077, 0.8387187123298645, 0.13628679513931274, 0.7474247813224792, -0.22711698710918427, 0.731314480304718, -0.6339254379272461, -0.2752312421798706, -0.6703544855117798, 0.3271082937717438, -0.6166590452194214, -0.669059157371521, -0.8445065021514893, -0.14445607364177704, 0.008539008907973766, -0.590183436870575, 0.11611530184745789, 1.6336113214492798, 0.16725757718086243, -0.5343261957168579, -0.6298338174819946, -0.525955080986023, -0.39004752039909363, 0.6027891635894775, -0.0435432568192482, 0.30023810267448425, 0.5008624196052551, -0.5998744964599609, -0.6345111727714539, 0.19816340506076813, -0.08753523975610733, 0.4750814735889435, 0.11399424821138382, 0.8939824104309082, -0.7241588830947876, -0.8150573968887329, 0.7567506432533264, 0.2215203046798706, -0.4808299243450165, 1.025875210762024, -0.3156249523162842, 0.14189597964286804, 0.8675788044929504, -1.9734774827957153, -1.2900962829589844, 0.5478692054748535, 0.7340800166130066, -1.2145363092422485, -0.7137607932090759, -0.9196690320968628, 0.2870737910270691, 0.8821379542350769, 1.114687442779541, -0.6816360354423523, 0.03987245634198189, -1.1465554237365723, -0.28673937916755676, 1.5405129194259644, 1.9091167449951172, 0.18217378854751587, 0.17523986101150513, 0.18081992864608765, 1.0706329345703125, 0.49050813913345337, -0.46610358357429504, 0.7084885835647583, -0.34038323163986206, -0.1997043341398239, 0.5837198495864868, -1.8187530040740967, 0.9995834827423096, 0.649980902671814, 0.17646059393882751, 1.3821982145309448, -0.22752872109413147, 0.42216017842292786, 1.453731894493103, -0.05329025536775589, -1.065908670425415, 0.12264015525579453, 0.20157210528850555, 1.087809443473816, -0.2323256880044937, 0.3473527133464813, -0.49763262271881104, -0.21692758798599243, 0.14253932237625122, -0.7257975935935974, 0.95282381772995, -0.28650426864624023, 0.3330111801624298, -0.06652344018220901, 0.06406813114881516, -1.8209308385849, -0.183241605758667, -0.29567626118659973, 0.14805395901203156, 0.9053265452384949, -0.24352698028087616, -1.739960789680481, 0.159785658121109, 0.02310228906571865, 0.28033432364463806, -0.44833090901374817, 0.43593356013298035, -0.044612590223550797, -0.9573307037353516, 0.325001984834671, 0.28909221291542053, -0.44454795122146606, -0.04097578674554825, 0.33948948979377747, -0.5042949318885803, -0.2701700031757355, 0.20387357473373413, -0.06703803688287735, 1.1331727504730225, 0.5502424240112305, 0.14772208034992218, 0.3599701523780823, 0.32947155833244324, -0.28335806727409363, -0.838761031627655, -0.8970003724098206, -1.6716783046722412, 0.36110904812812805, 0.2091103047132492, -0.5896371006965637, -0.3671450614929199, 1.2822479009628296, -0.5771995186805725, 0.41171377897262573, 0.5707811713218689, 1.2324001789093018, 0.00996558740735054, -1.3670613765716553, -1.1511174440383911, -0.9491349458694458, -0.6599042415618896, 0.7694413661956787, -0.11161617189645767, 0.550509512424469, 1.0245267152786255, 0.012340114451944828, 0.16530781984329224, 0.13224904239177704, -0.01304103434085846, -0.5160562992095947, -0.605982780456543, 0.03216734528541565, 0.1304887980222702, -0.3014053702354431, 0.07648584246635437, -1.419339895248413, -0.2543322741985321, -0.33690738677978516, 0.3918263912200928, -0.8192930817604065, -0.18881531059741974, -0.41484105587005615, -0.5927321314811707, 0.3491920232772827, -1.5142041444778442, -0.9753970503807068, 1.1989792585372925, -0.01971418410539627, 0.3732675313949585, 0.3234504759311676, 0.046541664749383926, 1.2102441787719727, 0.18608632683753967, 0.18173176050186157, 0.9106676578521729, -0.3818822205066681, -0.5082692503929138, -0.0719766616821289, 0.9591332674026489, -0.18689601123332977, -0.1928766816854477, -0.422457754611969, 0.5186527967453003, 0.5791833996772766, -1.579591989517212, 0.47714948654174805, -0.952633261680603, -0.32341277599334717, -0.530841052532196, -0.35105523467063904, -0.8857333660125732, -0.7786627411842346, -0.12225477397441864, -1.002004623413086, -0.30948543548583984, -1.3683128356933594, 0.015002069994807243, 1.8468871116638184, -0.01809617504477501, -0.031149394810199738, -0.8036455512046814, 0.5421013236045837, 1.4170397520065308, -0.7443758249282837, -0.2052444964647293, -0.5849395990371704, -1.2165976762771606, -0.6974308490753174, -0.25230273604393005, 0.45587363839149475, -0.1045227125287056, 0.3586563766002655, -0.07887724786996841, 0.15456436574459076, 0.3315408527851105, -0.08628324419260025, 0.6357334852218628, 0.3312237858772278, 0.735613226890564, 0.7288162708282471, -0.17038406431674957, -0.4325292408466339, 0.05558861419558525, 0.26263365149497986, -1.6090426445007324, 0.07006136327981949, -0.0892840102314949, -0.9218986630439758, 1.2484030723571777, -0.39379701018333435, 0.9401594996452332, 0.12981489300727844, -0.13643471896648407, -0.7168766260147095, 0.5250849723815918, -0.18331092596054077, -0.4073597192764282, -0.01582193374633789, -2.840874195098877, 0.6318466067314148, 0.09005813300609589, 0.046113450080156326, -0.252351313829422, 0.1242048442363739, -0.4391748309135437, 0.08667871356010437, 0.4826563000679016, 0.0790892094373703, 0.2590612471103668, -0.9957813620567322, 1.2446303367614746, -0.3110717833042145, -0.038762167096138, 0.511768102645874, -0.029921168461441994, 0.48225298523902893, -0.2192353755235672, 0.9990745186805725, 0.8423820734024048, 0.37228989601135254, -0.713080108165741, 0.4217119812965393, -0.07127977162599564, -0.5601337552070618, 0.03911365568637848, 0.2268243283033371, -0.6225189566612244, -0.09295208007097244, 0.2902568578720093, -1.362883448600769, 0.9495061039924622, -0.7872958779335022, 0.7458102107048035, 0.2985062003135681, -0.004691156093031168, 0.3570552170276642, -0.5660437345504761, -8.311932563781738, 0.16778892278671265, -0.15022070705890656, -0.6334903240203857, 0.507816731929779, -1.0225752592086792, -0.7561154961585999, -1.0303497314453125, 0.6271251440048218, 0.9147787094116211, 1.0902771949768066, 0.36783042550086975, -0.09434712678194046, -0.2578752636909485, 0.4487249255180359, -0.8108965158462524, -1.3194913864135742, 1.0449035167694092, -0.8320635557174683, -0.1469188779592514, -0.5403252840042114, 0.8400284647941589, -0.6759553551673889, -0.26118138432502747, 1.5933603048324585, -0.4498683512210846, 0.26230376958847046, 1.0916672945022583, -0.7290839552879333, 0.19424140453338623, -0.6969581842422485, 0.8540500998497009, -0.5057691931724548, 0.4473380148410797, -0.4890252351760864, 0.45009344816207886, -0.4301687180995941, -0.204046830534935, 0.7896222472190857, -0.6826107501983643, 0.4210060238838196, 1.007336974143982, 0.5266884565353394, 0.9877813458442688, 0.3436528742313385, 1.2659968137741089, -0.09429638832807541, -0.026350393891334534, 0.6301985383033752, 0.11205606907606125, -1.0610666275024414, 0.0056580486707389355, -0.23094071447849274, -0.033599019050598145, -0.00002186868732678704, 0.08913978189229965, 0.9277568459510803, -0.6006025075912476, 0.7487581372261047, 0.3149167597293854, 0.1944572627544403, -1.0746080875396729, -0.12806828320026398, 0.18023723363876343, 0.21039432287216187, -0.8295636177062988, 0.4801647663116455, -0.10650093108415604, -0.7367705702781677, -0.00851462222635746, -1.402509331703186, 0.5649232864379883, -0.6997998952865601, -0.05554326996207237, -0.7414451241493225, 0.04192109405994415, 0.5180982947349548, 2.315417528152466, 0.1610521376132965, 0.1022084429860115, 0.9269083738327026, -0.21228736639022827, -0.21911399066448212, 0.18926788866519928, -0.8182849287986755, -0.8715952038764954, -0.27145713567733765, 0.6274553537368774, 0.8364131450653076, -1.1052875518798828, 0.9314441680908203, 0.26839038729667664, 0.1804511398077011, -1.5506625175476074, 1.3697872161865234, -0.6215915679931641, -0.27452611923217773, 0.43824106454849243, -1.0601946115493774, -0.281743586063385, 0.18787947297096252, 0.6326115131378174, 1.7344884872436523, 0.19949693977832794, 0.5798213481903076, -0.8843103647232056, -0.2815530002117157, -0.3735337555408478, -0.4875074028968811, -1.2506009340286255, -0.6881871819496155, -1.4347320795059204, -0.5067758560180664, 0.2708999812602997, 1.6270501613616943, -1.071561336517334, -0.20325875282287598, 0.4082765281200409, 0.48545441031455994, -1.0799058675765991, -0.6054956912994385, 0.09962377697229385, -0.756310224533081, 0.3468746244907379, -0.564598798751831, -0.6826220154762268, 0.8309823870658875, -0.8278385996818542, -0.04920036718249321, 0.12097424268722534, -1.9908080101013184, -0.8747872114181519, -0.6637312769889832, -0.9933308362960815, 0.38725170493125916, 0.23688071966171265, 0.6145472526550293, -0.46840524673461914, -0.45807206630706787, -0.18991655111312866, 0.4652518033981323, -0.2645455598831177, -0.20363876223564148, 0.36861005425453186, 0.253856360912323, 0.6249019503593445, -0.4687066078186035, 0.046627070754766464, -0.6364169716835022, -0.4903322160243988, 1.3315767049789429, 0.770897388458252, 1.3001208305358887, 1.5338932275772095, -0.45914211869239807, -0.4435594975948334, 0.41560786962509155, -0.221052348613739, 1.0339044332504272, -0.9601104259490967, 0.28301361203193665, 0.14213785529136658, -0.45401573181152344, 1.1865360736846924, 0.6292014718055725, -0.4851660430431366, -0.6916423439979553, 1.106153130531311, -0.3913818895816803, -1.0372875928878784, -0.15055514872074127, 0.25126931071281433, -0.892614483833313, -0.21595771610736847, 0.3767871856689453, 0.6613814830780029, -0.06084097549319267, -1.044013261795044, -0.21031461656093597, 0.1792941689491272, 0.45163366198539734, 0.01711288094520569, 0.2516571283340454, -0.9618399739265442, -0.8165571689605713, 1.2798182964324951, -0.07693992555141449, -0.6616981029510498, -0.8905000686645508, 0.013601662591099739, 0.3219796121120453, 0.2655150294303894, 0.14148163795471191, 1.2312953472137451, 0.21270594000816345, 0.3830096125602722, -0.6131756901741028, 0.14665764570236206, -0.12072981894016266, -0.48839667439460754, -1.3348191976547241, 1.364925742149353, 0.5472517609596252, -0.1462140828371048, 0.8439961075782776, 0.044512730091810226, 0.5612075328826904, 0.09729158133268356, -0.2479633092880249, -1.251908779144287, -0.15974566340446472, 0.5455384254455566 ]
1,055
0704.1057
Diego Dominici
Diego Dominici
Working with 2s and 3s
15 pages
null
null
null
math.DS
null
We establish an equivalent condition to the validity of the Collatz conjecture, using elementary methods. We derive some conclusions and show several examples of our results. We also offer a variety of exercises, problems and conjectures.
[ { "created": "Mon, 9 Apr 2007 02:56:09 GMT", "version": "v1" } ]
2007-05-23
[ [ "Dominici", "Diego", "" ] ]
07
[ 0.07550785690546036, 0.6246727108955383, 0.6435443758964539, 0.6076054573059082, -1.0597145557403564, -0.3966657519340515, -0.39358508586883545, -0.40955349802970886, -1.8310719728469849, -0.10444523394107819, 0.2876656651496887, -0.33112388849258423, 0.5124297738075256, 0.44268807768821716, -0.18576307594776154, -0.5884607434272766, 0.45936644077301025, -0.8915534019470215, -0.7530299425125122, -0.5529162883758545, 0.11653585731983185, 0.29826274514198303, -0.7057098150253296, 0.9221422672271729, -0.5364835858345032, 0.6736772656440735, -0.509360671043396, 0.5908334851264954, 0.1366099715232849, 0.1937733292579651, 1.1448146104812622, 0.10369068384170532, -0.9285433888435364, -0.20780381560325623, 0.05454682558774948, -0.34417828917503357, 0.313324898481369, -0.44043204188346863, -0.5256664752960205, 0.52616947889328, 0.6642966866493225, 0.15813520550727844, -0.6198311448097229, -0.3907756805419922, -0.6351423263549805, -0.44558554887771606, -0.8800495266914368, 0.06751246750354767, 0.37303540110588074, 1.0357497930526733, -0.23265086114406586, 0.20629586279392242, 0.07672079652547836, 0.22494442760944366, 0.9878392219543457, -0.03233928978443146, -0.9154314398765564, -0.3931379020214081, 0.5894922614097595, -0.044538095593452454, -0.8423635959625244, 0.2756865620613098, -0.5424637198448181, -0.14950430393218994, 0.1356188803911209, -0.4822198450565338, -0.40905600786209106, 2.0848278999328613, -0.5145285725593567, 0.6483703851699829, 0.009247998706996441, -0.8934116959571838, -0.435954213142395, -0.31039997935295105, -1.5770803689956665, -0.023381885141134262, 0.8818619847297668, 0.21929961442947388, 0.19754664599895477, 0.24991551041603088, 1.1145052909851074, 0.709606409072876, -0.9694121479988098, -0.5038293600082397, -0.2528863847255707, 0.7252172231674194, -0.4866756796836853, 0.6824008822441101, 0.44947749376296997, 0.8919970393180847, 0.4799194037914276, -0.8338738679885864, 0.4242739677429199, 0.5468431711196899, 0.31241947412490845, -1.502803087234497, 0.16668684780597687, 0.7208921313285828, -0.3312475383281708, 0.8064759373664856, -0.611024796962738, -0.659162700176239, 0.24108494818210602, 0.5891860723495483, -0.9423450827598572, -0.4030992388725281, 0.33901262283325195, -0.18312333524227142, 0.8632838129997253, 0.1588842272758484, 0.2627171576023102, -1.0297431945800781, 0.03544894605875015, 1.4857990741729736, -0.9234159588813782, 1.3613256216049194, -0.9438436627388, -0.4576641023159027, 0.3384210765361786, 0.1524101197719574, 0.4910581111907959, 0.013399357907474041, -0.6363454461097717, -0.8226781487464905, -1.764309048652649, 0.6688716411590576, -0.6719711422920227, 0.048420533537864685, -0.2044302225112915, -1.3064762353897095, -1.4341219663619995, 0.23722192645072937, -0.6797261238098145, 0.13983063399791718, -0.16706272959709167, -0.7755506038665771, 0.22206373512744904, -0.2437712699174881, 0.21399334073066711, 1.4741688966751099, 0.010658797807991505, -0.23072808980941772, -1.6623810529708862, -0.9334332942962646, -0.4682273864746094, -0.527269721031189, -0.15730227530002594, 1.349837303161621, 0.3624943494796753, -0.5171343088150024, -0.622357189655304, 0.36536213755607605, 1.2208876609802246, -0.1270625740289688, 0.14876209199428558, -0.042480114847421646, -0.7611640095710754, 1.727776050567627, -0.5689343810081482, 0.1692674309015274, 0.18496286869049072, 0.16584809124469757, 0.7754546403884888, -0.11344346404075623, -0.5536911487579346, -1.2819572687149048, -0.5774857401847839, -0.26828286051750183, 0.3800097405910492, 0.7679378390312195, -0.7558826804161072, -0.6981120705604553, 0.20824183523654938, 0.7716810703277588, 0.8118648529052734, 1.3697574138641357, 0.4687585234642029, -0.30495938658714294, -0.39547598361968994, 0.22135841846466064, -0.3460376560688019, -0.7992892861366272, -0.034677643328905106, -0.2859417796134949, 0.5339028239250183, -0.2868627607822418, 0.800855278968811, 0.32861456274986267, 0.7183615565299988, 0.2993452847003937, -1.67697274684906, 0.020337983965873718, 0.593955934047699, -0.705200731754303, -0.04246805980801582, 0.6146455407142639, -0.5329640507698059, -0.717664361000061, 0.007479084189981222, -0.8406177163124084, 0.24134168028831482, -0.029328737407922745, -0.7399084568023682, 0.6920075416564941, -1.8803898096084595, 0.2200963795185089, 0.23418264091014862, 0.1481577306985855, 0.26947030425071716, -0.2987753450870514, 1.2737778425216675, -0.04839509725570679, 0.26612621545791626, -1.14519464969635, 1.0211365222930908, -0.7381733059883118, -0.9702197313308716, -1.1963449716567993, -0.5695950984954834, 1.2850512266159058, 0.7242061495780945, 1.051157832145691, 0.47106948494911194, -0.3552553355693817, -0.45183154940605164, 0.3305202126502991, 0.6484288573265076, 0.18448899686336517, -0.21949468553066254, -0.8770840167999268, -0.5360028743743896, -0.07062559574842453, -0.15586067736148834, -1.3004652261734009, -0.18581463396549225, 0.8746581077575684, -0.5773394107818604, -0.4447810649871826, 0.07372729480266571, 0.21225818991661072, -1.193320631980896, 0.4049850106239319, -0.7679236531257629, -0.9755613803863525, 0.003952884580940008, 0.6640189290046692, -0.16028103232383728, -0.6645880937576294, -0.7305223345756531, 0.5690432786941528, 0.32916975021362305, 0.09398132562637329, -0.09285706281661987, 1.5280232429504395, -0.9067390561103821, 0.7847318649291992, -0.2195446640253067, -0.9997234344482422, -1.5884945392608643, -0.16323716938495636, -0.3903599977493286, 0.0894431322813034, -0.16605982184410095, 0.3645339906215668, -0.11022602766752243, -1.2583569288253784, 0.6458864808082581, -0.3104202449321747, -0.91285640001297, -0.6895254850387573, -0.28570395708084106, -0.8547443151473999, 0.49452945590019226, 0.3047897219657898, -0.880603015422821, -0.2836523950099945, -0.12597808241844177, -0.34477218985557556, -0.34628060460090637, -2.0235209465026855, -0.7658294439315796, 0.363713800907135, -1.1265840530395508, 1.5749948024749756, 0.6955753564834595, -1.455986738204956, -0.6960582137107849, -0.3255065083503723, 0.4764140248298645, -0.11723925173282623, 0.1909562647342682, -0.6082081198692322, 0.4934667944908142, 0.7946689128875732, -0.7229366302490234, -0.3679444193840027, -0.4959077537059784, -0.10281646996736526, 0.6612311601638794, -0.7413022518157959, -0.40642282366752625, 0.2464425414800644, 0.05909883975982666, 0.7795830965042114, 0.3261687159538269, -0.9328307509422302, 0.3946938216686249, -0.226442351937294, 0.13115853071212769, 0.3363156318664551, -0.45020192861557007, -0.021075978875160217, 0.4112316966056824, -1.9991250038146973, 0.6419731378555298, -0.10382698476314545, 1.1095749139785767, -0.6402896046638489, 1.0001224279403687, -0.7258390784263611, -1.3279963731765747, 0.25764214992523193, 2.032970428466797, 0.7727839946746826, 0.9217142462730408, 0.12618356943130493, -0.6430153846740723, 0.39381247758865356, 0.17278900742530823, -0.04520396515727043, 0.3162612318992615, -0.21685494482517242, -0.004732637200504541, -0.7211980819702148, -1.6690254211425781, -0.393857479095459, -0.5131693482398987, -0.05701391398906708, 0.07714884728193283, -1.711930513381958, 0.217390775680542, -0.8615580797195435, -0.6206456422805786, 0.019995354115962982, 1.1093764305114746, 0.7982438206672668, -0.5115354657173157, -0.4909522533416748, 0.21945257484912872, 1.2859517335891724, 0.3354509770870209, -0.68973308801651, -1.3483880758285522, -0.5355113744735718, 0.8724081516265869, -0.9020406007766724, 0.5138942003250122, 0.35545262694358826, 0.229977086186409, 0.1849149465560913, -0.25269097089767456, 0.832936704158783, 1.0491193532943726, 0.19335800409317017, 0.2961598336696625, 0.3902027904987335, -0.6140429377555847, -0.7290095090866089, -0.7751207947731018, -0.2955228388309479, -0.8641502261161804, -0.971980631351471, 0.008445567451417446, 0.2868202030658722, -0.06939711421728134, -0.1343626081943512, -0.6648247241973877, -0.26339104771614075, -0.9217908978462219, 0.9463317394256592, 0.7255542874336243, 0.5929765105247498, -0.06394451856613159, -0.8181589841842651, 0.3725054860115051, 1.3442095518112183, 0.08039091527462006, 0.0757533609867096, -0.8719190359115601, -0.05022623762488365, -0.11295901983976364, 0.24836325645446777, -0.2865023910999298, 0.08356153219938278, 1.1298620700836182, 0.41105449199676514, 0.22729945182800293, -0.038979899138212204, 0.3972092866897583, -0.05503302440047264, 0.9055132865905762, -0.009459631517529488, -0.0464913584291935, -1.4455775022506714, 0.21797418594360352, 0.9149497747421265, -0.032563917338848114, 0.9678227305412292, -0.29198983311653137, -0.13739827275276184, 0.0958838239312172, -0.7439448237419128, -0.4602237641811371, 0.8258037567138672, -0.6539718508720398, 0.09948146343231201, -0.34038642048835754, -0.6706379652023315, 0.9835810661315918, -1.478076457977295, 0.18275408446788788, -0.16791310906410217, 0.25908103585243225, 1.4095964431762695, -0.16547007858753204, -1.229816198348999, 0.15159371495246887, -0.01551103312522173, -1.0022081136703491, 0.7993804812431335, -1.048507571220398, -1.0468933582305908, 0.5603593587875366, -0.5482065081596375, -1.16769278049469, -0.2339409440755844, -0.15199683606624603, 0.047514159232378006, -0.880055844783783, -0.44041234254837036, -0.21883940696716309, 0.519452691078186, -0.9016942977905273, 0.41352590918540955, -0.1142500787973404, -0.5935322046279907, -0.9509714841842651, 1.5830769538879395, 0.2621340751647949, -0.06858538836240768, 0.8769253492355347, 0.3615005910396576, -0.1372787207365036, 0.2950060963630676, -0.3981083333492279, -0.7135661244392395, 0.8965703845024109, 0.011683271266520023, -0.42566347122192383, 0.20481452345848083, 0.09685788303613663, 0.5356979966163635, 0.48852434754371643, -0.6165028214454651, 1.013899564743042, 0.10354641079902649, -0.5186982750892639, -0.14490775763988495, 0.9637713432312012, 0.15578599274158478, -0.6635662317276001, 0.24329040944576263, 1.2447915077209473, -1.423261284828186, -1.2254667282104492, 0.47840744256973267, -0.2895520329475403, -0.16242237389087677, -0.05073954164981842, -0.37078461050987244, 0.8554772734642029, 0.3203316628932953, -0.7889901399612427, 1.8526434898376465, -0.14754527807235718, -0.06201403960585594, 1.3558006286621094, -0.2899792492389679, -0.625942587852478, 0.5658425092697144, 0.5814911127090454, 0.8094779849052429, 0.7122316956520081, 0.37274256348609924, -1.8775842189788818, 0.42899104952812195, -0.8639315962791443, -0.01725233718752861, -0.282243937253952, 0.40851157903671265, 0.5608429312705994, 0.9956449270248413, -0.6780259013175964, -0.7185945510864258, -1.4974572658538818, -0.3906913101673126, -0.4766022264957428, 0.4166750907897949, 0.8798816204071045, 1.024192214012146, -0.6462621092796326, -0.0650189071893692, 0.9729182124137878, 0.3971335291862488, -0.11231667548418045, 0.041016604751348495, -0.9127865433692932, -2.458808183670044, 0.1113118976354599, 0.019988959655165672, 0.828782320022583, -1.438946008682251, 0.007422927767038345, -0.6560178995132446, 0.0037899871822446585, 0.2708301246166229, -0.648380696773529, 0.1324440836906433, -1.4788787364959717, 1.0850650072097778, 0.36685463786125183, 0.0935155376791954, 0.3764621615409851, -0.3159646689891815, 0.3145162761211395, 0.1972522884607315, -0.7266488075256348, 0.5233027338981628, 0.4933794438838959, -0.6792753338813782, 0.5978906154632568, 0.1960563212633133, 0.041658420115709305, 0.41829732060432434, 0.44860753417015076, 0.10141895711421967, 0.35056400299072266, -0.13742202520370483, -0.47221624851226807, -0.37448850274086, -0.3021596074104309, -0.3174295127391815, 0.31249624490737915, 1.1730936765670776, -0.6144304871559143, 0.8626530766487122, -9.409066200256348, -0.5781471133232117, -0.18158933520317078, 0.10160952061414719, 0.5736544132232666, 0.6199951171875, -0.21112902462482452, -0.6002958416938782, 0.11231952905654907, -0.9796228408813477, 0.3097144067287445, 0.34332507848739624, -0.28779396414756775, -0.6714448928833008, 0.4533303380012512, 0.1559223234653473, -0.07382144778966904, -0.26831841468811035, -0.7084268927574158, 0.766781210899353, -0.34619197249412537, 1.6013381481170654, 0.6229363679885864, 0.5600842237472534, 0.9659585356712341, -1.0328137874603271, 0.16242913901805878, -0.9434066414833069, 2.185213565826416, 0.22815020382404327, -0.5111302733421326, -0.3431829512119293, -0.9510859847068787, -1.1362512111663818, -0.2902071475982666, -0.6811966300010681, 0.3389205038547516, -0.3617243468761444, -0.03986179456114769, 0.08898983150720596, 0.4359630346298218, -0.531981885433197, 0.05519964173436165, -0.6809975504875183, -0.18589186668395996, -0.5648989081382751, -0.2990342974662781, 0.8362115621566772, 1.072481393814087, 0.7890444993972778, -0.3279081881046295, -0.13134196400642395, -0.32202374935150146, 0.13350078463554382, 0.8743041753768921, -0.05956057831645012, -0.2415573000907898, -1.111191987991333, -1.0020772218704224, -0.8204817771911621, -0.9467954635620117, -0.44462165236473083, -0.2583146393299103, 1.3227227926254272, -0.6614234447479248, 0.39857718348503113, 0.910854160785675, -0.2019110471010208, -0.013886580243706703, -0.28977322578430176, -0.11797218769788742, -0.1123923659324646, 1.7820401191711426, -0.4593890607357025, -1.3175829648971558, 0.4021027982234955, -0.2680768370628357, 0.401081919670105, -1.0023022890090942, -0.5465381145477295, 0.1656447947025299, -0.6984442472457886, 0.03354020416736603, 0.11107228696346283, 0.5460568070411682, 0.5005473494529724, 0.29446426033973694, 0.6363988518714905, 0.3604441285133362, -0.42035382986068726, -0.6051768064498901, 0.21920783817768097, -0.23239611089229584, 0.4979075491428375, -0.45584943890571594, -0.03181566298007965, -0.25842413306236267, -0.9121915102005005, -0.9338968396186829, 0.7448225617408752, -0.6069276928901672, 0.5500186681747437, 0.9079452157020569, 0.3694876730442047, 1.2119241952896118, 1.2174612283706665, -1.1510752439498901, 0.2911982238292694, 0.27716246247291565, -0.14391155540943146, -0.6137018799781799, -0.11836826801300049, -0.5708248019218445, -0.3668946921825409, 1.098707675933838, 1.3673202991485596, 0.5661948323249817, 0.39436599612236023, -0.34221354126930237, 0.1814882606267929, -0.4537290036678314, -0.05079759657382965, 0.9441980123519897, -0.5154194831848145, -1.078501582145691, -0.7432146668434143, 0.47091761231422424, -1.1520143747329712, -0.360108345746994, 0.0020269458182156086, 0.3513762056827545, -0.7399759292602539, -0.7423450350761414, -0.49130749702453613, -0.49898889660835266, -0.2861078977584839, -0.5129916071891785, 0.7945996522903442, 0.6355279088020325, 0.49823877215385437, -0.08638790249824524, 0.683784544467926, -0.7528693675994873, 1.4490957260131836, -0.037958186119794846, -0.2727091908454895, -0.8271932601928711, -0.4696861207485199, -0.8225626349449158, 0.5529813170433044, 1.1816197633743286, 0.2510024905204773, 0.8260822296142578, 0.11076096445322037, -0.7037302255630493, -0.6693116426467896, 0.3950582444667816, -0.8775702714920044, 0.046282943338155746, 0.6102294921875, -0.7150786519050598, -0.5451821684837341, 1.257831335067749, 2.0707077980041504, 0.10372115671634674, -0.7402530908584595, 0.1704905480146408, 0.552811324596405, -0.8810694813728333, -0.22913587093353271, -0.08291855454444885, 0.32061582803726196, 0.7536104917526245, -0.3250589668750763, 0.1828506588935852, 0.06517321616411209, 0.27560946345329285, -0.079769067466259, -0.6789975166320801, -0.9517772197723389, 0.4855366349220276, 0.4578491151332855, 0.5058797001838684, 0.6909090876579285, 0.4990646243095398, 0.8374466896057129, -0.30827853083610535, 1.0663914680480957, 0.8657589554786682, 1.015798807144165, 0.5578662157058716, 0.384904146194458, -0.2353990375995636, -0.5337221622467041, 0.033120691776275635, -0.24356713891029358, -0.07984622567892075, 0.07916559278964996, 0.11104501783847809, -0.2988961338996887, -0.09466641396284103, -0.03702081739902496, 0.7328669428825378, 0.06346604228019714, -0.11859076470136642, -0.09427051991224289, -1.065207600593567, -0.10111103951931, 0.3712471127510071, -0.06681196391582489, 0.35165390372276306, 0.29184699058532715 ]
1,056
0704.1058
Pilar Ruiz-Lapuente
Pilar Ruiz-Lapuente
Dark energy, gravitation and supernovae
Invited Topical Review (Class. Quan. Grav) 27 pages Journal link: http://stacks.iop.org/0264-9381/24/R91
Class.Quant.Grav.24:R91-R111,2007
10.1088/0264-9381/24/11/R01
null
gr-qc astro-ph hep-ph
null
The discovery of the acceleration of the rate of expansion of the Universe fosters new explorations of the behavior of gravitation theories in the cosmological context. Either the GR framework is valid but a cosmic component with a negative equation of state is dominating the energy--matter contents or the Universe is better described at large by a theory that departs from GR. In this review we address theoretical alternatives that have been explored through supernovae.
[ { "created": "Mon, 9 Apr 2007 03:10:51 GMT", "version": "v1" }, { "created": "Tue, 26 Jun 2007 23:57:24 GMT", "version": "v2" } ]
2010-11-02
[ [ "Ruiz-Lapuente", "Pilar", "" ] ]
07
[ -0.22288550436496735, -0.0721382349729538, -0.7882880568504333, -0.2905111610889435, 0.06529135257005692, -0.5609496831893921, -0.7922285795211792, 2.52707576751709, 0.05258328467607498, -0.07688724249601364, 0.5451407432556152, 0.07466432452201843, 0.48721855878829956, 0.6842734217643738, -0.7076390981674194, -0.9031216502189636, 0.14234700798988342, -1.5164153575897217, -0.4409944415092468, 1.0362118482589722, -0.17951305210590363, -0.0006930519011802971, -0.8759768009185791, 1.1729114055633545, -0.5615828037261963, 0.35469916462898254, -0.62912517786026, 1.2574772834777832, 0.7541579008102417, 0.8257312178611755, -0.6647162437438965, 0.06133376434445381, 0.3778456449508667, 0.566444456577301, 0.04466833546757698, 0.21754546463489532, -0.1428595930337906, -0.8205309510231018, -1.2133771181106567, 0.3770502209663391, -0.22872747480869293, 0.6603309512138367, 0.2707652449607849, 0.6181831359863281, 1.0541831254959106, -1.1635289192199707, -0.7222887277603149, 0.5669361352920532, -0.18745161592960358, 1.1193534135818481, -0.2822866141796112, 0.6154296398162842, 0.2332202047109604, 0.7056916356086731, 0.772605836391449, -0.332256019115448, 0.2395455539226532, -0.11279840022325516, 0.7651110887527466, -0.13687512278556824, -0.3535594642162323, -0.043461281806230545, 0.07773663103580475, 0.4935322403907776, -0.5969863533973694, -0.24927785992622375, 0.0808834657073021, 0.26264023780822754, 0.6129953861236572, -0.3405044376850128, 0.4772758483886719, -0.7060824632644653, -0.19064506888389587, -0.3084368109703064, -0.32562893629074097, -1.211997628211975, -0.008811711333692074, -0.22223202884197235, 0.9782274961471558, -0.06941360235214233, 0.14490292966365814, 0.620365560054779, -0.4360373914241791, -0.21258774399757385, 0.024399520829319954, 1.2664271593093872, 0.003014686983078718, 0.5987605452537537, 0.13512973487377167, -0.287182092666626, -0.13054294884204865, -0.05868152529001236, 0.44060003757476807, -0.2626229524612427, 0.5712880492210388, 0.7872063517570496, -1.3838828802108765, 0.593747615814209, 0.7818947434425354, 1.0433073043823242, 0.38999924063682556, -0.24389775097370148, 0.11319480836391449, -0.05850807577371597, 0.06583631038665771, -0.5044868588447571, -0.9616308808326721, -1.361645221710205, -0.8856729865074158, 0.008530158549547195, 0.7581002712249756, 0.3754355311393738, -0.27485036849975586, 0.9232833385467529, -0.8542342782020569, -0.7179922461509705, -0.2744351327419281, 0.1597663015127182, -0.9609649181365967, 0.6034421920776367, -0.26747843623161316, 0.6335578560829163, -0.807011604309082, -0.02444668672978878, 0.9209586381912231, -0.6609403491020203, -0.1432301104068756, -0.6775398254394531, 0.1421421319246292, 0.7022497057914734, 0.301819771528244, -0.6546889543533325, -0.18215025961399078, 1.2227948904037476, -0.16034112870693207, -0.51887446641922, 0.0892430767416954, 0.3064478635787964, -0.03846292570233345, 0.3841308057308197, 0.30273833870887756, -0.1435776948928833, -0.2206248790025711, 0.4318130612373352, -0.08424317836761475, 1.253008246421814, -0.9544145464897156, -0.9600107669830322, 0.39028722047805786, -0.39709579944610596, -1.2703189849853516, 0.04705524444580078, -0.3931507468223572, 1.280063509941101, -0.6911312937736511, 0.17308945953845978, -0.1859259456396103, 0.5154380798339844, 0.591888964176178, 0.7530041933059692, 0.5851330161094666, 0.564069926738739, 0.3455335199832916, 0.5072108507156372, -0.02963484823703766, -0.7664568424224854, -0.8005871176719666, 0.28380051255226135, -0.8188991546630859, -0.36344286799430847, -0.029313666746020317, 0.3441447615623474, -0.2079675942659378, -0.6419517993927002, -0.38067367672920227, -0.2031242996454239, 1.779134750366211, -0.12728585302829742, -0.6376891732215881, 0.7669520974159241, 0.6899452805519104, -0.02476387470960617, -0.5574463605880737, -0.4158203601837158, 0.18782374262809753, -1.0881954431533813, 0.537986695766449, -0.02975877933204174, -0.2485293596982956, 0.4274713695049286, -0.5316221117973328, 0.4566928446292877, 0.4807937443256378, 0.06716801226139069, 0.5546730160713196, 0.44295865297317505, -0.8810911774635315, -0.527547299861908, -0.41178229451179504, -1.2904773950576782, -1.1948018074035645, -0.27538323402404785, 0.4035254120826721, 0.07252007722854614, -1.7419519424438477, 1.2180603742599487, 1.2409158945083618, 0.2748996317386627, 0.21978724002838135, 0.4799669086933136, -0.15471158921718597, -0.7050589919090271, 0.8494724035263062, -0.17960314452648163, 0.4486249089241028, -0.07067134231328964, -0.33387649059295654, -1.6555119752883911, -0.02903270535171032, -0.14493171870708466, 0.00391742680221796, 0.7385841608047485, 0.04929634556174278, -0.5251961946487427, -1.7670360803604126, 0.09905993938446045, 0.7971654534339905, -0.5509493350982666, 0.45902472734451294, -0.7355774641036987, 0.8041632771492004, -0.03408311679959297, -0.39010557532310486, -1.6369125843048096, -0.6860946416854858, 0.9314804673194885, 0.1240430697798729, -0.5851005911827087, -0.181513711810112, 0.3559187352657318, -0.40618637204170227, 0.3155715763568878, 0.4066086411476135, -0.5626842975616455, 0.26788944005966187, -0.0002454235218465328, -0.4869658052921295, 0.05388699844479561, 0.23681360483169556, -1.045351266860962, -0.29426661133766174, 0.18961937725543976, 0.06654587388038635, 0.1430240273475647, 0.041731834411621094, -0.49851733446121216, 0.11796043813228607, -1.0002169609069824, -1.0273851156234741, 0.4507901668548584, -1.354798436164856, -0.5814456939697266, -0.09757320582866669, 0.3755924701690674, -0.8408916592597961, -0.3773941993713379, 0.8579778075218201, -0.9470217823982239, -0.8896352648735046, -1.209680438041687, -1.0882261991500854, -0.2524016201496124, 1.0208642482757568, 0.9161816239356995, -0.29345300793647766, 0.1003519669175148, -0.9273242354393005, -0.12872475385665894, -1.1501102447509766, -0.6915286779403687, -0.6579842567443848, 0.6373311877250671, 1.1182835102081299, 1.702609658241272, 0.7750726342201233, -1.2480394840240479, -0.7499728202819824, 0.01143368799239397, -1.3247733116149902, -0.8864662051200867, 0.4192200005054474, -0.254426509141922, -0.46175524592399597, 0.9633684754371643, 0.6625198721885681, 0.41320279240608215, 1.090694546699524, -0.4051940143108368, 0.5292711853981018, -0.6001926064491272, -0.2647610604763031, 0.3232414126396179, -0.7187736630439758, 0.7884156107902527, 1.0988107919692993, 0.17428702116012573, -0.41163313388824463, 0.0571880117058754, -0.4435052275657654, 0.43332439661026, -0.8894028663635254, -0.1241992637515068, -0.02669782005250454, -0.35171228647232056, 0.016624627634882927, 0.25566205382347107, -0.060683488845825195, -0.13735948503017426, -0.6195467114448547, -0.745150089263916, -0.5058892369270325, 0.4519464075565338, 0.34382933378219604, 2.013812780380249, -0.7273765802383423, -0.6788544654846191, -0.09620047360658646, -0.05520118772983551, 0.6179068088531494, -0.8378878831863403, -0.19982004165649414, 0.12169501930475235, 0.16109228134155273, 1.205424427986145, -0.6187257766723633, -0.6555832028388977, -0.3531317412853241, 0.19379682838916779, 0.9749249815940857, 0.6781586408615112, -0.9156100153923035, 0.5052627921104431, 0.47736144065856934, 0.7036058902740479, -0.5088724493980408, -0.18814615905284882, -0.18672190606594086, -0.06044059991836548, -0.8261445760726929, 0.08709941804409027, -0.41445261240005493, -0.3141631484031677, -0.5065568089485168, -1.0554815530776978, 0.6554677486419678, -0.5430436730384827, 0.6724564433097839, -0.4507931172847748, 0.34373125433921814, 0.298342764377594, -1.1549874544143677, 0.311102032661438, 0.41474077105522156, 0.27004262804985046, 1.0873782634735107, -0.3425275683403015, -0.6204424500465393, 0.6232551336288452, -0.42732250690460205, 0.08097180724143982, -1.052904725074768, 0.10259639471769333, -0.5021908283233643, 0.09835709631443024, -0.06533269584178925, -0.6493740677833557, 0.7160328030586243, -0.39162540435791016, -0.3406055271625519, 0.06972364336252213, -0.6569743156433105, -0.14516706764698029, 0.619390070438385, -1.1190482378005981, 0.03961567208170891, 0.835428774356842, 0.9274216890335083, 0.2822919487953186, 0.603316068649292, -0.16426409780979156, 0.015067344531416893, -0.6565325856208801, -0.5031062364578247, -0.48715338110923767, -0.35787639021873474, -0.39567121863365173, -0.1205010712146759, -1.3082621097564697, 0.8392472267150879, -1.116660714149475, 0.6648944020271301, -0.3124922811985016, -0.5985859632492065, -1.1202317476272583, -0.9541469812393188, 0.2739708423614502, -0.45763733983039856, 0.2741999626159668, -0.07792934775352478, -1.2297519445419312, -0.087810218334198, -0.8399563431739807, 0.3823331892490387, 0.2787556052207947, -0.2617877721786499, -1.073003888130188, 0.5456791520118713, 0.40934306383132935, 0.5522021055221558, -0.9658432006835938, 0.2922613024711609, -0.4174894690513611, 0.03147235885262489, 0.7916837334632874, 0.052579279989004135, -0.3475983142852783, -0.17474514245986938, 0.022252898663282394, 0.23365777730941772, 0.10073599219322205, -0.560352623462677, -1.0161494016647339, 1.6468921899795532, -0.4150330126285553, 0.4987166225910187, -1.0860652923583984, 0.2904719412326813, -0.10855401307344437, -0.018509885296225548, -0.5480539202690125, -0.29025378823280334, -0.5851615071296692, 0.19755344092845917, -0.053499918431043625, -0.29286208748817444, 0.12046527862548828, 0.030475853011012077, 0.16459518671035767, 1.1713489294052124, -0.1679481565952301, -0.4908778965473175, -0.4139423668384552, 0.22719816863536835, 0.6384924054145813, 0.08332742750644684, -0.596301257610321, 0.2165404111146927, 0.979472815990448, -0.5108444094657898, -0.09916558861732483, -0.40541350841522217, 0.19977930188179016, 0.10146218538284302, 0.5210399031639099, 0.31418007612228394, -0.9819550514221191, -0.582490086555481, -0.04437178373336792, -0.44125792384147644, 0.36409443616867065, 0.07775469124317169, 0.040386855602264404, -0.8717687726020813, 0.14233168959617615, -0.8175962567329407, 2.5911543369293213, 0.27969884872436523, -0.7927908301353455, -0.7250688076019287, 0.04151821509003639, 0.2117871791124344, 0.2702767550945282, -1.1667381525039673, -0.5100652575492859, -1.1755198240280151, -1.1621818542480469, -1.2751151323318481, 0.3306267559528351, 0.23734337091445923, -0.7356772422790527, -0.14201465249061584, -0.6926074624061584, 0.20004317164421082, 0.7970300912857056, 0.06968922168016434, -0.10332031548023224, -0.22208645939826965, 0.7424448728561401, -0.1543661206960678, 0.24189528822898865, 0.4728792905807495, 0.9642086625099182, 0.6224662065505981, -1.025604486465454, -1.9978601932525635, 0.15510904788970947, -0.8400736451148987, 1.2294049263000488, 0.12466849386692047, 1.7742270231246948, -0.7605197429656982, 0.011839251033961773, 0.8160378932952881, 1.263832449913025, 0.9819527268409729, 0.8351047039031982, -0.7534052133560181, -2.5287511348724365, 0.2739383578300476, -0.8067893981933594, 0.16535961627960205, -0.8781229853630066, 0.08447283506393433, -0.47974666953086853, -0.2755707800388336, -0.1914387047290802, 0.23809416592121124, 1.2247741222381592, -0.2725657820701599, -0.3401699662208557, -0.11803358048200607, -0.9666234850883484, 0.8635280132293701, -1.1753954887390137, -0.7138583660125732, -0.04963446781039238, -0.15416154265403748, -0.23029451072216034, 0.614203691482544, -0.07831040769815445, 0.27252650260925293, 0.4794336259365082, 0.10883423686027527, 0.8720227479934692, 1.199752688407898, -0.008498678915202618, 0.5908136963844299, -0.7275492548942566, 0.4003206789493561, 0.5768786668777466, 0.4585355520248413, 0.27250009775161743, -0.8892918825149536, -0.33302247524261475, -0.27347368001937866, -0.03310299664735794, -9.655860900878906, 0.3687211275100708, -0.5461214184761047, -0.0833778828382492, -0.06366728246212006, -0.8675932884216309, 0.2853848338127136, 0.007444009184837341, 0.29042303562164307, -0.6374650001525879, 0.756920337677002, 0.35681432485580444, -1.953473448753357, -0.4167512059211731, 0.1025751456618309, 0.10380703955888748, -0.09223456680774689, -0.7864767909049988, -1.111624002456665, -0.9631206393241882, -0.360689252614975, 0.240314319729805, 0.06063520908355713, -0.09929992258548737, -0.46004965901374817, 0.17096692323684692, -0.34896567463874817, -0.0871613472700119, 0.48173534870147705, -0.2056407779455185, 0.20349381864070892, 0.4373372495174408, -0.4585522413253784, 1.1795748472213745, -0.6602160334587097, 0.21386735141277313, -0.5008038878440857, 0.8191928863525391, 0.8449172973632812, -0.45029258728027344, 0.08713998645544052, 1.47922945022583, -0.4715385437011719, 0.47957417368888855, -0.11417344957590103, 1.7081316709518433, 0.07676377147436142, 0.4186024069786072, 0.43632426857948303, -0.4651632606983185, -0.7140895128250122, -1.0859005451202393, 0.8087177872657776, -0.23498445749282837, 0.5519453883171082, -0.12430055439472198, -0.5901466012001038, -0.648086667060852, -0.7019758820533752, -1.575787901878357, 0.12056506425142288, -0.7220224142074585, -0.056444067507982254, -0.8239172697067261, 0.8491700291633606, -0.4737192690372467, 0.6766066551208496, -0.05760733783245087, -0.3977292478084564, -0.35223308205604553, 0.2618304193019867, -0.8961698412895203, 0.8514987826347351, -0.6628110408782959, -0.20376050472259521, -0.5221278667449951, -0.5699502229690552, 1.2247236967086792, -0.29837214946746826, -0.005879215430468321, 0.7445169687271118, 1.0852463245391846, -0.025878731161355972, 0.7792111039161682, 0.034947317093610764, -0.4855499565601349, 0.08812806010246277, -0.31423303484916687, 2.301858901977539, -0.6209254264831543, -0.22480787336826324, 0.09378160536289215, 0.007608638610690832, -1.5050275325775146, -1.11845064163208, -0.40996718406677246, 0.3911362886428833, 0.010541227646172047, -0.6629454493522644, -0.7266151905059814, 0.9966563582420349, 0.6104572415351868, 0.4356524348258972, 0.515150249004364, -0.16377852857112885, -0.19250045716762543, -1.2978615760803223, -0.19414469599723816, 0.6297812461853027, -1.1810612678527832, -0.8536698222160339, 0.3548910319805145, 0.8059683442115784, 0.40918296575546265, -0.2665388286113739, -1.3098118305206299, -0.2280421108007431, 0.46136149764060974, -0.449615478515625, 1.1041444540023804, -1.3359748125076294, -0.3302445113658905, 0.64454585313797, -0.03954646736383438, -1.0899183750152588, -0.40764838457107544, 0.26299425959587097, -0.8622495532035828, 0.3391091525554657, 1.1539409160614014, -0.8764649629592896, -0.3188718557357788, 1.010652780532837, -0.7049838900566101, 0.18176522850990295, 0.296789288520813, 0.7265869379043579, 0.9022250175476074, -0.9906431436538696, 0.8141782283782959, 0.8769748210906982, 0.7773129940032959, -0.07568129897117615, 0.35294732451438904, 0.5439601540565491, -0.022976957261562347, 0.022603292018175125, -0.6261523365974426, -0.43889710307121277, -0.8319829106330872, 0.869228720664978, 0.2743149995803833, 1.9465994834899902, 0.996292769908905, -0.6817086935043335, 0.06534337252378464, -0.258198082447052, -0.4217659831047058, -0.9881370663642883, 0.5440390706062317, -0.7825514674186707, -0.4760333299636841, -0.35400691628456116, 1.7685872316360474, -1.2471293210983276, -0.7846768498420715, -1.0964189767837524, 0.5469247102737427, -0.15025565028190613, 0.040028367191553116, 0.1638622134923935, 0.39983272552490234, -1.1127454042434692, -0.4508173167705536, 0.14334501326084137, 1.0334922075271606, -0.035252705216407776, 0.7725686430931091, -0.3578717112541199, -0.11924148350954056, -0.05356008931994438, 1.2757233381271362, 0.03357354924082756, 0.7736932635307312, -0.8201118111610413, 1.031477451324463, 0.48799121379852295, 0.38492271304130554, 0.7113576531410217, 0.5969906449317932, 0.22104422748088837, 0.08133824914693832, -0.6466419696807861, 0.13700424134731293, 0.14594560861587524, 0.14696256816387177, 0.05432286486029625, 1.0421148538589478, 0.8271802067756653, -1.2354189157485962, 1.0540982484817505, 0.07072220742702484, -0.30051738023757935, 0.10184253752231598, -0.47349104285240173, 0.5904723405838013, -0.5936132073402405, 0.2447325587272644, 1.9657354354858398, 0.49696633219718933, -0.7556244134902954, -0.3423176109790802 ]
1,057
0704.1059
Mark Villarino B.
Mark B. Villarino
Decartes' Perfect Lens
12 pages; proof of the exceptional cases to Drucker's theorem elaborated; one new importante reference is added; typos corrected
null
null
null
math.GM math.CA
null
We give a new, elementary, purely analytical development of \textsc{Descartes}' theorem that a smooth connected surface is a perfect focusing lens if and only if it is a connected subset of the ovoid obtained by revolving a cartesian oval around its axis of symmetry.
[ { "created": "Mon, 9 Apr 2007 03:35:16 GMT", "version": "v1" }, { "created": "Thu, 12 Apr 2007 02:44:53 GMT", "version": "v2" }, { "created": "Sun, 15 Apr 2007 20:36:00 GMT", "version": "v3" }, { "created": "Mon, 23 Apr 2007 20:49:23 GMT", "version": "v4" } ]
2007-05-23
[ [ "Villarino", "Mark B.", "" ] ]
07
[ 1.3771135807037354, 0.2107766717672348, 1.055993914604187, 0.04561789706349373, 0.19051234424114227, 0.2708328068256378, -0.06314997375011444, 0.48045942187309265, -0.1505579650402069, -0.6096916794776917, -1.1137244701385498, -0.3642071783542633, -0.6671655178070068, 0.6433011293411255, 0.5455398559570312, -1.0103833675384521, 0.30599263310432434, -0.5869502425193787, -0.40500447154045105, 0.6842761039733887, -0.8316102623939514, 0.08665003627538681, 0.31253406405448914, 0.013234283775091171, 0.34784573316574097, -1.3823429346084595, -0.07742875814437866, -0.4464719593524933, -1.0604500770568848, -0.3446926474571228, 0.6340326070785522, 0.610164999961853, -2.508723735809326, 0.7632672190666199, 0.32298240065574646, 0.3262422978878021, 0.2004036009311676, -0.4079732596874237, -0.4487524926662445, -0.10930722206830978, 0.2153889238834381, -1.2476296424865723, 0.44948333501815796, -0.9136636853218079, 1.0740410089492798, 0.015112968161702156, -0.5645923614501953, 0.5843126773834229, 0.6600155830383301, 1.0571085214614868, -0.22960305213928223, 0.9235925674438477, 0.8698930740356445, -0.5641170144081116, 0.3854973316192627, -0.36780107021331787, 0.9623041152954102, 0.6195067167282104, 1.0050188302993774, -0.11450722068548203, 0.2507019639015198, 0.4482497572898865, 0.8832493424415588, 0.22134268283843994, -0.03211053088307381, -0.9360894560813904, 0.7807934880256653, 1.348467230796814, -0.3170914053916931, 0.49313777685165405, 0.889489471912384, -0.25887230038642883, -0.26148152351379395, 0.14627771079540253, -1.0486787557601929, 0.03995145112276077, 0.9807056784629822, -0.5051741600036621, -0.6283082962036133, 0.45714348554611206, 0.41046059131622314, 0.31829842925071716, -0.35894346237182617, -0.352090448141098, 0.047442223876714706, 0.8987280130386353, 0.26799771189689636, -0.36297285556793213, -0.3839441239833832, 0.6719526648521423, 1.4130975008010864, -1.188464879989624, 0.9144648909568787, 0.523087739944458, -0.8532092571258545, 0.5050936937332153, -0.024483928456902504, -0.3641558885574341, -0.24782676994800568, -1.5309593677520752, 1.4259012937545776, -0.11425025761127472, -0.48481741547584534, 0.48866385221481323, -1.0157570838928223, 0.08590418845415115, 0.54636549949646, 1.2307415008544922, 1.8200985193252563, 0.2748925983905792, 0.5533532500267029, -0.058739643543958664, 0.3746770918369293, -0.5605322122573853, -0.1500091403722763, 1.3753678798675537, -1.091659665107727, 0.5349374413490295, 0.7075254321098328, 0.4182564616203308, -0.8228948712348938, 0.28965044021606445, -0.5097399353981018, -1.152026653289795, -0.3917926549911499, 0.24685023725032806, -1.5394841432571411, -0.7404288053512573, -0.5955069661140442, -0.22745102643966675, -0.5183727145195007, -0.14597073197364807, -0.6028268933296204, -1.4487621784210205, -0.605695366859436, 0.08043976873159409, -1.2370775938034058, -1.40883469581604, 0.06344616413116455, 0.0336468480527401, 0.417289674282074, -0.39996829628944397, -1.0121490955352783, 0.2852684259414673, 0.36535993218421936, 1.006220817565918, -0.5392000675201416, 0.1356373131275177, -0.06061113253235817, 1.3401942253112793, 0.18123970925807953, -0.8993179202079773, 0.503110408782959, 0.38519224524497986, 0.3511123061180115, 1.2001742124557495, -0.9041467308998108, 0.20206154882907867, -0.7267506718635559, 1.1858093738555908, -0.21321310102939606, -0.2850528359413147, 0.6357738971710205, -0.01333367545157671, -0.30954939126968384, -0.43589532375335693, 0.5237650275230408, -1.229770541191101, 1.157871127128601, 0.9330737590789795, -1.052139163017273, 0.1126924380660057, -0.1087750568985939, -0.002727091545239091, 0.013464445248246193, -0.38957932591438293, -0.5344210863113403, 0.49170535802841187, 1.002691626548767, -1.0767518281936646, -0.5348362922668457, 0.22563162446022034, -0.8079314827919006, 0.42794597148895264, -0.5401080250740051, -0.8124375939369202, 0.4595756232738495, 0.07373399287462234, 0.5624048113822937, -0.300386905670166, -1.5498168468475342, -0.034403420984745026, 0.36984947323799133, 0.03363969549536705, 0.27026301622390747, 0.5901061296463013, -0.06028950214385986, 0.7110518217086792, -0.4612202048301697, 0.33833977580070496, 0.05697806552052498, -0.14500939846038818, 0.35154786705970764, -0.20835158228874207, -0.7592049837112427, -0.1940818876028061, 0.6223112344741821, 0.2765501141548157, 0.3543644845485687, -0.20781508088111877, -0.2575325667858124, 0.0422978512942791, 0.7143967747688293, -0.30852270126342773, -0.1788443922996521, -0.36978867650032043, -0.8809661865234375, -0.1245223730802536, 0.5007154941558838, 1.161105990409851, 0.011253014206886292, -0.05233476683497429, 0.10647153854370117, 0.7110214233398438, -0.6671258211135864, 0.925284743309021, -0.03163718804717064, 0.6984726786613464, -0.6316927075386047, -1.5249125957489014, 0.38298743963241577, -1.3026293516159058, -0.3633131980895996, -0.275341659784317, -1.0726269483566284, 0.05366726219654083, -1.8482770919799805, -0.6533234715461731, -0.34756869077682495, 0.15261559188365936, -0.2990048825740814, 1.7516911029815674, -0.08304312825202942, -1.3937183618545532, -1.0439717769622803, 0.8988771438598633, 0.5580222606658936, -0.19188106060028076, -0.758429765701294, 0.16083873808383942, -0.39759957790374756, 0.08869890123605728, 0.4700034558773041, 0.07008281350135803, -0.8940763473510742, 0.2155890315771103, -0.07780727744102478, -0.9656667113304138, -1.115399956703186, 0.4481978118419647, 0.37020617723464966, -0.09920991957187653, 0.009836294688284397, -0.7316608428955078, 1.3256386518478394, -1.1365141868591309, -0.03151502460241318, -0.2103789895772934, 0.18878325819969177, 1.4315308332443237, 0.317166268825531, 0.41365763545036316, 0.7747623920440674, -0.275267630815506, -0.4868685305118561, -0.9295589923858643, 0.5536314845085144, 0.37873589992523193, -0.026555603370070457, -0.39995455741882324, 0.685520350933075, 0.5716066360473633, -0.516998291015625, 0.36616453528404236, 0.7682905793190002, 0.5801268815994263, 0.427043616771698, -0.8352044224739075, 0.37843450903892517, 0.7343571186065674, -0.6250008344650269, -1.5464874505996704, -0.2661692202091217, -0.8479911088943481, -0.48300889134407043, -0.4330645203590393, -0.7830146551132202, -0.8519793748855591, 0.38883712887763977, -0.5022740960121155, -0.004661886487156153, -0.7739822268486023, -0.4570190906524658, -0.14684252440929413, 0.5024955868721008, -0.9015195965766907, -0.07111978530883789, 0.09657222777605057, 0.575534462928772, -0.15398824214935303, -1.3277634382247925, 0.05039609596133232, -0.30548933148384094, -0.5997719764709473, 0.9444271922111511, -0.07780388742685318, -0.6646706461906433, -0.7026937007904053, -0.6658838391304016, -0.44941917061805725, 0.47382140159606934, 0.7220110893249512, 0.5630873441696167, -0.28377383947372437, -0.33458319306373596, 0.3017423152923584, -0.4249795079231262, 1.1839394569396973, 1.0665233135223389, 0.17594507336616516, 0.3757806122303009, -0.48308998346328735, 1.2382423877716064, 0.7869094014167786, -2.097215414047241, -1.264540672302246, -0.6961508393287659, -0.40912893414497375, -0.2656237781047821, -0.6170631051063538, 0.18405769765377045, -0.021497340872883797, -0.40469133853912354, -0.6152479648590088, -0.8379862308502197, 0.18392865359783173, -0.26362165808677673, -0.6134729981422424, -0.38541823625564575, 0.7497504353523254, -0.05142169073224068, -0.8191698789596558, -0.5754557251930237, -1.06032133102417, -0.3915356993675232, 0.2142816185951233, 0.236903578042984, 0.22215963900089264, -0.9382028579711914, -0.12040978670120239, 0.10020414739847183, 0.08815832436084747, 0.8301459550857544, -1.2566843032836914, 0.6204227805137634, -0.30662858486175537, -0.15124373137950897, 0.27603450417518616, 0.11590056866407394, 0.6588456630706787, -1.0411802530288696, 0.7334628105163574, -0.9758086800575256, 0.2920747995376587, -0.06218988448381424, 0.5043896436691284, -1.4542828798294067, 0.9870302081108093, -0.5790798664093018, -0.06921310722827911, -0.036777663975954056, 1.071653127670288, 0.884387195110321, 0.3814457058906555, -0.2840369939804077, 0.8438904285430908, -0.2730501592159271, -0.4220553934574127, -0.04666900634765625, -0.21233205497264862, -0.44059911370277405, 1.3650438785552979, -0.43228045105934143, 0.0030180769972503185, -0.7942737936973572, 1.5559800863265991, -0.4276164770126343, 0.4393744170665741, -0.884432852268219, -0.8118381500244141, -0.4775257110595703, 0.1409214287996292, -0.6939641237258911, -0.6345082521438599, -0.9642406702041626, 0.13403666019439697, -0.2972356379032135, 1.1943795680999756, -0.3608839213848114, 0.7744812965393066, -0.2797943651676178, -1.3811949491500854, -0.5061966180801392, 0.5638329386711121, 0.26798543334007263, -0.9801244735717773, -0.8967105150222778, -0.18447478115558624, 0.730832040309906, -1.0225006341934204, 0.6651864051818848, -1.4908502101898193, 0.6055523157119751, 1.1250697374343872, -0.07858745753765106, -1.1285817623138428, -0.2040816694498062, -0.4820491075515747, -0.0586039274930954, 0.18787142634391785, 0.31868645548820496, -0.41758614778518677, 0.5370602011680603, -0.6179258823394775, -1.2280921936035156, -0.2652490437030792, -1.0561761856079102, 0.2503868043422699, -0.1986444890499115, 0.5980545282363892, -0.5837684869766235, -0.3486148416996002, -0.6885883808135986, -3.127481460571289, -0.19520235061645508, -0.6012870669364929, -0.43359196186065674, 1.128736138343811, -0.9377092719078064, -0.6016931533813477, 0.004256455693393946, 1.038784384727478, -0.3724449574947357, 0.4321315586566925, -0.42496803402900696, -0.3245706856250763, 0.2971896231174469, 0.007605367805808783, 0.5381457209587097, 0.8623147010803223, 0.5011085271835327, 0.5476002097129822, 0.5846307873725891, -0.30558088421821594, -0.27993276715278625, -0.0377163402736187, 1.0342248678207397, -0.12867850065231323, -0.9660431146621704, 0.9733335375785828, 0.8676236271858215, -0.5871240496635437, -0.4308970272541046, -0.09669510275125504, 1.3297371864318848, -0.17439298331737518, -0.6798391342163086, -0.5601110458374023, 1.2842955589294434, 0.6989445686340332, 1.4072773456573486, 1.0253936052322388, 0.3564656972885132, -0.3792838454246521, -0.70953369140625, -0.20774978399276733, 0.47084230184555054, 0.5958307981491089, 0.16167166829109192, 0.3689207136631012, 0.06663647294044495, 0.23353898525238037, -0.9449267983436584, 0.4484384059906006, -1.1433111429214478, 0.5660447478294373, -0.3895847797393799, 0.0845029279589653, 0.07137785851955414, -0.30107927322387695, -0.5364758372306824, 1.3995859622955322, 0.48202356696128845, -0.09498906135559082, -0.7618113160133362, -0.06861082464456558, -0.5339783430099487, 1.1501185894012451, 1.243028998374939, -0.4371034801006317, -0.4869062304496765, -0.9261707663536072, 2.1741228103637695, -0.8361424207687378, -0.045022327452898026, -0.8936721086502075, -0.49509963393211365, -2.787400484085083, -0.1945672631263733, -0.3418179154396057, 1.2717496156692505, -0.8725401759147644, -0.7788963317871094, -0.0026199480053037405, 0.2628008723258972, 0.2702527642250061, -1.486295223236084, 0.15073947608470917, 1.0002042055130005, 0.47182026505470276, 0.42010360956192017, 1.2492091655731201, 0.5745142698287964, -0.39276283979415894, 0.29180431365966797, -0.3320695459842682, -0.6876412034034729, 0.3121127486228943, -1.2129088640213013, -1.6220784187316895, 0.3293655812740326, 0.08895047008991241, 1.0076518058776855, 0.03344777598977089, 1.1317555904388428, -0.2439795881509781, 0.40682536363601685, -0.2115563154220581, -0.2820787727832794, 0.7164741158485413, -0.5785148739814758, -0.8064050078392029, 1.3938250541687012, 0.854167640209198, -1.0307998657226562, -0.4987165331840515, -7.112021446228027, 0.38781026005744934, -0.05958636850118637, 0.35106226801872253, 0.6493831276893616, -0.04799021780490875, -0.6395034193992615, 0.058025483042001724, -0.012061510235071182, 0.6289016008377075, 1.0581674575805664, 0.17605213820934296, -1.2597864866256714, -0.4965212047100067, 1.1468020677566528, -0.0019395314157009125, -0.2212100625038147, 0.8062319755554199, -0.31934845447540283, 1.5887818336486816, 0.7763316631317139, 0.309870183467865, -0.08975455164909363, 0.03257216140627861, 1.3571678400039673, -1.4694476127624512, -1.0579302310943604, -1.8440204858779907, 0.5623401999473572, 0.1910354048013687, -0.6546547412872314, 0.5869715809822083, 0.7169467806816101, 1.0629140138626099, -0.1768178939819336, 0.03127219155430794, 0.7195973992347717, -0.17613168060779572, -1.0374284982681274, 0.1104121059179306, 0.5432685613632202, 0.11703469604253769, 0.30107468366622925, 0.8702444434165955, 0.5486966371536255, 0.2303427904844284, -1.1084133386611938, 0.18107600510120392, -0.8099052906036377, -1.3670613765716553, -2.0991265773773193, -0.021335965022444725, -0.005144094116985798, -0.4796971380710602, 0.8237689137458801, 0.5130581259727478, 1.8404651880264282, -1.1997666358947754, -1.7456451654434204, -1.2086656093597412, -0.5540406107902527, -0.22829671204090118, -0.8517574667930603, 1.1414837837219238, 0.5833212733268738, 0.1893218457698822, 0.6069303750991821, 0.7612658739089966, 0.5217967629432678, 2.392849922180176, -0.7456240653991699, -0.49666544795036316, 0.013426080346107483, -1.12168550491333, 0.2917732298374176, -0.5036702752113342, 0.3446613848209381, 1.057387113571167, -0.35638684034347534, 0.4076622426509857, -0.22642424702644348, -1.0295214653015137, -0.2808099687099457, 0.5156349539756775, -0.30584415793418884, -0.3838677704334259, 0.11907700449228287, 2.075176477432251, 0.6115890145301819, -1.2676160335540771, 0.11837535351514816, 1.2916207313537598, -0.23724529147148132, -0.11483661830425262, -0.014976716600358486, 0.6896991729736328, 0.1273832619190216, -0.19341561198234558, -0.4554663300514221, -0.8241944313049316, -0.04263249412178993, -1.285739779472351, 0.3105887472629547, 0.4118635356426239, 0.6420374512672424, 0.9598989486694336, -0.5542529821395874, 1.232614517211914, -0.26208120584487915, 0.11194354295730591, 0.7004474997520447, 0.3334975242614746, 0.5477411150932312, -0.39837661385536194, 0.0001957737549673766, -0.257788747549057, 0.23030562698841095, 0.20996171236038208, -0.2559799551963806, -0.3977966010570526, 0.9213045835494995, -0.06512242555618286, -0.7243990302085876, 0.45068424940109253, 0.5151613354682922, 0.20181144773960114, 0.8776446580886841, -0.6832553148269653, -0.7322424054145813, -0.7257697582244873, 0.1309455931186676, 0.07113873958587646, -0.23127546906471252, 0.08361726254224777, -0.27793264389038086, -0.8207820653915405, 0.4509955942630768, -0.7913753390312195, -0.8740546107292175, -1.2485545873641968, 0.4507441818714142, 0.045572202652692795, 0.5568773746490479, 0.23308129608631134, -0.31821727752685547, -0.9382144212722778, -0.7903569936752319, -0.02416364662349224, -0.35695770382881165, 0.13187390565872192, 0.32679829001426697, -0.8691390156745911, -0.2657700479030609, -0.3501017093658447, -0.4938764274120331, -0.31665971875190735, 0.2301364541053772, -0.5771779417991638, 0.3347513973712921, 0.10569735616445541, -0.20283333957195282, -0.4169732630252838, 2.0092859268188477, 0.5398834347724915, 0.07424604892730713, 0.1623978167772293, -0.266159325838089, 0.793184757232666, 0.5881780982017517, 0.908896803855896, -0.20403432846069336, -0.7099680304527283, 0.09504175931215286, 0.23490408062934875, 0.4594273567199707, -1.553640365600586, -1.7271826267242432, -1.449533462524414, 0.8454392552375793, -0.8710111975669861, -0.23259244859218597, -0.511978268623352, 0.4045678675174713, -0.8009476661682129, -0.11887158453464508, 0.890067994594574, -1.2682771682739258, -0.004555888008326292, 1.270925760269165, -0.14546586573123932, -0.12682795524597168, -0.4549396336078644, -0.38647904992103577, 1.2991943359375, -1.286810278892517, 0.07897618412971497, -0.7764945030212402, 0.7331744432449341, -0.3483274281024933, -0.3012387752532959, -0.7005752921104431, 0.5334372520446777, 0.591796338558197, -0.05814480781555176, -0.3793848752975464, -0.4336887300014496, -1.1325807571411133, 1.001303791999817, 1.1807377338409424, -0.5286068916320801, 0.4301474094390869, -0.8355919718742371 ]
1,058
0704.1060
Kazunobu Maruyoshi
Hiroshi Itoyama, Kazunobu Maruyoshi
Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry
12 pages, 1 figure; v2: typos corrected and a footnote added; v3: minor corrections added
Phys.Lett.B650:298-303,2007
10.1016/j.physletb.2007.05.028
OCU-PHYS 262
hep-th
null
It is known that the fermionic shift symmetry of the N=1, U(N) gauge model with a superpotential of an adjoint chiral superfield is replaced by the second (spontaneously broken) supersymmetry in the N=2, U(N) gauge model with a prepotential and Fayet-Iliopoulos parameters. Based on a diagrammatic analysis, we demonstrate how the well-known form of the effective superpotential in the former model is modified in the latter. A set of two equations on the one-point functions stating the Konishi anomaly is modified accordingly.
[ { "created": "Mon, 9 Apr 2007 04:08:09 GMT", "version": "v1" }, { "created": "Thu, 21 Jun 2007 09:09:29 GMT", "version": "v2" }, { "created": "Mon, 12 Nov 2007 04:58:41 GMT", "version": "v3" } ]
2008-11-26
[ [ "Itoyama", "Hiroshi", "" ], [ "Maruyoshi", "Kazunobu", "" ] ]
07
[ 0.4696749150753021, -0.22821861505508423, -0.336917519569397, 0.9424450993537903, -0.36961638927459717, 0.43367069959640503, 0.6819186210632324, 1.1128360033035278, -1.3149669170379639, -1.2795559167861938, 0.7942289710044861, 0.7459445595741272, 0.8179342150688171, 0.11736748367547989, -0.3144446909427643, 0.6761889457702637, -0.4256821274757385, -1.132340669631958, 0.2317882776260376, -0.19622287154197693, 0.2345273643732071, 0.4621923863887787, -1.0768624544143677, 0.08291603624820709, 0.23609986901283264, 1.2429624795913696, -0.18778368830680847, 0.8368121981620789, -0.23566874861717224, 0.048273082822561264, 0.13396038115024567, 0.6546980738639832, -0.7902922034263611, 0.27268433570861816, 1.529437780380249, -0.8524691462516785, -0.14418081939220428, -1.3098903894424438, -0.2867933213710785, -0.8186532855033875, 0.8411182165145874, 0.6856511831283569, -0.42667943239212036, -0.4279889464378357, -1.4032232761383057, -0.8617459535598755, 0.9755567908287048, -0.7465016841888428, 0.616935670375824, -0.11447914689779282, -0.24327000975608826, 1.1733126640319824, 0.29749882221221924, -0.29117509722709656, -0.20467668771743774, 0.7781040072441101, -0.3748476505279541, 0.17556455731391907, -0.09969580918550491, 0.23692816495895386, -0.14381660521030426, -0.23833920061588287, 0.5118700861930847, 1.0761134624481201, 1.0375412702560425, -0.46917271614074707, -0.6412159204483032, -0.3324795067310333, 0.3025631010532379, 0.40836840867996216, -0.017887037247419357, 1.626196265220642, -0.6896353960037231, -0.08154149353504181, -0.882902979850769, -0.586760938167572, 0.9511300921440125, -0.5675201416015625, -1.110826015472412, 0.3108585774898529, -0.8102564811706543, -0.7872863411903381, -0.49867966771125793, -2.1689958572387695, 0.4383106827735901, -0.18475325405597687, 0.4442782402038574, -0.41456377506256104, -0.14576873183250427, 0.15683229267597198, 1.0773283243179321, 0.5203186273574829, -0.9520732164382935, 0.2651831805706024, -0.20330765843391418, -1.0142053365707397, -1.5092791318893433, -0.05173239856958389, -0.1216903105378151, 0.4080730676651001, 0.9038450121879578, 0.5408399105072021, -0.23527337610721588, 1.3309499025344849, -0.9117796421051025, 0.005753324832767248, -1.4006770849227905, -1.0317888259887695, -0.052580397576093674, 0.19572070240974426, 0.06684721261262894, -0.5332334637641907, 0.5587176084518433, -0.11459420621395111, -0.770969033241272, 1.3420324325561523, 0.9745059609413147, 0.0014422365929931402, -0.1943419873714447, 0.06226186826825142, -0.18042205274105072, 0.33555594086647034, 1.4496699571609497, -0.17339865863323212, 1.5787813663482666, -1.6935056447982788, -1.0296919345855713, -0.13744983077049255, 0.8992247581481934, -0.4133176803588867, 1.1681413650512695, -0.07874682545661926, 1.17606520652771, -0.1567550003528595, -1.155639886856079, -0.004488997161388397, 0.424315869808197, -0.27523982524871826, 0.3788999617099762, 0.3239295780658722, 0.06241548806428909, -0.5390612483024597, -0.7936760187149048, 1.2228376865386963, 0.6083190441131592, -0.00032327455119229853, 0.27357301115989685, -0.7671594619750977, -0.5082482099533081, 0.40788599848747253, -0.9064744710922241, -0.4721551239490509, 0.14129102230072021, -0.14559306204319, -0.31643208861351013, 0.36531081795692444, 1.251440405845642, 0.38451331853866577, -0.8857832551002502, 0.40133967995643616, 0.06623756140470505, -0.32391855120658875, 0.3949483335018158, -0.1227928102016449, 0.06418360769748688, 1.0973862409591675, 0.7907952666282654, 0.7428188920021057, -0.4088597595691681, -0.16645269095897675, -0.08842380344867706, -0.7702377438545227, -0.2619304358959198, -0.18295083940029144, 0.4881564974784851, -1.1902045011520386, 0.12481823563575745, 0.39443957805633545, -1.324144959449768, 0.33628106117248535, -0.9719709753990173, -1.7811390161514282, -0.007723395247012377, -0.8667754530906677, 0.43905192613601685, 0.8358551859855652, -0.7666478157043457, -0.4167974591255188, -0.8191541433334351, 0.5842785239219666, -0.5706725716590881, 0.5549235343933105, -1.314329981803894, 0.011196557432413101, -0.5435397028923035, 2.443190097808838, -0.31816568970680237, -0.3543778359889984, -1.8150922060012817, 0.5899288654327393, -0.4655444920063019, 0.3020210564136505, -0.4175439476966858, -0.24315966665744781, -1.2308682203292847, -0.03185511380434036, 0.4602104127407074, 0.9876174926757812, -1.0531800985336304, 1.2168117761611938, 0.3610704839229584, 0.18364481627941132, 0.2957536280155182, -0.7968592047691345, 0.7164000868797302, -0.0173567496240139, 1.3696726560592651, 0.3358958661556244, -0.12631657719612122, -0.03251133859157562, -0.13436508178710938, 0.08510760217905045, -0.2482420802116394, -0.044401537626981735, 0.3004624843597412, 1.1855899095535278, 1.414729356765747, 0.6174543499946594, 0.3226662278175354, 0.3823353052139282, -0.42124277353286743, -1.1389676332473755, 0.8773249387741089, -0.40883395075798035, -0.17551685869693756, -0.08004791289567947, -0.17914006114006042, -0.5389654636383057, -1.9981189966201782, -0.299350380897522, -0.11144663393497467, 1.8213647603988647, 0.4929552376270294, 0.4128172993659973, -0.4278109669685364, 0.1921524703502655, 0.3232973515987396, 0.9286916255950928, -1.5453811883926392, 1.3636243343353271, -1.505332589149475, 0.43455860018730164, 1.2698038816452026, 0.09836214780807495, 0.11654932796955109, -1.3282378911972046, 0.08681787550449371, -0.14992494881153107, -1.9918943643569946, 1.4905483722686768, -0.25422608852386475, -0.9813737273216248, 0.16606105864048004, 0.8216944336891174, 0.17236760258674622, -0.9346227645874023, -1.2206178903579712, -0.40323320031166077, -0.6388933062553406, -0.424560546875, -0.5928991436958313, 0.5005097985267639, -0.7721868753433228, -0.41837871074676514, 0.8758407235145569, 0.513508141040802, 0.021966230124235153, -0.5072184801101685, -0.11856801062822342, -0.809667706489563, -0.3214649558067322, 1.3721845149993896, -0.10864706337451935, 0.32638320326805115, 1.4160654544830322, 0.6963360905647278, 0.24821002781391144, 0.503559410572052, -0.6388879418373108, 0.2705061733722687, -0.733757734298706, 0.09093623608350754, 0.3528156280517578, -0.9533342719078064, -1.6753790378570557, -0.08152254670858383, 0.7266833782196045, 0.029644284397363663, 0.06161893531680107, -0.3496044874191284, -0.6563363671302795, 0.23937571048736572, -0.10596640408039093, 0.1338476538658142, -0.044859644025564194, 0.03545036539435387, 0.5940590500831604, 0.21354719996452332, -1.849731683731079, -1.0045759677886963, 0.5857836008071899, 0.10889843106269836, 0.22341443598270416, -0.5204237103462219, -0.40252506732940674, 0.2883690893650055, -0.1497495174407959, -0.5760108828544617, -0.4031873643398285, 0.685456395149231, -0.4024842083454132, 0.11550799012184143, 1.0549492835998535, -0.5269838571548462, -1.0714153051376343, -0.7443969249725342, 0.3703666031360626, -0.2337351143360138, -0.15902699530124664, 1.1864999532699585, -0.0343848280608654, 0.10351333022117615, 0.5657234787940979, 0.09403952211141586, -0.22671833634376526, 0.5465092062950134, -0.33081379532814026, -0.5295687317848206, -0.038809407502412796, -0.9997862577438354, 1.1547062397003174, -0.6866716146469116, -0.2714284360408783, 0.9490141868591309, 0.16205474734306335, 0.200798898935318, 0.835933268070221, -0.36633288860321045, -1.3908474445343018, -0.2914869785308838, 0.3387850224971771, -0.7771874666213989, 1.7192163467407227, 0.36115148663520813, -0.7401034235954285, 0.7843456864356995, -0.058533623814582825, 0.7928225994110107, -0.3863523006439209, 1.2755008935928345, 0.070107601583004, -0.3481905460357666, -0.3735071122646332, -1.098429799079895, 0.4124707877635956, 1.5861765146255493, -0.44468313455581665, -0.31137239933013916, 0.26417237520217896, 1.086961030960083, -1.3325852155685425, 0.3743874132633209, -0.22200044989585876, 0.42876648902893066, 0.060275882482528687, 0.22510449588298798, -0.5545107126235962, 0.014045137912034988, 0.5191224813461304, 0.10849664360284805, 0.2361421138048172, 0.42195144295692444, 0.7799685001373291, 0.6339516639709473, 0.49008893966674805, -0.1637631058692932, 0.3911541998386383, -0.7654508948326111, -1.6869046688079834, 0.4918403625488281, 0.585195779800415, -0.8268944025039673, 0.28382301330566406, -1.1828147172927856, -0.5781071782112122, 0.7913144826889038, -0.7649453282356262, 0.8014909625053406, 1.2172707319259644, 1.3477808237075806, -0.6024439334869385, 0.8920432925224304, -0.2981024980545044, 0.36291152238845825, -0.5264402627944946, 0.566775381565094, 0.3553098440170288, 0.9101603031158447, 0.2047523409128189, -0.0499112606048584, -0.3424212336540222, 0.7895981073379517, 0.1804042011499405, 1.1151821613311768, -0.25683462619781494, -0.3262692391872406, -0.8161605000495911, 0.16451780498027802, 0.0011685501085594296, 0.5079840421676636, 0.1173749789595604, -0.8211199641227722, -0.40634986758232117, 1.5476731061935425, -0.05964063107967377, 0.47462543845176697, 0.9263060688972473, -0.5418920516967773, -1.6723203659057617, -0.887248694896698, -0.551253616809845, -0.8691782355308533, -0.10649754852056503, -0.3636283874511719, -0.7438754439353943, -1.816837191581726, -0.6858758926391602, 1.79607093334198, -0.5679041147232056, 0.17653271555900574, 0.9495470523834229, 0.7110616564750671, 0.6253706216812134, 0.11523139476776123, -0.782433807849884, -1.072635293006897, 0.6253250241279602, 0.5468966960906982, 0.18780049681663513, -0.28143662214279175, 0.54819256067276, -0.4551343619823456, 0.7060471177101135, 0.32728415727615356, 0.3113824427127838, 0.10209807008504868, 0.11220730096101761, 0.759710431098938, -0.5528025031089783, -1.5290932655334473, 0.10316435992717743, 0.5392071604728699, 0.2346067875623703, -1.8024662733078003, 0.37157756090164185, -0.6493900418281555, 0.6873835325241089, -0.3249620199203491, -0.47487154603004456, -0.5187469124794006, 0.4269452393054962, -0.4199737012386322, 0.7195107936859131, -0.798873782157898, 0.7630681395530701, -0.34167441725730896, 2.0510973930358887, 0.46468767523765564, 0.16523177921772003, -0.7923460602760315, 1.464467167854309, 0.24759337306022644, -1.5206128358840942, 0.22410088777542114, 0.3388720750808716, -0.12047279626131058, -0.4661474823951721, -0.6827762126922607, -0.4683957099914551, 0.7932406663894653, 0.2945246696472168, 0.26251545548439026, -0.7142908573150635, 0.3425961136817932, -0.7094682455062866, 0.19104136526584625, -0.39565181732177734, -0.6670738458633423, 0.17839230597019196, -0.21117953956127167, 0.7700719237327576, 0.192244291305542, 1.1420481204986572, 0.04466945305466652, -0.09883007407188416, -0.4193197190761566, 0.4193401038646698, 0.3083069324493408, -0.5022706985473633, -0.018913621082901955, -1.534149169921875, -0.043263029307127, 0.6072913408279419, 0.9209073781967163, 0.3588514029979706, -0.6891353130340576, -1.0057271718978882, -3.865330219268799, -0.2562977373600006, -0.656312882900238, 0.06077280640602112, -0.21907491981983185, 0.0950399786233902, -0.5593942999839783, 0.2189859002828598, 0.4364083707332611, 0.7722892165184021, -1.0379931926727295, 0.7117640376091003, 1.543104887008667, -0.00952080450952053, -0.9505701661109924, 0.6877232193946838, -0.11938279867172241, -0.2158941775560379, 0.8226950764656067, 1.2875691652297974, 0.5769651532173157, -1.7135740518569946, -0.41410404443740845, 1.3867056369781494, -0.4405703842639923, -0.9056940078735352, -0.9139315485954285, 0.6218622922897339, -0.43728750944137573, 0.22251096367835999, -0.145247682929039, -0.9435106515884399, 0.1469704508781433, 0.2581951320171356, 0.13756141066551208, -1.1154191493988037, -0.6055715680122375, -0.9012283086776733, 0.5590072274208069, -7.420684337615967, -0.10971800982952118, 0.17979644238948822, -0.43671420216560364, 0.5705086588859558, -0.9223037362098694, 0.14526017010211945, -0.4909658432006836, 0.4873274862766266, 1.1402764320373535, 0.21445773541927338, -0.1325167715549469, -1.1536264419555664, 0.22630150616168976, -0.16034187376499176, -0.8425105214118958, -0.37262240052223206, -0.810754656791687, -0.06593102216720581, 1.0289816856384277, -0.10035264492034912, 0.287127286195755, -0.7645291686058044, 0.20791661739349365, 0.08498932421207428, -0.18979217112064362, 0.05036643519997597, -0.026770951226353645, 0.8846186995506287, 0.19363854825496674, -0.4713095426559448, 1.0406513214111328, 0.15843072533607483, 0.8687195181846619, 0.39476343989372253, -0.34139928221702576, -0.86993807554245, -0.039698779582977295, -0.22434794902801514, -0.9675027132034302, -0.1609088033437729, 1.4174879789352417, -0.09009718149900436, -0.29472821950912476, -0.629677414894104, 1.1084073781967163, -0.37647533416748047, -0.2559349834918976, 0.6441261172294617, -0.018827684223651886, -0.7623820304870605, -0.17639996111392975, -1.1610133647918701, -1.8148287534713745, 0.40063586831092834, 1.1256279945373535, -0.9453600645065308, -0.3360145092010498, -1.3873279094696045, 0.18814140558242798, -0.43263164162635803, -0.6928080320358276, 0.8999811410903931, -0.12752167880535126, 0.22672538459300995, -1.5465017557144165, 0.532680332660675, 0.32166311144828796, 0.06661974638700485, 0.06160803511738777, -0.6647385358810425, -0.9488161206245422, 0.9819564819335938, 0.5936982035636902, -0.9536280035972595, -0.39536091685295105, -0.5633110404014587, 1.0147209167480469, -0.47315478324890137, 0.36633530259132385, -0.20208780467510223, -0.8315220475196838, -0.4021240174770355, 0.3004411458969116, 0.1314166784286499, -0.8335629105567932, 0.5243779420852661, -0.3356190323829651, -0.005404247902333736, -0.2050488442182541, 0.5639989376068115, 0.12288124114274979, 0.038687314838171005, -0.5974881649017334, -0.5939826965332031, -0.010500814765691757, 0.6229942440986633, -0.6329092383384705, -1.0089175701141357, -0.027790972962975502, -0.255411297082901, -0.24704545736312866, 0.3843601942062378, 0.008745737373828888, 0.2541560232639313, -0.7230265736579895, 0.053091052919626236, -0.03691917657852173, -1.5748203992843628, -0.6367073059082031, -0.5081853866577148, -0.09975675493478775, -0.0538804791867733, -0.5483114719390869, 0.1925201267004013, -0.3682931363582611, 0.3721693456172943, 1.2553671598434448, -0.2810029983520508, -1.1111607551574707, -1.232361078262329, 0.2198881357908249, 1.1581295728683472, -0.7425798773765564, -0.5895575881004333, -0.20913304388523102, -0.09450004994869232, -1.1359232664108276, -0.183996319770813, 1.1862940788269043, 0.40931129455566406, 0.3700638711452484, -0.9350779056549072, -0.7958456873893738, -0.46128010749816895, -0.9952015280723572, 0.43157172203063965, -0.7677938342094421, 0.151755690574646, 0.27274954319000244, -0.4208868741989136, 0.5709513425827026, -0.11006487905979156, 0.16741682589054108, -0.42870762944221497, -0.4983479082584381, -0.13006450235843658, -0.9610100984573364, 0.1555202752351761, -0.6021689176559448, 0.4025932848453522, 0.8930196762084961, 1.3533990383148193, 0.030793670564889908, 0.14745308458805084, -0.06014573201537132, -0.023892717435956, -1.4920933246612549, 0.28269514441490173, -0.6209639310836792, -0.5275896191596985, 0.2014787495136261, 0.32405075430870056, -1.06869375705719, 0.2004750519990921, 0.5508064031600952, 0.4265795350074768, 0.3272729814052582, 0.9489895701408386, -0.37503528594970703, 0.31902268528938293, -0.5113009214401245, 0.2576086223125458, 0.3092063367366791, 0.30508068203926086, 1.1497200727462769, -0.5273985862731934, 0.33720746636390686, 0.20083552598953247, -0.10211819410324097, -0.04986164718866348, 0.10140448808670044, 0.16904741525650024, 0.06786421686410904, -0.9046856760978699, 2.4727942943573, -0.012027631513774395, -1.332316279411316, -0.09957777708768845, -0.1663241982460022, -0.2904201149940491, 0.18965382874011993, -0.9220640063285828, -0.3109436631202698, -1.1316022872924805, -0.37912991642951965, -0.2418401837348938, 1.062523365020752, 0.6540117859840393, -0.7280028462409973, -0.9641135931015015, 1.2365469932556152, -0.7121532559394836, -0.3404518961906433, -0.04485102742910385, 0.12349686771631241, -0.6957300901412964, -0.2782476246356964, -0.2772223651409149, -0.14587488770484924, 0.8013617396354675, -0.17330238223075867 ]
1,059
0704.1061
Xiao-Gang He
Kuang-Ta Chao, Xiao-Gang He, Jian-Ping Ma
Comment on "Chiral Suppression of Scalar Glueball Decay"
Comment published in Phys. Rev. Lett. 98, 149103(2007)
Phys.Rev.Lett.98:149103,2007
10.1103/PhysRevLett.98.149103
CTS-NTU-40907
hep-ph hep-ex
null
Comment on ``Chiral Suppression of Scalar Glueball Decay''
[ { "created": "Mon, 9 Apr 2007 04:10:38 GMT", "version": "v1" } ]
2008-11-26
[ [ "Chao", "Kuang-Ta", "" ], [ "He", "Xiao-Gang", "" ], [ "Ma", "Jian-Ping", "" ] ]
07
[ -0.5728982090950012, -0.6604787111282349, 0.10013532638549805, 0.02653660997748375, 0.16888077557086945, -0.16704708337783813, -0.23537065088748932, 0.7820706367492676, -0.6183141469955444, -2.4031059741973877, -0.8701679706573486, 1.081527829170227, 0.13664215803146362, -0.5805743932723999, -0.16473713517189026, 0.06857522577047348, 0.2627232074737549, -0.5497563481330872, 0.8512049317359924, 0.08524283021688461, 1.0563379526138306, -0.45084327459335327, -0.2677726745605469, -1.917260766029358, 0.11906906217336655, 0.29459819197654724, -0.4475225806236267, 0.029368648305535316, -0.8889670968055725, 0.9015491008758545, -0.3944431245326996, 0.5161729454994202, -1.7356793880462646, -0.18196406960487366, -0.343890905380249, 0.2543463408946991, 0.31746432185173035, -1.6432908773422241, -1.3686587810516357, 0.20839078724384308, -0.12145275622606277, 1.4372382164001465, 0.2768171429634094, 0.6174320578575134, -0.7505978345870972, -1.1153532266616821, -1.379713535308838, -1.9561421871185303, -0.00004453044675756246, 1.2376799583435059, -0.23558121919631958, 1.0086712837219238, 1.684614658355713, 0.5100668668746948, -0.003924008924514055, 1.0722928047180176, -1.0411038398742676, -0.23446328938007355, 0.8203040957450867, -0.24942900240421295, 0.0010851247934624553, 1.2153289318084717, -0.10298405587673187, -0.23549436032772064, -0.3148229420185089, -0.3101179301738739, -0.9039040207862854, -0.05858980491757393, -0.22600045800209045, -0.6932691931724548, -1.2224305868148804, 0.7502772212028503, 0.4330521821975708, -1.125038981437683, -1.5431236028671265, -0.6887138485908508, 0.2951200604438782, 0.6425151824951172, 0.3523731231689453, -0.12578152120113373, 0.6368088722229004, -0.33579081296920776, -1.022776484489441, -0.9349981546401978, -0.014526145532727242, 0.3010370135307312, -0.6406950354576111, -0.12632861733436584, -1.008272647857666, 0.7141596674919128, 1.4821183681488037, -0.7444539070129395, 0.6075935363769531, 0.42909374833106995, -1.1168320178985596, 0.17842493951320648, -0.8884674906730652, 0.06326141208410263, -0.1332758218050003, 1.323748230934143, 0.7372798323631287, 1.0192482471466064, 0.2327888309955597, 0.2025509774684906, -0.7221222519874573, 0.022008661180734634, -0.619679868221283, 0.12982021272182465, 0.18443116545677185, 0.31987249851226807, -0.08241844177246094, -0.6604553461074829, 0.3072168231010437, 0.24636612832546234, -0.6399237513542175, 1.3535149097442627, -0.06202682480216026, 0.3249901235103607, 1.0320062637329102, 1.2371373176574707, -0.7742202281951904, 0.05917449668049812, 0.319297730922699, 0.3393189013004303, 1.4685989618301392, 0.1646694839000702, -0.354959100484848, -0.5096122622489929, -0.479831725358963, 0.41101253032684326, 0.6604891419410706, 0.12075307965278625, 0.3558764159679413, 0.32610511779785156, -0.4983423352241516, 1.4228419065475464, 0.42275092005729675, 0.758642315864563, 0.6257728934288025, -1.1741924285888672, 0.0643654614686966, -0.4809175729751587, 0.551582932472229, 0.03656790778040886, -0.32367023825645447, 0.2757665812969208, -0.040815819054841995, -0.7144928574562073, 0.4347385764122009, 0.9326289296150208, 1.4850578308105469, -0.6997873783111572, -0.369985431432724, 0.8447589874267578, -1.0131580829620361, -0.49114882946014404, 1.3373997211456299, 0.19091884791851044, 0.8910210132598877, 0.7505844235420227, -0.2070818841457367, -0.9615486264228821, 1.1517099142074585, 0.5552078485488892, -0.5138930678367615, -0.8221001625061035, 1.096688985824585, -0.10815214365720749, -1.0358245372772217, 0.059447094798088074, 0.3986603915691376, -0.3938671350479126, 0.5621275305747986, -0.8258830308914185, -0.7092595100402832, 0.0887962356209755, -0.30817994475364685, -0.5018556714057922, -0.8636189103126526, -0.7396883964538574, 0.39359086751937866, -1.1307930946350098, -0.4984726011753082, 0.2209852784872055, -0.016320327296853065, -1.1131131649017334, -0.8042967319488525, -0.03582501783967018, 0.43976274132728577, 0.4695854187011719, -0.2684871256351471, -0.6595754623413086, -2.1977267265319824, 0.14876283705234528, -0.24381811916828156, 0.8624429702758789, 0.6901257634162903, -0.17751628160476685, 0.12514840066432953, 1.3700580596923828, 0.06945562362670898, 0.10157213360071182, -0.47882160544395447, -0.04197174310684204, 0.42958420515060425, 0.30986690521240234, 0.2591692805290222, -0.27015459537506104, -0.24134615063667297, -0.8416641354560852, -0.7940309047698975, 0.4391322731971741, 0.3506988286972046, -0.1259945183992386, 2.097703456878662, -1.0818172693252563, 0.08991220593452454, -0.5693037509918213, -1.6252186298370361, 0.5867682695388794, -0.6104145050048828, 0.022993355989456177, -0.9557129144668579, -0.012112242169678211, 0.521550714969635, 0.15055525302886963, 1.6092822551727295, -0.519476592540741, 0.2911047637462616, -0.04273432865738869, 0.7431902885437012, -0.07345125079154968, -0.0936691164970398, -0.2045350968837738, 0.4293338656425476, 0.680569589138031, 0.032931044697761536, -0.14839954674243927, -0.7990979552268982, -0.3448241949081421, 1.3167792558670044, -0.2155202180147171, -1.259385585784912, -0.67437744140625, 0.4072134792804718, 0.39502188563346863, 0.05060314014554024, -0.3016265332698822, 0.37266480922698975, -0.07586996257305145, 0.13120196759700775, -0.5026927590370178, -0.6704918742179871, -1.461754322052002, 1.4200547933578491, -0.016282066702842712, 0.27509209513664246, 0.023824432864785194, -0.7580034136772156, -0.07453223317861557, -0.6228064894676208, 0.7836509346961975, 0.23321430385112762, -0.08838214725255966, 0.32513949275016785, 0.3609745502471924, 0.8212588429450989, -0.031558480113744736, 0.26222506165504456, 0.6690776944160461, -0.3694470226764679, 0.3998749554157257, 0.8379921913146973, -1.4434057474136353, 0.6341694593429565, -0.7579147219657898, 0.3371357023715973, 0.9137781262397766, -0.11039037257432938, 0.167682483792305, 1.0108308792114258, 0.19126532971858978, 0.35446619987487793, 0.9805924892425537, -0.8969887495040894, -0.03723066300153732, 0.9118377566337585, -0.4518541693687439, 0.6327306628227234, -0.9124129414558411, 0.06295894086360931, 0.5137676000595093, -0.20975878834724426, -1.4186187982559204, 0.48006802797317505, -0.04659838229417801, 0.025440121069550514, -1.0400248765945435, 0.9423698782920837, -0.7532501816749573, -1.3635444641113281, -0.04250474274158478, -0.21374696493148804, -0.12528441846370697, 0.5246886014938354, 0.14869165420532227, 0.4753548204898834, 0.8496284484863281, -0.30738499760627747, -0.6418344974517822, 0.9116390943527222, 0.22394604980945587, 1.2830138206481934, -0.1991119086742401, 0.20431934297084808, -0.2557763159275055, -0.11510103940963745, -0.29301244020462036, -0.5198606252670288, 1.103813648223877, 1.024875283241272, 0.3268586993217468, 1.7615342140197754, 0.7624233365058899, -0.5566215515136719, -1.89741849899292, 0.3130623400211334, 0.03489812836050987, 0.26124054193496704, 1.797347903251648, 0.16563978791236877, -0.03785071521997452, 0.007245562970638275, -0.3701280355453491, -0.5632540583610535, 0.010986902751028538, -0.2768012285232544, -0.7924938201904297, -0.30171963572502136, -0.6937462687492371, -0.5018306970596313, 0.31711623072624207, -0.23835203051567078, 0.7559747695922852, -0.15985578298568726, 0.7190640568733215, -0.5599905252456665, -0.6091772317886353, -0.9826401472091675, 0.96443110704422, -0.13541804254055023, 0.5492560267448425, 0.6754886507987976, 0.1253066509962082, 0.44543206691741943, 0.05956524610519409, 0.8249667286872864, 0.46627089381217957, -0.07414508610963821, 0.06275215744972229, -0.03630843386054039, 0.279095858335495, 0.10807518661022186, 0.06673924624919891, 0.6766030788421631, -0.23907150328159332, -1.2013695240020752, 1.0705382823944092, 0.2875112295150757, 0.3616786301136017, -2.441020965576172, -0.0013994084438309073, -0.38537031412124634, 0.09478869289159775, -0.2876930832862854, 0.23270446062088013, 0.45097264647483826, -0.5452740788459778, -0.9724767804145813, 0.6895781755447388, -1.0848191976547241, 1.059167742729187, 1.0688196420669556, -0.1439131796360016, 0.7619975805282593, 0.42162567377090454, 0.3570114076137543, 0.030338959768414497, 0.5150225758552551, 0.7429764866828918, -0.7462847232818604, -0.1841283142566681, -0.4048726260662079, 0.24698308110237122, 0.8455137014389038, -1.121245265007019, 0.627236008644104, 1.2960172891616821, -0.24530847370624542, 1.2963199615478516, -0.1551019251346588, -0.023713914677500725, -0.4667167067527771, -0.5670981407165527, 1.2394654750823975, -0.7500613927841187, 0.6040382385253906, 0.2108442783355713, -0.14727579057216644, 0.4495467245578766, 0.06079194322228432, 1.9044269323349, -1.4587081670761108, 1.367149829864502, 0.6678654551506042, -0.4950975477695465, -0.412811815738678, -0.852635383605957, -0.7880570292472839, 0.20116305351257324, -0.059807125478982925, -0.8334447741508484, -0.6316159963607788, 0.5450294017791748, -0.40660011768341064, -1.1019970178604126, -0.49173200130462646, 0.26400884985923767, 0.42033451795578003, 0.3286266624927521, -1.090995192527771, -0.2250017374753952, -0.7839301824569702, -1.3347587585449219, -0.6449025869369507, -0.29360952973365784, 0.8468011021614075, 0.27807506918907166, -0.3371487259864807, 0.44010138511657715, -0.02686983533203602, 0.15606330335140228, 0.27491581439971924, 0.3894711434841156, -0.2405843585729599, 0.04517466574907303, -0.6707162261009216, -0.2400960624217987, -0.0019404692575335503, 0.03426200896501541, -0.6489483714103699, -0.1098903939127922, 0.18050912022590637, 1.73776376247406, -0.2272900938987732, -0.06016996130347252, 0.863862156867981, -0.05078035965561867, -0.8110678791999817, 0.17634521424770355, 1.2147490978240967, -0.05447706952691078, 0.5250434279441833, -1.3722776174545288, -0.23261459171772003, -0.3555203080177307, 0.14707209169864655, 0.20987990498542786, 0.3441183865070343, -0.07911882549524307, 0.4561997056007385, 0.0679980218410492, 0.11889307200908661, -2.2200870513916016, -1.0712904930114746, -0.44273659586906433, 1.4915056228637695, -0.21138063073158264, 0.4131622016429901, -0.750245988368988, -0.2408333122730255, 1.6948081254959106, 0.855923593044281, -0.30089080333709717, -0.5727789402008057, 0.2840815484523773, 0.16812922060489655, -0.22460347414016724, -0.18222323060035706, -0.8500480055809021, -0.19001662731170654, 0.5905317068099976, -0.1966933012008667, 0.15552227199077606, -1.1714690923690796, 0.3756314218044281, 0.08105741441249847, -0.3697402775287628, 0.48416849970817566, -0.4638080596923828, 0.42756766080856323, -0.7399894595146179, -0.009251309558749199, 0.9203913807868958, -1.4070570468902588, -0.5453266501426697, 0.2775203585624695, 1.6609954833984375, -0.8342940807342529, 0.6935483813285828, 0.7181878089904785, -1.0449867248535156, 0.6979840397834778, -0.008815385401248932, -0.24771007895469666, -0.06612473726272583, -0.9134571552276611, -3.089850902557373, -0.04611910879611969, -1.6287245750427246, -0.6133406162261963, -0.8864494562149048, 0.19201155006885529, -0.26936066150665283, 0.09969659894704819, -0.30349722504615784, -0.7174937725067139, -1.0123498439788818, -1.6434484720230103, 0.14806674420833588, -0.15516406297683716, -0.13308805227279663, 0.47832050919532776, -0.22887128591537476, -0.5518195629119873, 0.5872688889503479, 0.31086820363998413, 0.776918351650238, 0.8786693811416626, 0.6128706336021423, -0.11206461489200592, -0.6743879318237305, -0.12467598915100098, -0.42602020502090454, -0.10910148173570633, -1.0388060808181763, -0.49349504709243774, -0.15041914582252502, -0.6910225749015808, -1.3182462453842163, -0.7994158267974854, 0.7941480278968811, -1.776845097541809, 0.7259383201599121, 1.3820079565048218, -0.07917162030935287, -7.254337787628174, -0.07903502881526947, 0.0816282331943512, -0.07452906668186188, 0.7541407942771912, -1.1634057760238647, -0.5702099204063416, -0.1749957948923111, 0.1987694501876831, 0.15383797883987427, 0.13659979403018951, -0.41226327419281006, 0.20194277167320251, 0.5304920077323914, 0.49496737122535706, -0.5134449005126953, -0.45686033368110657, -1.1207075119018555, -1.5458571910858154, 0.4116980731487274, 0.9669814109802246, 0.7608391046524048, 0.061909742653369904, -0.8249615430831909, 1.010236382484436, 0.18171203136444092, 0.4817771017551422, 1.7698540687561035, 0.2263387143611908, 1.1727420091629028, 0.37721678614616394, 0.6175519227981567, 0.012399103492498398, -0.03952304646372795, -1.0024772882461548, 0.11124560981988907, 0.4078190326690674, 0.2269974648952484, -0.406698077917099, -0.634110152721405, -0.585928201675415, 0.5107074975967407, -0.209596186876297, -1.0656120777130127, -0.31597739458084106, 0.4246472418308258, 0.2697683274745941, 0.4850151538848877, -1.423202395439148, 0.6030124425888062, 0.2386890947818756, -1.3052273988723755, -0.4944963753223419, 0.8955510854721069, 0.36741766333580017, -0.8509998321533203, -0.6391221880912781, -0.36753565073013306, -0.08746985346078873, 0.5899176001548767, -0.6179074645042419, -0.5093132853507996, 0.08151329308748245, -0.5916820168495178, -0.9204087853431702, -1.1831785440444946, 0.5934743881225586, -0.6885424256324768, 0.3720180094242096, -0.5635743737220764, -0.21056018769741058, -0.19818595051765442, -1.0164035558700562, -1.2774494886398315, -1.326573371887207, 0.052671778947114944, -0.5230472683906555, 1.3156516551971436, 0.8238947987556458, 1.095993995666504, 0.5711040496826172, -0.22662565112113953, -0.8689344525337219, -0.5753023028373718, -0.7735576033592224, -0.5511773228645325, 0.44888293743133545, -0.40435701608657837, 1.082783579826355, -0.0069058965891599655, 0.2746101915836334, -0.2515495717525482, -0.10619455575942993, -0.8245223760604858, 0.4722626209259033, -0.2802784740924835, -0.9234004616737366, 0.11215893179178238, 0.0321970209479332, -0.14426276087760925, -0.3199804425239563, -0.7155122756958008, -0.013168214820325375, 0.2738943099975586, 1.5353726148605347, -1.1793100833892822, 0.7844357490539551, -0.608185350894928, -0.004915858153253794, -0.7925965189933777, -1.3259268999099731, -0.3711545765399933, -0.14762264490127563, -0.7409595847129822, -0.2208384871482849, -0.6518887877464294, -0.5555465817451477, 0.780792772769928, -0.11942736804485321, -0.9784116744995117, -1.1243977546691895, 0.38918522000312805, 0.06416649371385574, -0.393427312374115, 0.5770341753959656, -0.32166796922683716, 0.1553429663181305, -0.4862877130508423, -0.6249017119407654, 0.37191298604011536, -1.2166835069656372, -1.4102755784988403, 0.35590860247612, 1.5103589296340942, -0.4075940251350403, 0.19579534232616425, 0.09664534777402878, -0.45262473821640015, -0.952949583530426, 0.43155357241630554, 1.1394915580749512, 0.2838505506515503, 0.09858891367912292, -0.1216374859213829, 0.04434802010655403, -0.38301482796669006, -0.29372015595436096, 0.647161066532135, 0.7878716588020325, 0.32178330421447754, 1.5920677185058594, 1.8813194036483765, 2.043468475341797, 1.1143684387207031, -0.6321138739585876, 0.07972954213619232, -0.021785927936434746, -1.4333404302597046, -0.039137329906225204, -0.18010690808296204, 0.4901416003704071, -0.39100971817970276, 0.17711986601352692, -0.5137317180633545, -0.131158247590065, 0.4331984221935272, -1.379105806350708, 1.867276906967163, 0.6926697492599487, -0.2682766318321228, -0.6513557434082031, 0.5168246626853943, 0.22697152197360992, -0.16302767395973206, -0.30520257353782654, 1.2039963006973267, -1.1840242147445679, 1.2881898880004883, 0.6616790294647217, -1.3081624507904053, -1.1094415187835693, -0.3939249515533447, 0.6655357480049133, 0.34615758061408997, -1.0229699611663818, -0.08591711521148682, -0.6290892958641052, -0.3690856099128723, 0.1609916388988495, 0.35142219066619873, -0.2329455316066742, -0.9275696873664856, 0.451496958732605, 0.22020277380943298, -0.8348473310470581, -0.809884786605835, 0.2899893522262573, 0.5444400906562805, -0.2395230531692505, -1.042523980140686, -2.0950088500976562, 0.355391263961792, 0.4877760112285614, 1.055084228515625, -0.007302509620785713, 0.7536765336990356, 0.5837138891220093, 0.14567123353481293, -1.2934019565582275, -1.1196012496948242, 0.18479230999946594, -0.14249287545681 ]
1,060
0704.1062
Chunbin Yang
W.C. Zhang, Y. Zeng, W.X. Nie, L.L. Zhu and C.B. Yang
Scaling p_T distributions for p and \bar{p} produced in Au+Au collisions at RHIC
5 pages in revtex,7 eps figures included, will be appeared in Phys. Rev. C
Phys.Rev.C76:044910,2007
10.1103/PhysRevC.76.044910
null
nucl-th
null
With the experimental data from STAR and PHENIX on the centrality dependence of the $p_T$ spectra of protons and anti-protons produced at mid-rapidity in Au+Au collisions at 200 GeV, we show that for protons and anti-protons there exists a scaling distribution independent of the colliding centrality. The scaling functions can also describe data from BRAHMS for both proton and anti-proton spectra at $y=2.2$ and 3.2. The scaling behaviors are shown to be incompatible with the usual string fragmentation scenario for particle production.
[ { "created": "Mon, 9 Apr 2007 05:25:53 GMT", "version": "v1" }, { "created": "Fri, 12 Oct 2007 22:44:40 GMT", "version": "v2" } ]
2008-11-26
[ [ "Zhang", "W. C.", "" ], [ "Zeng", "Y.", "" ], [ "Nie", "W. X.", "" ], [ "Zhu", "L. L.", "" ], [ "Yang", "C. B.", "" ] ]
07
[ -0.09317966550588608, -0.4054594039916992, 0.7899461984634399, -0.6932772994041443, 0.14026802778244019, 0.6617778539657593, 0.9173227548599243, -0.4955070912837982, 0.03893328085541725, -0.033134929835796356, 0.3099533021450043, 0.8323534727096558, -0.06014185771346092, 0.14735782146453857, -0.4432877004146576, -0.06130817532539368, -0.49700093269348145, -0.21483798325061798, -0.32452818751335144, -1.7621480226516724, 0.11553218215703964, -0.6077825427055359, -0.10132889449596405, -0.24289175868034363, -0.4314977526664734, 1.0467960834503174, -0.11239748448133469, 0.046043068170547485, -1.2420029640197754, 0.7448289394378662, 0.28033339977264404, 0.25556761026382446, 0.3521512448787689, -0.4502630829811096, 0.8193007707595825, -0.43361279368400574, 0.13163897395133972, -0.5034987926483154, -0.17664703726768494, 1.119782567024231, 0.3515084981918335, 0.002139953663572669, -0.0818757563829422, 0.6148314476013184, 0.4935298562049866, 0.05897781625390053, -0.8935275673866272, -0.24805103242397308, -1.165030837059021, 1.8012291193008423, 0.41679590940475464, 0.13210129737854004, -0.8274787068367004, 1.2171247005462646, 0.5557664036750793, 0.5688056349754333, -0.590703010559082, 0.7424168586730957, 0.29867470264434814, -0.648684024810791, -0.12443637102842331, -1.0053778886795044, 0.24476025998592377, -0.3484298884868622, -0.13069984316825867, -0.18949846923351288, 1.7094091176986694, 0.7051919102668762, 1.7531049251556396, 0.0985853374004364, -1.385879397392273, -0.15135063230991364, -0.8740392923355103, -0.140939399600029, -1.1839866638183594, 0.1513742059469223, 0.39526939392089844, 1.902522325515747, 2.1400833129882812, -0.05640595033764839, -0.9020621180534363, 0.35621020197868347, -0.6313159465789795, -0.6213797926902771, -0.17229756712913513, -0.7258063554763794, -0.703250527381897, 0.2056611031293869, -1.4187184572219849, -0.7640462517738342, 0.300244003534317, -0.9233594536781311, 0.379603773355484, -0.33451172709465027, -0.18632790446281433, 0.7488397359848022, -1.0102919340133667, 0.44340038299560547, -0.1567617803812027, -1.3396666049957275, -0.4617547392845154, 0.06711282581090927, 0.6106531023979187, -0.30150076746940613, 0.07574309408664703, -0.41422417759895325, 0.2254631668329239, -1.3440701961517334, 0.08555720746517181, 0.09097401052713394, 0.33122310042381287, -0.8181471824645996, -1.268670678138733, -0.4559295177459717, -0.6421641111373901, 0.20711728930473328, -0.6939281225204468, -0.21329058706760406, 0.44510915875434875, 0.901504635810852, 0.2032380998134613, 0.927775502204895, -1.2009460926055908, 0.4701276123523712, 0.8309999704360962, -0.921490490436554, -0.5742807388305664, -0.849162757396698, -0.3151613771915436, -1.3423722982406616, 0.028593694791197777, 0.1826249063014984, 0.07583494484424591, 0.9292730093002319, 0.09466049820184708, 0.09527311474084854, -1.383467674255371, 0.3474375307559967, 0.6376562118530273, -0.5755781531333923, 0.5942386984825134, -0.30651435256004333, 0.4854334592819214, -0.6336593627929688, -0.37348344922065735, -0.6740890741348267, -0.49783095717430115, 0.5850671529769897, 1.3002220392227173, -0.5929073691368103, 1.126961350440979, -1.1004581451416016, -0.004984909202903509, 0.6958231329917908, -1.0891541242599487, -0.09797178953886032, 0.5662343502044678, 0.9094642400741577, 0.617800772190094, 0.5786719918251038, 0.3801339566707611, -0.5370602011680603, 1.3721719980239868, -0.5462024211883545, 0.16301889717578888, -1.2808799743652344, 0.3192990720272064, 1.0661799907684326, -1.0986247062683105, -0.5752400755882263, -0.3907686471939087, -0.44755566120147705, -0.31851696968078613, 0.34839704632759094, -0.07875125110149384, 0.7083767652511597, -0.6485459208488464, -0.004954703617841005, -0.4807951748371124, -0.8087679147720337, 0.15414072573184967, -1.1812843084335327, 0.5217339396476746, -1.0309498310089111, -0.770968496799469, 0.5018206238746643, 0.73417067527771, -0.6542578935623169, -0.42835181951522827, -0.024067699909210205, -0.5522581338882446, -0.30071067810058594, -1.776107668876648, -0.13168761134147644, -0.5593015551567078, 0.4153681695461273, 1.4912848472595215, 0.5259267687797546, 0.1884070336818695, -1.3005400896072388, 0.8423876762390137, -0.3011719882488251, -0.3529638648033142, 1.3389320373535156, -0.4586365520954132, 0.6617964506149292, 0.5728133320808411, 0.7722460627555847, -0.06107161194086075, 0.38031476736068726, -0.2899334132671356, 0.43966612219810486, -0.018747851252555847, 0.9543203711509705, -0.07480461895465851, 0.6120482683181763, 0.262022465467453, -2.6323747634887695, 0.8039624094963074, -1.005806565284729, 0.6859310865402222, 0.2782715857028961, -0.12670013308525085, -0.2158316969871521, 0.13092201948165894, -0.2983436584472656, -0.2717321813106537, 0.13720308244228363, 0.5914282202720642, -0.638489842414856, -0.22704565525054932, -0.5566253662109375, -1.038427472114563, 0.0732741504907608, 0.9706045985221863, 0.9500688910484314, -0.3622369170188904, -0.4876357316970825, -1.1960121393203735, 0.3674917221069336, 1.404407262802124, -0.43891769647598267, -0.07212882488965988, 1.130882740020752, 0.12344494462013245, 0.08393723517656326, 0.017171837389469147, -0.6792460680007935, 0.8787060379981995, 0.5737578272819519, -1.1930277347564697, 0.12013795971870422, -0.43167850375175476, -0.442650705575943, -0.49689847230911255, 0.8737407922744751, -0.21505101025104523, -0.1687546819448471, -0.6993252635002136, -0.5456503033638, -0.10980618000030518, 0.3937039077281952, -1.183335304260254, 0.3975506126880646, -0.036454543471336365, -0.249786376953125, -0.7491496205329895, -0.009225931018590927, -0.4759053885936737, 0.8070806860923767, 0.9956933856010437, -0.336408406496048, 2.41684889793396, 0.08014266192913055, 0.9377859830856323, 1.094904899597168, 0.13826823234558105, -1.0458379983901978, 0.41538557410240173, -0.08210702985525131, -0.33923104405403137, -0.9246711730957031, 0.9412198066711426, -0.4479573667049408, -0.985218346118927, -0.9115850925445557, 0.043647170066833496, 0.2446044385433197, 0.8182474970817566, 1.2825299501419067, 0.3353269696235657, -0.8196768164634705, 0.08023283630609512, 0.46388697624206543, -0.4228760898113251, -1.2345809936523438, 0.7847929000854492, -0.014846072532236576, 0.12652088701725006, -0.29229769110679626, -1.001100778579712, 0.845209538936615, -0.5363709926605225, 0.5037871599197388, 1.2131545543670654, -1.1459070444107056, 0.4580347239971161, -0.1637738198041916, 0.544818639755249, -0.5310202240943909, 0.04296254366636276, -0.21214599907398224, -0.3695092797279358, -0.507965624332428, 0.44540756940841675, 1.1623202562332153, 0.9211003184318542, -0.337372362613678, -1.367209553718567, -0.5428788065910339, -0.1929289549589157, 1.3930398225784302, 0.9844818711280823, 1.9234572649002075, -0.050663646310567856, -0.07804286479949951, -0.4407820999622345, -0.4641282856464386, -0.12444846332073212, -0.2543405294418335, 1.0792447328567505, -0.2917053997516632, 1.0289885997772217, -0.433978408575058, 0.3028363585472107, 0.31217145919799805, 0.221815288066864, 1.0638806819915771, 1.188812494277954, 0.14363205432891846, -0.5403643250465393, 0.020760172978043556, -0.030947044491767883, -0.9182659983634949, -0.4556746482849121, -0.22348904609680176, -1.237505316734314, -0.7426629662513733, -1.1004836559295654, 0.5563024282455444, -0.683597207069397, 1.0341465473175049, 1.2415738105773926, -0.22712360322475433, -0.2141755372285843, 0.38764145970344543, 0.33240842819213867, -0.7370434999465942, 0.14636735618114471, 0.6949032545089722, -1.153796672821045, 0.8085798025131226, 0.1631864607334137, 0.8654845356941223, -0.18268842995166779, 0.03755626454949379, -1.352617621421814, 0.9721496105194092, -0.24363279342651367, -0.03568951040506363, -0.8248161673545837, 0.11073599010705948, -0.6245989799499512, 0.44832777976989746, -0.15667179226875305, -1.204602599143982, 1.7034662961959839, 0.1573229283094406, -0.37042132019996643, -0.41566598415374756, -0.32532745599746704, 0.4341146647930145, -0.39824628829956055, -0.15844440460205078, 0.08535274863243103, 0.8063262104988098, -0.5970042943954468, 0.20473213493824005, 0.758691668510437, 0.12784495949745178, -1.168400526046753, -0.3931669294834137, 0.08441777527332306, 0.217368021607399, 0.12478409707546234, 0.13320304453372955, -0.9350709915161133, 0.40672823786735535, -0.07492080330848694, 0.19083978235721588, 0.18442106246948242, 0.5770295858383179, -0.20719003677368164, -0.5464413166046143, -0.33039015531539917, -1.4159973859786987, -0.5660946369171143, -0.23209813237190247, -0.31907692551612854, 0.5592134594917297, 1.540445327758789, 1.602048635482788, -0.41515567898750305, -0.18386104702949524, 0.8933749794960022, -0.8633131384849548, -1.0314103364944458, 0.17134809494018555, -0.30850863456726074, -0.33695876598358154, -1.178770899772644, -1.3272439241409302, 0.5780772566795349, -0.4291384816169739, -0.30742478370666504, 0.2934263050556183, 0.1016579419374466, 0.2683267295360565, 0.09651461988687515, -0.8931966423988342, 0.6461600661277771, 0.21381241083145142, -0.07448417693376541, 0.2467821091413498, 0.5740522146224976, 1.143187403678894, -1.2256568670272827, 0.8180782198905945, 0.14587323367595673, -0.22816677391529083, 0.7086887359619141, -0.5575332641601562, -0.28158608078956604, 0.4014545679092407, 0.6550365686416626, 0.644335150718689, 0.6167169213294983, 0.38227957487106323, -0.5762225985527039, -1.286580204963684, 0.2145625203847885, 1.7154401540756226, 0.3865930736064911, -0.618301272392273, -0.18603724241256714, -1.4367122650146484, 0.32800889015197754, -0.4563497304916382, -1.1542394161224365, -1.239627718925476, 0.7770165205001831, -0.06261696666479111, 0.34664925932884216, -0.8798826336860657, 0.9478672742843628, -0.18074333667755127, 1.1425414085388184, -1.2491546869277954, -1.854260802268982, -0.4158378541469574, 0.6252254247665405, 0.31667235493659973, -0.45785975456237793, -0.41620832681655884, -0.7479895949363708, -0.05805397406220436, 0.3756476044654846, 0.822354793548584, 1.1053930521011353, -0.6255620718002319, 1.813879370689392, 1.0294005870819092, 0.9029623866081238, 0.006022531073540449, 0.5355966687202454, -0.4618489742279053, -1.4860128164291382, 0.7356343865394592, 0.31985458731651306, -0.0944346934556961, -1.0489397048950195, -0.18801401555538177, -0.6809629201889038, 1.277401089668274, 0.12316251546144485, 0.09537952393293381, -0.013458008877933025, 0.21408650279045105, -0.08603543043136597, -0.5511914491653442, -0.09686872363090515, -0.6200174689292908, -0.16624464094638824, -0.5575731992721558, -0.9668561220169067, 0.6573309898376465, -0.5864339470863342, 0.3866962194442749, -0.8234089016914368, 0.1568295657634735, 0.16241168975830078, 0.3024463653564453, -1.4371685981750488, -0.36979222297668457, 0.8921459913253784, 0.3325954079627991, 0.34470608830451965, -3.03228497505188, 0.18533450365066528, -1.1387939453125, -0.6223291754722595, 0.5582731366157532, 0.5725012421607971, 0.4036315381526947, 1.1818783283233643, 0.08153977245092392, -0.5088220834732056, -0.578557550907135, -0.43416836857795715, -0.48053139448165894, -0.41287872195243835, -0.1284780502319336, -0.584635317325592, 0.5421468615531921, -1.2918572425842285, -1.3070995807647705, -0.8178925514221191, -0.38872092962265015, -0.4206719994544983, 0.3247743546962738, -0.397786945104599, 0.3333471119403839, -0.8164353966712952, -1.4074488878250122, 0.07912983745336533, -0.7685551047325134, 0.8208057284355164, 0.2379809468984604, 1.6643714904785156, 0.8353750705718994, -0.393777072429657, -0.7771274447441101, -0.03159373998641968, 0.06402795016765594, 0.745457112789154, -1.0590945482254028, -7.298336505889893, 0.8385521173477173, -0.07581692188978195, -0.5982805490493774, 0.3830145299434662, -0.5753527879714966, 1.045554280281067, 0.28474271297454834, 0.0376192145049572, -0.26265987753868103, -0.5920286178588867, 0.10817115753889084, -0.4380589723587036, -0.004133255686610937, -0.17496590316295624, -0.479136198759079, -0.3215639293193817, 0.04702731594443321, -0.6892278790473938, -0.02056700363755226, 0.6332557797431946, -0.22413556277751923, 0.0002347968693356961, -1.0100170373916626, 0.15336474776268005, 0.23353084921836853, -0.4971168339252472, 0.753581702709198, 0.9611638188362122, 0.16827750205993652, 0.4061085879802704, 1.2063660621643066, -1.0522624254226685, -0.5841126441955566, -1.0130027532577515, -1.2907449007034302, 0.2297806292772293, -0.27247926592826843, 1.2677340507507324, 0.30536654591560364, 0.9361777305603027, -1.124376654624939, -0.3295815885066986, -1.119770884513855, 0.08427419513463974, 0.6379776000976562, 0.4083559811115265, -1.2793673276901245, 0.11819503456354141, 0.7754989266395569, 0.002829642267897725, -0.5884541869163513, 0.35504505038261414, 0.5925511717796326, 0.7608533501625061, -0.6595050096511841, 0.7357979416847229, 0.1804368495941162, -1.0965708494186401, 1.0834362506866455, -0.029942605644464493, 1.0210034847259521, 0.6724985837936401, -1.980242371559143, 0.048771653324365616, -1.0927433967590332, 1.3113436698913574, -0.042504824697971344, -0.6585490703582764, 1.0156784057617188, 0.8161694407463074, -0.0899386778473854, 0.8383929133415222, 0.24765004217624664, 0.2074345052242279, -0.6632937788963318, 0.16635103523731232, 0.09607791900634766, 0.5497019290924072, -0.2057674080133438, 0.8077808022499084, -1.3117761611938477, -0.8396551609039307, 0.012366162613034248, -0.46575021743774414, -1.3044353723526, -0.6224255561828613, -1.8388525247573853, 0.1746414750814438, -0.6564887166023254, -0.24894413352012634, -1.1043400764465332, -0.3852331340312958, 0.8257235288619995, -0.6442470550537109, -0.6421457529067993, 0.38709738850593567, 0.39885690808296204, -1.7275936603546143, 0.4507090747356415, -1.7595536708831787, 0.0021206813398748636, 0.060620300471782684, -0.7512990236282349, 0.23874354362487793, 0.4446074962615967, -0.5555578470230103, -1.090072512626648, 0.5046905279159546, 0.6202226281166077, 0.8119076490402222, -0.49565547704696655, -0.430314838886261, 0.21904167532920837, -0.3685682415962219, 0.27945300936698914, -0.5663796067237854, 0.6295844316482544, -0.3931959271430969, -0.5578097105026245, -0.3758701682090759, 0.2492731660604477, -1.2243860960006714, 1.0133357048034668, 1.6988353729248047, -0.386644572019577, 0.1584038883447647, 0.3597903251647949, 0.602620542049408, -0.0015101063763722777, 0.729702889919281, 1.1807177066802979, -0.2816249132156372, 0.5066545009613037, 0.16677989065647125, -1.1226319074630737, 0.1699777990579605, 0.6324617266654968, -0.35938796401023865, -0.418653666973114, 2.1179771423339844, -1.7402890920639038, 0.19784346222877502, -0.876207172870636, -0.22320017218589783, -0.8061839938163757, -0.08319396525621414, 0.5774181485176086, 0.45789116621017456, -0.45070379972457886, 0.47343745827674866, 0.7536143064498901, -0.2583540380001068, 1.6789462566375732, -0.0865962952375412, -0.41707026958465576, -0.8181377053260803, 0.2192820906639099, -0.9051123261451721, -0.07833997905254364, 0.2569260895252228, 0.6705390214920044, -1.133647084236145, 1.1889711618423462, -0.09842540323734283, 0.34968817234039307, 0.8340038061141968, 0.5087464451789856, -0.7184459567070007, 0.018592316657304764, 0.023947320878505707, -0.5793983936309814, -0.8693476319313049, 0.5300284028053284, -0.2455538660287857, -0.11971057951450348, 1.1603230237960815, 1.760608434677124, -0.8335875868797302, -1.1250526905059814, -0.27090635895729065, 0.01084639597684145, 0.45178213715553284, 0.9301797151565552, -0.1365112066268921, -0.41876399517059326, -0.049820948392152786, -0.09117976576089859, -0.4052312970161438, 0.0292440727353096, -0.9057849645614624, 0.39320293068885803, -0.8590382933616638, 0.06644733995199203, -0.1632450819015503, -0.7572548985481262, -0.4064588248729706, 0.6039392352104187, -0.09796926379203796, 0.04988774284720421, -1.4140223264694214, -0.5142678618431091, 0.6097487211227417, 0.32505616545677185, -0.3886638879776001, -0.040255989879369736, -0.35211455821990967, 0.8950343728065491, -0.33223074674606323, -0.7381513714790344, 0.3210042417049408, -0.09423164278268814 ]
1,061
0704.1063
Jun-ichi Nakashima
Jun-ichi Nakashima (ASIAA), Shuji Deguchi (Nobeyama Radio Obs.)
SiO maser observations of a wide dust-temperature range sample
5 pages, 2 figures, iaus.cls, to appear in IAU Symp. 242 proceedings (Astrophysical masers and their environments)
null
10.1017/S1743921307013117
null
astro-ph
null
We present the results of SiO line observations of a sample of known SiO maser sources covering a wide dust-temperature range. The aim of the present research is to investigate the causes of the correlation between infrared colors and SiO maser intensity ratios among different transition lines. We observed in total 75 SiO maser sources with the Nobeyama 45m telescope quasi-simultaneously in the SiO J=1-0 v=0, 1, 2, 3, 4 and J=2-1 v=1, 2 lines. We also observed the sample in the 29SiO J=1-0 v=0 and J=2-1 v=0, and 30SiO J=1-0 v=0 lines, and the H2O 6(1,6)-5(2,3) line. As reported in previous papers, we confirmed that the intensity ratios of the SiO J=1-0 v=2 to v=1 lines clearly correlate with infrared colors. In addition, we found possible correlation between infrared colors and the intensity ratios of the SiO J=1-0 v=3 to v=1&2 lines.
[ { "created": "Mon, 9 Apr 2007 05:27:46 GMT", "version": "v1" } ]
2009-11-13
[ [ "Nakashima", "Jun-ichi", "", "ASIAA" ], [ "Deguchi", "Shuji", "", "Nobeyama Radio Obs." ] ]
07
[ -0.33826011419296265, 0.8423725366592407, 0.424465537071228, -0.07391544431447983, -0.9394381046295166, 0.5723862051963806, 0.7210166454315186, 0.1529233306646347, -1.5183712244033813, 0.5477442741394043, -0.36596304178237915, -0.23265399038791656, 1.1193121671676636, 0.5958858132362366, -0.13012416660785675, 0.18713049590587616, -0.864251434803009, 0.7430734038352966, 0.749067485332489, -0.008236306719481945, 0.24874497950077057, 0.10379044711589813, -0.7455826997756958, 0.2891264855861664, -0.565387487411499, 0.3839203119277954, -1.158583164215088, 0.21855340898036957, -0.3064424395561218, -0.2920852303504944, 0.42586368322372437, 0.034541789442300797, 0.028363799676299095, 0.6397982239723206, -1.0967597961425781, -0.13149097561836243, 0.10038769990205765, -0.6653012633323669, 0.3677178919315338, -0.9553670883178711, 0.048526324331760406, 0.3157012164592743, 0.5168008208274841, 0.2642686367034912, 0.486952006816864, 0.7573257684707642, -0.61727374792099, 1.1149948835372925, 0.6777286529541016, -0.027234215289354324, 0.16285407543182373, 0.34871771931648254, -0.775884747505188, 0.3970363140106201, 0.267556756734848, 0.4685326814651489, 0.10657910257577896, -0.0951671302318573, 0.7854031324386597, 0.949543297290802, -0.44284093379974365, -0.40123695135116577, 0.7472697496414185, 1.1064549684524536, -0.6950089931488037, -0.9911300539970398, 0.23062311112880707, -0.7037544250488281, 1.236074686050415, -0.4378310739994049, -0.038116175681352615, 0.4663538634777069, 0.28372520208358765, -0.3919235169887543, -1.268894076347351, 0.7932031750679016, 0.8493589162826538, -0.799268901348114, 1.4383554458618164, 0.5155913233757019, -1.1895147562026978, 0.279622346162796, 0.24934358894824982, -1.0754812955856323, 0.007091569248586893, 0.21193230152130127, 0.18596148490905762, -0.01612001657485962, 0.9092937111854553, -0.4629177451133728, -0.18860697746276855, -1.0920192003250122, -0.32448849081993103, -0.8018143773078918, -0.4697730839252472, 0.6781543493270874, -1.2262731790542603, 1.0870580673217773, -0.14979253709316254, 1.7392512559890747, -1.0674073696136475, 0.3408878743648529, 0.36594223976135254, 0.03997085988521576, -0.28080546855926514, 0.4740982949733734, -0.3483192026615143, 1.1344870328903198, -1.3866479396820068, -0.3034220039844513, -0.24598172307014465, -0.29424020648002625, -0.6183602213859558, 0.5409875512123108, -0.5175503492355347, 2.0248138904571533, 0.28437504172325134, -0.8166308999061584, 1.2004438638687134, -0.18366262316703796, -0.30004265904426575, 0.984845757484436, -1.1062350273132324, 0.5216987133026123, -0.0058426340110599995, -1.5249836444854736, 0.8238080739974976, -0.30691829323768616, 0.23720809817314148, -0.2880464494228363, -0.5104160308837891, -0.003675018670037389, -0.7215900421142578, 0.4642905294895172, 0.07948238402605057, -0.4955679178237915, -0.18846021592617035, -0.015063348226249218, -0.6153575778007507, 0.23351609706878662, -0.37812861800193787, 0.7002096176147461, -0.7717158198356628, 1.3714559078216553, 0.4582523703575134, -0.5873000621795654, 0.8018019795417786, 0.042428404092788696, 0.0006971483817324042, -1.051114797592163, -0.7135553359985352, 0.6593120694160461, 0.592316746711731, 0.44809767603874207, 0.6422656178474426, 0.230062797665596, 0.5203906893730164, 1.4918668270111084, -1.0214635133743286, 1.7849647998809814, -0.6608856916427612, -0.879654586315155, 0.13138951361179352, 0.2875390350818634, 0.4535115957260132, -0.757457971572876, 0.19317711889743805, -0.1519257128238678, -1.4502023458480835, 0.6589378118515015, 1.0577834844589233, -0.08107396215200424, 0.8003228902816772, 1.1530585289001465, -0.5632330775260925, -0.17236880958080292, 0.9539060592651367, 0.3645302951335907, -1.1267441511154175, 0.4094754755496979, 0.7256470918655396, 0.17920111119747162, -0.1535147726535797, -0.9035481810569763, 0.3215771019458771, -0.9512425661087036, -0.04575275257229805, -1.2347946166992188, 1.9275327920913696, 0.7873237729072571, -1.1614711284637451, -0.6527100801467896, 0.21412241458892822, 0.8450666666030884, -0.25829195976257324, -0.31008419394493103, -0.09924092888832092, 0.03324165940284729, -0.15470020473003387, 0.3886951208114624, -0.5299592018127441, -0.27396729588508606, 0.297177255153656, 0.33472004532814026, 0.3189774751663208, 0.36819031834602356, 0.29345303773880005, 2.1731314659118652, 0.05178312584757805, 0.911649763584137, 0.1403389275074005, -0.1400558203458786, 0.4595746695995331, 0.47454166412353516, 0.6003909707069397, -0.44533461332321167, 0.801582396030426, -0.2929251492023468, -1.0674805641174316, -1.4087272882461548, -0.872926652431488, 0.17538157105445862, -0.3505522906780243, 0.01013699546456337, 0.4051128029823303, -0.6259042620658875, -0.04758714139461517, -1.4032156467437744, -0.4193136394023895, -1.0560574531555176, 0.6538321375846863, -0.25626111030578613, -0.2802724838256836, -0.551954984664917, 0.3079119324684143, 0.1901683807373047, -0.6818991899490356, 0.23469923436641693, -0.5228298902511597, -0.22669380903244019, -1.1668466329574585, 0.7112925052642822, 1.7127383947372437, 0.932876467704773, 0.6238646507263184, -0.8280249238014221, 0.6605757474899292, -1.5210134983062744, -0.3619096279144287, -0.6083882451057434, -0.4512105882167816, -0.1488102525472641, -1.0260083675384521, -0.339523047208786, 0.3950340151786804, -0.1804761290550232, 0.30478042364120483, -1.6774616241455078, -0.5649910569190979, -0.5772769451141357, -1.5121387243270874, -1.3873575925827026, 0.3692019581794739, 0.4835740625858307, 0.33076533675193787, -1.3705251216888428, -0.951474130153656, -0.8682547211647034, 0.7391365170478821, -0.40739354491233826, -0.6703229546546936, 0.01613154634833336, 1.0230251550674438, 0.8774569034576416, 0.6227781176567078, -0.5847152471542358, 0.06174076348543167, -0.6547600626945496, -0.7921627163887024, -0.2038995772600174, 0.10811036825180054, -1.3831329345703125, 0.12645669281482697, 0.5454772710800171, -0.3884645700454712, -1.015522837638855, 0.7427599430084229, -0.9796764254570007, -0.05275004729628563, 0.8975010514259338, -0.26637622714042664, -0.7077217102050781, 0.44402170181274414, -1.1384388208389282, 1.1296290159225464, -0.7070992588996887, 0.0385746993124485, -1.0088553428649902, 0.2977338433265686, -0.4138944149017334, -0.9947848916053772, 0.7089406847953796, -0.1160711795091629, -0.06075170636177063, 0.8863298892974854, -0.44217419624328613, -0.9840737581253052, 0.6746538877487183, 0.541156530380249, 0.02486163005232811, 0.21475303173065186, 0.8716427683830261, 0.6498842835426331, -0.022297604009509087, 0.7091450095176697, -0.8975607752799988, -0.42948147654533386, 0.20661696791648865, -0.0046653044410049915, -0.37675559520721436, -0.6415186524391174, 0.6755936145782471, -1.5399651527404785, -0.3918857276439667, 0.7943117022514343, -1.1420081853866577, -1.357731580734253, -0.7256380915641785, 1.2087302207946777, -0.12000686675310135, -0.46275562047958374, 1.5579782724380493, -0.7071378827095032, 0.7799323201179504, 0.8187227249145508, 0.3295714855194092, 0.1696758270263672, -0.2236960232257843, 1.3738367557525635, -0.9155189394950867, 0.11798317730426788, 1.4888429641723633, 0.5479171276092529, 1.9828767776489258, -0.2649683654308319, 0.13390415906906128, 0.5227060317993164, -0.37813296914100647, 0.36964789032936096, -0.18611735105514526, -0.669561505317688, 1.1408787965774536, -0.7504516839981079, -0.7252304553985596, -0.1054181382060051, -0.12187393009662628, 0.9072001576423645, -0.023008977994322777, 0.08238477259874344, -0.9566870927810669, 0.18546263873577118, -0.41864725947380066, -1.574607253074646, 1.3209549188613892, 0.5240901112556458, -0.23638994991779327, -2.047232151031494, -0.5867287516593933, 0.35269299149513245, -0.36439910531044006, -0.08650106936693192, -0.12477114796638489, 0.14022092521190643, -1.031206727027893, -0.26380249857902527, -0.5542202591896057, -0.8196090459823608, -0.8411532640457153, 0.7669620513916016, 0.3190593123435974, 0.05972367897629738, -0.5134743452072144, -0.06718670576810837, 0.20633427798748016, 0.31883102655410767, 0.43898189067840576, -0.29707908630371094, -0.6650843620300293, -0.5908905267715454, 0.5839791297912598, -0.38318419456481934, 0.2316613793373108, 0.041043877601623535, -0.03373394533991814, 0.7090075612068176, 0.914985179901123, -0.41080132126808167, -0.5803002119064331, 1.1023669242858887, -0.7154383063316345, 1.1758811473846436, -0.049725454300642014, 1.0729963779449463, -1.6046408414840698, 1.0693506002426147, -0.3595094382762909, -0.44647544622421265, 1.150338888168335, -0.9111091494560242, -0.6201909184455872, -0.2865011394023895, -0.5192766785621643, -0.0232535507529974, -0.6055940389633179, 0.4491695463657379, -0.038644980639219284, -0.703778088092804, -1.6024696826934814, 0.3013169765472412, -1.525819182395935, 0.13290177285671234, -0.21094805002212524, -1.3624156713485718, -0.07835593074560165, -0.11939454823732376, 0.19194015860557556, -0.6013864278793335, -0.8650967478752136, 0.6997513771057129, 0.5917163491249084, -0.33380967378616333, 1.403937578201294, 0.3606374263763428, 1.0926553010940552, -0.3001232445240021, 0.7615076303482056, -0.6651678681373596, 0.4397433400154114, -0.21041646599769592, 0.8291614055633545, -0.22458034753799438, -1.1193143129348755, -0.12509743869304657, -0.9804297685623169, -0.23735690116882324, 0.06445875763893127, -0.04187067970633507, 0.5658411979675293, -1.70712149143219, 0.7645173668861389, -0.6878020763397217, -0.7506297826766968, 0.039893150329589844, 1.257334589958191, -0.46754205226898193, -0.13103701174259186, 1.0855355262756348, 0.44781553745269775, -1.8400582075119019, 0.004060826264321804, 0.47661277651786804, -0.12295179814100266, 0.18474657833576202, 0.8394746780395508, -0.9316750168800354, -0.02907998114824295, -0.2606157660484314, -0.604458212852478, 0.5637125372886658, -0.8552453517913818, -0.48208680748939514, 1.1529314517974854, 0.740209698677063, -0.637297511100769, -0.6391934156417847, 1.1044394969940186, -0.12217306345701218, 0.18563257157802582, -0.1013416200876236, -1.015027642250061, 0.12577706575393677, 1.088209867477417, 0.627514660358429, -0.3961228132247925, -1.2400634288787842, 0.18095874786376953, 0.6405094861984253, -1.069783091545105, -0.19178858399391174, -0.35449278354644775, 0.5741766691207886, 1.4424842596054077, 0.09145697951316833, -0.12866836786270142, 1.2349220514297485, 0.25180038809776306, -0.6328224539756775, -0.06561798602342606, 2.161240339279175, 0.3159905970096588, -0.0847894549369812, -0.9322512149810791, 0.04910450801253319, -0.4159757196903229, -0.2698345184326172, 0.011322394013404846, -1.350136160850525, -0.6435660123825073, -1.134871244430542, 1.4833499193191528, -0.04510654881596565, 0.6341602206230164, 0.06197050213813782, 1.2558389902114868, -0.6550511717796326, -0.36358872056007385, -1.0768088102340698, -2.1635496616363525, 0.7180626392364502, -1.0161833763122559, 0.7749952077865601, 0.10601603984832764, 0.5388075113296509, 0.7036290168762207, -0.35844847559928894, 0.7498390078544617, -1.2368502616882324, 0.06641256809234619, 0.22121761739253998, 0.04271968454122543, -0.261297345161438, 0.5430780649185181, 0.3589986264705658, -0.6438889503479004, 0.28526341915130615, -0.2027406245470047, 0.35189276933670044, -1.4089577198028564, 0.6054201126098633, -0.4957564175128937, -0.546284019947052, -0.8706080913543701, 0.2593446671962738, -1.4402035474777222, -0.04133450612425804, 0.8960011601448059, 0.11779271811246872, -0.3546096682548523, -0.15765921771526337, 0.2038952112197876, 0.4074363708496094, -0.4849451184272766, 0.13375715911388397, 0.6863270998001099, -0.018513403832912445, -1.043882131576538, -7.117659091949463, -0.35429221391677856, -0.3303879499435425, -0.3562801480293274, 0.6496632695198059, -0.7942366003990173, 0.2392532080411911, 0.30422618985176086, 0.38501062989234924, -1.3889216184616089, 0.4178796112537384, -0.29152968525886536, -1.3737845420837402, -1.270902156829834, 0.3817497193813324, 0.6538746953010559, -0.20032861828804016, -0.126432403922081, 0.14234159886837006, 1.203702449798584, -0.31299611926078796, 0.4771697521209717, 0.7082911133766174, -0.31276729702949524, 0.10975892841815948, -1.0207164287567139, -0.4162183105945587, -0.5656830668449402, -0.009308436885476112, 0.8043609261512756, -0.807044267654419, -0.907658576965332, -0.14747990667819977, -0.3959369957447052, 0.3367885947227478, -0.36292192339897156, 0.027636805549263954, 0.259475976228714, 0.4127875864505768, -1.0403550863265991, 0.07620413601398468, 1.1211844682693481, -0.5052231550216675, -1.5715304613113403, -0.2786332964897156, 0.297046422958374, -0.5848880410194397, -0.03593113645911217, 1.4172039031982422, 0.057872455567121506, 1.092818021774292, -0.7557857632637024, -0.6847829818725586, 1.2114546298980713, -0.36945533752441406, -0.7086769938468933, 0.874127984046936, -0.8504460453987122, 0.6938353776931763, -1.3052983283996582, -0.681420624256134, 0.7164813280105591, -0.40461957454681396, -0.691739022731781, -0.6697902679443359, 0.508861780166626, -0.7281931042671204, 0.3189716041088104, 0.6620026230812073, 0.7117405533790588, 0.3719880282878876, -1.0975970029830933, 0.5636398792266846, -0.29264721274375916, 0.8602989912033081, 0.9760658144950867, -1.146262764930725, -0.46818581223487854, -0.17164991796016693, 0.23262041807174683, 0.255205363035202, 0.8687182068824768, -1.0147587060928345, 0.2549755275249481, -1.388547658920288, -1.6050564050674438, -0.5736166834831238, 0.15993106365203857, 0.5973148941993713, -1.2854657173156738, -1.2084028720855713, -0.7164636850357056, -0.435050368309021, -0.993827223777771, 0.06881516426801682, 1.3047442436218262, 1.2370654344558716, -1.4720088243484497, -0.16143564879894257, 0.3299146294593811, 0.8831225633621216, -1.3093562126159668, -1.2078012228012085, -0.10743369162082672, 0.5080426335334778, 0.1993250697851181, -0.1478232741355896, 0.572575569152832, 0.22705954313278198, 1.3962267637252808, -0.6148977279663086, -0.0011173500679433346, -1.131413221359253, 1.1474822759628296, 1.0743352174758911, -0.4712062478065491, 0.5959076285362244, 1.356844425201416, 1.015134334564209, 0.24795657396316528, -1.1814385652542114, 0.21915027499198914, -1.8594592809677124, 0.4819112718105316, -0.5867918729782104, 0.01985083892941475, 0.6039400100708008, -0.4039785861968994, 0.4262435734272003, 0.5141704082489014, -1.7799772024154663, -0.3676074743270874, -0.1462135761976242, 0.4012739956378937, -0.5444314479827881, 0.11767101287841797, 0.4976915121078491, 0.23727679252624512, -0.6109962463378906, 0.011190944351255894, 0.6534661650657654, -0.8827760219573975, 0.16381357610225677, 0.13362817466259003, 0.005964234936982393, -0.08212738484144211, 0.04877582564949989, 0.21297520399093628, 0.19837765395641327, -0.6655426025390625, -0.3025680184364319, 0.5898421406745911, -0.8002928495407104, 0.9381434917449951, 0.06856190413236618, 0.12247851490974426, -1.0906189680099487, -0.28471261262893677, 0.5736448168754578, 1.0831348896026611, -0.2518611550331116, 0.4901176691055298, 0.17633725702762604, 0.639052152633667, -0.027439946308732033, -0.4248425364494324, 0.19873178005218506, 0.11561258882284164, -0.4680074155330658, 0.7200450897216797, -0.1562959998846054, 0.1046045646071434, -0.3404459059238434, -1.5039499998092651, 0.6821770668029785, 1.2669997215270996, -0.035780053585767746, -0.3295457661151886, 0.22860859334468842, -0.5882427096366882, -1.351326823234558, 0.7099515199661255, 0.35523882508277893, 0.14370161294937134, -0.27377942204475403, 1.5344443321228027, -0.23080980777740479, 0.4127330482006073, -1.0359495878219604, -0.5767775774002075, -0.3009679913520813, -0.7471761703491211, 0.526370108127594, 0.9328225255012512, -1.7023590803146362, -1.132655143737793, -0.3060249984264374, -0.5566402673721313, -0.6955794095993042, -0.24785450100898743, -0.20033036172389984, 1.1131492853164673, -0.06624120473861694, 0.3272743821144104, -0.3183639347553253, 1.2317966222763062, 0.5369342565536499, 0.469480961561203, -0.7084200382232666, -0.1580326408147812, 0.5609596371650696, -0.22240129113197327 ]
1,062
0704.1064
A. Nihat Berker
Ozan S. Sariyer, A. Nihat Berker, and Michael Hinczewski
Excitation Spectrum Gap and Spin-Wave Stiffness of XXZ Heisenberg Chains: Global Renormalization-Group Calculation
New results added to text and figures. 12 pages, 18 figures, 3 tables. Published version
Phys. Rev. B 77, 134413 (2008)
10.1103/PhysRevB.77.134413
null
cond-mat.stat-mech
null
The anisotropic XXZ spin-1/2 Heisenberg chain is studied using renormalization-group theory. The specific heats and nearest-neighbor spin-spin correlations are calculated thoughout the entire temperature and anisotropy ranges in both ferromagnetic and antiferromagnetic regions, obtaining a global description and quantitative results. We obtain, for all anisotropies, the antiferromagnetic spin-liquid spin-wave velocity and the Isinglike ferromagnetic excitation spectrum gap, exhibiting the spin-wave to spinon crossover. A number of characteristics of purely quantum nature are found: The in-plane interaction s_i^x s_j^x + s_i^y s_j^y induces an antiferromagnetic correlation in the out-of-plane s_i^z component, at higher temperatures in the antiferromagnetic XXZ chain, dominantly at low temperatures in the ferromagnetic XXZ chain, and, in-between, at all temperatures in the XY chain. We find that the converse effect also occurs in the antiferromagnetic XXZ chain: an antiferromagnetic s_i^z s_j^z interaction induces a correlation in the s_i^xy component. As another purely quantum effect, (i) in the antiferromagnet, the value of the specific heat peak is insensitive to anisotropy and the temperature of the specific heat peak decreases from the isotropic (Heisenberg) with introduction of either type (Ising or XY) anisotropy; (ii) in complete contrast, in the ferromagnet, the value and temperature of the specific heat peak increase with either type of anisotropy.
[ { "created": "Mon, 9 Apr 2007 19:05:01 GMT", "version": "v1" }, { "created": "Thu, 24 Apr 2008 06:07:03 GMT", "version": "v2" } ]
2009-11-13
[ [ "Sariyer", "Ozan S.", "" ], [ "Berker", "A. Nihat", "" ], [ "Hinczewski", "Michael", "" ] ]
07
[ -0.48598968982696533, -0.11661168932914734, 1.4242868423461914, 0.9498211145401001, -0.9147863388061523, 0.16692958772182465, -0.47780469059944153, -0.8304028511047363, -0.486908495426178, -0.07714051008224487, -0.6951010227203369, -1.6205824613571167, -0.8986062407493591, -0.07546894997358322, -0.6295385360717773, 0.44137248396873474, -0.5198414325714111, 0.2179442197084427, 0.8064167499542236, -0.014517586678266525, 0.12170317769050598, 0.1881474256515503, 0.13910232484340668, -0.5106931328773499, -1.265688419342041, 0.17753271758556366, -0.8879379630088806, 0.5233634114265442, -0.266743004322052, -0.3537786900997162, 0.6028348207473755, -0.29497891664505005, 1.0224875211715698, -0.24097037315368652, -0.8801900148391724, -0.20254230499267578, 0.15524691343307495, 0.6692926287651062, 0.5655449032783508, 0.09066091477870941, 0.34642669558525085, -0.11923577636480331, -1.2215111255645752, 0.9243279099464417, -1.0217068195343018, -0.6844028234481812, -0.7212423086166382, -1.906057596206665, 0.03150704503059387, 1.1032732725143433, 1.2216235399246216, 0.2683108448982239, 0.4660146236419678, 0.026496905833482742, -0.07270887494087219, 1.1005988121032715, -1.803549885749817, 0.1493445187807083, 1.5988439321517944, -1.08362877368927, -0.9519789218902588, 0.20477809011936188, 0.32169443368911743, -0.010473337024450302, 0.9364109635353088, 0.2941701114177704, 0.1742369681596756, 0.012987264432013035, 0.7477356195449829, -0.4670202136039734, 0.06482575833797455, -0.20755824446678162, -0.8536787629127502, -0.6887279748916626, 1.3473505973815918, -0.10606460273265839, -0.11909236758947372, 1.0165945291519165, 0.8468201160430908, 0.9409549236297607, 0.17177800834178925, 0.4130569398403168, 0.014944763854146004, -1.0744826793670654, 0.7541807293891907, 0.520358681678772, 1.3226783275604248, 1.1890511512756348, -0.0036449977196753025, -1.620664358139038, 0.03807440400123596, -0.31273919343948364, 0.3154669404029846, -0.27535754442214966, 0.10198145359754562, -0.4678274989128113, -1.0535553693771362, -0.14446420967578888, -0.027188671752810478, -0.3211210370063782, -0.849050760269165, 0.35407400131225586, -0.682251513004303, -0.3939812481403351, 0.01567927747964859, 1.1735882759094238, -0.8379897475242615, -1.6311438083648682, 0.8866963386535645, 0.3197377920150757, -0.5020371079444885, -0.3963940739631653, -0.6274462938308716, 0.2695760428905487, -0.059029046446084976, 1.5199533700942993, 1.361034870147705, -0.03864089027047157, -0.34088367223739624, 0.07052747160196304, -0.180053249001503, 0.04752546548843384, 1.7571033239364624, -0.14092163741588593, 0.5722371339797974, -0.022772174328565598, -0.6657986044883728, -0.3698783218860626, -0.22596968710422516, -0.8625322580337524, -0.028068874031305313, -0.3229120075702667, 0.5022828578948975, 0.25627851486206055, 0.6753000020980835, 0.1547626107931137, 0.013353526592254639, 0.07415606081485748, -0.4178357422351837, -0.46404093503952026, 0.2292729616165161, -0.5454716086387634, -0.6055560111999512, -0.8674148917198181, -0.31901243329048157, -0.8162000775337219, -1.4018484354019165, -0.7403514981269836, 0.4953649044036865, 0.10317732393741608, 1.1205278635025024, 0.4216764271259308, 0.9592075943946838, -0.7507544159889221, 0.154891699552536, 0.24971680343151093, 1.9093080759048462, 1.835656762123108, -0.2337455153465271, 0.939969003200531, 0.48880332708358765, -0.3417351245880127, 0.5998141169548035, -1.0585711002349854, -0.3009766936302185, 0.45608773827552795, 0.9294014573097229, 0.8984629511833191, -0.23670339584350586, -0.2991621494293213, 0.9811298847198486, 0.7248666286468506, -0.6721352338790894, -1.147425651550293, 0.21559280157089233, 0.19427186250686646, -0.18061380088329315, -0.30118900537490845, -0.11285239458084106, 1.0434571504592896, 0.26085561513900757, -0.5471186637878418, 0.5637508034706116, 0.11115344613790512, -0.8852090835571289, 1.4774270057678223, -0.01562048401683569, -1.7548975944519043, -0.013107151724398136, -0.41190534830093384, -1.1162184476852417, -1.2686307430267334, -1.3240430355072021, -1.380373239517212, -0.35584351420402527, 1.4906684160232544, 0.2518213391304016, 0.8289315700531006, -0.8637520670890808, 0.042473435401916504, -0.4916192293167114, 0.8469423055648804, 0.6823611259460449, -0.6379514932632446, -0.37190935015678406, 0.7902088761329651, -0.04655908793210983, -1.315902590751648, -1.0195058584213257, 0.9347714781761169, -0.8979356288909912, 0.19860400259494781, -0.9737334847450256, -0.3640224039554596, 0.05888046324253082, -1.3055018186569214, -0.7528387904167175, -0.34713420271873474, 0.506725013256073, -0.9312072992324829, 0.750106155872345, -0.5995422601699829, -0.20106257498264313, 0.2573937475681305, 0.8587387800216675, 1.0017008781433105, -0.9503347873687744, 0.04714939370751381, -0.1001005545258522, -1.6511694192886353, 0.17689549922943115, -0.33657288551330566, -0.26354551315307617, 0.30112224817276, -0.020781364291906357, 0.5059198141098022, 0.21787908673286438, -0.29402756690979004, -0.6354355216026306, -0.7382262945175171, -0.16728831827640533, -0.06388874351978302, 0.5538948178291321, -0.044921521097421646, -0.5221324563026428, -0.993040919303894, 0.008046797476708889, 0.2689675986766815, -0.7965996861457825, 0.8091295957565308, -1.459092378616333, 0.24257142841815948, 0.20935861766338348, 0.6423504948616028, -0.45574942231178284, 0.2933909296989441, -0.3501894772052765, -1.1437379121780396, 0.16893883049488068, 0.969415009021759, 0.670402467250824, 0.8689001202583313, -0.4889686703681946, 0.08576098084449768, 0.5767697095870972, -0.3364087641239166, -0.618743896484375, 0.2647859454154968, -0.38391590118408203, -0.4273746907711029, -0.5387611985206604, 0.29514583945274353, -0.4252287745475769, 0.08879067748785019, 0.7285295128822327, -0.4597851634025574, -0.0057350085116922855, 0.29163092374801636, 1.2806713581085205, 1.5173734426498413, -0.21335355937480927, 0.27366191148757935, -0.17020124197006226, -0.7666004300117493, -0.0221056267619133, 0.753504753112793, -0.4010712504386902, -1.0660327672958374, -0.04825408011674881, -0.18553200364112854, -0.7056322693824768, -0.17819437384605408, 1.8067959547042847, 0.09720920026302338, -0.19167767465114594, -1.1938934326171875, 0.9913769364356995, -0.4344111382961273, 0.4023415446281433, 0.34495478868484497, -0.16049619019031525, 0.48884791135787964, 0.10756008327007294, -0.23751629889011383, -0.03289549797773361, -0.1841694861650467, -0.03068557195365429, -1.0023996829986572, 0.1076544001698494, 0.250730961561203, -0.7488477230072021, 0.3211764991283417, 0.261905312538147, -1.299843430519104, 0.4077598750591278, -1.4275637865066528, -0.514831006526947, 0.3614959120750427, -0.3375236690044403, -0.2760215699672699, -0.3094686269760132, 1.7259230613708496, -0.12495532631874084, 1.375648856163025, 0.4369928240776062, -0.47065937519073486, -0.670329213142395, -0.25390443205833435, 0.6817458868026733, 0.12157299369573593, 0.05397643893957138, -0.6128889322280884, -1.5083231925964355, -0.4700620770454407, 0.3577829897403717, 0.11341604590415955, 0.2504141628742218, 0.2367403358221054, 1.4780431985855103, -0.13764789700508118, -0.49802833795547485, 0.09935419261455536, 0.22121451795101166, -0.9274605512619019, -0.5929521322250366, -0.563721776008606, 0.20204293727874756, 0.09466998279094696, -0.8512610793113708, -0.5121559500694275, -0.09497460722923279, -1.928271770477295, 1.2201573848724365, -0.8207329511642456, -0.3418099284172058, 0.2156931310892105, 0.6753371357917786, 0.7085675001144409, 0.9783384203910828, -0.7278732061386108, -0.5039775967597961, 1.0641850233078003, 0.23060446977615356, -0.41121307015419006, -0.5195953249931335, 0.21361187100410461, -0.5083966255187988, 0.8238545060157776, -0.5980604887008667, -0.709771454334259, 0.022465640679001808, -0.12903770804405212, 1.2430554628372192, -0.05628647282719612, -0.6960403919219971, -0.09946458786725998, -0.3465496897697449, 1.7982550859451294, 0.5564675331115723, -0.6213899850845337, 0.43262287974357605, -0.5398450493812561, 1.4649949073791504, 0.10914812237024307, 0.8089837431907654, -0.636114239692688, 0.8255716562271118, 0.6609030961990356, 0.04230822995305061, 0.27129927277565, -0.8411954045295715, 0.6098076701164246, 0.37644127011299133, 0.6337037086486816, 0.8698561787605286, -0.35036203265190125, 0.36446666717529297, 0.7053123712539673, 0.3738480806350708, -0.21403644979000092, -0.07628683745861053, -1.1953047513961792, -1.2034361362457275, 0.35259681940078735, 0.6194495558738708, 1.1023831367492676, 0.6537825465202332, 0.085651695728302, 0.3737673759460449, 0.8830776214599609, -0.17922042310237885, 1.0550873279571533, 0.04428999871015549, -0.8662317991256714, -0.39152058959007263, -0.7257170081138611, 0.2207661122083664, 0.7826265692710876, -0.9067760705947876, 0.43228355050086975, -0.0019563166424632072, -0.9468950033187866, 0.5537322163581848, 0.42669492959976196, 0.40300416946411133, 0.6164023876190186, 0.4872405230998993, -0.7844142913818359, 0.20700588822364807, -0.8937313556671143, 1.8436130285263062, 1.1331713199615479, -0.92833411693573, 0.7205302715301514, -0.8926777839660645, -1.2167264223098755, -0.255899578332901, 0.17782489955425262, 0.15541420876979828, -0.38962656259536743, 0.6013919711112976, 0.7554733157157898, 0.1940169632434845, -0.7032245397567749, -0.6198371648788452, -2.1482434272766113, -0.8456334471702576, 0.761100172996521, -0.9022350907325745, -0.7607760429382324, -0.14853040874004364, -1.3038570880889893, -0.6901469230651855, -0.7989499568939209, 0.0753423199057579, -0.8141790628433228, -1.7656854391098022, 1.6633859872817993, 0.3067919909954071, -0.38821718096733093, -0.9726964235305786, -0.4897764325141907, -0.22882065176963806, -1.0585020780563354, 0.021453846246004105, -0.7541870474815369, -0.2373659908771515, 0.25719019770622253, 0.16163240373134613, 0.4278701841831207, 1.5493453741073608, 0.3156888782978058, 1.0981117486953735, -0.398029625415802, 0.17996162176132202, -0.6521396040916443, -0.3578161895275116, 0.23989863693714142, -0.42818447947502136, 0.637257993221283, 0.9597327709197998, 0.28128302097320557, -0.009446882642805576, 0.3008836507797241, -0.4549526870250702, -0.22419804334640503, -1.5397260189056396, 1.5083407163619995, -0.6850719451904297, 1.3107725381851196, 0.7160699367523193, 0.32305124402046204, 0.10616551339626312, 1.2592196464538574, 0.2548607289791107, 0.5483081340789795, 0.41982302069664, -0.4686233699321747, -0.37866708636283875, -0.9831480979919434, -0.05163164436817169, -0.15740801393985748, -1.1968090534210205, -0.4512963891029358, -1.0616976022720337, 0.35473278164863586, -0.5988139510154724, -0.003243672661483288, 0.42430469393730164, 0.5104369521141052, 0.5945742726325989, -0.09148532152175903, -0.0627991259098053, -0.8197835683822632, -0.9386609196662903, -1.0249909162521362, -1.1397145986557007, -2.336228847503662, -0.3639504015445709, -0.7544183135032654, 0.3036753535270691, 0.34516891837120056, 0.5440042614936829, -0.8023665547370911, -0.30759817361831665, -0.005580630153417587, -1.341060757637024, 0.48481225967407227, -0.9342079162597656, -0.12914390861988068, -0.7301667928695679, -0.7419046759605408, 0.8141723275184631, 0.9356196522712708, 1.9987423419952393, 0.8675879836082458, 0.7209746241569519, 0.27702853083610535, -0.6315524578094482, 0.9967206716537476, 0.7312685251235962, -1.0067288875579834, -0.46519461274147034, -0.41606977581977844, -0.8360896110534668, -0.003531568218022585, -0.4268013536930084, 0.6762126088142395, 0.40878230333328247, 0.6365720629692078, -0.14460766315460205, -0.8782851696014404, -1.408076524734497, -0.21964788436889648, -1.4315654039382935, -0.6308740377426147, -5.531742095947266, 0.6038020253181458, -0.585599958896637, -1.0411323308944702, 1.6696770191192627, -1.3914624452590942, 0.2138565182685852, 0.3368147611618042, 0.5018860697746277, -0.2392987459897995, 1.067238450050354, 0.133564755320549, -1.853700041770935, -0.8418379426002502, 0.28736165165901184, 0.6986234784126282, 2.062263250350952, -0.05949116125702858, 0.328464150428772, 0.37671732902526855, 0.1732357293367386, -0.4885779619216919, -0.6345125436782837, -0.02270691841840744, 0.39175549149513245, 1.137577772140503, -0.3626652657985687, -1.1397645473480225, -0.5911828875541687, -0.021512189880013466, 0.07839823514223099, 0.31126275658607483, 0.19930386543273926, 1.5725198984146118, 0.7247357964515686, -0.836696445941925, 1.1391252279281616, 0.09700159728527069, 0.1217866763472557, -0.1563166081905365, 0.5873951315879822, 0.1356755644083023, 0.2550976276397705, -1.214551568031311, 0.2179155796766281, 1.5493324995040894, 0.2472437173128128, -1.7476485967636108, 1.0748300552368164, -0.36396661400794983, 0.5770553946495056, 0.13444338738918304, 0.3895639181137085, 0.6726374626159668, -1.0627628564834595, 0.5296987295150757, -0.491560697555542, 0.33678898215293884, -0.2879754304885864, 0.14724084734916687, 0.4092947244644165, 1.3091514110565186, 0.38451701402664185, -0.38447368144989014, -1.8871679306030273, 0.25500062108039856, 0.1961158663034439, -0.277319997549057, -1.3493754863739014, 0.8995401263237, -0.2259800285100937, -1.6916217803955078, -0.19962093234062195, 0.40918564796447754, 0.15192700922489166, -0.3995933532714844, 1.6151365041732788, -0.0938817709684372, -0.6059247851371765, 0.030166862532496452, -0.032999634742736816, -0.5751031637191772, -1.0530643463134766, 0.6802562475204468, 0.34559357166290283, -0.813090443611145, 0.37855061888694763, -0.3390119671821594, -0.6455848217010498, 0.3047385811805725, -0.04207717254757881, -0.4930315315723419, 0.03060857765376568, -0.41741204261779785, -0.21529154479503632, 0.751853346824646, 0.06696613878011703, -1.1796597242355347, -1.4405628442764282, 0.5466560125350952, -0.43217650055885315, -1.1465554237365723, -0.06296306103467941, 0.42006635665893555, 0.8763396143913269, 0.31322330236434937, -1.1464006900787354, 0.11248144507408142, 1.3635653257369995, 0.65298992395401, -0.8407195210456848, 0.6884718537330627, -0.1465727984905243, -0.88429194688797, -0.8166571855545044, 1.0759536027908325, -0.2831312119960785, 0.9319375157356262, -0.9346809387207031, -0.07345927506685257, -1.1320971250534058, 0.4126754701137543, 0.6267744302749634, -0.159273162484169, 1.4514704942703247, 0.047079309821128845, 0.6600866913795471, 0.2717777490615845, 0.3491032123565674, -0.031013628467917442, -0.6068838238716125, -0.4763394892215729, -0.7142588496208191, 1.3074568510055542, -0.011980103328824043, -0.976473331451416, 0.5031818747520447, -0.19801604747772217, 0.29726818203926086, -0.1292538344860077, 0.813922107219696, 1.078302264213562, 0.33537036180496216, -0.8217347860336304, -0.3372407853603363, -1.0757367610931396, 1.0734797716140747, 0.1501343548297882, -0.45816653966903687, 0.4438049793243408, -0.10645009577274323, -0.44105425477027893, -0.33817750215530396, 0.6560899019241333, 0.01742568053305149, -1.0040644407272339, -0.8190451860427856, -0.7380141019821167, -0.9401412010192871, 0.1615844964981079, -0.7247844338417053, 0.07271787524223328, 1.112577199935913, -0.1714739203453064, -0.14254926145076752, -1.0583686828613281, 0.39769247174263, -0.5864703059196472, -1.112950325012207, -0.633898138999939, 0.040723372250795364, 1.016051173210144, 0.7238168120384216, -0.4059384763240814, 0.9970806241035461, 0.4185003340244293, -0.11892418563365936, 0.37903520464897156, -0.7864375710487366, -1.2256022691726685, -2.334974765777588, -0.2723903954029083, -0.6163296699523926, 0.18025276064872742, -0.5254464745521545, 1.2364064455032349, 0.7363206148147583, -2.112234354019165, 0.8825815320014954, -0.49756476283073425, -1.0091323852539062, -0.5739116668701172, 0.21999835968017578, -0.0599682442843914, -0.36488771438598633, 1.6035571098327637, 0.17401231825351715, 0.1425042450428009, -0.2072041779756546, -0.21416166424751282, -0.09331680089235306, 0.9713848829269409, 0.5317072868347168, -0.42965465784072876, 0.5029722452163696, -0.23702619969844818, -1.1811766624450684, 1.3652921915054321, -1.0315269231796265, -0.5187777876853943, 0.9519258737564087, -1.6666866540908813 ]
1,063
0704.1065
Zenji Hiroi
Daisuke Yoshizumi, Yuji Muraoka, Yoshihiko Okamoto, Yoko Kiuchi, Jun-Ichi Yamaura, Masahito Mochizuki, Masao Ogata and Zenji Hiroi
Precise Control of Band Filling in NaxCoO2
4 pages, 5 figures, submitted to J. Phys. Soc. Jpn
J. Phys. Soc. Jpn. 76 (2007) 063705
10.1143/JPSJ.76.063705
null
cond-mat.str-el
null
Electronic properties of the sodium cobaltate NaxCoO2 are systematically studied through a precise control of band filling. Resistivity, magnetic susceptibility and specific heat measurements are carried out on a series of high-quality polycrystalline samples prepared at 200 C with Na content in a wide range of 0.35 =< x =< 0.70. It is found that dramatic changes in electronic properties take place at a critical Na concentration x* that lies between 0.58 and 0.59, which separates a Pauli paramagnetic and a Curie-Weiss metals. It is suggested that at x* the Fermi level touches the bottom of the a1g band at the gamma point, leading to a crucial change in the density of states across x* and the emergence of a small electron pocket around the gamma point for x > x*.
[ { "created": "Mon, 9 Apr 2007 06:05:27 GMT", "version": "v1" } ]
2009-11-13
[ [ "Yoshizumi", "Daisuke", "" ], [ "Muraoka", "Yuji", "" ], [ "Okamoto", "Yoshihiko", "" ], [ "Kiuchi", "Yoko", "" ], [ "Yamaura", "Jun-Ichi", "" ], [ "Mochizuki", "Masahito", "" ], [ "Ogata", "Masao", "" ], [ "Hiroi", "Zenji", "" ] ]
07
[ -0.588379442691803, -0.028477953746914864, 0.4821328818798065, 0.7836316227912903, 0.8360369801521301, 0.6617212891578674, 0.021323807537555695, -0.23693089187145233, -0.7877641320228577, -0.9131352305412292, -0.47900649905204773, -0.7641554474830627, 0.6358189582824707, -0.7681958675384521, -0.3651682734489441, -0.2858180105686188, 1.513798475265503, -0.6126261353492737, 0.6830301284790039, -0.004583923611789942, 0.7263429760932922, -0.3926844596862793, 0.2517246603965759, -1.1364468336105347, 0.6039630174636841, 1.412354826927185, -0.2936803102493286, 0.23279821872711182, 0.8578469157218933, -1.0639346837997437, 0.9535745978355408, 0.0739997923374176, 0.8859764933586121, -0.016261521726846695, 0.3601292371749878, 0.4947052001953125, 0.7160953879356384, -0.6874548196792603, 0.046112727373838425, 0.2032717615365982, 0.6274690628051758, -0.05725788697600365, 0.6708898544311523, 0.21802572906017303, -1.8272000551223755, 0.9075452089309692, -0.17910489439964294, -0.3770243525505066, 0.3233712911605835, -0.4754560887813568, 0.04474644735455513, 0.6325830817222595, -0.04959063604474068, -0.8839650750160217, 0.4135103225708008, 0.4965112507343292, -2.196337938308716, 0.3458482623100281, -0.852755606174469, -0.10622145980596542, -0.08321527391672134, -0.4807068109512329, 0.4014091491699219, -0.6819962859153748, -0.2907385230064392, -0.09897498041391373, 1.1286271810531616, 0.35483062267303467, -0.5536869764328003, -0.7638552188873291, 0.33319878578186035, -0.7839864492416382, 0.2321656346321106, -0.14187577366828918, -0.7208357453346252, 1.099816083908081, -0.4895963966846466, -0.8963359594345093, 0.841998815536499, 0.4144769608974457, -0.4599488079547882, 1.159282922744751, 0.19173914194107056, -0.5666940212249756, 0.011034850031137466, 0.12561720609664917, 0.990533173084259, 0.39497220516204834, 1.0001367330551147, -0.8327460289001465, -0.161489799618721, 0.32447367906570435, 1.24945867061615, 0.14577902853488922, 0.16620387136936188, 0.2871289849281311, -1.2337515354156494, -0.7237010598182678, -0.2001035362482071, 0.5593001246452332, -0.12646710872650146, 0.6625210046768188, 0.1288287490606308, 0.5190606117248535, 0.09162889420986176, 1.4027752876281738, 0.9405837059020996, -0.7135940790176392, -2.1480207443237305, 0.23635287582874298, -0.5341590046882629, -0.3912089467048645, -0.876610517501831, 0.9655576348304749, 0.4104960262775421, -0.05975194647908211, 0.20204991102218628, 1.285537600517273, 0.22556214034557343, -0.14509379863739014, 0.10157295316457748, 0.4348556101322174, 0.24809081852436066, -0.8839097023010254, -0.08832795917987823, -0.42186346650123596, -0.9761098027229309, -0.18092568218708038, 0.26547929644584656, -0.07789310812950134, -0.5553267598152161, 0.6189242005348206, 1.004551649093628, -0.09046065807342529, 0.0784861296415329, -0.8021067380905151, 0.29549112915992737, -0.7455034852027893, -0.5956242680549622, 0.39970844984054565, -0.21280629932880402, 0.19073918461799622, -0.27675268054008484, -0.6840198636054993, 0.7621153593063354, -1.4188041687011719, -0.457084983587265, -1.2762417793273926, -1.0909281969070435, -1.6322364807128906, -0.5440658330917358, 0.15560200810432434, -0.2206650972366333, 2.448117733001709, -0.2708165943622589, -0.1405988186597824, 0.7772583961486816, 0.34974339604377747, -0.9649370312690735, 1.9055839776992798, 0.4920671880245209, -0.40585610270500183, -0.4794081151485443, -0.8338537812232971, -0.12364077568054199, 0.5965975522994995, -0.6881729960441589, -0.45618173480033875, 0.430198073387146, 0.038771793246269226, 0.3147139251232147, -0.8235353231430054, 0.06490913033485413, 0.5420463681221008, 0.1471419632434845, -0.01667959615588188, -0.21361143887043, -0.5994132161140442, -0.250241219997406, 0.014990884810686111, -0.8068521618843079, -0.6629330515861511, 0.6391699314117432, -0.7962789535522461, 0.39866364002227783, 0.9666537642478943, 0.3212306499481201, -0.972405731678009, 0.9215624928474426, 1.3663103580474854, -0.2937201261520386, -0.3247305154800415, -0.03281308338046074, -0.7208826541900635, 0.03893294930458069, 0.5465388894081116, 0.7807990312576294, 1.2096078395843506, -1.008183479309082, -0.3011917471885681, -0.3841771185398102, 0.3312062621116638, -0.2880452275276184, -0.1701589822769165, -2.366389751434326, 0.7096199989318848, 1.2642043828964233, 1.0259826183319092, -0.2133633941411972, 0.23199261724948883, 0.9815162420272827, 0.6244405508041382, -0.4156685471534729, 0.5259541869163513, 0.3693051040172577, -0.40352198481559753, -1.5986101627349854, -0.6538589596748352, 0.41647061705589294, -0.21746833622455597, -0.6059960126876831, 0.9331283569335938, -0.08803544193506241, -0.041771817952394485, 0.6908184289932251, 0.31209149956703186, -0.027498256415128708, 0.4920195937156677, -0.13094791769981384, -1.1383793354034424, 0.9549070596694946, -0.7745947241783142, 0.8230262994766235, -1.0224957466125488, 0.535994291305542, 0.949734091758728, -0.5896582007408142, -1.3369510173797607, -0.28447163105010986, -1.170802116394043, -1.5882176160812378, -0.2684910297393799, -0.050024837255477905, 0.31824102997779846, -0.32823729515075684, 0.12057910114526749, 0.23401793837547302, 0.01227673888206482, 0.7174971103668213, -0.018803974613547325, 0.14362138509750366, 0.2985817790031433, 0.8069784045219421, -1.0509204864501953, 0.7883702516555786, 0.22355769574642181, 0.3738316297531128, -0.35839179158210754, -0.004221451003104448, 0.6648634672164917, 1.4125036001205444, -1.162282109260559, 0.7981404662132263, 0.6122601628303528, -1.0731513500213623, 0.705241858959198, -1.6106040477752686, -0.04157619923353195, 1.4014918804168701, -0.0272036325186491, -0.06772798299789429, -0.7098178863525391, -0.05016951262950897, 2.0147554874420166, -0.20553745329380035, -0.6654181480407715, -0.7584571242332458, -0.7174760699272156, 0.3092482388019562, -0.6990264654159546, 0.7343994975090027, 0.129738911986351, 1.0883020162582397, -0.2177322655916214, 0.09045414626598358, 0.0759112760424614, 1.0357211828231812, 0.04535408690571785, 0.6616007089614868, 0.9620968103408813, -1.0827943086624146, 0.6357527375221252, -0.5931326746940613, 0.2386714369058609, -0.46781909465789795, -0.19601479172706604, 0.9148954153060913, -1.178723692893982, 0.6028499007225037, -0.4214884638786316, 0.228134423494339, -0.10022234171628952, 0.6783229112625122, 0.206060990691185, 1.858679175376892, 0.0068312096409499645, -0.8437179327011108, 0.02865155041217804, -0.4701627194881439, -1.1650350093841553, -0.6194225549697876, 1.324524164199829, -1.044579029083252, 0.05946626514196396, -0.4908127784729004, 0.14890789985656738, 1.413813591003418, -0.2646262049674988, 0.9415020942687988, -1.336222529411316, 0.800692081451416, 0.6643825173377991, -0.5438040494918823, 0.46527600288391113, -0.697129487991333, -0.4976414740085602, -0.49635642766952515, -0.5582451820373535, 0.05541070178151131, -0.5894685387611389, 0.6648353934288025, 0.14850598573684692, -1.0148128271102905, 0.5281307697296143, 0.9487085938453674, 0.8227092027664185, -0.9089480638504028, -0.694510281085968, -0.20503981411457062, -1.432785987854004, 0.5259864330291748, 0.11460913717746735, 0.5925936698913574, 0.7220660448074341, -1.2824962139129639, 0.2664734125137329, -0.30035313963890076, -0.1855894923210144, 0.5351393818855286, -0.21891401708126068, -0.28928491473197937, 0.6895844340324402, -0.22883792221546173, -1.315956950187683, -0.3274126350879669, -0.07067842781543732, 0.5336456298828125, -0.10563059896230698, -0.13112670183181763, -0.2776227593421936, 0.62404865026474, -1.115917682647705, -0.5335042476654053, -0.22140257060527802, -0.1529887169599533, -1.4532065391540527, 0.08653398603200912, -2.093796968460083, -0.33958953619003296, 0.12159968167543411, -0.30615371465682983, 0.3575533330440521, 0.5280853509902954, -1.5018867254257202, -1.0390386581420898, -0.023233825340867043, -0.470124214887619, 0.4515981674194336, -0.8333088159561157, -0.3418785333633423, 0.6349610686302185, -1.0390962362289429, 0.9227095246315002, -0.47817113995552063, -0.22970661520957947, -0.2150467038154602, 0.7568985223770142, -0.8254075646400452, -0.47453081607818604, 0.11556272208690643, -0.41940444707870483, -0.03094136342406273, 0.7418352961540222, 0.07967264950275421, -0.34080055356025696, 1.3818438053131104, 1.5252883434295654, 0.6924905776977539, -0.2000364065170288, -0.09177213162183762, 0.1773497760295868, 0.2516435384750366, -0.6431737542152405, -0.6586670279502869, 0.047775108367204666, 1.332080602645874, -0.6633710861206055, -0.13235068321228027, -0.698648989200592, -0.0987851619720459, -0.5426162481307983, 0.15456582605838776, 1.3926409482955933, -0.776808500289917, -0.3288675546646118, -1.1940929889678955, 0.022821806371212006, -0.18932493031024933, -0.9071171283721924, 0.5845221877098083, 0.08708661049604416, 0.44817984104156494, -0.6698890924453735, 0.1324089914560318, 0.7063615918159485, 0.7005550861358643, -0.43734487891197205, -1.1602736711502075, 0.7172049283981323, 0.12193620204925537, 0.9874919652938843, 0.14187322556972504, -0.56166672706604, 0.4179011881351471, 0.0513036847114563, -0.6681014895439148, -0.4101909399032593, -0.6330614686012268, 0.09411819279193878, 0.3050515651702881, -0.052522167563438416, 0.880145251750946, -0.9716598391532898, -1.7205880880355835, 0.1073584333062172, -0.4736817479133606, -1.3088093996047974, 0.6445043087005615, -0.6612173318862915, -0.2546321749687195, -0.3778843283653259, -0.7995753884315491, -0.9789425730705261, 0.3260860741138458, -0.40542855858802795, 0.8173049092292786, -0.7476701140403748, 1.3443727493286133, -0.338412880897522, -0.52280592918396, -1.478325366973877, -0.4012931287288666, -0.08552974462509155, -0.3118656575679779, -0.49491822719573975, 0.3338257968425751, 0.7550822496414185, -0.309456467628479, -1.0833114385604858, 0.8427433967590332, 0.5754903554916382, 0.27178144454956055, 0.37840911746025085, -0.43944045901298523, 0.5492084622383118, -0.4683201014995575, -0.02649141103029251, 0.6044790744781494, -0.16181600093841553, 0.15664497017860413, 0.30428341031074524, -0.6252048015594482, -0.6491085290908813, 0.006280612666159868, -0.05691022798418999, 1.0413063764572144, -1.233588457107544, 0.16930165886878967, 0.21396873891353607, 1.5379445552825928, 0.782628059387207, 0.2847369909286499, 0.47272801399230957, 0.33616217970848083, 0.3336825966835022, 1.1047194004058838, -0.38654619455337524, -1.3949209451675415, 0.022687485441565514, -0.7783304452896118, 0.5827459692955017, 0.1192939355969429, -0.0020480116363614798, 0.9580886960029602, 0.16232368350028992, 0.011319266632199287, -0.4085288345813751, 0.03133444860577583, -0.6866908073425293, 0.7509007453918457, 0.5458208918571472, -0.6089159846305847, 0.6309213042259216, 1.0242558717727661, -0.004893121775239706, -1.1525225639343262, 0.24020689725875854, -2.2944984436035156, 0.22653630375862122, -0.30138957500457764, -0.7637379169464111, -0.8255594372749329, -0.02408035844564438, 0.3392372727394104, -0.17544816434383392, -0.38442572951316833, 0.8548179268836975, -0.7367529273033142, 0.2537936866283417, -0.20628860592842102, 0.39557015895843506, 1.431009292602539, 0.5230417251586914, 0.20465676486492157, 0.27574726939201355, 0.9347633719444275, -0.2348213642835617, -1.3149100542068481, -0.2640155255794525, -0.18627887964248657, -0.12246642261743546, -1.31600821018219, 0.4785666763782501, 0.28449708223342896, 0.2883492708206177, 0.6095154285430908, -0.16658219695091248, -0.4578429162502289, 0.12865673005580902, -0.2305978238582611, -1.1392476558685303, -1.1801332235336304, 0.6769188642501831, -0.620250403881073, -0.7376978397369385, 1.5885668992996216, -6.900356292724609, -0.24838247895240784, -0.8994190692901611, 0.9113613963127136, 0.9508917331695557, -0.49680379033088684, 0.04959065467119217, -0.32536959648132324, -0.8595587611198425, -0.8133633732795715, 0.7831178903579712, -0.28782588243484497, 0.18511034548282623, -1.4364044666290283, -0.6696687936782837, -0.3036361634731293, 0.43421095609664917, -0.45487597584724426, -1.1920757293701172, -0.9147379994392395, 0.007847029715776443, 0.5445858240127563, -0.4899228811264038, -0.12455426901578903, -0.07421549409627914, -0.9007001519203186, 0.32447829842567444, -0.9190835952758789, 1.3771437406539917, 0.13519306480884552, -1.26287841796875, -0.009452400729060173, 1.7493610382080078, 0.07992038875818253, 1.6009682416915894, -0.5236679315567017, 2.318325996398926, 0.517145574092865, -0.02345425635576248, 0.2165141999721527, 0.908907413482666, 0.9838715195655823, -0.809620201587677, -0.9676082730293274, -0.5454760193824768, 0.1534125953912735, -1.2328687906265259, -2.138967275619507, 0.15340940654277802, 0.5452491641044617, -0.1998739242553711, 0.9172841906547546, 0.43062251806259155, 0.5781071186065674, -0.3448910415172577, -0.12695561349391937, -1.0616848468780518, -0.04915811866521835, -0.769499659538269, -0.9928103089332581, -0.9815341830253601, -0.6704006195068359, 0.10097596794366837, 0.836966335773468, 1.2657908201217651, 0.6867316365242004, 0.46079781651496887, 0.061359286308288574, 1.0111274719238281, 0.23668059706687927, -0.17329566180706024, -0.3575804531574249, 1.7195085287094116, 1.5599191188812256, 0.38062945008277893, -0.6772384643554688, -1.1320322751998901, 0.118197962641716, 0.1523294746875763, 0.07783515006303787, 0.3393267095088959, 0.8618691563606262, -0.00511518819257617, 1.7407580614089966, -0.25083526968955994, 0.04899170994758606, 0.3468284606933594, -0.7838990688323975, -0.8022816777229309, 0.35105764865875244, -0.30689218640327454, 0.8018532395362854, -0.2228265106678009, -0.28767192363739014, -0.9923934936523438, -0.6412496566772461, -0.3133156895637512, -1.0182232856750488, -0.09218212217092514, 0.030009640380740166, -1.5665593147277832, -1.1928257942199707, -1.0823322534561157, -0.000555848004296422, -1.1285905838012695, -0.24588070809841156, 0.1823236346244812, 0.4462299644947052, 0.02962876297533512, 1.5198973417282104, 1.0480307340621948, -1.159600019454956, -0.09260772168636322, 0.3428126871585846, -1.2525166273117065, 0.19949959218502045, -1.3576818704605103, -0.16894684731960297, -1.0822464227676392, 1.0759897232055664, -0.6146574020385742, 0.5530950427055359, -0.9636504650115967, -0.49743250012397766, -0.20273791253566742, 0.03099522739648819, 1.8732259273529053, -1.4822652339935303, 0.24480971693992615, 0.5834357738494873, 0.8826128244400024, -0.19154657423496246, -0.30053070187568665, -0.3062286078929901, -0.6472635865211487, 0.33786317706108093, -0.1459599882364273, -0.06642407178878784, 0.07818610966205597, 0.28786924481391907, 1.5452351570129395, 0.6458949446678162, -1.2018322944641113, -0.6865147352218628, -0.27659526467323303, -1.0163217782974243, 0.04416342452168465, 0.6424256563186646, -0.4055961072444916, -0.723003089427948, -0.14369526505470276, -0.5273711085319519, 0.6738224029541016, 0.3592868745326996, 0.6622398495674133, 0.3177098333835602, -1.0279710292816162, -0.4720447361469269, 0.2953529953956604, 0.2062239795923233, -0.5750731229782104, -0.6022414565086365, -1.0661041736602783, -0.6755878329277039, -1.0800151824951172, -0.5424358248710632, -0.03501209244132042, -0.007558839861303568, -1.586351990699768, 0.08303838223218918, 0.3855155408382416, 0.376853883266449, -0.2750379145145416, -0.9894968867301941, 0.10607694089412689, 0.39316603541374207, 0.7095258831977844, 0.5466091632843018, -1.327178716659546, -0.32826730608940125, -1.0701837539672852, 0.6821582913398743, 0.2223229557275772, -0.34194493293762207, -0.060351140797138214, 0.649287760257721, -0.4577937126159668, -0.32247811555862427, -0.18882611393928528, 0.11003759503364563, 0.4096951186656952, -0.3311678171157837, -0.15763510763645172, 0.22193337976932526, -0.9266259670257568, -0.4828805923461914, -0.06725230813026428, 0.1722830832004547, 0.24891768395900726, -0.5317695736885071, -0.7884253859519958, 3.310386896133423, 0.07351773232221603, -0.03443155437707901, 0.6935065388679504, -0.2577035427093506, -1.147145390510559, 0.6787821054458618, -0.1172408014535904, 0.25182709097862244, 0.5934871435165405, -0.5200167894363403 ]
1,064
0704.1066
Andrew Knyazev
Andrew V. Knyazev
Observations on degenerate saddle point problems
8 pages
Comput. Methods Appl. Mech.Engrg. 196, Issues 37-40, 3742-3749 (2007)
10.1016/j.cma.2006.10.019
UCD-CCM-249
math.NA math.FA
null
We investigate degenerate saddle point problems, which can be viewed as limit cases of standard mixed formulations of symmetric problems with large jumps in coefficients. We prove that they are well-posed in a standard norm despite the degeneracy. By wellposedness we mean a stable dependence of the solution on the right-hand side. A known approach of splitting the saddle point problem into separate equations for the primary unknown and for the Lagrange multiplier is used. We revisit the traditional Ladygenskaya--Babu\v{s}ka--Brezzi (LBB) or inf--sup condition as well as the standard coercivity condition, and analyze how they are affected by the degeneracy of the corresponding bilinear forms. We suggest and discuss generalized conditions that cover the degenerate case. The LBB or inf--sup condition is necessary and sufficient for wellposedness of the problem with respect to the Lagrange multiplier under some assumptions. The generalized coercivity condition is necessary and sufficient for wellposedness of the problem with respect to the primary unknown under some other assumptions. We connect the generalized coercivity condition to the positiveness of the minimum gap of relevant subspaces, and propose several equivalent expressions for the minimum gap. Our results provide a foundation for research on uniform wellposedness of mixed formulations of symmetric problems with large jumps in coefficients in a standard norm, independent of the jumps. Such problems appear, e.g., in numerical simulations of composite materials made of components with contrasting properties.
[ { "created": "Mon, 9 Apr 2007 06:27:33 GMT", "version": "v1" } ]
2010-06-03
[ [ "Knyazev", "Andrew V.", "" ] ]
07
[ 1.004382610321045, -0.33024993538856506, -0.6577543020248413, 0.40146443247795105, -0.6342669725418091, 0.5209875702857971, -0.12498899549245834, -0.7594960927963257, -1.3461127281188965, -0.0433342270553112, -0.947537362575531, 0.11805842071771622, 0.5607945322990417, -0.9214401245117188, 1.0043681859970093, 0.0648966133594513, 0.6556858420372009, 0.14045561850070953, -1.4895349740982056, 0.10843364149332047, -0.2540256083011627, 1.1987165212631226, -0.3755582571029663, 0.09283000230789185, -0.40425771474838257, -1.158887267112732, 0.07469646632671356, 1.1457488536834717, -0.860317051410675, 0.7787432670593262, 2.155156135559082, -0.2184567004442215, -0.6802297234535217, 0.18270529806613922, -0.3774383068084717, 0.06801055371761322, -0.25091931223869324, -0.574772298336029, -0.20447105169296265, 0.7009638547897339, 0.49465411901474, -0.023037154227495193, -0.23758268356323242, 0.20348699390888214, -1.3450002670288086, -0.9498454332351685, 0.02299344353377819, 0.0895143374800682, 0.5012956261634827, 0.35186922550201416, 0.5548143982887268, 0.2229081392288208, 0.03565507382154465, -1.7489261627197266, 1.0044828653335571, -0.0013847259106114507, -1.4297219514846802, 0.5627567768096924, 0.6676362752914429, 0.16420669853687286, -0.32917338609695435, -0.14622336626052856, 1.2807623147964478, -0.14674358069896698, 0.5434678792953491, 0.9480162262916565, -0.7004850506782532, 1.4550637006759644, 0.4278404712677002, 1.3513762950897217, 0.13541831076145172, -0.6842678785324097, -0.9695731401443481, 0.2965991497039795, -0.867594301700592, -1.0817097425460815, 0.20681637525558472, -0.8928642868995667, -0.16427956521511078, -0.9510672092437744, -0.2068118005990982, -0.63246089220047, 0.5210443735122681, -0.6762881875038147, -0.20177625119686127, 0.5723155736923218, -0.23091129958629608, -0.13408124446868896, -0.7314467430114746, 0.6695919632911682, 0.45260441303253174, -0.14778144657611847, 1.2457311153411865, 0.47940200567245483, -0.7751736044883728, -0.2561071813106537, 0.2218199372291565, -0.5556027889251709, -0.2529299557209015, 0.09291967749595642, 0.0410379022359848, -0.4897659122943878, 0.918196439743042, 0.42844292521476746, -0.5403327941894531, -0.21355390548706055, 0.953762948513031, 0.07733525335788727, 0.610994815826416, -0.5003556609153748, 0.17142325639724731, -1.1710745096206665, 1.4301879405975342, -0.07477182149887085, -0.8822630047798157, 0.18392498791217804, -0.16453631222248077, -0.5607336163520813, -0.6023508906364441, -0.5062641501426697, 0.7781798243522644, 0.6048495769500732, 0.21317429840564728, 0.864286482334137, 0.4802020192146301, -0.6646489500999451, -0.8527392745018005, -0.4631197452545166, -0.1361944079399109, 0.11345794051885605, -1.4647760391235352, -0.40867388248443604, -0.43813833594322205, 0.1799706518650055, -0.5010588765144348, 0.38641372323036194, 0.6245327591896057, 0.1653134524822235, -0.33089184761047363, -0.2403089553117752, 0.9812647104263306, 0.14205630123615265, -0.5155056118965149, 0.8865960836410522, 0.07246904820203781, -1.0752897262573242, 1.0233466625213623, 1.2497080564498901, 0.20069138705730438, 1.3851860761642456, -0.45773643255233765, -0.8922217488288879, -0.3062601685523987, 0.5458226799964905, 0.20550012588500977, -0.09813389927148819, -0.8152787089347839, -0.5940552353858948, -1.2131530046463013, 1.0595366954803467, 1.9052696228027344, -0.49457940459251404, 0.4542248845100403, 0.3745978772640228, -0.04856851324439049, -0.07792635262012482, 0.040762223303318024, -0.30312952399253845, 0.12051892280578613, -0.08170005679130554, -0.9695975184440613, -0.7374363541603088, -1.2227593660354614, -0.33127662539482117, -0.2479655146598816, 1.3877522945404053, 0.45305129885673523, -0.7347707748413086, 0.6747089624404907, 0.2823769450187683, -2.0089473724365234, -1.3717528581619263, -0.2444881945848465, 0.3687645494937897, 0.43396684527397156, 0.38720065355300903, 0.7126232981681824, -0.08470574021339417, -0.5015419721603394, -0.08153285086154938, -0.26700839400291443, 0.4387426972389221, -1.508254885673523, 0.9416231513023376, -0.5000750422477722, 0.7637355327606201, 0.012663539499044418, 1.3322033882141113, -0.6154404878616333, 0.3678675591945648, 1.3192414045333862, 0.41259458661079407, -0.16613070666790009, -0.5730589628219604, -1.1161187887191772, -0.39603912830352783, 0.1445753276348114, 0.593235433101654, -0.628667950630188, -0.12821273505687714, 0.4300422966480255, -0.006200004369020462, -0.6604107022285461, 0.30136534571647644, 1.728563666343689, -1.2472442388534546, -1.671507477760315, -0.06763715296983719, -0.44997888803482056, 0.6251285076141357, 0.8532031178474426, 0.2840556502342224, -0.09877363592386246, -0.2167336791753769, -0.604237973690033, 0.07223810255527496, 0.06311805546283722, -0.9945014119148254, -0.6237172484397888, 0.3588954508304596, 0.5959057807922363, 0.2890765368938446, 0.371694415807724, 0.16782967746257782, -0.5236427783966064, 0.6598432064056396, -0.1699836105108261, -0.3311392068862915, 0.19692516326904297, -1.194045066833496, 0.02554505318403244, -0.519518256187439, -0.27398115396499634, -2.088897466659546, -0.40117698907852173, 0.3240451216697693, 0.916410505771637, 0.9415044784545898, -0.998778223991394, 0.9010124802589417, -1.2130250930786133, -0.5420646071434021, -0.34530970454216003, -0.5410727858543396, 0.4265892803668976, 0.49814361333847046, 0.11159248650074005, 0.14818120002746582, -2.148848056793213, -0.041663363575935364, -0.7556977272033691, -0.3873603045940399, 0.28272658586502075, 0.46760305762290955, 0.0795428529381752, -0.4793667793273926, 0.5143208503723145, 0.02571498416364193, -0.04390260577201843, -0.7219967842102051, -0.12475660443305969, 0.9190937280654907, -1.8559393882751465, 0.33617785573005676, -0.5925843715667725, 0.06927800923585892, 0.389333575963974, 0.3561845123767853, 0.9646893739700317, -0.8185417056083679, 0.413714200258255, 1.3188754320144653, -0.29402634501457214, -0.885653018951416, 0.4153621196746826, -1.0895273685455322, 0.38985681533813477, 0.31659722328186035, 0.8980903029441833, -0.43866580724716187, -1.4754432439804077, -0.0052718548104166985, 1.5659959316253662, 0.013362721540033817, -0.45353418588638306, 0.07268793135881424, 0.7291790843009949, -0.8328664302825928, 0.7030342817306519, -0.07936656475067139, 0.1416235715150833, 0.2758261263370514, -0.07896564900875092, 0.5467367172241211, 0.7308751344680786, -0.28032800555229187, -0.14010664820671082, 0.32428687810897827, -0.5977625250816345, 0.18754824995994568, 1.6553404331207275, -0.4513297379016876, -0.5353577136993408, -0.6873842477798462, 1.2034671306610107, -0.8434181809425354, 0.5336611866950989, 0.2270023226737976, 0.36147540807724, -0.40942052006721497, -0.13489006459712982, -0.012790518812835217, -0.38553673028945923, 0.30766066908836365, -0.26581937074661255, 0.29257193207740784, -0.7720320820808411, -0.3087916374206543, 0.6275237202644348, 2.2305662631988525, -0.511360764503479, 0.3822464942932129, -0.09514744579792023, 0.7506295442581177, 0.2248847484588623, 0.06854470819234848, -0.2835092842578888, -0.496345579624176, 0.7025940418243408, 0.2815098762512207, -0.6733220815658569, 1.3094680309295654, -0.009154309518635273, -0.7521693706512451, -0.9323103427886963, -0.16835413873195648, 0.1385161429643631, -0.8727080821990967, -0.6786688566207886, 1.2828412055969238, 0.28255605697631836, -0.26774758100509644, -1.0035525560379028, 0.2556467354297638, 0.4941253066062927, -1.0069429874420166, -0.03314455971121788, 0.2131466120481491, -0.10525133460760117, 1.5949890613555908, 0.5554625391960144, 0.6600604057312012, 0.45140933990478516, -0.18943002820014954, 0.7831411361694336, -0.8174939155578613, -0.5041907429695129, -0.7373120784759521, 0.5585147738456726, 0.09042519330978394, 0.4213940501213074, -0.3031579852104187, 0.06579509377479553, 0.5290271043777466, -1.6384390592575073, 0.6976673007011414, -1.5158251523971558, 0.9278339743614197, 0.21035462617874146, 0.6063127517700195, 0.15556448698043823, 0.14977483451366425, -0.569950520992279, -1.092508316040039, 0.27676570415496826, 0.18895670771598816, 0.5877877473831177, -0.3321022689342499, -0.5978242754936218, 0.0017025817651301622, 0.6144503951072693, -0.10377536714076996, 0.7299978733062744, 0.22254881262779236, -0.06343403458595276, 0.7468886971473694, 0.08035898208618164, -0.0035368006210774183, 0.5950273871421814, 1.0024676322937012, -0.43654972314834595, 0.23357070982456207, -0.29803088307380676, -1.0743699073791504, -1.177488923072815, -0.6964408159255981, -1.2680253982543945, 1.84397292137146, 0.5309155583381653, 0.30147701501846313, -0.4249609708786011, -0.2541864514350891, 0.24721378087997437, -1.024497628211975, -0.7450543642044067, 0.20558151602745056, 0.15893207490444183, -0.8044712543487549, 1.4412264823913574, -0.4174950420856476, 0.04180939123034477, -0.6266358494758606, 0.1486331820487976, 0.02275972068309784, 0.5061293840408325, -0.2696033716201782, -0.14939337968826294, -0.3293619751930237, -0.9741384387016296, -0.3306010365486145, 0.96479731798172, -1.2711784839630127, -0.6952071189880371, -0.33342817425727844, 0.10788456350564957, -0.6731649041175842, 0.6563108563423157, -0.028453391045331955, -1.3359304666519165, -0.09338017553091049, 0.40136829018592834, 0.9855882525444031, 0.009415650740265846, 0.5831615328788757, 0.7083718776702881, 0.7746042609214783, -0.8033304214477539, 1.693429708480835, 0.9819552302360535, 0.38383716344833374, 0.09428320825099945, -0.9357355833053589, 1.3417679071426392, 0.6452541947364807, 0.04426952451467514, 0.8285422325134277, -0.5535913109779358, 0.23651106655597687, -0.9950000643730164, -0.10482445359230042, -1.4953947067260742, -1.2083152532577515, -0.3590184450149536, 0.6381221413612366, 1.428637146949768, -1.4537999629974365, -0.044182468205690384, 0.8573461771011353, -0.036807864904403687, -0.816993772983551, 0.7707427740097046, 0.6249776482582092, -0.635969340801239, 0.35769224166870117, -0.09332271665334702, -0.42507436871528625, 0.935765266418457, -0.03572004660964012, -0.16766808927059174, 0.39805909991264343, 0.5416544079780579, 0.7554639577865601, 0.1008019670844078, 0.6922651529312134, -0.48653581738471985, -0.11719416826963425, -0.7953140735626221, -0.9197017550468445, 0.2768438756465912, -1.0145734548568726, -0.7783272862434387, 0.4620153605937958, 0.2516528069972992, -0.5956554412841797, -1.0549705028533936, 0.2547772526741028, 0.08256762474775314, 0.6030334830284119, 0.3384491205215454, -0.19052886962890625, 0.5858665108680725, 0.9853843450546265, 0.19046291708946228, -1.177454948425293, -0.04525582492351532, 1.0032378435134888, -0.707460880279541, 0.7642882466316223, 0.10723822563886642, -0.5400275588035583, -1.0625455379486084, -0.9673939347267151, -0.016427764669060707, -0.5358609557151794, -1.2071046829223633, 0.17832525074481964, -0.29218730330467224, -4.003424167633057, -1.0225356817245483, 0.35811981558799744, -0.1128096655011177, -0.7532715797424316, -0.15159137547016144, -1.6327546834945679, -0.4922298491001129, -0.6010093092918396, -0.28757670521736145, 0.24335771799087524, -1.2706199884414673, -1.1680810451507568, -0.06507375091314316, 0.10231051594018936, -0.176364928483963, 0.43132269382476807, -0.32777929306030273, -0.6027947068214417, 0.6920024752616882, 1.1609972715377808, -0.8417192697525024, 0.9013197422027588, -0.21413035690784454, -0.4252764582633972, 0.3761071562767029, -0.48046958446502686, 0.6835172772407532, 0.3426685035228729, 1.1554287672042847, -0.05162574723362923, 0.44984298944473267, -0.18565861880779266, -0.1960984468460083, 0.06783716380596161, -0.23348747193813324, 0.01780788227915764, -0.11290478706359863, -0.01656377501785755, -7.322253227233887, 0.25994816422462463, 0.6448677182197571, 0.7885790467262268, 0.09522559493780136, -1.2927496433258057, -0.6311943531036377, -0.203574076294899, -0.9266785383224487, 1.2557239532470703, 1.2633179426193237, -0.05844685807824135, 0.3577197194099426, -0.9836866855621338, 0.3001054525375366, -0.04595915228128433, 0.21950189769268036, -0.16516409814357758, -1.6199989318847656, 0.2839808166027069, -0.9434914588928223, -0.003710581222549081, 0.42945536971092224, 0.4814526438713074, 1.1621841192245483, 0.5894010663032532, -0.27175673842430115, -0.16526496410369873, 0.07148313522338867, -0.06172151491045952, -1.3596144914627075, -1.5349866151809692, -0.06780590116977692, -0.17064973711967468, -0.6024067997932434, -1.7511104345321655, -0.28223949670791626, -0.48590511083602905, -0.410614550113678, 0.5254088044166565, -0.3549721837043762, -0.7301974892616272, 0.6808806657791138, 0.1850067675113678, -0.04538028687238693, -0.4977109134197235, -0.11846688389778137, -0.17799842357635498, -0.3812587559223175, -0.2832949161529541, -1.5705801248550415, -0.2164003998041153, 0.8024330139160156, 0.1251916140317917, -0.25356602668762207, 1.4169796705245972, -0.0005153936217539012, -1.8673198223114014, 0.6522850394248962, -0.36698007583618164, -0.9044740200042725, -0.8344425559043884, 0.37238815426826477, 1.2123255729675293, -1.0405113697052002, 1.4831427335739136, 0.20908048748970032, 0.5709484815597534, -0.12738007307052612, -0.9218416810035706, -0.6723269820213318, -0.7853155732154846, 1.1562321186065674, -0.781481146812439, -0.29329821467399597, -0.45363661646842957, 0.5192441940307617, 1.4574719667434692, 0.38275691866874695, 0.64005047082901, -0.0617375373840332, 1.3474774360656738, 0.9812262058258057, 0.44038519263267517, -0.6627098321914673, 0.7924231290817261, -0.137108713388443, 0.6824368834495544, 0.5519300103187561, -0.08975035697221756, -0.8380772471427917, 0.4238148331642151, 0.21295611560344696, -0.47318798303604126, -0.8191333413124084, 0.3058079481124878, -0.14063158631324768, 0.1318322718143463, -0.309352844953537, -0.2380189597606659, -1.328179121017456, -0.8465181589126587, 2.2323455810546875, 1.150939702987671, 0.5695566534996033, 0.3612236976623535, -1.1114575862884521, -0.37924620509147644, 1.1002804040908813, -0.4119427800178528, 0.09642162173986435, 0.24471645057201385, 0.4142182767391205, -0.9222094416618347, 0.08552425354719162, 0.588603138923645, -0.21683861315250397, -0.9049816131591797, 0.5176425576210022, -0.014080757275223732, -1.0752673149108887, 0.11176661401987076, 0.3523455858230591, 1.501847505569458, 0.6325865983963013, -0.5043132305145264, -0.5671147704124451, -0.6479215025901794, -0.7976794242858887, 0.01438952423632145, -0.13558387756347656, -1.0825343132019043, -0.6998807787895203, -0.11613741517066956, 0.1941109448671341, -0.7164552807807922, -0.45498141646385193, 0.32079824805259705, 0.5461029410362244, 1.1649755239486694, -0.1296299695968628, -0.82868891954422, -0.8760925531387329, 0.6535729169845581, 0.21179282665252686, 0.3087845742702484, 0.30526599287986755, 0.37940213084220886, -0.6180149912834167, -0.40987980365753174, 1.2879998683929443, -0.5147107839584351, 0.741309404373169, 0.5672458410263062, 0.45430558919906616, -0.9265819191932678, 0.2836746871471405, -1.234762191772461, 0.4476832449436188, -0.6282635927200317, -1.4582613706588745, 0.15114597976207733, -0.05980653315782547, 0.9283560514450073, -0.28935983777046204, -0.39158961176872253, 0.5229525566101074, -0.17762090265750885, -1.1324245929718018, -0.8935250043869019, 0.5016192197799683, -0.7148329615592957, 0.7841177582740784, 0.039162762463092804, 0.0749855637550354, 0.3713192641735077, -0.7507173418998718, -0.6483820080757141, -0.3900015950202942, 0.09169666469097137, 0.42273619771003723, 0.7635928392410278, -0.6003950834274292, 0.03401502966880798, 0.47133591771125793, 1.6329429149627686, -0.8301362991333008, -0.06747916340827942, 0.3984898030757904, 1.1211888790130615, 0.10255463421344757, -0.20259477198123932, -1.1346473693847656, 0.0982256531715393, -0.5664928555488586, -0.13022668659687042, -0.7208428978919983, -0.8176707029342651, -0.5939409136772156, -1.2496094703674316, 1.3946162462234497, 0.8279028534889221, -1.4498631954193115, -0.017893105745315552, 0.6805450320243835, -1.2103420495986938, -0.31444960832595825, -0.1080557331442833, 1.0121816396713257, 0.16922762989997864, 0.041491515934467316, -0.1592867225408554 ]
1,065
0704.1067
Noam Soker
Noam Soker and Alon Hershenhorn (Technion, Israel)
Expected Planets in Globular Clusters
Accepted by MNRAS
null
10.1111/j.1365-2966.2007.12272.x
null
astro-ph
null
We argue that all transient searches for planets in globular clusters have a very low detection probability. Planets of low metallicity stars typically do not reside at small orbital separations. The dependance of planetary system properties on metallicity is clearly seen when the quantity Ie=Mp[a(1-e)]^2 is considered; Mp, a, e, are the planet mass, semi-major axis, and eccentricity, respectively. In high metallicity systems there is a concentration of systems at high and low values of Ie, with a low-populated gap near Ie~0.3 M_J AU^2, where M_J is Jupiter's mass. In low metallicity systems the concentration is only at the higher range of I_e, with a tail to low values of Ie. Therefore, it is still possible that planets exist around main sequence stars in globular clusters, although at small numbers because of the low metallicity, and at orbital periods of >~10 days. We discuss the implications of our conclusions on the role that companions can play in the evolution of their parent stars in globular clusters, e.g., influencing the distribution of horizontal branch stars on the Hertzsprung-Russell diagram of some globular clusters, and in forming low mass white dwarfs.
[ { "created": "Mon, 9 Apr 2007 07:02:24 GMT", "version": "v1" }, { "created": "Wed, 25 Jul 2007 12:52:34 GMT", "version": "v2" } ]
2009-11-13
[ [ "Soker", "Noam", "", "Technion, Israel" ], [ "Hershenhorn", "Alon", "", "Technion, Israel" ] ]
07
[ 0.7272038459777832, -0.35554808378219604, 0.2897048890590668, -0.08662644028663635, -1.0730139017105103, -0.7107632160186768, -1.456505537033081, -0.04729492589831352, -0.5141879320144653, -0.7254210710525513, -0.2504345178604126, 1.1589609384536743, 1.3633249998092651, 0.8654861450195312, 0.36219534277915955, -0.782556414604187, 0.7810685634613037, -0.3886485993862152, -1.2756669521331787, -0.5675279498100281, 0.8412426114082336, 0.48471346497535706, 0.5139273405075073, -0.2543722987174988, 0.012378932908177376, -0.522910475730896, 0.15728731453418732, 0.15118730068206787, 1.96268892288208, -1.6828687191009521, -0.846774697303772, -0.28661563992500305, -0.7262547016143799, -0.8714549541473389, 0.3628661334514618, -0.3156484365463257, 0.5406172871589661, -1.499879240989685, -0.8935966491699219, -0.18470875918865204, 0.8404366970062256, 0.25050780177116394, -0.006840273272246122, -0.1105223149061203, -0.3641514480113983, -1.751327395439148, 0.2602064609527588, -0.142038494348526, -1.0380792617797852, 0.3027411997318268, -0.6692529320716858, 0.3951270580291748, 0.3371196687221527, 0.129194438457489, 0.6026184558868408, -0.25157293677330017, -0.9661694169044495, -0.17978502810001373, 1.0350981950759888, 0.8188546895980835, -0.06641919165849686, 0.09742681682109833, 0.2698856592178345, -1.0067952871322632, -0.2860379219055176, -0.06475301086902618, 0.5701720118522644, 0.4885886013507843, -1.5454469919204712, -0.7735224366188049, 0.6584398746490479, -0.8616489171981812, -0.7305604815483093, 1.7332121133804321, -0.7106579542160034, -1.8268823623657227, 0.7903173565864563, 0.60875403881073, -0.5113090872764587, -0.38589179515838623, 0.9058510065078735, 2.0545945167541504, -1.0891072750091553, -0.8776999711990356, -0.9441738128662109, 0.1773412674665451, -0.6020953059196472, 0.5511276125907898, 0.9018615484237671, 0.28060540556907654, 0.1517665535211563, 0.8039222359657288, -0.2784953713417053, -0.6175932288169861, 0.6403288245201111, 0.6975796818733215, -0.4992724061012268, 0.39704006910324097, 0.027630047872662544, 0.2183728963136673, -0.8054181337356567, -0.9715468287467957, 0.6357800364494324, -0.7719367742538452, -0.7436568140983582, -0.5646014213562012, 0.3947216272354126, -2.4701004028320312, 0.4095609784126282, 0.023667825385928154, 0.9739484190940857, -0.5179945826530457, -1.3829941749572754, -0.1021663248538971, -0.7479104399681091, 0.36036986112594604, -2.4018301963806152, -0.5250243544578552, 0.17793917655944824, -0.7308647036552429, 0.8182961940765381, 0.6075323820114136, 0.42103680968284607, 0.5415067672729492, 0.7991572022438049, -0.40173622965812683, -0.16870146989822388, -0.12314630299806595, 0.14692655205726624, -0.10829371958971024, 0.6466293334960938, 0.626701295375824, -0.10669693350791931, 1.0164374113082886, -1.4416558742523193, -0.1084086075425148, -1.4459190368652344, 0.46110060811042786, 0.11972343921661377, -0.9340144991874695, -0.8013789653778076, 0.14091342687606812, -0.4494016468524933, 0.30115383863449097, 0.06750279664993286, 0.9294844269752502, -0.18256916105747223, -0.30942001938819885, 0.05676504224538803, 1.6501866579055786, 0.6618481874465942, 0.15516851842403412, 0.35463428497314453, -0.24305535852909088, 1.2949429750442505, 0.7658149003982544, -0.18499751389026642, 0.31005048751831055, 0.21870329976081848, 1.572677493095398, -0.8148499727249146, 0.6921668648719788, 0.8787267804145813, -0.7741867303848267, 0.6952174305915833, -0.9000576138496399, 0.09176945686340332, -0.14135122299194336, -0.8790162801742554, 0.5288471579551697, 0.4905405640602112, 0.7734419107437134, 0.3111044764518738, 1.2031170129776, -0.07564882189035416, -1.3110921382904053, -0.46434924006462097, -0.45379430055618286, -1.116113305091858, -0.22576136887073517, 0.37215906381607056, -0.31543275713920593, 0.08910573273897171, -0.3744761347770691, 0.14400547742843628, 0.6031147241592407, -0.08147328346967697, -1.0491833686828613, 0.46126461029052734, -0.29948970675468445, -0.32312414050102234, -0.4762336015701294, -0.8708168864250183, -0.9300609827041626, -0.2808728516101837, -0.22493073344230652, 0.5626725554466248, 0.24577584862709045, 1.0614835023880005, 0.8386976718902588, -0.7108508944511414, -0.1813885122537613, -0.8588623404502869, 1.1944341659545898, -0.07037985324859619, -1.21139395236969, 1.4278910160064697, 0.9270859956741333, 0.3788732588291168, 0.6416599750518799, -0.5426380038261414, 0.36877310276031494, -0.07319840788841248, -0.0787222757935524, 0.8031007051467896, -0.2590153217315674, 0.5734516382217407, -1.3190804719924927, -0.10863503813743591, -0.29860228300094604, -0.5184475779533386, 1.4790784120559692, 0.9801811575889587, 0.15203188359737396, -0.3410768210887909, 0.3048195242881775, 0.3140581250190735, -1.396150827407837, -0.9908620119094849, 0.4783956706523895, -0.7610982060432434, 0.44946202635765076, -0.8138862252235413, -0.11008500307798386, 1.7984156608581543, -1.3541594743728638, -0.36221086978912354, 0.580764889717102, 0.7917457818984985, 0.6528961062431335, 1.0105654001235962, -0.6608947515487671, 0.12500569224357605, -0.864835262298584, -0.8149381279945374, 0.03473294898867607, 0.9033280611038208, 0.053952209651470184, -0.8640375733375549, 0.1420164406299591, -0.7315755486488342, -0.9626494646072388, 0.4643322825431824, -1.147406816482544, 0.5705716013908386, -0.788460373878479, -0.5563581585884094, 0.22219038009643555, -1.314529299736023, 1.351880431175232, -0.6128146052360535, 0.2637033462524414, 1.1000206470489502, 1.2352352142333984, 0.188174769282341, 0.36542585492134094, 0.6731733083724976, -1.042580246925354, 0.8629894256591797, 0.5253254771232605, -0.24654854834079742, -0.28620031476020813, 0.5352458357810974, 0.686732828617096, -0.6094512939453125, 0.9142779111862183, -0.3163847327232361, 0.038290515542030334, -0.10627216100692749, -2.641174077987671, 0.39025455713272095, 0.1827661097049713, -0.2270381599664688, 1.459454894065857, 0.1360616236925125, -0.9579175710678101, 0.6871664524078369, 0.543065071105957, -0.23647664487361908, -0.682854413986206, 0.13113756477832794, -1.0275723934173584, 0.36468636989593506, 0.10180594027042389, -0.5737579464912415, 1.1318976879119873, 0.8430124521255493, 0.13473594188690186, 0.4593934416770935, -0.7425609827041626, -0.3985407054424286, 0.8723276853561401, -0.19677715003490448, 0.0085454061627388, 0.19429408013820648, -0.9261396527290344, -0.9158920049667358, 0.22352971136569977, 0.029856005683541298, 0.32111573219299316, -0.44063979387283325, -0.9441167116165161, -0.7567756772041321, -0.5413459539413452, 0.01644291542470455, 0.6553041338920593, -0.9253879189491272, 0.08607444912195206, 0.09467477351427078, -0.8538609147071838, 0.7739517688751221, -0.11878620833158493, 1.31721830368042, 0.004106378648430109, -1.2101200819015503, -0.3327610492706299, -1.5611789226531982, 0.0697750598192215, -0.47815465927124023, 0.8140865564346313, 0.25246644020080566, 0.5945934057235718, 0.5496793389320374, -0.16999103128910065, -0.8277641534805298, -0.2299525886774063, -0.3276713192462921, 0.41878893971443176, 0.41849032044410706, 0.9007230997085571, 1.284882664680481, -0.1192711666226387, 0.1879298985004425, 0.9033651351928711, 0.07858788222074509, -0.005867263302206993, -0.8490415811538696, 0.17328539490699768, -0.9423443675041199, 0.6196032762527466, -0.3274039030075073, -0.6532937288284302, 0.026418374851346016, -0.8356986045837402, 0.9547863006591797, -0.1818675696849823, -0.01392388716340065, 1.2888051271438599, -1.2147800922393799, -0.699562668800354, -0.8586434125900269, 0.27743828296661377, 0.08130571991205215, -0.2827933728694916, 0.2876356542110443, -0.6119844317436218, 0.21888548135757446, -0.8805885910987854, -0.307832270860672, -0.05051380395889282, -1.3012553453445435, -0.3415089249610901, 0.5853860378265381, 0.11812396347522736, 1.3964840173721313, 0.08114409446716309, 0.2610146403312683, 0.36489182710647583, 0.9792198538780212, 0.10068117082118988, -0.37514767050743103, 1.3569670915603638, -0.4447292685508728, -0.25906527042388916, -0.21566635370254517, -0.4602116048336029, -0.050391342490911484, 1.100340485572815, -0.14385069906711578, -0.12071715295314789, -0.5233908891677856, -1.204301118850708, 0.26156967878341675, 0.6610326766967773, 0.16148777306079865, 1.7585563659667969, 1.1337172985076904, -0.018531369045376778, 0.7185275554656982, 0.38776895403862, 0.9354663491249084, -0.18610355257987976, -0.3245854377746582, -0.6008933782577515, 0.2272961139678955, -0.5957554578781128, 0.8403291702270508, -0.3118879199028015, -0.8220930695533752, -0.10206843167543411, -1.498047113418579, -1.2457408905029297, 0.08994873613119125, -0.13343295454978943, -0.5631065964698792, 1.225257396697998, 0.7606337666511536, 0.591954231262207, 0.3084039092063904, -0.5195015668869019, 0.42794927954673767, -0.0175885371863842, -0.814886748790741, 1.5041383504867554, -1.0398774147033691, 0.761368453502655, -1.154201865196228, 0.3006020784378052, 0.4815114438533783, -0.22877176105976105, 0.860542893409729, -1.400795340538025, 0.5467774271965027, 0.30434560775756836, 0.6967464089393616, 0.13259939849376678, -0.32508501410484314, -0.43538418412208557, -0.10387514531612396, -0.7750608325004578, -0.2363647222518921, -0.8871967792510986, 0.8581200838088989, -0.21544091403484344, 0.5556752681732178, 0.003132588928565383, 0.28631341457366943, -0.11087590456008911, -0.38569486141204834, 1.6837695837020874, 0.7252085208892822, 1.066889762878418, -0.8806344270706177, 0.07647935301065445, 0.6206135153770447, 0.540131151676178, 0.5649354457855225, -0.5287479758262634, -1.561017394065857, -0.5945760011672974, -0.6296049952507019, -0.40464112162590027, 0.5003190040588379, -0.6057710647583008, 0.07763838022947311, 0.20199793577194214, -0.7659947276115417, -0.2792778015136719, 1.4258087873458862, -0.7606139183044434, 0.5204766392707825, 0.01660887897014618, -0.7135084271430969, -1.2384426593780518, 0.6574497222900391, 1.4105334281921387, -1.1666288375854492, -0.14503532648086548, 0.3070700168609619, -0.8811004161834717, 0.09162825345993042, -1.0001729726791382, -1.236309289932251, 0.5193760395050049, -0.4407612681388855, -0.7690899968147278, 0.17561215162277222, 1.1014916896820068, 0.7347077131271362, -0.29233914613723755, 0.255196213722229, 0.6480699181556702, 0.2917063236236572, 1.1580959558486938, -0.6669610738754272, 0.7544705271720886, -0.8794345259666443, -0.5833442807197571, -0.7021181583404541, 0.5768941044807434, 0.3098475933074951, 0.1726471483707428, -0.3730696141719818, -1.6741862297058105, -1.2976021766662598, -0.4529429078102112, -0.12992489337921143, -0.1424306333065033, 0.03637692332267761, 0.5460423231124878, 0.3771064877510071, 0.5731157064437866, 0.5247626900672913, -0.06746761500835419, -0.24071069061756134, -0.20125353336334229, 0.6453112363815308, -2.3036751747131348, 1.193579077720642, -1.809712529182434, -0.09511470049619675, -0.8162280917167664, -0.995245099067688, 0.7965172529220581, -0.520925760269165, 0.5262463092803955, 1.1035383939743042, -0.35812973976135254, -0.7044278383255005, 1.0546627044677734, -0.5406531095504761, -0.32513442635536194, -0.40782275795936584, -0.5247995257377625, 1.3466356992721558, -0.9229019284248352, -0.0357581228017807, 1.0504028797149658, 0.041635140776634216, -1.3906657695770264, -0.20636974275112152, 0.6115143895149231, -0.28644245862960815, -0.6741079092025757, 0.49981433153152466, -0.31072795391082764, 0.546454131603241, -0.9371811747550964, -1.640425682067871, -0.598970890045166, -1.1855579614639282, 0.3971612751483917, 0.2865542471408844, -0.14166156947612762, 0.06214659661054611, -1.0214484930038452, -6.27918004989624, 0.4652397930622101, -0.2937540113925934, -1.8026636838912964, -0.00586065836250782, -0.6981987953186035, -0.6306627988815308, 0.3243885636329651, -0.7316306829452515, -1.4612648487091064, -0.6315954923629761, 0.11107824742794037, -0.5005749464035034, -0.1266975700855255, -0.8942397832870483, -0.41293391585350037, -0.3099636733531952, -1.7072899341583252, -0.6327458024024963, 0.5097420811653137, -0.9673672318458557, -0.5938998460769653, -0.21334388852119446, -0.45178502798080444, 1.607751727104187, -0.1133422926068306, 0.3910888135433197, -0.13800989091396332, -0.02951223962008953, 0.7658954858779907, 0.07387413084506989, 0.994089663028717, 0.4302377998828888, -0.29694071412086487, 0.8895761966705322, 0.7860087752342224, -0.553726851940155, 0.7045327425003052, 0.6755079627037048, 0.16373096406459808, -0.30313703417778015, 0.5831226706504822, 0.7922048568725586, 1.1945624351501465, -0.643884003162384, 0.09311511367559433, 0.9332265853881836, -1.1151586771011353, -0.9014599323272705, -0.42996540665626526, -0.404495507478714, -0.38743728399276733, 1.639573574066162, -0.8589882254600525, -0.057851143181324005, 0.5258493423461914, -0.7377355694770813, -0.12359683960676193, 0.9238455295562744, -0.6370887160301208, -0.37094932794570923, 0.40648528933525085, -1.4948867559432983, -0.16956572234630585, 1.0038260221481323, 0.8364486694335938, -1.065232276916504, 0.07494193315505981, -0.09256330877542496, -0.385200172662735, 0.6708980798721313, 0.22292988002300262, -0.9445140361785889, 0.5722087025642395, 0.3457346260547638, -0.2665870487689972, -0.451313316822052, -0.5196500420570374, 0.06229390203952789, -0.5723509192466736, 1.5639572143554688, 0.5321943759918213, -0.15781526267528534, 0.6278210878372192, -0.6310127973556519, -1.4986366033554077, 0.2235003113746643, -0.409717857837677, -0.8306072950363159, 0.1627057045698166, -0.9143576622009277, 0.2799067795276642, 0.1793433427810669, -0.008432833477854729, -2.014273166656494, -0.4426186680793762, 0.4927677512168884, -0.04618576914072037, -0.4325307607650757, -0.2515411972999573, 1.434472680091858, 1.0875484943389893, 1.0849400758743286, 0.55647212266922, 0.16419561207294464, 0.15235155820846558, -1.0276515483856201, -0.5312470197677612, 0.17223751544952393, -1.969184398651123, -0.26611748337745667, 0.725628674030304, -0.618435263633728, -0.6181537508964539, 0.09842867404222488, 0.975818932056427, 0.8905846476554871, 0.009641330689191818, -0.9614489674568176, 0.23781371116638184, 0.17663729190826416, 1.446927785873413, -0.2868657410144806, 0.21925441920757294, 0.7843295931816101, 0.7113508582115173, -0.11420708894729614, -0.14245787262916565, -0.8771299719810486, -0.15189923346042633, 1.0524158477783203, -0.08025340735912323, -0.22360855340957642, -0.9822903275489807, 0.31468039751052856, -0.11553116887807846, -0.18098469078540802, 0.6791889667510986, -1.0458494424819946, 1.1793386936187744, 0.0034205580595880747, -0.03215158358216286, 0.2961280941963196, 0.8009127378463745, 0.5044152736663818, 0.014588387683033943, 0.014405540190637112, 0.8597747087478638, 0.03193478286266327, -0.32317429780960083, -0.8355427980422974, -0.11266277730464935, 1.0451444387435913, 1.080413818359375, -0.06629516929388046, -0.28967157006263733, 0.8137559294700623, -0.5157101154327393, -0.16046054661273956, -0.09501295536756516, -0.2541728913784027, -0.3038310408592224, -0.6738082766532898, -1.1349259614944458, -1.433599591255188, -0.6423851251602173, -0.5999583005905151, 1.4117631912231445, -1.2315644025802612, 0.41812461614608765, -0.1426708698272705, -0.0545097254216671, -0.7222360968589783, 0.9286474585533142, -0.7527501583099365, 0.4906472861766815, 0.24733370542526245, -0.48168331384658813, -0.8723790645599365, -0.8602201342582703, 0.18135914206504822, -1.0533620119094849, 0.33999818563461304, 1.650789499282837, -0.7146976590156555, 0.6061276793479919, -1.6221349239349365, 1.2318755388259888, -0.47817760705947876, 0.9015320539474487, 1.1100022792816162, 0.4221619665622711, -0.9706417322158813, 0.18229421973228455, -0.27532973885536194, -0.5254066586494446, 0.18120639026165009, -0.5970913767814636, 1.082472801208496, -0.7690984606742859, 0.12140946090221405, -0.25536924600601196, 1.0252549648284912, 0.560772180557251, 0.0055749062448740005, -1.2503916025161743, 0.6697412133216858, 0.12617605924606323, 0.5442988276481628, -0.8839686512947083, 0.3736664652824402, 0.961194634437561 ]
1,066
0704.1068
Leo Liberti
Giacomo Nannicini, Philippe Baptiste, Gilles Barbier, Daniel Krob, Leo Liberti
Fast paths in large-scale dynamic road networks
12 pages, 4 figures
null
null
null
cs.NI cs.DS
null
Efficiently computing fast paths in large scale dynamic road networks (where dynamic traffic information is known over a part of the network) is a practical problem faced by several traffic information service providers who wish to offer a realistic fast path computation to GPS terminal enabled vehicles. The heuristic solution method we propose is based on a highway hierarchy-based shortest path algorithm for static large-scale networks; we maintain a static highway hierarchy and perform each query on the dynamically evaluated network.
[ { "created": "Mon, 9 Apr 2007 07:04:19 GMT", "version": "v1" }, { "created": "Wed, 27 Jun 2007 18:17:35 GMT", "version": "v2" } ]
2007-06-27
[ [ "Nannicini", "Giacomo", "" ], [ "Baptiste", "Philippe", "" ], [ "Barbier", "Gilles", "" ], [ "Krob", "Daniel", "" ], [ "Liberti", "Leo", "" ] ]
07
[ 0.5656976699829102, -0.25567567348480225, -1.159036636352539, -0.5503692030906677, 0.1551867127418518, -0.5190525650978088, -0.19303472340106964, 0.5099783539772034, 0.7185167670249939, 0.09081588685512543, 1.467273473739624, 0.9383345246315002, -1.4581007957458496, 1.9491183757781982, 1.190983533859253, 0.7257182002067566, -1.7268595695495605, -0.25057339668273926, -1.3033889532089233, -1.2908079624176025, -0.5073549151420593, -2.6477017402648926, 0.013320643454790115, 1.3924492597579956, 0.07922779023647308, 1.647045612335205, -0.9349463582038879, -0.37792375683784485, 0.29254528880119324, -2.0244579315185547, 0.0449410043656826, -0.7602652907371521, 0.4762921631336212, -0.09472891688346863, -0.1361950784921646, 0.12604011595249176, -0.5912908315658569, 1.2466719150543213, -1.1684067249298096, 0.5050166845321655, -0.5820075273513794, 0.3044488728046417, 0.33540982007980347, -0.9530234932899475, -0.13524967432022095, -0.16541242599487305, -0.6629921793937683, 0.17069797217845917, 0.18129388988018036, 0.2840721905231476, 0.3057703673839569, 0.062052611261606216, 0.9915941953659058, -0.23745942115783691, 0.2899390161037445, 0.7062145471572876, 1.0564950704574585, -0.47586262226104736, -0.11500287055969238, -0.36623677611351013, 0.1659487932920456, 0.15957877039909363, 0.7794594168663025, -0.697670578956604, -1.0511488914489746, 0.5579508543014526, 1.53387451171875, 0.7288161516189575, 1.7715866565704346, 0.05372776836156845, -0.20178335905075073, -0.5776026248931885, -0.8555963635444641, 0.2650139629840851, 1.4183398485183716, 0.25845465064048767, -0.07684516161680222, -0.7744870781898499, 0.7940106391906738, -0.657793402671814, 1.6722822189331055, -0.1796494573354721, -0.2037145495414734, 0.9853873252868652, 0.5449109077453613, -0.7524328231811523, 0.1719101369380951, -1.1158174276351929, -0.15762150287628174, 1.2015087604522705, 0.5272923111915588, -0.5468433499336243, -0.3736482560634613, 0.16797320544719696, -0.6556992530822754, -0.028642121702432632, 0.020448505878448486, 0.8608777523040771, -0.45285066962242126, 0.9603001475334167, -0.43900051712989807, -0.0645991638302803, 0.769237756729126, -0.14842304587364197, 1.3100872039794922, -0.1351512372493744, 0.10248136520385742, 1.27257239818573, -0.151773601770401, -0.5916258096694946, 0.8370745778083801, 1.1300369501113892, -0.857105553150177, 0.1428084671497345, -1.4266910552978516, 0.9896184802055359, -0.7990826964378357, 0.12151150405406952, -1.4189262390136719, 0.9617395997047424, 0.8489284515380859, 0.29917654395103455, -1.0496290922164917, 0.6233755946159363, -0.7309117317199707, -0.636203944683075, -1.5030933618545532, 0.5927383303642273, -0.34056979417800903, -0.05763758718967438, 1.0408132076263428, -0.6383983492851257, -0.5504780411720276, -0.908000111579895, -1.0060967206954956, 0.33365851640701294, -0.35847389698028564, -0.27079975605010986, -0.11288890987634659, 0.5464205145835876, 1.177339792251587, -0.39482924342155457, -0.42273399233818054, 0.5613179206848145, -0.5097508430480957, 0.41415831446647644, -0.07912451028823853, 1.2569398880004883, 1.1217254400253296, 0.9887524247169495, 1.2409648895263672, 0.6764136552810669, -0.1272130012512207, 0.21362580358982086, 0.19682173430919647, 1.2634525299072266, -0.057824745774269104, 0.3437012732028961, -0.7936562895774841, -0.227022185921669, -1.2639340162277222, -0.5186442136764526, 0.07619670033454895, 0.4981673061847687, -0.44064727425575256, 0.14556102454662323, -0.31208378076553345, -0.5574068427085876, 0.20510420203208923, -0.20817849040031433, 0.37448975443840027, -0.6849753260612488, -0.5052437782287598, 1.2321292161941528, 0.5401734113693237, -0.48435086011886597, -0.24720853567123413, -0.1081940159201622, -0.26235878467559814, 0.2974243760108948, -1.4115549325942993, 0.18729279935359955, 0.6346310973167419, 0.32849234342575073, -0.18388870358467102, -0.3875351548194885, -0.17908824980258942, -0.2739247679710388, -0.48916080594062805, -0.43208029866218567, -0.16184429824352264, -0.8810875415802002, 0.3869116008281708, 0.6021406650543213, -0.3355921506881714, 0.5888775587081909, -1.0596500635147095, 0.36204925179481506, -0.49370354413986206, -0.9503257274627686, 1.3728878498077393, 0.13422821462154388, -1.1932083368301392, 0.9694122076034546, -1.3863575458526611, -0.39253225922584534, 0.11017878353595734, -0.35494664311408997, 0.07902985066175461, 0.4728999137878418, -0.8190776109695435, -0.2417316734790802, -0.15905722975730896, -0.4700595736503601, 0.20444393157958984, 1.3519058227539062, 0.96642005443573, 0.4058127999305725, -0.39308544993400574, 1.3665509223937988, -0.4766469895839691, 0.031632840633392334, -1.593814492225647, 0.31975501775741577, -0.929661750793457, 0.3699628710746765, -0.385518342256546, -0.06678390502929688, 0.16157282888889313, -0.3060450851917267, -0.2495633214712143, 0.6864336133003235, -1.7288554906845093, -0.008278601802885532, 0.43378594517707825, -0.08908775448799133, -0.882104754447937, 0.5075855255126953, -0.03598537668585777, -0.2142563909292221, 0.5412791967391968, 0.630024790763855, 0.26017871499061584, 0.38104695081710815, -0.6191264986991882, -0.8103690147399902, 0.12452024966478348, 0.9676700234413147, -0.11630822718143463, -0.21264849603176117, -1.1836262941360474, 0.008960065431892872, -0.3354487121105194, -0.24417008459568024, 0.5524895191192627, -1.2378193140029907, 0.22636494040489197, 0.2766149044036865, -1.2806222438812256, -0.8092188239097595, -0.393512487411499, -0.08511881530284882, 0.125306636095047, -0.22362244129180908, -0.16467319428920746, 0.7297154664993286, -1.3830324411392212, 0.7303361296653748, 0.07859787344932556, 0.7953224182128906, 0.4190625548362732, -1.5362435579299927, -0.4088570475578308, 0.23330028355121613, 0.684635579586029, 0.08702801913022995, -0.21126577258110046, -0.7610592842102051, -0.02379707247018814, -1.151594877243042, -0.0879443883895874, 0.11612377315759659, -0.6846402287483215, -0.5216233730316162, -0.4613249599933624, -1.8869975805282593, -0.7734144330024719, 0.7330787777900696, -0.7851987481117249, 0.15350864827632904, 0.24847933650016785, -0.22794745862483978, -1.455697774887085, 0.954093337059021, -0.9053754806518555, 0.09102919697761536, -0.6152295470237732, -1.5476582050323486, -0.8143900036811829, 0.8238028287887573, -0.40527501702308655, 0.07066676765680313, -0.48554688692092896, 0.20125702023506165, 1.0414204597473145, -0.035605963319540024, -0.574726939201355, -1.0364917516708374, 0.23371708393096924, -1.087893009185791, -0.34697508811950684, -0.1461470127105713, -1.2330106496810913, 1.2850098609924316, -1.1567538976669312, -0.8423973917961121, 0.7836890816688538, -1.0759729146957397, 0.8564177751541138, -1.1000652313232422, 0.13776710629463196, -1.0410934686660767, 1.5448334217071533, 0.4417301118373871, 0.27692270278930664, -1.5288610458374023, 0.20625948905944824, 0.5388695597648621, 0.3269736170768738, -0.8434885740280151, -0.06984797865152359, 0.8199818730354309, -1.1990880966186523, 0.5267491936683655, 0.5958690643310547, -0.31876125931739807, 0.5233755111694336, -0.5850152373313904, 0.17992003262043, -0.3048759400844574, -0.32652464509010315, 1.0980405807495117, -0.8253911137580872, 0.1435755342245102, -0.3266970217227936, -0.2736482620239258, -0.6012338399887085, 0.9504851698875427, -0.46642544865608215, -1.0247215032577515, 0.47464868426322937, 0.7086880803108215, -1.6281359195709229, 0.5646152496337891, -0.7899674773216248, 0.5742813348770142, 0.1984453648328781, -0.2654041051864624, -0.04887883737683296, -0.903789758682251, -0.4099993109703064, -0.0791526585817337, 0.7517908811569214, 0.40240296721458435, 0.016242358833551407, -0.4412950873374939, -0.5880929827690125, 1.11976957321167, -0.6873621344566345, 0.061761997640132904, 0.8774343132972717, 0.5859358310699463, 0.18623247742652893, 0.29354313015937805, -0.2247408777475357, 0.03716956079006195, -0.4025990962982178, 0.28465747833251953, 0.36562982201576233, -0.11244720965623856, 0.43699565529823303, 1.7026441097259521, 0.04768936336040497, -0.3556038737297058, -1.4534989595413208, -0.10384155809879303, 0.22685691714286804, 0.9965842962265015, 0.16484138369560242, -0.001701604574918747, 0.10950148105621338, -1.2255852222442627, 0.03187708929181099, 0.02914627082645893, -0.5387551188468933, 0.2275753617286682, -0.4099036157131195, -1.1487805843353271, -0.7125669717788696, -1.8173128366470337, -0.07976187765598297, -0.31523728370666504, -0.10070281475782394, 0.9442178606987, -0.8519077897071838, -0.11989916861057281, 0.4570442736148834, -0.10047020018100739, -0.30881738662719727, -0.3296297490596771, 0.426070898771286, -0.6951899528503418, 0.14026503264904022, -0.1907491683959961, 0.1412476897239685, -0.41195279359817505, -2.019667387008667, 0.6041472554206848, 0.15180587768554688, 0.6530429124832153, 0.24505610764026642, -1.2073664665222168, -0.3718620836734772, -0.11343971639871597, 1.685190200805664, -0.21934208273887634, 0.00782465934753418, 0.2186298370361328, -1.1977745294570923, -0.5657166242599487, -0.004902914632111788, 0.4028952121734619, -0.8085325360298157, 0.7680942416191101, 0.6296811103820801, 0.39068737626075745, -1.077340006828308, 0.21902289986610413, -0.6516952514648438, -0.2983112037181854, -0.8014947772026062, 1.0095641613006592, -0.024178942665457726, 0.9262723326683044, -0.38400477170944214, 0.6411680579185486, -0.47597941756248474, 1.2451156377792358, -0.24598228931427002, 1.4582393169403076, -0.14743182063102722, -0.13419181108474731, 0.6872125267982483, 0.07896698266267776, 0.1434028595685959, 1.157138466835022, -0.07729960232973099, 1.5752980709075928, -0.7169164419174194, -0.17325246334075928, -0.7670148015022278, 0.499686062335968, -0.4479539394378662, 0.04080977290868759, -0.5977867245674133, 0.15563908219337463, -0.5655485391616821, 0.5791575312614441, -1.3647419214248657, 0.6830655932426453, 1.2197518348693848, -1.5231541395187378, -2.119246006011963, -0.4516391456127167, 1.325738787651062, -0.5836966037750244, -0.11454536020755768, -0.8828558921813965, -1.8158977031707764, -0.5284024477005005, 1.8220998048782349, -0.3691229522228241, 0.939951479434967, 0.027891118079423904, -0.42850860953330994, 0.07961432635784149, 0.6945318579673767, -0.4099233150482178, -1.4748743772506714, -0.7184462547302246, 0.07484454661607742, 1.3106564283370972, -0.5046279430389404, 0.42852988839149475, -0.07632864266633987, 0.5474159717559814, 0.3094221353530884, -0.012818415649235249, 0.18350253999233246, -0.56392902135849, -0.872535765171051, -0.8970850706100464, -0.30102992057800293, 1.3069806098937988, -1.2407008409500122, -0.28530940413475037, -0.865033745765686, -1.8032336235046387, 1.2086251974105835, 0.5893262028694153, -0.4334656596183777, 0.027706710621714592, -0.3429880738258362, -0.2506474256515503, 1.1265443563461304, -0.6000054478645325, 0.5824458003044128, -2.7923779487609863, 0.7868201732635498, 0.3700711727142334, -0.042046286165714264, 0.4223925769329071, 0.8623963594436646, 0.7865263819694519, 0.7400788068771362, 0.568695068359375, 0.09437616914510727, 0.29647719860076904, -0.6464955806732178, -0.06490681320428848, -0.30226776003837585, -0.4192407429218292, 0.8835837244987488, 0.5708225965499878, -0.3721698224544525, -1.8231596946716309, -0.6481212973594666, 0.24557864665985107, -0.34949636459350586, -1.0728920698165894, 0.7958765625953674, -0.11877033114433289, -0.8329948782920837, -0.3109452426433563, -0.23980310559272766, -0.14081941545009613, 1.256973147392273, -0.9655891060829163, 0.7116814255714417, -0.46146640181541443, -1.087931752204895, 0.4381866157054901, 0.6974687576293945, -0.41988104581832886, -0.08785416185855865, -0.5523773431777954, -6.513731479644775, -0.033787813037633896, 0.41683053970336914, -0.3043748140335083, 0.5148593783378601, 0.0752750113606453, -0.3092029094696045, 0.07382373511791229, -0.8219448328018188, 0.07041767984628677, -0.20127961039543152, 0.2760166525840759, 0.44883203506469727, -0.48881345987319946, -1.7820863723754883, -0.19321578741073608, 0.07099880278110504, -0.4240570664405823, -1.1678271293640137, -0.4227425158023834, -0.3921884298324585, -1.4405442476272583, 0.03284263238310814, -0.6025127172470093, 1.3909260034561157, -0.1078236922621727, -0.869632363319397, -0.3905881643295288, 1.126473069190979, 0.49971967935562134, 0.2037607878446579, 0.15582098066806793, 1.237351417541504, 1.2257888317108154, 0.13039925694465637, 0.8457394242286682, 0.5095322132110596, 0.21615320444107056, -0.27272704243659973, 0.455009788274765, -0.6230565905570984, 0.17720794677734375, 0.48961687088012695, 0.2971852421760559, -0.5369442105293274, -0.568428635597229, 0.6240659356117249, -0.4342109262943268, 0.8914435505867004, -1.2894811630249023, -0.16553828120231628, -0.43643099069595337, 1.2934107780456543, -0.12292923033237457, -0.4792933464050293, -0.6757703423500061, -0.0014157245168462396, 0.38430070877075195, 0.9102494716644287, -0.4239104390144348, -0.27904167771339417, 0.29890158772468567, 0.2381051629781723, 0.4792638421058655, -0.2775370478630066, -0.5681591033935547, 0.6550737023353577, 0.5182561278343201, 0.45274317264556885, 0.7362494468688965, -0.6507723331451416, -1.1855665445327759, -0.2908661961555481, -0.7353416085243225, -0.6438299417495728, -0.18201713263988495, -0.1882779747247696, 0.8153649568557739, 0.3623793125152588, -0.15148358047008514, -0.8184630870819092, -0.04484604299068451, -0.5646593570709229, 1.0065960884094238, -1.066056251525879, -1.3693960905075073, -0.06067279726266861, 0.9413061141967773, -0.1454041749238968, 0.1187402606010437, -0.591982364654541, -1.1062228679656982, 0.370126336812973, 0.765901505947113, 0.6108393669128418, 0.20464150607585907, 0.9920992851257324, 1.1080186367034912, 0.09966635704040527, 0.31252628564834595, 0.3510761260986328, 0.7694222927093506, 0.7590847015380859, 0.31716296076774597, 1.1369763612747192, 0.22704987227916718, -0.039139050990343094, -1.2125486135482788, -0.3145110011100769, -0.3650595545768738, 1.1283142566680908, 1.695080041885376, -0.2133222371339798, -0.4980805814266205, 0.7297175526618958, -0.41477254033088684, 0.5669283270835876, -0.10586585849523544, 0.25037088990211487, 0.017535235732793808, -0.3232221305370331, -0.9475882053375244, -0.8328635096549988, -2.054823398590088, 0.6827230453491211, -0.26747164130210876, 0.0349329374730587, 0.24974533915519714, 0.3243422508239746, 0.2675659954547882, -0.6854775547981262, 0.19842767715454102, 1.233513593673706, -0.6954032778739929, 0.6478174328804016, -1.0996558666229248, 0.13383318483829498, 1.9281139373779297, 0.4950093924999237, 0.2879556119441986, 0.6603230834007263, -0.6952775120735168, 0.3910195231437683, 0.34421291947364807, 0.11079218238592148, -0.8790248036384583, -0.9982298612594604, 0.6793000102043152, -0.5850929021835327, -0.3190043866634369, -0.5413274765014648, -2.415915012359619, 0.24991542100906372, 0.7766621112823486, 0.18069058656692505, -0.6974186897277832, -0.1307729184627533, 0.8213202357292175, -0.7591477036476135, -0.3965398371219635, -0.09903652966022491, 0.16398292779922485, -0.45276618003845215, -0.3038645088672638, 0.29863402247428894, 0.8190687298774719, 0.7087951898574829, 1.0793015956878662, -1.318496584892273, 0.9537882208824158, -0.06811688840389252, 0.33909326791763306, -1.080220103263855, 0.8547272682189941, 0.7942270040512085, -0.14007960259914398, 0.09377986192703247, -0.34928596019744873, -0.14672021567821503, -0.4441736340522766, 2.358207941055298, -0.8896185755729675, 0.17692378163337708, 0.1442773938179016, -0.7706508040428162, 1.0776731967926025, 0.9689648747444153, 0.4104389250278473, -0.03309861570596695, 0.3679874837398529, -0.3080589771270752, 0.26320576667785645, -0.6603728532791138, -0.1360076665878296, 1.0058268308639526, 0.5471594333648682, 0.18829481303691864, 0.02371014654636383, 0.965519368648529, -0.5669107437133789, 0.5080721974372864, 0.047222934663295746, -0.23579849302768707, -0.25764191150665283, -0.6724565029144287, 0.22358351945877075, -1.3470547199249268, 0.6428477168083191, -1.4805525541305542, -1.0631176233291626, -0.6371176838874817, -0.06676539778709412 ]
1,067
0704.1069
Patrick Leung
Patrick M. Leung and Timothy C. Ralph
Optical Zeno Gate: Bounds for Fault Tolerant Operation
5 pages
null
10.1088/1367-2630/9/7/224
null
quant-ph
null
In principle the Zeno effect controlled-sign gate of Franson et al's (PRA 70, 062302, 2004) is a deterministic two-qubit optical gate. However, when realistic values of photon loss are considered its fidelity is significantly reduced. Here we consider the use of measurement based quantum processing techniques to enhance the operation of the Zeno gate. With the help of quantum teleportation, we show that it is possible to achieve a Zeno CNOT gate (GC-Zeno gate) that gives (near) unit fidelity and moderate probability of success of 0.76 with a one-photon to two-photon transmission ratio $\kappa=10^4$. We include some mode-mismatch effects and estimate the bounds on the mode overlap and $\kappa$ for which fault tolerant operation would be possible.
[ { "created": "Mon, 9 Apr 2007 07:17:06 GMT", "version": "v1" } ]
2009-11-13
[ [ "Leung", "Patrick M.", "" ], [ "Ralph", "Timothy C.", "" ] ]
07
[ -0.2962329387664795, 0.27626094222068787, -0.3698252737522125, -0.15843084454536438, 1.0799015760421753, -0.13296334445476532, -1.7909836769104004, -1.5186240673065186, -0.8754929900169373, 0.05207303538918495, 0.9055461287498474, -0.47725310921669006, 1.3401631116867065, 0.5354975461959839, -0.575404942035675, 0.34498047828674316, 2.358969211578369, 1.2583492994308472, -0.7944154739379883, 0.6449353098869324, 0.9416305422782898, -0.4428234100341797, -0.2193218618631363, 0.19962048530578613, 0.14786794781684875, 0.13160167634487152, -0.4677734673023224, -0.8256167769432068, -0.969184935092926, -0.6866632103919983, 0.8981156349182129, 0.5132805109024048, 1.376545786857605, -0.7823600769042969, 0.9632670879364014, -0.17029988765716553, 0.6188480854034424, 0.1678362935781479, -2.1388790607452393, -1.3599755764007568, -1.6483049392700195, 1.7250438928604126, 0.11713067442178726, 0.7603767514228821, -1.6378271579742432, 0.6034492254257202, 0.07140189409255981, -0.551675021648407, 0.8422595858573914, 1.888795256614685, -0.6069957613945007, -0.2824695408344269, -0.2328851968050003, -0.5286239981651306, 0.2765370309352875, -0.058975160121917725, 0.5194790959358215, 0.348050594329834, -0.9193738698959351, -0.23152543604373932, -0.39514800906181335, -0.20106066763401031, -0.5526954531669617, -0.9514344930648804, -0.10043296217918396, -0.4280990660190582, 0.12343522161245346, 0.8569108247756958, -0.0269999410957098, 0.20074358582496643, -0.6330835223197937, 0.672473132610321, 1.0298659801483154, -0.6594572067260742, 0.9040989875793457, 0.06422538310289383, -0.8800681829452515, 1.1598392724990845, 0.79694002866745, 0.393965482711792, 0.9889006018638611, 0.7841905355453491, -0.01950642094016075, -1.2595256567001343, -0.5156087279319763, 0.379869282245636, -0.6312302350997925, -0.9571716785430908, -0.9420856833457947, 0.19365087151527405, -1.138137936592102, -1.1182479858398438, 0.10700924694538116, -0.14095516502857208, -0.08628198504447937, 1.205370545387268, 0.22395579516887665, -1.4468371868133545, -0.03543955832719803, 0.04166541248559952, 0.08901902288198471, 0.5229870676994324, 0.7313185334205627, 0.23486213386058807, -0.7286457419395447, 0.5114220380783081, 0.46684324741363525, 0.2603103816509247, -0.808956503868103, 0.06386737525463104, -0.8305370807647705, 0.06441490352153778, 0.7173454761505127, 0.08411060273647308, 0.8508151769638062, 0.9761256575584412, 0.1188562735915184, -0.11842633783817291, 0.2722488045692444, -1.3211427927017212, -0.14865532517433167, 0.5268836617469788, -1.8713734149932861, 1.2154844999313354, -0.6317140460014343, 0.724740207195282, 1.0349299907684326, 0.4359627664089203, -0.12242624908685684, 0.08955148607492447, 0.24673554301261902, 0.06323179602622986, 0.43763768672943115, -1.0254755020141602, -0.6215201616287231, -0.5573305487632751, 0.17392629384994507, 0.4836806356906891, -0.1331225037574768, 0.7526986002922058, 1.0209026336669922, 0.010922360233962536, 0.6046625375747681, -0.6558135151863098, 0.07764962315559387, 1.3014198541641235, -1.2349135875701904, -0.45697319507598877, -1.0206092596054077, 0.49331390857696533, -0.3988848626613617, -0.468936949968338, 0.27252060174942017, -1.8177331686019897, -0.2204132229089737, 0.6701753735542297, 0.44944363832473755, 1.3572195768356323, -0.35836291313171387, -0.38767990469932556, -0.31231236457824707, -0.22906778752803802, 0.7873691320419312, 0.556842029094696, -0.27059632539749146, -0.3617810904979706, 0.10485567897558212, 0.6921632289886475, -0.3760133683681488, -0.9350056648254395, -1.438544511795044, -1.2404727935791016, -1.2302228212356567, 0.979658305644989, 0.3984525799751282, 0.4886211156845093, 0.5373172760009766, -0.0845714583992958, -0.13771307468414307, 0.9180407524108887, 0.48028674721717834, -0.6669190526008606, -0.7164374589920044, -0.0661674439907074, 0.12179642915725708, 0.3530069589614868, 0.5718828439712524, 0.9539951086044312, -0.20010603964328766, 0.6953744888305664, 0.5401231646537781, -1.45107102394104, -1.9056692123413086, -0.7540070414543152, -0.3677426874637604, 1.0322257280349731, -1.0861091613769531, 0.1140555813908577, -0.20552577078342438, 1.5579897165298462, -0.32558581233024597, -0.43772420287132263, 0.06515654921531677, 0.9676085114479065, 0.8714931011199951, 0.023134596645832062, -0.7150590419769287, 0.5223925709724426, -0.36203649640083313, -0.2705745995044708, -0.7419334650039673, -0.4982384145259857, -0.8939101696014404, 0.46665942668914795, -0.5160877108573914, 1.234208583831787, -0.24745090305805206, -0.3037007749080658, -0.0018541181925684214, 0.7160876989364624, -1.8092372417449951, -0.01740116998553276, -0.23808026313781738, -0.2812211811542511, -0.06841911375522614, -0.5970601439476013, 0.9965212941169739, 1.3436782360076904, -1.153347373008728, -0.575401246547699, -0.14538614451885223, -0.8264444470405579, -0.054352689534425735, 0.16529574990272522, 0.8979191184043884, 0.9008368849754333, -0.6351377964019775, -0.06662774085998535, 0.37750864028930664, 0.2262137532234192, -0.5899605751037598, -0.13129515945911407, -1.4453380107879639, -0.16780105233192444, 0.361178457736969, 0.0770367756485939, 0.3862605094909668, 0.8572046756744385, -0.8993169665336609, -0.5273892283439636, -1.0684330463409424, -0.007081371732056141, -0.12727883458137512, 0.25774186849594116, 1.5538703203201294, -0.7333894968032837, 0.4203513562679291, 0.8326268792152405, 0.3616574704647064, -0.2550617754459381, -0.07421889901161194, -0.8409990072250366, 0.9831441640853882, -0.6945440769195557, -0.5496570467948914, -0.469969779253006, 0.2701648771762848, -0.7655047178268433, -0.7110470533370972, -0.25759825110435486, -1.7293438911437988, -0.11082232743501663, -1.1766417026519775, -0.21498969197273254, 1.1076045036315918, 0.8010767698287964, -0.0373087115585804, -0.18483102321624756, -0.17924447357654572, 0.18622682988643646, -0.6212867498397827, 1.3354369401931763, 0.0003853146918118, 0.8557090759277344, -0.30828991532325745, -0.6919490694999695, 0.8686137199401855, -0.009910578839480877, -0.3775021433830261, 0.9064070582389832, -1.6069939136505127, 1.1542807817459106, -0.6786189079284668, -0.3698731064796448, 0.31713512539863586, -0.750093400478363, 0.2702944874763489, 0.482964426279068, 0.1017533466219902, 0.0746643915772438, 0.72064608335495, -0.008864565752446651, -0.2888973653316498, 0.6965389847755432, 0.6880279779434204, -0.4703451693058014, 0.2561394274234772, 0.15758363902568817, 0.13445919752120972, -0.5993428230285645, 1.6020630598068237, 0.12970758974552155, -0.4367929995059967, 0.1153443232178688, -0.06224764138460159, 0.18822264671325684, 1.122498631477356, -0.4502880573272705, -0.8105572462081909, -0.7753736972808838, -0.6177398562431335, -0.10157391428947449, 1.4062509536743164, -0.5443460941314697, 0.9406241774559021, -1.0051645040512085, 0.6756494045257568, 0.16127033531665802, 0.9390907883644104, 0.22916781902313232, -0.11804307997226715, -0.016079364344477654, -0.613814651966095, -1.4057170152664185, 0.28025850653648376, 0.12673839926719666, -0.6891341805458069, 0.69332355260849, 0.7846586108207703, -0.20379756391048431, -0.7334797978401184, 0.49309220910072327, -0.1630336344242096, 1.624063491821289, -0.6672579646110535, 0.2122105211019516, -0.5154271721839905, -0.4763036072254181, 0.5333928465843201, 0.17779633402824402, -0.587368905544281, 0.6184337735176086, -0.7978047728538513, -1.1921051740646362, 0.5951352119445801, 0.15449993312358856, 0.6132156848907471, 0.5156829357147217, -0.7612413167953491, -1.266461968421936, 0.9713100790977478, -0.8393356204032898, 0.6478420495986938, -0.5772059559822083, -0.7072790861129761, 0.31268417835235596, -0.7617843151092529, 0.47950515151023865, -0.9060457348823547, -0.6728416681289673, -0.8801801204681396, 0.305500864982605, 0.9851878881454468, -0.8625389933586121, -0.6779837012290955, 1.085390329360962, -0.038036782294511795, -0.1554044485092163, 0.3706274628639221, -0.5283148884773254, 0.44048765301704407, 0.7360965609550476, 0.30015838146209717, 1.119381070137024, -1.2038780450820923, -0.03864485025405884, 0.04145807400345802, 0.5703561305999756, -1.4840513467788696, -0.6366404891014099, -0.36272749304771423, 0.7490890622138977, -0.17147395014762878, 0.10510305315256119, 0.04014625400304794, -0.11595658957958221, 1.2086035013198853, -0.03496088460087776, -1.1760048866271973, 0.4539225399494171, 0.2260151356458664, 0.37950870394706726, -0.23871645331382751, -0.9106088876724243, 0.9274802207946777, 0.4564281105995178, -0.027442585676908493, 0.811961829662323, -0.2761509120464325, -0.5370352268218994, -0.423718124628067, -0.699112594127655, 0.5780695676803589, 0.21386078000068665, 1.3575831651687622, -1.1453005075454712, -0.5903400182723999, -0.002472831401973963, -0.811965823173523, 0.456906795501709, 0.39674821496009827, -0.4598643183708191, 0.029442740604281425, 0.7518433928489685, -0.7240703105926514, -0.27493149042129517, -1.583915114402771, 0.9753319025039673, 0.539911687374115, -0.033077217638492584, -0.7866675853729248, -0.22916749119758606, -0.7992377877235413, 0.06729075312614441, -0.22338499128818512, 0.4210234582424164, 0.1178891733288765, -0.16790978610515594, -0.7924371361732483, 0.7746298313140869, 0.052973225712776184, 1.154761552810669, 0.18543988466262817, -0.6165894269943237, -1.4678419828414917, -1.2770501375198364, -1.2452270984649658, -1.1809958219528198, -1.3535150289535522, 0.06870060414075851, -0.8146088719367981, -0.18506893515586853, 0.09605320543050766, -0.5183070302009583, -0.30086180567741394, -1.478516697883606, -0.013430009596049786, 0.3914588391780853, -1.0371532440185547, 0.22634203732013702, -0.4595143496990204, 0.34642553329467773, 0.15502279996871948, -1.4307397603988647, -0.7591288089752197, -0.498774915933609, 0.3506840169429779, 0.18832148611545563, -1.0797498226165771, 1.6374439001083374, -0.29934507608413696, -0.5273511409759521, -0.06798654794692993, -0.9238767623901367, 0.21676097810268402, -1.0195730924606323, 0.14766450226306915, -0.804677426815033, -0.38485294580459595, 0.796467661857605, 1.8912464380264282, 0.10004372149705887, 0.2492811232805252, 0.03119724802672863, 0.26584190130233765, -0.47802940011024475, 0.0017553729703649879, -1.1476870775222778, 1.0992248058319092, -0.4536430835723877, 0.30710336565971375, 0.8554139733314514, -0.27791932225227356, 1.2511879205703735, 0.5266869068145752, 0.6119627356529236, 0.2465963363647461, -0.5920066833496094, -0.04347679018974304, -0.3158760666847229, -0.15108227729797363, -0.5707105398178101, -0.07590734213590622, 0.36812275648117065, -0.19561319053173065, -0.8619444966316223, -0.29625943303108215, 1.098202109336853, 0.4693834185600281, 1.4924224615097046, -0.6523492336273193, -0.19027844071388245, -1.2736302614212036, -0.7295531034469604, 1.4663276672363281, -1.425276756286621, -0.4155288636684418, -1.9454394578933716, 1.006001353263855, -0.6147866249084473, -0.31701868772506714, -0.7521777153015137, -0.3518904149532318, 0.832766592502594, 0.5513038635253906, 0.9187899827957153, -0.08433424681425095, -0.5461214184761047, 0.26759713888168335, 0.3467332720756531, -0.9724013209342957, -0.3152925968170166, 1.2083770036697388, 1.3796265125274658, -0.10274077951908112, 0.3502475917339325, 0.3329183757305145, -0.48341187834739685, -1.4414677619934082, -1.136573076248169, 0.8381280303001404, -1.3454501628875732, 0.19305802881717682, -0.26387330889701843, 1.2547414302825928, -0.20042529702186584, 0.3311288356781006, -0.27713385224342346, -1.1894283294677734, -1.133042335510254, 0.7585640549659729, -0.03908715024590492, 0.4104239046573639, -0.30322206020355225, -0.242498517036438, -0.6417279839515686, -6.6880083084106445, 0.25382447242736816, -0.9253096580505371, -0.012553831562399864, -0.22013378143310547, -0.22230368852615356, -0.657588005065918, -0.34052079916000366, 0.5170033574104309, 0.3919883370399475, 0.20243778824806213, -0.1486612856388092, -1.0575380325317383, -0.6965914964675903, -0.2782882750034332, 0.22668889164924622, -1.0219523906707764, -0.1599600613117218, -0.19797280430793762, -0.15522852540016174, -1.1234296560287476, -0.46825096011161804, -0.34124839305877686, -0.45509740710258484, 1.2127503156661987, 0.16217580437660217, -0.23070354759693146, 0.6240882277488708, 0.11461639404296875, 0.7389487028121948, 0.10646773874759674, -0.3435336649417877, -1.0290273427963257, 0.3066834509372711, 0.6859829425811768, -0.30632320046424866, 1.4476648569107056, 1.1702934503555298, 0.039129000157117844, 0.17336897552013397, -0.6095098257064819, -0.8251503109931946, -0.20663197338581085, -0.6207353472709656, -0.9597645401954651, -0.8643523454666138, 0.25493454933166504, -1.4018815755844116, -0.7347126007080078, -0.2955278754234314, 2.094808340072632, 0.2622396647930145, 0.19897636771202087, 0.2894357442855835, 0.060218293219804764, -0.7553856372833252, -0.7625098824501038, 0.36010703444480896, 0.2315751612186432, -0.1465252935886383, 0.532860279083252, -1.3463040590286255, 0.3940809667110443, 0.5066456198692322, 0.5077447891235352, -1.6845976114273071, 0.10144392400979996, -1.2840628623962402, -0.05215410515666008, 1.1348108053207397, 0.6296596527099609, -1.1973387002944946, 2.348550796508789, 0.500259518623352, 0.612102210521698, -0.7257811427116394, -0.9754315614700317, 0.9574427008628845, -0.17675110697746277, -0.5675994753837585, -1.341896653175354, -0.14942941069602966, 0.24529941380023956, 0.3119088113307953, 0.48048198223114014, -0.6834744215011597, 0.11008866876363754, -0.17708641290664673, 0.07353048026561737, -0.8187932968139648, -0.7190267443656921, 0.6833159923553467, -1.2237038612365723, -0.1806497722864151, 0.5975863933563232, 1.7757227420806885, 0.04226250573992729, -2.062958240509033, -0.44001057744026184, 0.2934442162513733, -0.6487964987754822, 0.16714344918727875, -0.01700662635266781, -0.04777669161558151, 0.5662708878517151, -0.18059511482715607, -0.6680436730384827, 0.7360278964042664, 0.9856545925140381, 0.06793701648712158, 0.36926567554473877, 0.0477246530354023, -0.4045221507549286, -0.8359426856040955, -1.4045028686523438, 1.1094694137573242, 0.44912973046302795, 0.10781991481781006, -0.053713563829660416, -0.6793225407600403, -0.34997013211250305, -0.43482521176338196, 0.07775896042585373, 0.4832577705383301, 1.6097244024276733, -0.27942267060279846, -0.11443223804235458, -1.0034964084625244, 0.9024495482444763, -0.8072994351387024, 1.189634919166565, -1.562307596206665, 1.1965336799621582, 2.0448176860809326, -0.448323130607605, -1.4249694347381592, -1.6006745100021362, 0.989926278591156, 0.6317850947380066, 0.6000696420669556, 0.6101069450378418, -0.5068502426147461, 0.32602182030677795, 0.14017634093761444, 0.07197495549917221, -0.5357778072357178, -0.3360317349433899, 0.8722059726715088, 0.1378711462020874, -0.19566714763641357, -0.29815685749053955, 0.7761644721031189, 0.007916370406746864, 0.6136249303817749, 0.24314333498477936, 0.8105641603469849, -0.7106863260269165, -0.22949343919754028, -0.42023900151252747, -0.09173376858234406, 0.9294265508651733, -0.34998735785484314, 0.5135208368301392, -0.09531619399785995, -0.4431634843349457, -0.34038180112838745, -0.005552020855247974, 0.38411468267440796, 0.7695968151092529, -0.31749293208122253, 0.10930626839399338, -0.2321670949459076, 0.631451427936554, -0.23798292875289917, 0.025001542642712593, 0.5891250967979431, 0.5571187138557434, -0.5370587706565857, 0.1840554177761078, -1.8099287748336792, -0.4221230745315552, 0.5792321562767029, 0.7409318685531616, -1.0470703840255737, -1.372140884399414, 0.16829881072044373, 1.700492262840271, 0.3855307698249817, -0.8445250391960144, -0.8424491882324219, -0.3981948494911194, -0.005715449806302786, 1.057303786277771, 0.5501314401626587, 0.31188565492630005, -0.24577102065086365, 0.2787085771560669, 0.6060131788253784, -0.3414289057254791, 0.7325436472892761, -0.34624314308166504, 1.6000863313674927, -0.6303580403327942, 0.1596258133649826, 0.019898109138011932, 0.39280933141708374, 0.3610658049583435, 0.2533308267593384, -0.8105126619338989, -0.44278961420059204, 0.18919125199317932, -0.32289037108421326 ]
1,068
0704.1070
Hua Fu
Hua Fu and Pooi Yuen Kam
Differential Diversity Reception of MDPSK over Independent Rayleigh Channels with Nonidentical Branch Statistics and Asymmetric Fading Spectrum
5 pages, 3 figures, to present at ISIT2007
null
null
null
cs.IT cs.PF math.IT
null
This paper is concerned with optimum diversity receiver structure and its performance analysis of differential phase shift keying (DPSK) with differential detection over nonselective, independent, nonidentically distributed, Rayleigh fading channels. The fading process in each branch is assumed to have an arbitrary Doppler spectrum with arbitrary Doppler bandwidth, but to have distinct, asymmetric fading power spectral density characteristic. Using 8-DPSK as an example, the average bit error probability (BEP) of the optimum diversity receiver is obtained by calculating the BEP for each of the three individual bits. The BEP results derived are given in exact, explicit, closed-form expressions which show clearly the behavior of the performance as a function of various system parameters.
[ { "created": "Mon, 9 Apr 2007 07:16:39 GMT", "version": "v1" } ]
2007-07-13
[ [ "Fu", "Hua", "" ], [ "Kam", "Pooi Yuen", "" ] ]
07
[ 1.0945942401885986, 0.4660964608192444, -0.19079604744911194, -0.4291325509548187, 0.770112156867981, -1.1817704439163208, -0.45827624201774597, -0.6743658185005188, -0.6734219193458557, -0.9604042768478394, -0.59591144323349, -0.7533161640167236, 0.5869290232658386, -0.9376461505889893, -0.9379178881645203, -0.6667097210884094, 0.3972640931606293, 0.6074652671813965, -1.1658867597579956, -0.3419294059276581, -0.09378911554813385, 0.26824668049812317, -0.5576683282852173, 0.042042285203933716, 0.12507884204387665, 0.028905637562274933, -0.7756499648094177, -0.6647681593894958, -0.33986204862594604, -0.5748081207275391, -0.2161589413881302, -0.2884989380836487, 0.2737986147403717, -0.10724255442619324, -0.043282005935907364, 0.43519556522369385, 0.7902271747589111, -0.03945690393447876, -1.641408920288086, -0.4264318346977234, -0.08406233042478561, -1.0626578330993652, 0.4422260522842407, 0.7401173710823059, -0.9511489868164062, 0.2814621329307556, 0.5579543709754944, 0.8397956490516663, 1.1661297082901, -0.35992005467414856, 0.0486312098801136, 0.6953989267349243, -0.46503353118896484, -0.15002505481243134, 0.43355661630630493, 0.2532735764980316, 1.66714346408844, -0.5181207060813904, -0.6055107712745667, -0.33559396862983704, -0.11366356164216995, 1.0322849750518799, 0.5677911043167114, -1.5481096506118774, 0.3796769678592682, 0.27235183119773865, 0.6199284195899963, 0.7305249571800232, -0.07581889629364014, 0.3941844403743744, 1.8015847206115723, -0.9093596339225769, 0.057810332626104355, -0.13366009294986725, -0.528569757938385, -0.07639716565608978, -0.2547323703765869, 0.05563965067267418, 0.9148624539375305, -0.43375691771507263, 0.09145504981279373, 1.1869757175445557, 0.5503550171852112, -0.704126238822937, -1.4241200685501099, -0.6864878535270691, 0.8685987591743469, -0.6758742332458496, -2.0872437953948975, -0.13424524664878845, -0.7644074559211731, 0.2824965715408325, -0.06069030985236168, 0.18876487016677856, -0.04708079993724823, -0.5507003664970398, 0.016277000308036804, 0.7893946766853333, 0.468404084444046, 0.26001548767089844, 0.2754189074039459, -0.2790718078613281, 0.2906515598297119, 0.20792537927627563, -0.2676404118537903, -0.4810548722743988, -0.3185073733329773, 0.09042277932167053, -0.5391271114349365, 0.15320545434951782, 0.4699866771697998, 0.030094262212514877, 0.18370066583156586, 0.8713749051094055, 0.9012191891670227, 0.9226112365722656, -1.0258517265319824, 0.16215179860591888, -0.6395640969276428, -1.1477553844451904, 0.4541778564453125, 0.21690471470355988, -0.1121252179145813, 0.6609475016593933, 0.9679950475692749, 0.36939507722854614, 1.0131081342697144, -0.7956780195236206, 0.05446171015501022, 0.31969213485717773, -0.18635039031505585, -0.3301890790462494, -0.9260152578353882, -0.19810231029987335, 0.13200566172599792, -0.19746516644954681, 0.12209446728229523, 0.12831103801727295, -0.5169219374656677, -0.38077831268310547, 1.1333179473876953, 0.2082223892211914, -0.4306868314743042, 0.4701232314109802, -0.5754185914993286, 1.0200212001800537, 0.23069781064987183, -0.7418462038040161, -0.9798994660377502, 0.38404861092567444, 0.11379540711641312, -1.5498168468475342, 0.333546906709671, -0.006466086953878403, 0.7559057474136353, -0.26986759901046753, -0.6236124634742737, 0.3576011657714844, -0.6344819664955139, -1.4648793935775757, 0.5667622089385986, 0.8763038516044617, 1.6741887331008911, 0.3419053256511688, 0.06681051850318909, 0.030377475544810295, -0.5966659784317017, -1.1113017797470093, 0.013743117451667786, -1.4926477670669556, -1.055809736251831, -0.4691127836704254, 0.6139558553695679, 0.7257611155509949, -0.28092461824417114, 0.9184340238571167, 0.3059735596179962, 0.09096482396125793, 0.9337816834449768, -0.3517392873764038, 0.38579103350639343, -0.30640044808387756, -0.7805490493774414, -1.2800132036209106, 0.7493441104888916, -0.22259250283241272, -0.18230341374874115, 0.17154249548912048, -0.4109900891780853, -1.2573888301849365, -0.03375120460987091, -0.745572566986084, -1.106022834777832, 0.7676362991333008, -0.5747781991958618, 1.014022707939148, -1.0471935272216797, 1.1837598085403442, -0.9963418245315552, 0.6364235281944275, 0.9197614789009094, -0.9194334149360657, 0.871534526348114, 0.09209169447422028, -1.140973448753357, 0.19093480706214905, -0.6850506067276001, 0.02826140820980072, -0.5455771684646606, -0.5796781182289124, -1.4866876602172852, -0.5934563875198364, -0.2566211521625519, 0.9375128746032715, 0.5032657980918884, 0.46818557381629944, -0.06524556875228882, -0.7011391520500183, -0.43436869978904724, 0.3219359517097473, 0.42031794786453247, 0.9435403943061829, -1.019065260887146, -0.1581328809261322, -0.16407133638858795, 0.47159212827682495, -0.7544172406196594, -1.38046133518219, -0.3733726739883423, -0.5896558165550232, 1.7169601917266846, -0.086446613073349, -1.3870863914489746, -0.21619731187820435, 1.5032120943069458, 0.3382391929626465, -1.267716646194458, -0.024950822815299034, -0.11571887135505676, 0.6934604048728943, -0.51032954454422, -1.1379426717758179, -1.9763563871383667, 0.21703694760799408, -0.060104139149188995, -0.23784194886684418, 0.9286680221557617, -0.5744913220405579, -1.1440906524658203, -0.5286276936531067, -0.15465152263641357, 0.055350687354803085, -0.4155576229095459, -0.976516604423523, 0.05410680174827576, -0.8312904834747314, -0.18552187085151672, -1.255722165107727, -1.3002997636795044, 0.48235341906547546, 0.6406972408294678, -0.5966236591339111, 0.14868147671222687, -0.7050693035125732, -0.8840126991271973, -0.07873236387968063, 0.27694055438041687, 0.10176239162683487, -0.18272075057029724, 0.18276461958885193, -0.6270513534545898, -0.43040451407432556, 0.5056243538856506, 0.48775514960289, -0.6829708814620972, -0.3793906271457672, 0.48481273651123047, -0.054307322949171066, -0.35707220435142517, -1.13559889793396, -1.184256911277771, 0.48144885897636414, 0.2584854066371918, 1.0227010250091553, 0.5804482102394104, -0.7197271585464478, 0.629260241985321, 0.9363269209861755, -0.8024212718009949, 0.03225696459412575, 0.08662891387939453, 0.4176134169101715, 0.45504891872406006, 0.22420446574687958, 0.25116491317749023, -0.8691495060920715, 1.0079642534255981, -0.5250487923622131, 0.6530192494392395, -0.09432069957256317, 0.2547483444213867, -1.0519412755966187, -0.6341184973716736, -0.2768755555152893, 0.47800102829933167, -0.2682843506336212, -0.7360671758651733, 0.4557046592235565, 1.3051213026046753, -0.10310611128807068, 0.829750657081604, -0.5024170279502869, -0.10208266973495483, -0.6477215886116028, -0.315544068813324, 0.6970852613449097, 0.24997910857200623, 0.7656713128089905, 0.6361266374588013, -0.022415531799197197, -1.515233039855957, -0.4849703013896942, -0.6144917011260986, -0.14112652838230133, 0.7474378943443298, 0.10138720273971558, -0.05982932820916176, -0.1475324034690857, 0.7241348624229431, -2.4535555839538574, -0.6239883899688721, 0.601969838142395, -0.547853410243988, 0.2665059566497803, 0.16092802584171295, 0.1997058391571045, 0.49410057067871094, -0.4080534875392914, -0.019154096022248268, -1.4354373216629028, 0.4752853810787201, 0.8545294404029846, -0.13487476110458374, 1.4753040075302124, -0.7850009799003601, -0.33323419094085693, 0.2840624749660492, 0.013231984339654446, 0.08942235261201859, 0.4199523627758026, -0.0043674008920788765, -0.42138245701789856, 0.17415723204612732, 0.3195440471172333, 0.004385830368846655, -0.24742400646209717, 0.5395129919052124, 0.9372477531433105, 1.617721676826477, -0.5655084252357483, -0.06636129319667816, -0.8533996343612671, 0.33171460032463074, -1.3967599868774414, 0.3776225745677948, -0.8920475840568542, -0.8190438151359558, -0.22978001832962036, 0.5854790210723877, 0.19365796446800232, -0.1839025914669037, -0.55727618932724, -0.4174829125404358, 0.47944092750549316, -0.8386757969856262, 0.08649831265211105, 0.046475399285554886, 1.3136636018753052, -0.09208045154809952, 0.46898922324180603, 0.4483034014701843, 0.20197036862373352, 0.5507156848907471, -0.10917074233293533, 0.8914411664009094, 0.004500371403992176, -0.1417844444513321, 0.755567193031311, -0.9346880316734314, 0.025783710181713104, 0.4779784381389618, -0.17533448338508606, 0.6570912599563599, 0.6343480348587036, -0.2162276953458786, -0.03606506437063217, 1.0355894565582275, 0.20686058700084686, -1.0056849718093872, 0.38749396800994873, -0.6408910155296326, 0.26921576261520386, 0.0591127946972847, -1.943211317062378, 0.17892442643642426, -0.27429935336112976, -2.1350603103637695, 0.10656958073377609, 0.38036903738975525, -1.1403374671936035, 0.7471442222595215, 0.4448990225791931, 0.45893487334251404, 0.015676597133278847, 0.07824869453907013, -1.1041631698608398, -1.1966934204101562, 1.5779483318328857, 0.15972796082496643, -1.1869584321975708, 0.7670394778251648, -0.8399075865745544, 0.6966629028320312, 1.034105896949768, -0.2887997329235077, -0.2608475089073181, -0.5905315279960632, 0.40249237418174744, -0.2641478478908539, -0.07388193160295486, -1.3883134126663208, -0.10420515388250351, -0.06053908169269562, -0.38509401679039, 0.18208694458007812, -0.10260718315839767, -0.8761463165283203, 1.1842902898788452, 0.12516389787197113, 0.34576404094696045, 0.5787356495857239, -1.160670280456543, 0.23116031289100647, 0.06821715831756592, -1.3787178993225098, 0.1092926636338234, 1.226614236831665, 1.152241587638855, -0.08685565739870071, -0.6631219387054443, 0.08538000285625458, 0.397895872592926, -0.5420900583267212, -0.4273347854614258, -0.45976755023002625, -1.4808874130249023, 0.04501146450638771, 0.8065100312232971, -0.5136743783950806, 0.21297737956047058, -0.359510213136673, -0.3124455511569977, -0.17976270616054535, -0.5188128352165222, 0.2708161771297455, -0.6574217081069946, 0.3803950250148773, -0.49955037236213684, -0.5936864018440247, 0.6104539632797241, -0.15380218625068665, -1.815799355506897, 0.5621525645256042, 0.02613643743097782, 0.20547527074813843, 0.7584517002105713, 0.4670065939426422, 0.28635716438293457, -0.04715486988425255, 0.5888210535049438, 0.640923798084259, -0.06789993494749069, -0.11292041838169098, -0.07502415031194687, 0.01942058466374874, -0.26950180530548096, -0.24910345673561096, -0.2499188333749771, -1.2013425827026367, 0.5288928151130676, -0.674972653388977, 0.6286457180976868, 0.3256201148033142, 0.6179854273796082, 0.12223079055547714, 0.2652078866958618, 0.010328702628612518, 0.9592220187187195, 0.508432924747467, -0.1342429220676422, -0.24474385380744934, -1.111146330833435, 0.13459573686122894, -1.6791045665740967, -1.560677409172058, 0.16627229750156403, -0.37100228667259216, -0.3252086937427521, -0.007951068691909313, 0.6215807199478149, -0.14466170966625214, -0.13739244639873505, 1.007032036781311, 0.9371130466461182, 1.7902504205703735, 0.8262469172477722, 0.34893107414245605, -2.3244314193725586, 0.17708097398281097, 0.6072742342948914, -0.6921127438545227, -0.12291649729013443, -0.6080300211906433, -1.6692205667495728, -0.3996051549911499, -0.19863104820251465, 0.3520650565624237, 0.5919196605682373, 0.0952678844332695, -0.09348103404045105, -0.6232367753982544, -0.6668798923492432, -0.8822164535522461, 0.355527400970459, -0.6405502557754517, 0.08085021376609802, -0.4113909602165222, -0.17984436452388763, -0.6100444197654724, 0.09285444021224976, -0.8634300827980042, 0.30145135521888733, 1.4100704193115234, -1.3940050601959229, 0.5106214880943298, -0.5753755569458008, 0.9430690407752991, 0.42869892716407776, -0.7045379281044006, -0.09644368290901184, -0.9909362196922302, -0.316132515668869, 0.413837194442749, -1.1228609085083008, 0.8886144757270813, 0.12070588022470474, -7.99267053604126, 0.8425664305686951, -0.012846451252698898, -1.3316020965576172, 0.7077151536941528, 0.47076937556266785, -0.3591627776622772, -0.1928301602602005, 0.008736337535083294, 0.331393837928772, 2.2383830547332764, 1.068379282951355, -0.04662620648741722, -0.7128370404243469, -0.548111081123352, 0.08562526106834412, -0.5308432579040527, 0.36620116233825684, -0.07819370180368423, -0.01937682367861271, -1.043662667274475, -0.19488851726055145, 0.10403314977884293, -1.1104644536972046, 1.125207543373108, -0.30132564902305603, -0.13073870539665222, -0.9247808456420898, -0.7355232834815979, 0.6151975989341736, -0.19710156321525574, 0.23575261235237122, 0.35644620656967163, -0.706710159778595, 0.2276308238506317, -1.0687553882598877, 0.4204893708229065, 0.9314727783203125, -0.44341742992401123, -0.13398844003677368, -0.1421225517988205, -0.300499826669693, 0.6158435940742493, -0.9640372395515442, -0.5288779139518738, 0.5596475601196289, -0.3007037341594696, -0.5156739950180054, 1.7267076969146729, -0.1196293756365776, -1.188965916633606, -0.32742491364479065, 0.27425092458724976, -0.07794002443552017, 0.01109231635928154, 0.22079405188560486, -0.701092004776001, 0.10542315989732742, -0.7327467799186707, -0.9921703934669495, 0.6495383381843567, -1.8576377630233765, -1.4594496488571167, 0.0447959378361702, -0.6672393679618835, -0.5605393648147583, -0.12216603010892868, -0.19521167874336243, 0.15617620944976807, -1.1747970581054688, 0.7549450397491455, -1.1346659660339355, 0.7026434540748596, 0.47105804085731506, 1.52423894405365, -0.7614979147911072, -0.35843145847320557, 1.3268203735351562, 0.7593511343002319, -0.7941221594810486, 1.1593254804611206, 1.0406969785690308, 0.09119220823049545, 1.2631092071533203, -0.48486876487731934, -0.5466156601905823, -0.10108315199613571, 0.4205407500267029, 0.13295596837997437, -1.308895230293274, -0.381934255361557, 0.14984311163425446, -0.04397127777338028, 1.0293304920196533, -0.40186870098114014, -0.4873124361038208, 0.5489811897277832, -0.7837350964546204, 0.21456506848335266, 0.07286182045936584, 0.193121075630188, 0.1356406956911087, 1.0228054523468018, -0.3829623758792877, 0.8182981014251709, 1.4181089401245117, 0.41540324687957764, -0.6877377033233643, 0.11402349174022675, 0.3800502419471741, 1.258897066116333, -0.3697921335697174, 0.43879434466362, 0.5118092894554138, -0.5898842215538025, -0.26364749670028687, 1.3955796957015991, 0.2617841064929962, -0.926635205745697, 0.9371705055236816, 0.2708229720592499, -0.06784815341234207, -0.04714281111955643, -0.3822020888328552, 0.5859926342964172, -0.18265998363494873, -0.9117708206176758, 1.2137694358825684, 0.5673066973686218, 0.2046990990638733, -1.2899335622787476, -1.8462129831314087, 0.29642707109451294, -1.1756199598312378, 0.06787022948265076, -0.5954112410545349, -0.4246504008769989, -0.694144606590271, -0.6774070262908936, 0.5237787365913391, 0.12186458706855774, -0.39285463094711304, -0.21963395178318024, 0.8845513463020325, -0.3147020637989044, -0.13466188311576843, 0.7892364263534546, 0.21140971779823303, 0.19478411972522736, -0.33384808897972107, -1.2895666360855103, -0.369716614484787, 1.1416471004486084, 0.5426517128944397, 0.7669293284416199, 0.7270480394363403, -1.7898800373077393, -0.48484957218170166, 0.10828466713428497, -0.20282050967216492, 1.785352349281311, 0.08609103411436081, 0.829415500164032, 0.4121589660644531, 0.903759241104126, -0.43260180950164795, 0.35257798433303833, -0.3752971589565277, 0.7123931050300598, -0.29234376549720764, 0.8558124303817749, -1.2378231287002563, 0.36315128207206726, 1.8718626499176025, -0.6795336604118347, -0.89017254114151, 1.1337114572525024, 2.3683643341064453, 0.9372323155403137, -1.1693319082260132, -0.0027268729172647, 0.5014474987983704, -0.29441288113594055, 1.4764416217803955, 0.1938379853963852, 0.14727415144443512, 0.2595083713531494, 1.2774951457977295, 0.05137860029935837, -1.2067687511444092, 0.5479645133018494, 0.4586698114871979, 0.15131253004074097, -0.16617712378501892, -0.04099496826529503, -1.1370595693588257, -0.3113374412059784, -0.9862676858901978, 0.6727719902992249, 0.06323473155498505, 0.7553378343582153, 1.7304807901382446, -0.21175764501094818, -0.1953473836183548, 0.6389536261558533, 0.7650981545448303, -0.731907069683075, 0.3016265630722046, 0.062067605555057526, -0.3468369245529175, 0.6051761507987976, -0.13608430325984955 ]
1,069
0704.1071
Gusakov Michael
M. E. Gusakov (Ioffe Institute)
Bulk viscosity of superfluid neutron stars
11 pages, 1 figure, this version with some minor stylistic changes is published in Phys. Rev. D
Phys.Rev.D76:083001,2007
10.1103/PhysRevD.76.083001
null
astro-ph nucl-th
null
The hydrodynamics, describing dynamical effects in superfluid neutron stars, essentially differs from the standard one-fluid hydrodynamics. In particular, we have four bulk viscosity coefficients in the theory instead of one. In this paper we calculate these coefficients, for the first time, assuming they are due to non-equilibrium beta-processes (such as modified or direct Urca process). The results of our analysis are used to estimate characteristic damping times of sound waves in superfluid neutron stars. It is demonstrated that all four bulk viscosity coefficients lead to comparable dissipation of sound waves and should be considered on the same footing.
[ { "created": "Mon, 9 Apr 2007 07:30:41 GMT", "version": "v1" }, { "created": "Tue, 2 Oct 2007 08:36:43 GMT", "version": "v2" } ]
2008-12-18
[ [ "Gusakov", "M. E.", "", "Ioffe Institute" ] ]
07
[ -1.1362019777297974, 0.7526742815971375, 1.177968978881836, 1.2825928926467896, -0.8929410576820374, 0.7460172176361084, -0.2781229615211487, 1.1236908435821533, -0.7984451651573181, -0.6952958703041077, -1.1163479089736938, 0.44988495111465454, 0.21959204971790314, -0.5044659376144409, -1.073915958404541, -0.5349534749984741, 1.0312955379486084, -2.143848180770874, 0.24443064630031586, 0.765190839767456, 0.21507295966148376, 0.2907958924770355, -0.008687544614076614, -0.3216291069984436, -0.17407143115997314, -0.4715794324874878, 1.3134907484054565, 1.818765640258789, 1.2808237075805664, -0.5331814885139465, 1.2028470039367676, 0.6705880165100098, 0.6431711912155151, -0.3092847168445587, -0.3384295105934143, 0.529556930065155, 1.2424840927124023, -0.4300045073032379, -1.1762760877609253, 0.47545212507247925, -0.18030881881713867, -0.496189147233963, 0.03372717276215553, 0.2552902400493622, -0.21933424472808838, -1.0955511331558228, 0.5661597847938538, 0.31893348693847656, -0.20332208275794983, 0.0932120606303215, -0.16131140291690826, 1.1738489866256714, -0.03661690279841423, 0.8825292587280273, 0.9283518195152283, 0.97911536693573, -0.608646810054779, 0.7271615266799927, -0.40444424748420715, 1.2751879692077637, -0.7040848731994629, 1.3278565406799316, -1.2036669254302979, 0.5190413594245911, -0.5206885933876038, -0.12894082069396973, 0.5553008913993835, 1.4239299297332764, 0.6635721325874329, -0.9410843849182129, -1.9126942157745361, -0.5942469835281372, 1.130113959312439, -0.21342498064041138, -0.07919690012931824, 0.13980156183242798, 0.594878077507019, -0.13053099811077118, 1.7530543804168701, -0.38689082860946655, -1.0718227624893188, 0.41111186146736145, -1.3102500438690186, -0.8548929691314697, 0.11134742945432663, 0.8088291883468628, -0.18796111643314362, 1.0859003067016602, -0.9665734171867371, -0.44217121601104736, 0.3517541289329529, -0.15412792563438416, 0.715508759021759, -1.0385690927505493, 0.549458920955658, 0.5446658134460449, -0.9063290357589722, -0.032394152134656906, 0.11244247108697891, 0.5639668107032776, 0.689913809299469, -0.822440505027771, 0.3530977666378021, -0.3248261511325836, 0.2813754677772522, 0.4682598412036896, -0.2856452465057373, -0.8158652782440186, -1.7056328058242798, 0.11883816123008728, 0.6761496663093567, -0.6741178631782532, -1.018083095550537, 0.8393803834915161, 0.07355498522520065, -1.055730938911438, -0.1873178482055664, 0.6646092534065247, -1.425599455833435, -1.2480372190475464, -1.096541404724121, -0.24121373891830444, 1.4884752035140991, 0.6772738695144653, 0.974186360836029, -0.5348932147026062, -0.14779821038246155, -0.6217707991600037, 0.15944303572177887, 0.8119149804115295, 0.3043355345726013, 0.18068069219589233, 0.13803741335868835, 2.7019267082214355, -0.6035239100456238, 0.3074335753917694, -0.7080103158950806, 0.01658743992447853, 0.755425751209259, 0.47848275303840637, 0.76280677318573, -0.5026689767837524, 0.25472164154052734, -0.4324994683265686, 0.6672040820121765, -0.1197810098528862, 0.11825668066740036, -0.5041160583496094, 0.8203108906745911, -0.07123326510190964, 1.314436435699463, -0.4366750717163086, -0.8526960611343384, 1.4920769929885864, -0.8201270699501038, 0.021964596584439278, 1.0519323348999023, 0.9366939067840576, -0.14532360434532166, 0.06636564433574677, 0.7029715180397034, 1.0229206085205078, -0.22747045755386353, 0.426170289516449, -0.29991018772125244, 0.799709677696228, 0.2420247495174408, 0.805923581123352, -0.8255534172058105, -1.350075602531433, -0.47527948021888733, 0.7897695302963257, -0.014028260484337807, -0.7912657260894775, -1.2879910469055176, 0.25954392552375793, -0.05553075671195984, 1.2135239839553833, -0.6143381595611572, 0.23796269297599792, 0.224085733294487, 0.14071659743785858, 0.2578558623790741, 0.6253980398178101, 0.3670010566711426, 0.5960027575492859, 0.698994517326355, -1.4184274673461914, -0.7107663750648499, 0.4927085340023041, -0.5115790963172913, 0.8361800312995911, -0.25565314292907715, -0.3771393597126007, 0.5181322693824768, -0.31214439868927, -0.8725380897521973, -0.23729060590267181, -0.6441771984100342, -0.2516021728515625, -0.11767803132534027, -0.2839498817920685, 0.47987785935401917, 0.44893959164619446, 0.20357739925384521, -0.6370148062705994, 0.32505688071250916, 0.3570602238178253, -1.0673786401748657, 0.8182520866394043, 0.3180323541164398, 0.6975279450416565, -0.7025638222694397, -1.1638288497924805, 0.4782218933105469, 0.025400282815098763, -1.0964586734771729, 0.5174461007118225, -0.07628003507852554, -0.6248676180839539, -0.075857013463974, 0.8582750558853149, 1.3797430992126465, -0.28051549196243286, -0.32548120617866516, -1.210209846496582, 0.6530744433403015, 0.48093077540397644, -0.5883037447929382, 0.0018570575630292296, -0.11306241154670715, -0.00185036426410079, -0.5677304863929749, 0.4425932765007019, 1.0064915418624878, 1.0351989269256592, 0.6241007447242737, 0.7916393876075745, -0.9084644317626953, -0.22848346829414368, -0.1301334798336029, 0.28479063510894775, -0.06584137678146362, 0.17205104231834412, -0.4637482166290283, 0.14389139413833618, -0.1992071568965912, 0.7014378309249878, -0.21770165860652924, 0.16415467858314514, 0.6756990551948547, -0.34772592782974243, 0.5347920060157776, 0.007989908568561077, 0.2877710461616516, 0.7914460301399231, -0.9712725281715393, 0.12391176074743271, -0.33975616097450256, -0.10662081837654114, 0.2848806083202362, 0.2753619849681854, -0.06631458550691605, -0.602249026298523, 0.869901180267334, -0.46167436242103577, 0.1791027933359146, -0.2538675367832184, -0.9515849351882935, -1.7639358043670654, -0.0933113768696785, -0.5387133955955505, -0.2892681360244751, -1.6960289478302002, 0.32336169481277466, 0.8582631349563599, 0.13252606987953186, -0.7586022019386292, -0.0927564799785614, -0.17542418837547302, 0.5477937459945679, -0.8539578318595886, 1.3009439706802368, 0.26819726824760437, 0.152077317237854, -0.3561892509460449, 0.8262009024620056, 0.5455524921417236, 1.1624001264572144, -1.465311884880066, 0.16053782403469086, 0.41219258308410645, -0.659965455532074, 0.889851450920105, -1.2665830850601196, 0.3390417993068695, -0.35033977031707764, 0.8510191440582275, 0.2370239496231079, -0.664875864982605, -1.0006340742111206, -0.7007083892822266, -0.8680278658866882, 0.9752188324928284, 0.7499274015426636, -0.18370980024337769, -1.312636375427246, -0.6337555050849915, -0.8594064712524414, 0.0575433112680912, 0.004047715570777655, -0.8952670693397522, -0.46761029958724976, 0.6636621356010437, 0.8692853450775146, 0.5210583209991455, 0.5964396595954895, 0.3495662808418274, -0.771313488483429, 0.17850613594055176, 0.1486716866493225, 0.1286160945892334, -0.8915891647338867, 1.1686137914657593, -0.8466039896011353, -0.36967504024505615, -0.2830505967140198, 0.1634209156036377, -0.4538860619068146, 0.05685114115476608, -0.6892842650413513, 1.2477089166641235, -1.2047321796417236, 0.4187878370285034, 0.5772662162780762, -0.27047377824783325, -0.688660740852356, -0.16256780922412872, 0.9456649422645569, -1.1683626174926758, 0.09328711032867432, 1.1734896898269653, -1.2170822620391846, 1.13291597366333, -1.5140349864959717, -0.08275075256824493, -0.7527618408203125, 0.621180534362793, -0.7955213785171509, 0.4740719795227051, -0.76655513048172, 0.017436910420656204, -0.23247899115085602, 0.8888709545135498, 0.8779374957084656, -0.3413800597190857, 0.8268765807151794, 0.9753730893135071, -0.4240490794181824, -1.0257840156555176, -0.6174171566963196, 0.03428828343749046, -0.04156256094574928, 0.1510402113199234, -0.27642616629600525, -0.019655093550682068, 0.0642378106713295, -0.5742865204811096, 0.198738232254982, 0.7111773490905762, -0.9091935157775879, -0.04632549732923508, 0.9125069379806519, -1.470872163772583, -0.10571151226758957, 1.6510157585144043, 0.20355185866355896, 0.2525555193424225, -0.15622812509536743, -0.6673093438148499, 0.14725394546985626, 0.8888917565345764, -0.6219512224197388, 0.423705518245697, 0.15630346536636353, -0.18176226317882538, -0.46024858951568604, 1.0729396343231201, -1.0285143852233887, 0.5183453559875488, 0.3049474060535431, -0.31221136450767517, 0.25553998351097107, -0.5217652916908264, 0.17167381942272186, 0.09706383943557739, 0.35027533769607544, 0.44172561168670654, 0.7057504653930664, 0.09731511771678925, 0.11296609789133072, 0.4945375919342041, -0.2343301624059677, -0.7498356699943542, -0.24880217015743256, -0.11922208964824677, -0.6457113027572632, 1.0150567293167114, -0.8718448281288147, -1.1026726961135864, -0.6508125066757202, -1.3112311363220215, 0.323337584733963, -0.16568142175674438, 1.18478262424469, -1.6242624521255493, 0.08241838961839676, -0.3568815290927887, 0.26252010464668274, -0.23592880368232727, 0.8364368677139282, 0.5422816872596741, -0.048431918025016785, 0.9541735053062439, -0.8624367117881775, -0.9637102484703064, -0.43756386637687683, -0.20568059384822845, 0.19462478160858154, 0.5520026683807373, 0.46810102462768555, -1.3355385065078735, 0.16291862726211548, 0.7376651167869568, 0.6522669196128845, -0.8695366382598877, 0.039411965757608414, 0.6586076617240906, -0.6698591113090515, 0.25320515036582947, -0.5560187101364136, -0.4780735373497009, -0.2870815396308899, -0.17093974351882935, 0.8888198137283325, -0.4901960790157318, -1.135839819908142, 0.8842946290969849, 0.3400788903236389, -0.00015617521421518177, -0.8233867287635803, 0.9107232689857483, -0.5542271137237549, -0.02822834812104702, 0.20235177874565125, -1.1131459474563599, -0.25972679257392883, 1.0851212739944458, 0.08034205436706543, -0.67842698097229, -1.6362172365188599, 0.06923551112413406, -0.23883289098739624, -2.0057923793792725, -0.2398342341184616, -0.8351572155952454, 0.08049212396144867, -0.575630784034729, 0.016205651685595512, -0.034006744623184204, 0.47586172819137573, 0.043043408542871475, -0.705197274684906, -0.5419597029685974, -0.7791814208030701, 0.9908071756362915, 0.6605843305587769, -0.2901647388935089, -0.37176939845085144, 1.3583697080612183, 0.4496806859970093, -0.12256021052598953, -1.4762094020843506, -0.02178795263171196, -0.08006000518798828, -0.007883312180638313, -1.7480475902557373, -0.3202340602874756, 0.543546736240387, 0.47343745827674866, -0.8749398589134216, -0.3024469316005707, 0.3098277151584625, -1.3940078020095825, 0.2574963867664337, 0.16875772178173065, -0.22217030823230743, -0.2321346402168274, -0.4579964280128479, -1.0117716789245605, 1.2847678661346436, -1.761340618133545, -0.6144676804542542, 0.16982698440551758, -0.7186231017112732, 0.9413619637489319, 0.6808176636695862, 0.5800122022628784, 0.10439249128103256, -1.2590701580047607, 0.09030734747648239, 0.6568686962127686, -0.21664991974830627, 0.40872710943222046, 0.5864731073379517, -0.9701971411705017, 0.007416720502078533, -2.1449856758117676, -0.4184057116508484, -1.6886849403381348, 1.2522565126419067, 0.7807169556617737, 0.012973028235137463, -0.36317363381385803, -0.07185781002044678, -0.36278235912323, 1.3429161310195923, 0.8497344851493835, -1.207207441329956, 0.2553898096084595, -0.6659771203994751, -0.6096069812774658, -0.01019908394664526, 0.007561712991446257, -1.5426467657089233, 0.09116518497467041, -0.13249202072620392, 0.19603340327739716, -0.9996357560157776, 0.6415576934814453, 0.2316630631685257, 0.2503759562969208, 0.6631350517272949, -0.8306377530097961, -0.9994688034057617, -1.0873013734817505, 1.618601679801941, -0.12071641534566879, 0.43141430616378784, 0.5728957653045654, -0.3913688659667969, -0.4990350306034088, -1.5653272867202759, 0.1988711655139923, 1.2544866800308228, -1.0497264862060547, -6.830830097198486, 1.1249254941940308, -0.2614132761955261, 0.18898247182369232, -0.23698383569717407, -0.21872897446155548, -0.9318307638168335, -0.15046265721321106, -0.16749851405620575, -0.9116812348365784, 0.2870194613933563, -0.1176217570900917, -0.7506185173988342, -0.5154032707214355, -0.07271899282932281, -1.4504156112670898, -0.25315186381340027, 0.061504680663347244, -0.961577296257019, 0.18292354047298431, -1.7979475259780884, -0.42712071537971497, -0.040591076016426086, -0.14583556354045868, -1.1902614831924438, 0.8716288805007935, -0.5222185254096985, -0.3421443998813629, -0.6745237112045288, 0.15061098337173462, -0.3384961187839508, 1.6037882566452026, -0.8208774924278259, 1.0771664381027222, 0.5810760259628296, -0.581220805644989, -0.09536311030387878, -0.061324622482061386, 0.09073714166879654, -1.1372662782669067, 0.14525628089904785, 0.21836881339550018, -0.7786733508110046, 0.5894472599029541, -0.3391205966472626, 0.49568986892700195, 0.006262840703129768, -1.1116389036178589, -0.5154984593391418, 0.37864598631858826, -0.45490533113479614, -1.0685237646102905, -0.7223171591758728, 0.5677844882011414, 1.2142353057861328, -0.7086493372917175, -2.360025644302368, -0.23288334906101227, -0.02980227954685688, -0.44523918628692627, 0.4999723732471466, 0.6318384408950806, 0.16989021003246307, -0.7179044485092163, -1.5643868446350098, -0.3038874864578247, -0.3060493469238281, -0.1585855633020401, -0.35437896847724915, -0.8002591729164124, -0.2376471310853958, -1.3329750299453735, -0.47738978266716003, 0.14569923281669617, 0.34163424372673035, 0.13817547261714935, -1.276199460029602, 1.0872858762741089, -0.8934778571128845, 1.248257040977478, -0.5907652974128723, 1.0769145488739014, -0.6478061676025391, 1.2985907793045044, -0.5274121165275574, -1.2131651639938354, -0.07766197621822357, -0.9051710367202759, 0.23903167247772217, -0.6408551335334778, 0.274939626455307, -0.06316909939050674, -0.3589648902416229, -1.7446902990341187, -0.47860363125801086, -0.12613321840763092, -0.16929271817207336, -0.13896916806697845, -0.8527746796607971, 0.6620105504989624, -0.5624127388000488, -1.1211433410644531, 0.44568192958831787, 0.5183216333389282, 0.19967864453792572, -0.654802680015564, -1.1462260484695435, 0.6222363114356995, 0.53642737865448, -0.005402714479714632, -0.03848486393690109, -0.05028703436255455, -0.09867716580629349, 0.08410348743200302, -0.5524237155914307, -1.73531174659729, -0.3102560341358185, 0.5450145602226257, -1.1475437879562378, 0.5060970783233643, -0.6179463863372803, 0.5243192315101624, -0.37377798557281494, 0.8090843558311462, -0.8923865556716919, -0.09267664700746536, -0.749715268611908, -1.136949896812439, -0.3944070339202881, -1.2665992975234985, -0.19326230883598328, -0.0766640305519104, 1.4759690761566162, 0.5913395881652832, 0.0076738749630749226, 1.5456130504608154, -0.15518201887607574, -0.07100170105695724, -0.859356164932251, 0.06347645074129105, -0.19301308691501617, -0.03692297637462616, 1.0174974203109741, -0.524081826210022, 0.3580659031867981, 0.15182319283485413, 0.7152519226074219, 0.3729616701602936, -0.5157588720321655, 1.3585600852966309, -0.2425258755683899, 0.15031757950782776, 1.0027339458465576, 1.6570912599563599, -0.49004045128822327, 0.4510996341705322, -0.11456544697284698, -0.6658239960670471, -0.4271697998046875, -0.26391270756721497, 0.08292200416326523, 1.228444218635559, -0.27786535024642944, -0.40958309173583984, -1.0362218618392944, -0.24284560978412628, -0.26193496584892273, 0.8348085284233093, 0.8511863946914673, 0.7471900582313538, 0.5233075618743896, 0.2159317582845688, -0.9733008146286011, 0.9611222147941589, 0.00437567662447691, -0.31056562066078186, 0.06594862043857574, 0.891694188117981, 0.17513971030712128, -0.8774354457855225, -1.6435474157333374, 0.9323056936264038, 0.08142869919538498, 1.7347408533096313, -0.2873283326625824, 0.3278341293334961, -0.19499872624874115, 1.2121416330337524, 0.3348257541656494, 0.17871560156345367, 0.13425195217132568, -0.4891374707221985, -1.0950034856796265, 0.04791910946369171, -0.38301411271095276, 0.25188949704170227, 0.33970171213150024, 0.5892626643180847, -0.628212034702301, 0.17851994931697845, -0.6003806591033936, 1.0450127124786377, 0.8969619274139404, 0.805851936340332, -0.8582412004470825, 0.16053009033203125, 0.6054040789604187, 0.6696947813034058, 1.5487630367279053, 0.816037654876709, 0.5849743485450745, 0.23974549770355225 ]
1,070
0704.1072
Hirobumi Mineo
H. Mineo, J.A. Tjon, K. Tsushima, and S.N. Yang
A Faddeev Calculation for Pentaquark $\Theta^+$ in Diquark Picture with Nambu-Jona-Lasinio Type Interaction
4 pages, 4 figures
Prog.Theor.Phys.Suppl.168:111-114,2007
10.1143/PTPS.168.111
null
nucl-th hep-ph
null
A Bethe-Salpeter-Faddeev (BSF) calculation is performed for the pentaquark $\Theta^+$ in the diquark picture of Jaffe and Wilczek in which $\Theta^+$ is a diquark-diquark-${\bar s}$ three-body system. Nambu-Jona-Lasinio (NJL) model is used to calculate the lowest order diagrams in the two-body scatterings of ${\bar s}D$ and $D D$. With the use of coupling constants determined from the meson sector, we find that ${\bar s}D$ interaction is attractive while $DD$ interaction is repulsive, and there is no bound $\frac 12^+$ pentaquark state. A bound pentaquark $\Theta^+$ can only be obtained with unphysically strong vector mesonic coupling constants.
[ { "created": "Mon, 9 Apr 2007 07:44:43 GMT", "version": "v1" }, { "created": "Tue, 16 Oct 2007 08:16:30 GMT", "version": "v2" } ]
2008-11-26
[ [ "Mineo", "H.", "" ], [ "Tjon", "J. A.", "" ], [ "Tsushima", "K.", "" ], [ "Yang", "S. N.", "" ] ]
07
[ -0.23560655117034912, -0.11257711052894592, -0.6182869672775269, 0.18288391828536987, -0.4535255432128906, 0.7977360486984253, 0.22398510575294495, -0.7691670060157776, -1.1016100645065308, -0.956904411315918, -0.6996057629585266, -0.5935322642326355, -0.22959758341312408, 0.6533283591270447, -1.1181970834732056, 0.6141510605812073, -1.6830869913101196, -0.9234620332717896, -0.06255245953798294, -1.3903313875198364, 0.2606292963027954, 0.42920568585395813, 0.223067045211792, -1.7782104015350342, -0.5045723915100098, -0.20690515637397766, -0.21977324783802032, 1.1422255039215088, -0.2612529695034027, 0.46733754873275757, 0.22242319583892822, 0.5896252393722534, -0.8602920174598694, 0.7990105748176575, -0.3000503480434418, 0.4122450351715088, -0.050560515373945236, -0.9948979020118713, -0.640492856502533, 0.44274187088012695, 1.1546663045883179, -0.42784470319747925, -0.143245130777359, -0.9744325876235962, 0.5016714334487915, -0.21080948412418365, -1.679210901260376, -0.30790168046951294, -1.0769697427749634, 0.2527124583721161, -0.4506146311759949, 0.4019205570220947, 0.08878777921199799, 0.9981973767280579, -1.538782000541687, 0.08777404576539993, -0.35282814502716064, 0.5982668995857239, -1.2125276327133179, 0.14495670795440674, 0.3203820586204529, -0.37669655680656433, -0.9341267943382263, 0.01867290772497654, -0.047801680862903595, 0.024294627830386162, -0.049673594534397125, -0.5354381203651428, 0.5060495138168335, 0.5785470008850098, 0.10633676499128342, -0.15628650784492493, 0.20482631027698517, -0.7507614493370056, 0.267524391412735, -0.6537641286849976, -0.36156487464904785, -0.6128373742103577, 0.07190828025341034, 0.39680635929107666, -0.0490143746137619, 0.6168304085731506, -0.6874973773956299, -1.1491590738296509, -0.10476866364479065, 0.849993109703064, -0.7330556511878967, 0.15866029262542725, -0.8206207752227783, 0.1178450956940651, -0.4684528410434723, -0.980495810508728, -1.0791064500808716, 0.8867743611335754, -0.3663696050643921, -0.2786286175251007, -0.35057348012924194, 0.22851087152957916, 0.02209967002272606, -1.0132358074188232, -0.07746265828609467, -0.5925342440605164, 0.34889501333236694, 0.536824643611908, -0.8930107951164246, 0.353813499212265, -0.37963375449180603, -0.2754409611225128, -0.5341762900352478, 0.3848407566547394, 0.9592792987823486, -2.432542324066162, 0.02854778990149498, -0.1308235228061676, -0.4025861918926239, -0.015869636088609695, 0.48273295164108276, 0.9705212116241455, 0.9795293807983398, 0.41882818937301636, 0.5425961017608643, -0.5997095108032227, 0.4541567265987396, -0.3403579294681549, 0.2954844534397125, 0.3299877941608429, 0.9242087006568909, 0.14770807325839996, -0.0377311035990715, 0.7647768259048462, -0.6159387230873108, 0.026573942974209785, -0.017795709893107414, 0.5669906735420227, -1.1021124124526978, 1.7430387735366821, 0.030900051817297935, -0.07419126480817795, 0.6274682283401489, -1.5126360654830933, -0.560192883014679, -1.2802187204360962, 0.1445053666830063, -1.0772548913955688, -0.086453877389431, -0.8281077742576599, 0.437103807926178, -0.18197254836559296, 1.3084791898727417, 1.9352470636367798, 0.3764420449733734, -0.3604010343551636, 0.5442704558372498, -0.17078685760498047, -0.14356346428394318, -0.45508143305778503, 0.5328482985496521, 1.622738003730774, -0.2607670724391937, 0.3805781900882721, 0.37540891766548157, 0.40092170238494873, 1.6065082550048828, -0.9103326797485352, 0.0014860708033666015, -1.0821021795272827, -0.134796142578125, 0.20932811498641968, -0.538194477558136, 0.6670610904693604, -0.5723029971122742, -0.20146168768405914, 0.2677823305130005, 0.2641085982322693, -0.3414422273635864, 0.36826515197753906, -0.8672844171524048, 0.7300066947937012, -0.5488220453262329, 1.3577543497085571, 0.32917627692222595, -1.5635597705841064, -0.7458397150039673, -0.5856862664222717, -0.5552142858505249, -0.33110690116882324, -0.39609310030937195, 0.44373834133148193, -0.8535978198051453, -1.6601554155349731, 0.6606879830360413, -1.4427365064620972, -0.8596398830413818, 0.4877108633518219, 0.10409076511859894, 0.10421960055828094, 0.11460922658443451, -0.061135683208703995, -0.28198155760765076, 0.06253816932439804, -0.17234750092029572, -0.05778353288769722, 0.7354925274848938, 0.09597602486610413, -0.47626832127571106, 0.3417481482028961, 0.31038564443588257, 0.878288984298706, -1.239182949066162, -1.2774070501327515, 0.21784602105617523, -0.59834885597229, 0.9234582781791687, 0.3492545485496521, 2.1880252361297607, -0.40640437602996826, -0.5946289300918579, 1.1664937734603882, 0.6831758618354797, -0.2619832456111908, -0.45274627208709717, 1.325461506843567, 1.0186402797698975, 0.30666083097457886, 0.3694290518760681, 0.012535659596323967, -0.613023042678833, -0.3710523843765259, -0.7521311044692993, 0.7004449367523193, -0.2207532525062561, -0.7699914574623108, 0.885635256767273, -0.266145259141922, 0.910829484462738, -0.6669466495513916, -0.4736195504665375, -0.3899996876716614, -0.26995494961738586, 0.4385768473148346, -0.3386511504650116, 1.4346923828125, 1.101731300354004, -1.7017953395843506, -0.6353904604911804, -0.5519812107086182, -0.1110113188624382, 0.32209300994873047, 0.2737831473350525, 0.4379005432128906, -0.4073599576950073, -0.69138503074646, -0.3188020884990692, -0.438579797744751, -0.31398341059684753, -0.3317464292049408, 0.7601591944694519, -0.8404985666275024, 0.019986918196082115, 0.9632461071014404, -0.08096726983785629, 1.2821259498596191, 0.18625830113887787, -0.5964465737342834, 0.7688625454902649, -1.7284884452819824, -0.8729199767112732, -0.07002172619104385, 0.7553834319114685, -1.1208515167236328, -0.4743623733520508, -0.7657506465911865, 0.4231700003147125, -0.0844634473323822, 1.177478313446045, 0.2453530728816986, 0.08906109631061554, -1.482803463935852, 0.33371278643608093, -1.3394834995269775, -0.002567236078903079, 0.8649932146072388, -0.21119771897792816, 1.5102989673614502, -1.059485673904419, -0.388598769903183, 1.727209210395813, -0.8454506993293762, 0.5390043258666992, 0.3049863576889038, -0.7182450890541077, -0.7400940656661987, 0.34599339962005615, -2.232621669769287, -0.7570227384567261, 0.177678182721138, 0.808837890625, 0.06177974119782448, 0.37838372588157654, -0.37946465611457825, 0.024271387606859207, 0.1285191774368286, 0.2190226912498474, -0.8403719067573547, -0.2432652860879898, -0.8007642030715942, -0.0002183155156672001, 0.7501068115234375, -1.494232177734375, -1.0258102416992188, -0.7323128581047058, -1.0361121892929077, -1.2093331813812256, -1.1172531843185425, 0.5245248675346375, -0.5566343069076538, 0.04802350699901581, 0.24341721832752228, -0.004588847514241934, 0.013098763301968575, -0.311489462852478, -0.21902583539485931, 1.101098656654358, 1.5053410530090332, -0.03589782863855362, -1.2773869037628174, -0.0635603740811348, 0.01119096390902996, -0.739660382270813, 0.15039896965026855, -0.2350132167339325, 0.8346038460731506, 0.28627657890319824, -0.5797927975654602, -1.5793483257293701, 0.5981988310813904, 0.3879837393760681, 0.1765078902244568, -0.5621991753578186, -0.29207542538642883, -0.46101558208465576, -0.25562670826911926, -0.1878117322921753, 1.1161363124847412, -1.4611058235168457, -0.03535105660557747, -0.4151012897491455, -0.04764845594763756, -0.965287446975708, 0.3296048641204834, -0.5694916844367981, -1.408260464668274, 1.806570053100586, -0.04653192684054375, 0.6397752165794373, -0.11207067221403122, 0.4977317452430725, 0.28761088848114014, 0.5086949467658997, 0.2609391212463379, 0.3688446879386902, -0.6114360690116882, 0.25810906291007996, -0.495659202337265, -0.5018216967582703, -0.4488911032676697, -0.6409218907356262, -0.3782448470592499, -0.25572338700294495, 0.5438420176506042, -0.7762838006019592, -0.3075791299343109, 0.32824328541755676, -0.17695872485637665, -0.036130402237176895, -0.9982422590255737, -1.2443655729293823, -0.01107674092054367, -0.20255506038665771, -0.3159160017967224, 0.5725629329681396, -0.8233581185340881, 0.4556053876876831, 0.8470309376716614, 0.632344126701355, 0.7140371203422546, 0.6111886501312256, -0.42069414258003235, 0.28137415647506714, -0.2003115862607956, -0.6738040447235107, 0.007968091405928135, -0.36076870560646057, 0.1382267326116562, -0.6251567602157593, 0.21225494146347046, 0.3785732090473175, 0.9321479201316833, -0.2465342879295349, 0.8868821263313293, -0.191924586892128, 1.0358448028564453, -0.1826079934835434, -0.7947685718536377, 0.5215927958488464, -0.18488022685050964, 0.7857476472854614, 0.5125237703323364, -1.5421019792556763, -0.02687535062432289, 1.5655925273895264, 1.0203009843826294, -0.37098580598831177, -0.3118555247783661, -0.16616137325763702, -0.8356794714927673, 0.8250669240951538, 0.04095517471432686, 0.273554265499115, -0.4589817225933075, 0.0270935520529747, -0.35692331194877625, -0.9926583766937256, -0.005300726275891066, 0.8106751441955566, -0.8115605711936951, -0.45007991790771484, -0.5008347034454346, 0.2737552523612976, 0.46115532517433167, 0.933601438999176, 0.31482571363449097, -0.8334169387817383, 0.11412350088357925, -0.35929903388023376, 0.4331502616405487, 0.41404983401298523, 1.6296772956848145, -0.03127352520823479, -0.8389853835105896, 0.49812036752700806, -0.3574959933757782, 0.12512725591659546, -0.814570426940918, -0.760685384273529, 0.01183137483894825, 0.059343840926885605, 0.6723331809043884, -0.9044016599655151, -0.4785219430923462, -0.5313782095909119, 0.7542663812637329, -1.0755184888839722, 2.2763328552246094, -0.9890780448913574, -1.0864920616149902, 0.16608454287052155, -0.6617053151130676, 0.16221605241298676, 0.8321190476417542, -0.8109734058380127, -0.4655535817146301, 1.723933458328247, -1.407557725906372, -0.3250696063041687, -0.03352046012878418, 0.6013196706771851, -0.8173660039901733, 0.014944400638341904, -0.659252405166626, -0.07114717364311218, -0.14026452600955963, 0.9631335139274597, -0.3095351457595825, -0.13921400904655457, -0.31014424562454224, 1.5481386184692383, 1.0446927547454834, 1.2920798063278198, 0.022382240742444992, 0.36765775084495544, 0.9948292970657349, -1.0147063732147217, 0.7133768200874329, 0.4380321502685547, 0.4854835569858551, -0.7619225978851318, 0.8059616684913635, 0.7373912334442139, 1.075505256652832, 0.6913301944732666, 1.0009124279022217, 0.6925418376922607, 1.3065913915634155, 1.033866286277771, 0.5710646510124207, -0.368000864982605, -0.29110491275787354, -0.47280892729759216, 0.0628969818353653, 0.1834680140018463, -1.1151893138885498, 0.5490398406982422, -1.2348716259002686, -0.1982954442501068, -0.15444520115852356, 0.7033440470695496, -0.21101340651512146, -0.03117223083972931, -0.3125605285167694, 0.527896523475647, 0.4692128896713257, -0.6842086315155029, -0.34716662764549255, 0.7971595525741577, 0.5488439798355103, 0.8893478512763977, -2.4149582386016846, -0.16249465942382812, -1.872576117515564, -0.5818890333175659, -0.07822711020708084, -0.48829326033592224, 0.14478234946727753, -0.9091095924377441, 0.4873782694339752, 0.12181232869625092, 0.9385751485824585, -0.8701040148735046, -0.45072290301322937, -0.5510247945785522, -0.17677581310272217, -0.2381567806005478, 0.42327409982681274, -0.21505053341388702, 0.2802821099758148, 0.08699391037225723, 0.39716488122940063, -1.3954706192016602, 0.2763860821723938, -0.40929922461509705, 0.22292560338974, -0.9372667670249939, -1.2747678756713867, 0.8566573858261108, -1.0820060968399048, 0.7246842980384827, 0.35489171743392944, -0.264800488948822, 0.3922691345214844, -1.2036970853805542, -0.2862071990966797, -1.057323932647705, 0.36641979217529297, 0.1332891881465912, -0.07026605308055878, -7.1155900955200195, 1.1876417398452759, 0.5805011987686157, -0.19665946066379547, 0.7163839340209961, -1.268440842628479, 0.13997316360473633, -1.379077672958374, 0.3036384880542755, 1.256758451461792, 0.722400426864624, 0.5954222083091736, -1.3673663139343262, -0.44641444087028503, 0.3015308678150177, 0.3257368206977844, 0.4640616178512573, -1.4061156511306763, -0.5268155336380005, -0.18547993898391724, -1.3109623193740845, -0.2657870352268219, -1.1378836631774902, -0.33239641785621643, 0.24968183040618896, -0.8064536452293396, 0.18544824421405792, -0.22682510316371918, -0.05542866885662079, 0.5043942332267761, -0.14782488346099854, 1.0257576704025269, 0.011470132507383823, 0.2695695757865906, 0.925207257270813, 0.5423861145973206, -0.9101428389549255, 0.4025252163410187, -0.20023494958877563, -1.309766173362732, -0.01627333089709282, 0.20111796259880066, 0.7675032019615173, -0.9459152221679688, 0.6250969767570496, -0.30571871995925903, 0.3625127077102661, -0.05183843895792961, -0.3375861942768097, 0.48477938771247864, 0.48383843898773193, -1.2192728519439697, 0.8795701861381531, -0.27995428442955017, -1.191389560699463, 0.27795329689979553, -0.9855921268463135, 0.7698979377746582, -0.457966685295105, -0.9065549373626709, 0.6081947684288025, -0.47056323289871216, 0.14862868189811707, -0.5605841279029846, -0.76465904712677, -0.3823385536670685, 0.828839898109436, 0.2337825447320938, -0.07234659790992737, 0.9416007399559021, -0.8861562609672546, -0.4888100326061249, -0.5821030735969543, -0.3394818603992462, -0.08657461404800415, -0.7687914967536926, -1.0139122009277344, 0.6506379842758179, -0.3642042577266693, 0.24381257593631744, 1.6144418716430664, -0.2543832063674927, -0.012701013125479221, 0.4470372200012207, 0.2560001313686371, -1.934482216835022, 0.2610274851322174, -0.4666767418384552, -0.5154250264167786, -0.04120306670665741, -0.03768008202314377, -0.7349962592124939, -0.5826210975646973, 0.21467521786689758, -0.7728748917579651, 1.2733869552612305, 1.6377315521240234, -0.2273217886686325, -0.5164791345596313, 0.26949766278266907, -0.4044138193130493, -0.010125933215022087, -0.29191821813583374, 0.5714311599731445, 0.4595786929130554, -0.4742284417152405, -0.6142593622207642, 0.7863457202911377, -0.39699026942253113, -0.6165496110916138, 1.018367886543274, -0.4054352045059204, -0.9371899962425232, 0.39111006259918213, -1.047653317451477, 0.45809459686279297, 0.07504866272211075, -1.3206970691680908, 0.6962839365005493, -1.0535975694656372, -0.5383282899856567, 1.727367639541626, 0.46061408519744873, 0.8549069166183472, 1.7031043767929077, 1.0591530799865723, 0.014936000108718872, 0.794589638710022, -1.248955249786377, -0.15356290340423584, 0.749768078327179, 0.11860889196395874, -0.08423250913619995, 1.069133996963501, -0.8870303630828857, 0.35181447863578796, -0.5252760648727417, 0.07707883417606354, 0.2559817135334015, 0.6881173253059387, 0.030751680955290794, 0.47851860523223877, 0.8094155192375183, 0.10672273486852646, 0.00419027591124177, 0.5653292536735535, 1.530159592628479, -0.4965806007385254, 1.6880967617034912, 0.7640929818153381, -1.4818923473358154, 1.0556777715682983, 1.1629257202148438, 1.7541084289550781, -0.21447502076625824, -0.07807613164186478, 0.009803957305848598, -1.527063250541687, 0.1691373735666275, -0.7537286281585693, 0.12469059228897095, 0.8010086417198181, 0.024356389418244362, -0.5320363640785217, -0.19927583634853363, -0.7097135186195374, -0.6987191438674927, 0.801487147808075, 1.4515070915222168, 0.6874668002128601, 0.3066202402114868, 0.6796063184738159, 1.2593446969985962, 0.03837811201810837, 1.1731843948364258, 0.9666607975959778, -1.801370620727539, -0.5569661259651184, 1.5033818483352661, -1.7146743535995483, -0.15792307257652283, -0.9088382720947266, 0.41640356183052063, -0.3758237063884735, -0.2776375114917755, 0.9272672533988953, -0.004031552467495203, 0.18105605244636536, 0.2851628363132477, -0.2551558315753937, -0.013474532403051853, 0.14830061793327332, -0.8647006154060364, -0.08802064508199692, 0.24666906893253326, 0.2882104218006134, 0.24602855741977692, 0.39874592423439026, -1.7287911176681519, 0.11691794544458389, -0.5719106197357178, -0.2369467318058014, 0.10105724632740021, 0.5518224835395813, 0.1968703269958496, -0.1917482316493988, 1.1012955904006958, -0.13745644688606262, -0.5982423424720764, 1.1015944480895996, 0.7968745827674866, 0.2705695629119873 ]
1,071
0704.1073
Stefano Ansoldi
Stefano Ansoldi and Lorenzo Sindoni
Shell-mediated tunnelling between (anti-)de Sitter vacua
LaTeX, 23 pages, 20 figures: in print on Phys. Rev. D; structure of the paper streamlined, some typos corrected, one reference added, one figure added with a contourplot of the transition probability; various corrections also in the figures with the Penrose diagrams of the tunnelling
Phys.Rev.D76:064020,2007
10.1103/PhysRevD.76.064020
MIT-CTP-3732
gr-qc hep-th
null
We give an extensive study of the tunnelling between arbitrary (anti-)de Sitter spacetimes separated by an infinitesimally thin relativistic shell in arbitrary spacetime dimensions. In particular, we find analytically an exact expression for the tunnelling amplitude. The detailed spacetime structures that can arise are discussed, together with an effective "regularization scheme" for "before tunnelling" configurations.
[ { "created": "Mon, 9 Apr 2007 07:58:25 GMT", "version": "v1" }, { "created": "Mon, 16 Apr 2007 12:37:09 GMT", "version": "v2" }, { "created": "Mon, 10 Sep 2007 13:38:56 GMT", "version": "v3" } ]
2008-11-26
[ [ "Ansoldi", "Stefano", "" ], [ "Sindoni", "Lorenzo", "" ] ]
07
[ 0.8443422317504883, 0.3156890273094177, -1.563747525215149, 0.17297948896884918, 0.8486777544021606, -0.3618094027042389, -1.6357470750808716, 0.4460589587688446, -0.608627200126648, 0.7882837653160095, -1.0382461547851562, -0.7533262968063354, -0.18936848640441895, -0.28502652049064636, -0.23482422530651093, 0.3691253066062927, -0.11861024796962738, -0.34128785133361816, 0.45595839619636536, 0.719122052192688, 0.2937907576560974, -0.06314774602651596, -0.44360893964767456, 0.5789767503738403, -0.1508457213640213, -0.6366450190544128, -0.8763185143470764, 1.1249639987945557, -0.6879336833953857, 0.09948335587978363, -0.2556819021701813, 0.5847870707511902, -0.37370890378952026, 0.492710679769516, -1.006433129310608, -0.10029157996177673, 1.7950873374938965, -0.08332559466362, -2.3315868377685547, -0.8050700426101685, 0.4876944124698639, 0.6347768306732178, 1.2758606672286987, 0.04723070189356804, -0.2671225070953369, -0.5800003409385681, -0.24456526339054108, -0.15452034771442413, 0.2440585494041443, 0.40773460268974304, 1.0802726745605469, 0.8294532299041748, 1.1064183712005615, 0.46012377738952637, -0.5740434527397156, 0.36204054951667786, 0.36998647451400757, -0.07069015502929688, 0.7043424844741821, -0.1451837569475174, -0.5769548416137695, 0.5184233784675598, -0.11741192638874054, 0.02837241441011429, -0.4018702507019043, -0.06577522307634354, -0.29583099484443665, 0.4889855980873108, -0.2718014717102051, 1.1661224365234375, 0.20191200077533722, 0.22894540429115295, -0.6675673723220825, -1.5859794616699219, 0.34680378437042236, -1.5822335481643677, 0.21413762867450714, 0.2521597743034363, 0.21103984117507935, -1.3565075397491455, -0.4218073785305023, 1.0581512451171875, -0.7006532549858093, -1.1802153587341309, -0.42008623480796814, -0.4075809717178345, 0.2722383439540863, -0.6254261136054993, -1.5123050212860107, 0.5153319835662842, -0.13279606401920319, -0.9165652990341187, 0.43682923913002014, -0.2688799798488617, 0.19922448694705963, -0.35107266902923584, -0.9291520714759827, 0.011503211222589016, 0.0736733078956604, 1.0282526016235352, 0.24576731026172638, 0.10185418277978897, 0.2847476303577423, -0.19644901156425476, -1.2479439973831177, 0.31317761540412903, -1.0262089967727661, 0.902352511882782, 0.43085184693336487, -0.3483726382255554, -0.3033987581729889, -0.5640631914138794, -1.1319341659545898, -0.5790558457374573, -1.5071349143981934, 1.2657948732376099, -0.7525959014892578, 0.40395358204841614, -1.1460672616958618, -0.6213492155075073, -0.3406096398830414, 0.2902347445487976, -0.027438165619969368, 0.14279551804065704, 1.4045779705047607, 0.8740929961204529, -0.5188880562782288, -0.13964709639549255, 0.09978081285953522, -0.339464396238327, -0.8032445311546326, -0.1017654538154602, -0.38034647703170776, 0.12469244003295898, -0.1716427206993103, -0.4690484404563904, -0.41673505306243896, -0.5986173748970032, 0.10651536285877228, 0.2038092166185379, 0.8999268412590027, -0.17012213170528412, -0.44205719232559204, 0.68645840883255, -0.5272606611251831, -0.11468446999788284, 0.3271114230155945, -0.3644707500934601, 1.0039464235305786, 1.1461551189422607, -1.1215252876281738, -1.8822609186172485, -0.6788804531097412, 0.2585392892360687, 0.31976962089538574, 0.18653377890586853, -1.0329362154006958, 1.10243558883667, -0.051180582493543625, -0.05327964201569557, 1.7491041421890259, -1.2640432119369507, 0.6606218218803406, -0.8795180320739746, -0.9838529229164124, 0.23873041570186615, 0.06717284768819809, -0.6086513996124268, -0.9212906956672668, -0.9168080687522888, -0.8456951975822449, -0.6985865831375122, -0.4994947612285614, 1.3823046684265137, -0.26254814863204956, 0.13476498425006866, 0.16628994047641754, -0.41018396615982056, -0.21906153857707977, -0.2619529664516449, 0.29874148964881897, -0.5156716108322144, 0.19379889965057373, 0.45803335309028625, 0.5117762088775635, 0.6976519823074341, 1.7379279136657715, 0.02370760403573513, -0.025488195940852165, -0.02390865609049797, 0.6327381134033203, 0.0013438076712191105, -0.5023702383041382, -0.6925371885299683, 0.10594738274812698, 1.09333336353302, -0.24109724164009094, 1.44586980342865, 0.08292429894208908, -0.2100909799337387, -0.8945047855377197, 0.5878775119781494, -1.1352235078811646, 0.042328935116529465, -0.7316141724586487, 0.3852226734161377, 0.4643613398075104, 0.3468051552772522, -0.48732537031173706, -0.14105166494846344, 0.07494761049747467, 0.47137337923049927, -0.01919805072247982, -2.4537365436553955, -0.09758052229881287, 0.0023420737124979496, 1.3209400177001953, -0.9597755670547485, 0.0025872490368783474, 1.2003411054611206, -0.2030942142009735, 0.17786598205566406, 0.7746970653533936, 0.7331357598304749, -1.3756519556045532, -0.7588233351707458, 0.7480869293212891, 0.04762312397360802, -0.09130605310201645, -0.7238682508468628, -0.058180488646030426, -1.2188897132873535, -0.35999032855033875, -0.5347977876663208, -0.6028152108192444, 0.3387262225151062, 0.36106565594673157, -0.23724694550037384, 0.15026284754276276, 0.06415408849716187, 0.2927098572254181, -0.3586641848087311, 0.21189668774604797, -1.0010631084442139, -1.1118520498275757, 0.5789214372634888, 0.8489755988121033, -0.1556186079978943, 1.3060797452926636, 0.3532818555831909, 0.7044020295143127, -0.1457897275686264, 0.8111852407455444, -0.7937390208244324, 0.3210931122303009, -0.11539015918970108, -1.0542291402816772, -0.150045245885849, -2.3550631999969482, 0.35461175441741943, -0.4743904769420624, 0.23149216175079346, -0.5240517258644104, 0.11197566241025925, 0.7512068748474121, 0.3274507522583008, -0.25385600328445435, 0.05641508474946022, 0.909814178943634, 0.1605982780456543, -2.0658071041107178, 0.1807338297367096, 0.38164156675338745, -0.8160353899002075, 0.014142976142466068, -0.46472012996673584, -0.027522046118974686, -0.8256574273109436, 0.41545596718788147, 0.6866499185562134, -0.02913092076778412, 0.21606579422950745, -1.2422106266021729, 0.5669769048690796, 0.40553250908851624, -0.2657339572906494, -0.1360764056444168, 0.6209824681282043, -0.26108503341674805, -1.1017149686813354, 1.0873849391937256, -0.8247928619384766, -0.6499677300453186, -0.26918959617614746, 0.7843035459518433, -1.3256996870040894, -0.5002802610397339, 1.1696850061416626, 1.1356828212738037, -0.40243157744407654, 0.16412591934204102, -0.5474486947059631, -0.6543158888816833, 0.9112361073493958, 0.7480986714363098, -1.049932599067688, 0.10023344308137894, -0.34062957763671875, -0.6680800318717957, -0.3216072618961334, 0.26345136761665344, 0.44961798191070557, -0.49409207701683044, 1.029741883277893, 0.3869832158088684, -1.98333740234375, -0.7368965744972229, 0.877220869064331, 0.7427236437797546, -1.754381775856018, 0.6230611205101013, 0.5686127543449402, -0.404064416885376, -0.025430956855416298, -0.694074273109436, -0.6857956647872925, -0.017287421971559525, -0.46284469962120056, -0.15605692565441132, -0.9527926445007324, 0.9049607515335083, -1.5187499523162842, -1.180772066116333, -0.5945281982421875, 0.1360483467578888, -0.429599791765213, -0.6845521330833435, 0.22310547530651093, 0.9435521960258484, -0.34051525592803955, -0.8568037748336792, -0.029918011277914047, -0.948665976524353, 0.457050085067749, 0.08771510422229767, -0.10271449387073517, 0.2856113910675049, -1.0688692331314087, -0.12697826325893402, -0.08077749609947205, -0.14160722494125366, 0.5023664236068726, -1.3783565759658813, -1.0287150144577026, 1.675180435180664, -0.3231917917728424, 0.39372748136520386, 1.024760365486145, 0.3748640716075897, -0.25403639674186707, 0.4590253233909607, 0.030156519263982773, 0.9673314094543457, -0.5598645210266113, 0.533526599407196, 1.2218252420425415, -0.33600977063179016, 0.2022445648908615, -0.21777106821537018, 0.5005167126655579, -0.4398018717765808, 0.025595780462026596, 0.11522427201271057, -0.9289262890815735, 0.3522628843784332, -0.35971522331237793, 0.512658953666687, 0.46478670835494995, -0.2971469461917877, 0.39703214168548584, -1.4026150703430176, -1.2328295707702637, 0.9592468738555908, -0.31763628125190735, -0.15268193185329437, 0.5334598422050476, -0.6919224858283997, 0.8719466328620911, -0.6957002282142639, -0.011982935480773449, -0.9741947054862976, -0.13936208188533783, 0.49956563115119934, -0.3492274880409241, -0.07938890159130096, 0.1581701934337616, -1.1874226331710815, -0.4830089211463928, 0.6366899609565735, 0.08599010109901428, -0.1504979133605957, 0.5128629207611084, -0.6322728991508484, -0.6386759877204895, -0.6025064587593079, -0.9598562121391296, 0.4148824214935303, 0.8428133130073547, 0.5542035102844238, -1.8834211826324463, -0.17666204273700714, -0.10210075229406357, 0.7640936970710754, 0.18702515959739685, 1.4460303783416748, -0.5415716171264648, -0.07889185845851898, 0.6447229981422424, 0.14411693811416626, 0.19066515564918518, 0.7309721112251282, -0.8904067277908325, 0.9440447688102722, 0.6387258768081665, 1.5043346881866455, 0.008127736859023571, 1.1463059186935425, -0.4965539872646332, -0.5804113745689392, -0.40254929661750793, -0.9048871994018555, 0.8515750765800476, 0.8682741522789001, 0.373933881521225, -0.25717905163764954, 0.0006877480773255229, -0.6114521622657776, 0.43854761123657227, -0.6102648377418518, 0.632043182849884, 0.019491760060191154, -0.4067518413066864, 0.6126188635826111, -1.267704725265503, 0.29067152738571167, 0.43592265248298645, 0.506961464881897, 1.6121559143066406, 1.0864267349243164, -0.17545774579048157, 1.5430094003677368, 0.27853935956954956, 0.19637063145637512, -0.164449080824852, -0.5481939315795898, -0.43264880776405334, -0.449894517660141, -0.49467432498931885, 0.13242249190807343, 0.5146889686584473, -0.9986631870269775, -0.24936798214912415, 1.3028793334960938, -0.5380455255508423, 0.9328407049179077, -0.6054763793945312, 0.19035901129245758, -0.5689334869384766, -0.09966082870960236, 1.2459890842437744, 0.3748900592327118, -0.6926970481872559, -0.963129460811615, -0.3883526027202606, -0.10323024541139603, 1.2486721277236938, -0.9733021259307861, -0.0505656823515892, -0.6256733536720276, -0.4222487807273865, 1.027599811553955, 1.1495018005371094, 0.2374623417854309, 1.0583873987197876, 0.2876604497432709, -0.11349226534366608, 0.6627008318901062, 0.08433987200260162, -0.07908080518245697, 1.883460521697998, 0.0966348946094513, -0.6037558913230896, -0.39755699038505554, -0.3245556652545929, 1.964733362197876, 0.43281102180480957, 0.6714659929275513, 1.035969614982605, 0.14818443357944489, -0.34036141633987427, 0.633650004863739, 0.6963430643081665, -0.5845841765403748, -1.333391785621643, -2.2193572521209717, -1.0308862924575806, 0.2603982090950012, 0.7171998023986816, -0.23322463035583496, 0.43931081891059875, 0.14352038502693176, -0.23200097680091858, 0.8226168751716614, -0.4242132604122162, -0.038170795887708664, -0.15129612386226654, -0.7225846648216248, -2.8032209873199463, 0.11166178435087204, -0.19634416699409485, 0.2732488512992859, -0.5461868643760681, -0.21221676468849182, -0.6729007959365845, 0.30602267384529114, 0.038996465504169464, -0.6691413521766663, 0.4803712069988251, -0.9962074756622314, 1.140737771987915, -1.0828968286514282, -0.34646815061569214, 0.5199165344238281, -0.85124272108078, -0.3769964277744293, -0.8670861124992371, 0.06177487596869469, 0.577591061592102, 0.03295714780688286, -0.7500196099281311, 0.61199551820755, -0.5444386601448059, -0.6529783606529236, -0.291133850812912, 0.7813423871994019, -0.5778113007545471, 0.24741828441619873, -0.06571176648139954, -0.30259567499160767, 0.41478431224823, 0.3556984066963196, 0.08576110005378723, -0.3500305116176605, 0.9327728748321533, 0.1710914969444275, -0.4437550902366638, -7.319481372833252, 0.20769160985946655, -0.253149151802063, -0.07893875986337662, 0.5879978537559509, -1.3338285684585571, -0.5254661440849304, -0.535952091217041, 1.205538272857666, 0.7305852174758911, 2.45682954788208, 0.5029881000518799, -0.17056621611118317, 0.3413773775100708, -0.37304365634918213, -0.12930841743946075, -0.7136538028717041, -0.05372215062379837, -0.4972144365310669, 1.6380102634429932, -1.5396536588668823, 0.5678717494010925, 0.19646055996418, -0.4598678946495056, 0.2524555027484894, -0.051466137170791626, 0.4245394766330719, -0.24883626401424408, 0.46159133315086365, 1.4728360176086426, -0.31247925758361816, 1.7358920574188232, -0.809969961643219, -0.2739889323711395, 0.057683076709508896, -0.9097213745117188, 0.43895530700683594, -0.5319381356239319, 0.48411211371421814, -0.7107291221618652, 0.7628316879272461, -0.16504712402820587, 0.7304639220237732, 0.4997405707836151, 1.822662591934204, 1.1849125623703003, 0.2403264343738556, 0.7271189093589783, 0.032339345663785934, -1.1576029062271118, -0.884746253490448, 0.0932752713561058, 0.4846797585487366, -0.6480259299278259, 0.36142459511756897, -0.46986764669418335, -1.0531097650527954, -0.30880045890808105, -0.20281068980693817, -0.2733653485774994, 0.7883941531181335, -2.031576156616211, 0.1193208396434784, 0.8544685244560242, 1.604580044746399, -1.6849377155303955, 1.4797111749649048, -0.10042262822389603, -0.7004674077033997, 0.27640441060066223, -0.5444491505622864, -0.5888248682022095, 0.3343020975589752, -0.44586941599845886, -1.6371307373046875, -0.22555221617221832, 1.478822946548462, 1.724782109260559, 0.39450275897979736, -0.9326261878013611, 0.5914308428764343, 0.19134365022182465, 0.5458241701126099, -0.9719270467758179, -0.5475018620491028, -0.18173541128635406, 0.31617802381515503, 0.20367588102817535, 0.16886965930461884, -0.07206670194864273, 0.3829992115497589, 0.43808361887931824, 0.9289996027946472, 0.22934432327747345, 0.26659417152404785, -0.5580798387527466, 0.8625087738037109, -1.6938849687576294, -0.6842560768127441, -0.5234518647193909, -0.014652078971266747, -0.3923427164554596, 1.1608306169509888, 0.5159899592399597, -0.2504044473171234, -0.6664586067199707, -2.572174310684204, -0.8910923004150391, -0.5200545787811279, -0.0694340243935585, 0.4660128653049469, -0.004385999869555235, 0.669398307800293, -0.3945387601852417, 0.17857056856155396, -0.19753417372703552, -0.6423876285552979, 0.052605271339416504, -0.06632385402917862, -0.5790061354637146, -0.32820624113082886, 0.7653488516807556, 1.076311469078064, -1.3653680086135864, -0.4042305648326874, -0.9737157821655273, 0.26835960149765015, -0.6721715927124023, 0.14502742886543274, -0.43182989954948425, -0.6052405834197998, -0.6257315874099731, -0.03828691318631172, -1.016603946685791, 1.304065227508545, 0.30390051007270813, -0.4247133731842041, -0.5618709921836853, 0.601116418838501, 0.3580489456653595, -0.430185467004776, -0.18030722439289093, -0.2637398838996887, 0.15652872622013092, 0.2113369256258011, 0.4397391378879547, 0.4892657697200775, -0.21124543249607086, -0.674268901348114, -0.7566697597503662, 0.24897465109825134, -0.6131647825241089, 1.183107852935791, 1.1065884828567505, -0.2999471426010132, -0.7137052416801453, -0.24948233366012573, -0.06325045973062515, -0.2538149952888489, -0.5974773168563843, -0.4902202785015106, 0.1827360838651657, 0.22858425974845886, 1.0087672472000122, 0.03487532585859299, -0.2126951813697815, 0.7302746772766113, 1.196026086807251, -0.0895363837480545, 0.3021319508552551, 0.2972799837589264, 0.08930350095033646, -0.2437649667263031, -0.5677439570426941, 0.577103316783905, -0.6874424815177917, 1.0405821800231934, -0.567826509475708, -0.41150909662246704, 0.5820470452308655, 0.33274078369140625, -0.13925988972187042, 0.1206464171409607, -0.5966065526008606, -0.7352157235145569, 1.0105631351470947, -1.2156338691711426, -0.39379891753196716, -0.3511079251766205, 0.5804983973503113, -0.4078461527824402, -0.10165935754776001, -0.4279725253582001, -0.11444633454084396, -0.0849708616733551, -0.10543057322502136, -0.5257894396781921, -0.5035609602928162, -0.9886118769645691, -0.7751450538635254, -0.4911618232727051, 1.526911735534668, 0.39918312430381775, 0.053706537932157516, 0.2825513780117035, 0.7652533650398254, 0.1521887630224228, 0.28981906175613403, 0.3858852684497833, -0.9363227486610413, -1.171648621559143, 0.004544607363641262 ]
1,072
0704.1074
Satoshi Aoki
Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi, Akimichi Takemura
Markov basis and Groebner basis of Segre-Veronese configuration for testing independence in group-wise selections
25 pages, 5 figures
Annals of the Institute of Statistical Mathematics (2010). Vol. 62, 299--321
10.1007/s10463-008-0171-7
null
math.ST math.AC stat.AP stat.TH
null
We consider testing independence in group-wise selections with some restrictions on combinations of choices. We present models for frequency data of selections for which it is easy to perform conditional tests by Markov chain Monte Carlo (MCMC) methods. When the restrictions on the combinations can be described in terms of a Segre-Veronese configuration, an explicit form of a Gr\"obner basis consisting of moves of degree two is readily available for performing a Markov chain. We illustrate our setting with the National Center Test for university entrance examinations in Japan. We also apply our method to testing independence hypotheses involving genotypes at more than one locus or haplotypes of alleles on the same chromosome.
[ { "created": "Mon, 9 Apr 2007 07:59:09 GMT", "version": "v1" }, { "created": "Wed, 6 Feb 2008 00:58:16 GMT", "version": "v2" } ]
2010-02-18
[ [ "Aoki", "Satoshi", "" ], [ "Hibi", "Takayuki", "" ], [ "Ohsugi", "Hidefumi", "" ], [ "Takemura", "Akimichi", "" ] ]
07
[ 0.5019152164459229, -0.05577898025512695, -0.1822456419467926, -0.21093131601810455, -0.24157977104187012, -0.5978561639785767, -0.8845934867858887, -0.2420358955860138, 0.3924291431903839, -0.15620797872543335, 1.1648356914520264, 0.3925504982471466, 0.7733875513076782, -1.0778687000274658, 0.21488240361213684, -0.20985087752342224, 0.700951337814331, 0.0585937574505806, -0.39221319556236267, -0.48486003279685974, 0.7599043846130371, -0.45497241616249084, -0.5859732627868652, 0.253896027803421, 0.28751030564308167, 0.22097404301166534, -0.9056506156921387, -0.5411577224731445, -0.5416980385780334, -0.38011035323143005, -0.08499174565076828, 0.5751440525054932, -0.017977887764573097, -0.007871655747294426, -0.4766451418399811, 0.15238605439662933, 0.5730897188186646, -1.1329725980758667, 0.06902141869068146, 0.891575813293457, -0.8194091320037842, 0.21666856110095978, 1.1376372575759888, 0.38237282633781433, -0.14072902500629425, -0.06353101134300232, 0.12717404961585999, 0.8491551280021667, 0.5861606001853943, 0.19425460696220398, -0.49815472960472107, 0.5385295748710632, 0.8014452457427979, 0.192549929022789, 0.2715044915676117, 0.9171584248542786, 0.20332466065883636, -0.5052546858787537, 0.2672640085220337, -0.7647443413734436, -0.5632497668266296, -0.6831380724906921, 0.0830112025141716, 0.6195278763771057, 1.1676762104034424, -0.18889766931533813, -0.48400524258613586, -0.38179510831832886, 0.5481185913085938, -0.9685162901878357, 0.20281168818473816, -1.102797031402588, 0.510476291179657, 0.5648491978645325, -1.6019649505615234, 0.4905424416065216, -0.5539475679397583, 0.3167063891887665, 0.3269609212875366, -0.06390456855297089, 0.3781960904598236, 0.9151908159255981, 0.5588931441307068, 0.3269485533237457, 0.5470850467681885, 0.4216915965080261, -0.033804334700107574, -0.6617125272750854, -1.0232086181640625, -0.23400132358074188, -2.7659645080566406, 0.25182870030403137, -0.23488552868366241, -0.09436438232660294, -1.3888617753982544, -0.3772173523902893, -1.5463858842849731, 0.45038527250289917, 0.13832412660121918, 1.08079195022583, 0.36786261200904846, 0.9050800800323486, 0.3653702735900879, -0.9138716459274292, -0.5124205946922302, -0.2231181561946869, -0.8428249359130859, -0.6911880373954773, -0.37908631563186646, -0.28464367985725403, -0.3980344235897064, 0.7217926979064941, -0.8681191802024841, 0.06080404296517372, -0.07967442274093628, 0.7937309145927429, 0.2660864591598511, -0.26909029483795166, 0.1420527845621109, 0.5500378608703613, 0.0405057892203331, 0.752472996711731, -0.3750172257423401, -0.28290650248527527, -0.9463469386100769, -0.24806055426597595, -0.9405167698860168, -0.14940941333770752, -0.31217649579048157, 0.05753089487552643, -0.6044564843177795, 0.06520256400108337, -1.9676382541656494, 0.13548333942890167, -0.0973866730928421, -1.16990327835083, -0.4364140033721924, 0.6978968977928162, 0.013414355926215649, -0.7333189249038696, 0.4964034855365753, -0.5756698846817017, 0.30891069769859314, 0.32477957010269165, -0.9929487705230713, -0.19234254956245422, -0.29711848497390747, 0.19064898788928986, -0.033818379044532776, 1.1032747030258179, -1.3652764558792114, 0.20320676267147064, -0.2600826621055603, -0.45064109563827515, 0.20529800653457642, 0.7112042307853699, -0.08200708776712418, -0.23139087855815887, -1.5720847845077515, 1.7555598020553589, -0.015131782740354538, -0.2926558256149292, 1.2071335315704346, 1.8942902088165283, 0.19493891298770905, 0.10170534998178482, 0.022421380504965782, 0.518995463848114, -0.19981113076210022, 0.13230787217617035, -0.8610041737556458, 0.6317645311355591, 0.5083830952644348, 1.4924700260162354, 0.9203584790229797, 1.105387806892395, -0.7682168483734131, 0.5095903873443604, 1.179863452911377, 0.058738816529512405, -0.01101880893111229, -0.16824491322040558, -0.13496993482112885, -0.27575919032096863, 0.2130422294139862, -0.8974547982215881, -0.5496388673782349, 0.16653881967067719, -0.0037445290945470333, 0.27221956849098206, -1.399633765220642, -0.8738774657249451, -1.3542765378952026, 0.10807407647371292, -0.9122576117515564, 0.2706703543663025, -0.2415408045053482, -0.18197079002857208, -0.8346999287605286, 0.3448100686073303, -0.6715821027755737, -0.3528669774532318, 0.43253904581069946, 0.728851854801178, -0.9541633725166321, 0.38722819089889526, 0.31295210123062134, 0.5298967957496643, -0.48010677099227905, 0.05987541377544403, -0.1519441157579422, -0.30854132771492004, 0.4434359073638916, 0.370173841714859, -0.850485622882843, -1.9701231718063354, 0.7720268368721008, -0.023907426744699478, 0.3479309678077698, -0.2505505681037903, -0.5703150033950806, -0.1875520944595337, 0.8744862079620361, -0.6595346927642822, 0.004154410678893328, 1.715925693511963, 0.06146065518260002, -1.8380153179168701, 0.18708433210849762, -0.04726312682032585, 0.037645649164915085, -0.26496562361717224, 0.35401320457458496, -0.7402993440628052, 0.988224983215332, 1.1744097471237183, -0.6220832467079163, 0.16410265862941742, 1.4978002309799194, 0.3155672550201416, 0.11878567934036255, 0.5356985926628113, 1.113032579421997, -1.0319112539291382, -0.144765704870224, -0.45741865038871765, 0.48006781935691833, 0.5101644396781921, -1.8093128204345703, -0.9577903747558594, 0.027232173830270767, -0.5424008369445801, 0.29360300302505493, 0.5164145827293396, 0.7571478486061096, -0.12346675246953964, 0.31904706358909607, -1.0539753437042236, -1.390136480331421, -0.139924556016922, -1.349285364151001, -0.27875658869743347, 0.3786960542201996, 1.2098406553268433, -1.3698064088821411, -1.224171757698059, -1.1806849241256714, -0.3173171877861023, 0.3903379440307617, -0.023183537647128105, -0.7453398108482361, -0.3438935875892639, -0.12288999557495117, 0.9769222736358643, -0.7086113691329956, -0.8746411800384521, -0.748378336429596, -0.3420950472354889, 0.10069873929023743, -2.03013277053833, -1.0105712413787842, -0.1109677329659462, 0.5778743028640747, -0.06144637241959572, 0.7804860472679138, 0.02472352422773838, -0.544468343257904, 0.0589744970202446, -0.38504090905189514, -0.32608622312545776, 0.735995888710022, 0.3469851613044739, 1.0927656888961792, 0.6807865500450134, 0.08194485306739807, 0.5796173810958862, -0.10890673846006393, -0.5386816263198853, -0.5518640875816345, 0.8979483842849731, -0.19975730776786804, 0.7102224230766296, -0.5714719295501709, 1.1574283838272095, 1.2173768281936646, -0.8763020634651184, -1.0784103870391846, 0.5843523144721985, 0.276063472032547, -0.3406091034412384, -0.14764465391635895, 1.3534947633743286, -0.8027927279472351, -0.25959280133247375, -1.437453031539917, -1.1908427476882935, 0.9341283440589905, -0.49240320920944214, -0.1416030079126358, -0.6702410578727722, -0.8029571175575256, 0.32720711827278137, 1.4433921575546265, 0.6353163719177246, 0.2453172504901886, -0.10075538605451584, -0.28060245513916016, -0.7745848894119263, 0.37471452355384827, -0.5603412985801697, 0.5608332753181458, 0.2711326479911804, -0.23896098136901855, 0.21823817491531372, -0.313082754611969, 0.6662306189537048, -0.489911824464798, -0.09965840727090836, -0.4009450674057007, -2.074253797531128, 0.5490670204162598, -0.6924808025360107, -0.65439373254776, -0.24565666913986206, -0.24278956651687622, -0.5814471244812012, -0.5482673048973083, -0.10027825832366943, -0.904731273651123, 0.7179664969444275, 0.8636072874069214, -0.7022242546081543, -0.888906717300415, 0.3609236478805542, 0.5637297630310059, -1.1587551832199097, 0.2462559938430786, -2.278224229812622, 0.10792530328035355, 0.22251424193382263, -0.3977459967136383, -0.4674111008644104, 0.12791457772254944, -0.4694822430610657, 0.012978720478713512, -0.8773478865623474, 0.23033149540424347, 0.1076069101691246, -0.27289995551109314, -0.2279776632785797, 0.9994394779205322, -0.03423082083463669, -0.3388420343399048, 1.2195589542388916, 1.114262580871582, 0.2720743715763092, 1.0468710660934448, 0.6454829573631287, -0.15661703050136566, -0.10494183003902435, 1.1753032207489014, 0.15827827155590057, -0.1912955492734909, -0.5561417937278748, -0.533208966255188, 1.3634377717971802, 1.7985351085662842, -0.8272278904914856, -1.5041972398757935, -0.31710317730903625, -0.7408692836761475, -0.669461190700531, 0.4428824782371521, 0.8272885084152222, 0.573697030544281, 0.11577683687210083, 0.3843337893486023, -0.5925115346908569, -0.7459535002708435, 1.4997767210006714, -0.03738868981599808, -0.7855576276779175, 0.18805208802223206, -0.22529391944408417, 0.10679212957620621, 0.9578452110290527, -0.33733534812927246, -0.17551469802856445, 0.2820659279823303, -1.0310697555541992, -0.45839929580688477, 0.9577220678329468, -0.1767769753932953, 0.021074984222650528, -0.8436868190765381, -0.4206453263759613, -0.5063747763633728, 1.3573365211486816, 0.2201164960861206, -0.03225221484899521, 0.09206528961658478, -0.7169462442398071, 0.15488111972808838, 1.295721411705017, -1.3459947109222412, -0.11557785421609879, -0.7087543606758118, 0.21437789499759674, -0.3724997937679291, 0.20650118589401245, 0.6622414588928223, -0.39539337158203125, 0.8345435857772827, -1.9653246402740479, 1.4314460754394531, 0.7949709296226501, -0.4550958275794983, 0.9746105670928955, 0.2591078579425812, -0.8243756294250488, -0.20247046649456024, -0.34633034467697144, 0.49424201250076294, -0.6466336250305176, -0.287030965089798, -0.43539920449256897, 0.6663558483123779, 1.3454358577728271, 1.1200640201568604, 0.4286895990371704, 0.720230758190155, 0.43430793285369873, 0.12732049822807312, 1.4987342357635498, 0.4069109857082367, -0.373416543006897, 0.8593336343765259, 0.6256945133209229, -1.319029450416565, 0.12782257795333862, -0.8636779189109802, 0.22008724510669708, 0.6289820075035095, 0.9564527869224548, -1.2408727407455444, -0.3177313506603241, -1.193116307258606, -0.0569465309381485, 1.2727117538452148, 0.2004290223121643, -0.4008809030056, 0.5453845858573914, 1.574385404586792, 0.8798651695251465, -0.25796812772750854, -0.5830188989639282, 0.40254220366477966, -0.1622331142425537, -0.03456050157546997, -0.9885240793228149, -0.1555083841085434, -0.5493360757827759, -0.4373314082622528, -0.20416007936000824, -0.19576731324195862, 0.6729263663291931, -0.6689237952232361, -1.4686675071716309, 0.20229744911193848, 0.4237792491912842, -0.5466267466545105, 0.800262987613678, 0.64211106300354, 0.09799227863550186, -1.0929746627807617, 0.6215879321098328, -0.13962553441524506, 1.6540769338607788, -0.0833023265004158, -0.14106564223766327, -0.3326764404773712, 0.24254818260669708, 0.025788500905036926, 0.7882357835769653, -0.8464862704277039, -0.3875211775302887, -0.29150110483169556, -0.47841697931289673, -0.5004479885101318, 0.23341785371303558, 0.9068599343299866, -0.061443693935871124, 0.2763720154762268, -0.5679541230201721, 1.0321803092956543, 0.38420534133911133, -0.6572117209434509, -2.684074640274048, 0.6944260001182556, 0.38920295238494873, -0.7522497177124023, -0.8854432702064514, -0.01030492689460516, 0.22596308588981628, 0.0676790401339531, -0.5822827816009521, -0.6979015469551086, 1.4856711626052856, 0.26002007722854614, -0.11852618306875229, -0.9279083609580994, 0.23580008745193481, -1.4006730318069458, -0.6866451501846313, -0.9680174589157104, 0.921715497970581, -0.3297235667705536, 0.5518400073051453, -0.2981552481651306, 0.42096778750419617, -0.9684820771217346, -0.6677256226539612, 0.29424533247947693, -0.8746042847633362, -0.051311194896698, 0.38124680519104004, -1.6024444103240967, -0.37638986110687256, 0.6533132791519165, 0.055568989366292953, -0.6803193688392639, -0.10329435765743256, -0.1674521118402481, 0.28131523728370667, 0.6666719317436218, -1.0098515748977661, -7.827296733856201, 0.6319201588630676, -0.7756060361862183, -1.2285642623901367, -0.3026595115661621, 1.0901713371276855, 0.2529253661632538, 0.4300175607204437, -0.7957599759101868, -0.6222234964370728, -0.2489520162343979, 0.25698694586753845, -1.6037399768829346, -0.007983334362506866, -0.2640688419342041, 0.11798837035894394, 0.14996440708637238, -0.3855395019054413, 0.45051419734954834, -0.08391627669334412, -1.0119785070419312, 1.3079445362091064, 0.34915801882743835, -0.5915086269378662, 0.9518696665763855, -0.07638856023550034, 0.010160093195736408, -1.385832667350769, -0.754030168056488, 0.3531090319156647, 0.6536513566970825, -0.9083922505378723, -0.05351782962679863, -0.7999302744865417, -0.3483699858188629, -0.06541735678911209, 0.6766682267189026, -0.05534249544143677, 0.2986144721508026, -0.4850824177265167, -0.2893243134021759, 0.04945073276758194, -0.0840209349989891, -1.5268841981887817, 0.2785869240760803, -0.338728666305542, -0.33514827489852905, -0.6489799618721008, 1.436460018157959, -0.20382483303546906, 0.9262793660163879, 0.7523532509803772, -0.13574738800525665, 0.9588583111763, 0.787139356136322, -0.8838908076286316, -0.060682594776153564, 0.42309892177581787, 0.42335227131843567, -0.5360031723976135, -1.0369758605957031, 0.18347495794296265, 0.529543936252594, 0.1669689267873764, 0.938493549823761, 0.5168428421020508, -0.36108162999153137, -0.13653495907783508, -0.19165484607219696, 0.502247154712677, -0.2973335385322571, -0.08560476452112198, 0.07808995246887207, -0.47934964299201965, 0.08294198662042618, 0.07059626281261444, -0.1760541945695877, -0.28278884291648865, 0.8612396121025085, 0.245197132229805, -1.206037998199463, 0.22499217092990875, -0.034457724541425705, 1.762559175491333, -0.18885068595409393, -0.46544349193573, -0.2798738479614258, 0.0009181204368360341, -0.6694616675376892, -0.805759847164154, 0.6206368803977966, -0.8198573589324951, -0.6465270519256592, 0.1931992471218109, 0.9072997570037842, -0.6722920536994934, 1.8611153364181519, 0.3220519721508026, -0.6427188515663147, -0.448039174079895, 1.037692666053772, 1.668806791305542, 1.5568606853485107, -0.47418278455734253, 2.579054594039917, 0.651130199432373, -0.412475049495697, 0.1930711269378662, -0.35041728615760803, -0.4441753029823303, 0.8462648987770081, 1.1624488830566406, -0.8855968117713928, 0.13314732909202576, 0.7502368688583374, 0.4108048379421234, 0.057103656232357025, 1.1676315069198608, -0.14029620587825775, -0.7716588377952576, -1.0572606325149536, -0.5393995642662048, -0.3511936664581299, -0.8155905604362488, -0.07958471029996872, -0.185268834233284, 0.379668653011322, 0.3610468804836273, 0.6504043936729431, -0.10478523373603821, -0.10873780399560928, -0.13582409918308258, -1.0033930540084839, -0.18445558845996857, -0.14429281651973724, -0.17826905846595764, -0.4131605625152588, 0.683962345123291, 0.7463225722312927, -0.49149301648139954, 0.13665199279785156, 0.9559548497200012, 0.8160858154296875, -0.7243649363517761, -0.3338015675544739, -0.20933139324188232, 1.2117563486099243, -0.789767324924469, 0.5899888277053833, -0.31912457942962646, -0.7539418339729309, 0.31490451097488403, 0.7802269458770752, -0.4730279743671417, -0.06181517615914345, 0.5730292797088623, -0.9456057548522949, 0.48796164989471436, -0.5377345681190491, 0.6948379874229431, 1.500714898109436, -0.8291335701942444, 0.33746805787086487, 0.026240447536110878, -1.7779903411865234, -0.7947574257850647, -0.8547052145004272, 0.6219339966773987, 0.6974840760231018, 1.543663740158081, 0.5295252203941345, -0.032536718994379044, 0.6340102553367615, -0.10677631199359894, -1.1097943782806396, 0.404256135225296, 0.5311933755874634, 0.8043015599250793, -0.5944029092788696, -0.7889060974121094, 0.14106206595897675, -1.1219946146011353, -0.5121287703514099, 0.6185909509658813, -0.8146960735321045, 0.02092433162033558, -0.07253662496805191, 1.293363094329834, 0.8420226573944092, -0.2892143130302429, -0.3395870327949524, -0.17097800970077515, 0.04527300223708153, 0.6297247409820557, -0.7870707511901855, -0.5763611793518066, -0.481408953666687, -0.8149672746658325, 0.9200447797775269, -1.6534150838851929, -0.9911949038505554, 1.2327642440795898, -0.08270213752985, -0.0984998419880867, 0.7895247340202332, -1.4928779602050781, -0.6731555461883545, 0.10251954197883606, 0.27304399013519287, -0.8221072554588318, -0.16898241639137268, 0.2587991952896118 ]
1,073
0704.1075
Hong-Hao Zhang
Hong-Hao Zhang, Wen-Bin Yan, J. K. Parry, Xue-Song Li
New Terms for the Compact Form of Electroweak Chiral Lagrangian
3 pages, references added
Commun.Theor.Phys.49:723-724,2008
10.1088/0253-6102/49/3/41
TUHEP-TH-07156
hep-ph
null
The compact form of the electroweak chiral Lagrangian is a reformulation of its original form and is expressed in terms of chiral rotated electroweak gauge fields, which is crucial for relating the information of underlying theories to the coefficients of the low-energy effective Lagrangian. However the compact form obtained in previous works is not complete. In this letter we add several new chiral invariant terms to it and discuss the contributions of these terms to the original electroweak chiral Lagrangian.
[ { "created": "Mon, 9 Apr 2007 08:17:10 GMT", "version": "v1" }, { "created": "Thu, 3 May 2007 06:05:06 GMT", "version": "v2" } ]
2008-11-26
[ [ "Zhang", "Hong-Hao", "" ], [ "Yan", "Wen-Bin", "" ], [ "Parry", "J. K.", "" ], [ "Li", "Xue-Song", "" ] ]
07
[ 0.2643568217754364, 0.16722345352172852, -0.050520170480012894, 0.35013899207115173, 0.006755129434168339, 0.734246015548706, 0.8763065934181213, 0.3174368739128113, -1.8725990056991577, -1.4386582374572754, 0.7770124673843384, -0.2525424063205719, 0.7312117218971252, 0.96188884973526, -0.874640166759491, 0.8020503520965576, -0.8791435360908508, -0.9489508271217346, 0.09125309437513351, -0.3358350098133087, 0.035669878125190735, -0.30975401401519775, -0.14040125906467438, -0.4463912844657898, -0.9290510416030884, 1.2244031429290771, -0.7236713171005249, 0.9328644871711731, -1.1215237379074097, -0.17717969417572021, 0.538129448890686, 0.1594986468553543, -0.8467509746551514, 0.44252875447273254, 0.26487183570861816, 0.5182883739471436, 0.8564184904098511, -1.155967116355896, 0.27396079897880554, 0.03249866142868996, -0.6501203775405884, -0.046916525810956955, -0.3872917890548706, -0.06683143228292465, -1.7972328662872314, -0.4987535774707794, 0.3790138363838196, -0.45118963718414307, 1.1082836389541626, 0.4170185327529907, -0.34046560525894165, 2.2279605865478516, 0.32493892312049866, -0.08150183409452438, -0.26940593123435974, 0.6426928043365479, -0.3258635699748993, 0.20219047367572784, -0.18140843510627747, 1.074398159980774, -0.16344626247882843, 1.3555183410644531, 0.5685930252075195, -0.2496890127658844, -0.3149784505367279, -0.6876940727233887, -0.9117250442504883, 0.4027201533317566, 0.28982752561569214, 0.8450969457626343, -0.40919315814971924, 0.12654416263103485, 0.4013720452785492, -0.5774914026260376, -0.8043912649154663, -0.6733241677284241, -0.44763556122779846, -0.537128210067749, -0.5101816058158875, -1.0544021129608154, 0.37115395069122314, 0.7145642042160034, -0.6586588621139526, -0.852392852306366, -0.3632476329803467, -0.4603741765022278, -0.03173934295773506, 0.14501598477363586, -1.6696609258651733, 0.2613421678543091, 0.6370468139648438, -0.23887844383716583, -0.5291022658348083, 0.5219048857688904, -0.6457303762435913, -0.28694432973861694, -1.2894362211227417, 0.524265706539154, -0.1017964780330658, -0.1990218609571457, 1.6545144319534302, 0.30236485600471497, -0.9533305764198303, -0.037945255637168884, -1.5717618465423584, 0.10197362303733826, 0.3182832598686218, 0.1088605746626854, -0.6836377382278442, 0.6940242648124695, 0.4374670386314392, 0.28285086154937744, 0.25376784801483154, -0.9495408535003662, -1.0527147054672241, -0.7270196080207825, 0.1498585194349289, 0.24710318446159363, 0.20575813949108124, 0.954127848148346, -1.612647533416748, 0.39865803718566895, 1.0170884132385254, 0.5019278526306152, 1.5401835441589355, -0.8136664032936096, -0.3136747181415558, -0.18697136640548706, -0.4478755295276642, 0.5679106116294861, 0.2494637668132782, -0.11915504187345505, 0.403705894947052, 0.15525829792022705, -0.1879332959651947, 0.7720386981964111, -0.8208792805671692, 0.2337484359741211, 0.3566853404045105, -0.44867661595344543, 0.05024511367082596, -0.48741087317466736, -0.8600836992263794, 0.5536431670188904, 0.874782145023346, 0.22977368533611298, -0.8394021391868591, -0.44560977816581726, 1.1229301691055298, -0.35464218258857727, 0.33018237352371216, -0.10156019032001495, 0.6380774974822998, 0.03898851200938225, 0.2374047487974167, -0.3978229761123657, -0.3691895604133606, 0.6995325088500977, -0.8362632989883423, 0.646192729473114, -0.2552933394908905, 0.11146031320095062, -0.686144232749939, 0.4639921486377716, 0.8628571033477783, 0.6209874153137207, -0.18117152154445648, 0.35015031695365906, -0.37814509868621826, -0.46765005588531494, 0.24023471772670746, -0.659245491027832, 0.6920439004898071, -1.3272379636764526, 1.162264347076416, -0.6146119832992554, 0.26618078351020813, 0.5136362314224243, -1.014209270477295, 0.8348251581192017, -0.11950603127479553, -0.27597078680992126, 0.42273613810539246, -0.27162009477615356, -0.6398323774337769, -0.910556435585022, -0.35150784254074097, -1.5964590311050415, -0.7416548132896423, -0.3996594250202179, -0.27118563652038574, -1.1633106470108032, -0.5636405944824219, 0.2737351953983307, 0.8521633744239807, 1.144156575202942, 0.48012325167655945, 0.6450181007385254, 0.3335219621658325, -0.055841945111751556, 0.5844959616661072, -0.27977025508880615, 0.9332727789878845, 1.1150391101837158, -0.6027920842170715, 1.1474579572677612, 0.23089499771595, 0.14146560430526733, 0.23767723143100739, -0.034790851175785065, -0.479754775762558, 0.8418336510658264, -0.4682554304599762, -2.1887574195861816, 1.6169583797454834, 0.12057680636644363, 0.7750729322433472, -0.15604637563228607, -1.0733669996261597, 1.0065666437149048, -0.8131232261657715, -0.07553589344024658, 0.35715293884277344, 0.5234384536743164, 0.15436746180057526, 0.8677363991737366, 1.937964916229248, 0.31497782468795776, -0.15001513063907623, -0.701565146446228, -0.5256977081298828, 0.18210427463054657, 0.4931575059890747, -1.087679147720337, 0.485914021730423, -0.15073320269584656, 0.2982305586338043, -0.9040544033050537, -0.5485003590583801, 0.23495595157146454, -0.07552444934844971, 0.6870869398117065, -0.65104740858078, -1.3354202508926392, 0.05722634494304657, 0.4015631377696991, -0.7019584774971008, -0.02169424667954445, 0.759100615978241, -0.520129919052124, -0.31996285915374756, -0.7118253111839294, 0.1753695160150528, -0.22534599900245667, 0.827951192855835, -0.939541757106781, -0.5151504278182983, -0.10077366977930069, -1.1041278839111328, 0.270612508058548, 0.12953490018844604, 0.3724377751350403, -1.0568331480026245, 0.07603549212217331, 1.0837647914886475, -1.1559362411499023, 0.33257389068603516, 0.15629152953624725, -0.5826218128204346, 1.0419002771377563, -0.510732889175415, 0.6735156774520874, 0.15013104677200317, -1.811282753944397, 0.4161241352558136, -0.11195021867752075, 0.6288602948188782, -0.3322018086910248, -0.4437493681907654, -0.44563060998916626, 0.02934487909078598, 2.65394926071167, 0.19742242991924286, 0.0017154384404420853, 0.7120038270950317, -0.8821091651916504, -1.1335234642028809, 0.25656604766845703, -0.2623877227306366, -0.7385568022727966, -0.14626877009868622, -0.5250922441482544, -0.11883296072483063, -1.1542223691940308, -0.8031499981880188, 0.5801213979721069, -0.15883982181549072, -0.443141907453537, -0.4436747133731842, 0.7438651323318481, -1.3185991048812866, -0.606706976890564, -0.2606276571750641, -0.04334092140197754, 0.29770350456237793, -0.4716692268848419, 0.6090813875198364, 0.30847200751304626, -1.686171054840088, -0.39190471172332764, -0.19042199850082397, -0.3557756245136261, 0.468241810798645, -0.43365922570228577, 0.00045445087016560137, -0.6388936638832092, 0.7829351425170898, -0.6664472222328186, 0.4581550657749176, 1.640495777130127, 0.3914583921432495, 0.7774804830551147, 1.7512733936309814, 0.2895025908946991, -0.5396469235420227, -1.4098381996154785, 0.7272678017616272, -0.14197853207588196, 0.7829827070236206, 0.4171389043331146, 0.30654647946357727, 1.7939753532409668, 0.9383932948112488, 0.7658635973930359, -0.38364896178245544, -0.6828132271766663, -0.6088188886642456, 0.1352270543575287, 0.17286722362041473, -0.21402938663959503, 0.3954673707485199, -0.151429682970047, -0.696813702583313, -1.410559058189392, -1.18875253200531, 0.07974711805582047, 0.7752582430839539, 0.41936883330345154, -1.2600538730621338, 0.04976998269557953, -1.0041643381118774, -0.11375265568494797, 0.620725691318512, 0.6617223024368286, 0.7040815353393555, 0.17983637750148773, 0.24530546367168427, 0.7641488313674927, 0.22274641692638397, -0.3193422555923462, 0.10557610541582108, 1.227670431137085, -0.5901021361351013, -0.0723138377070427, 0.39323508739471436, 0.3034147620201111, -0.843690037727356, 1.6132714748382568, -0.3534839451313019, 0.4906591475009918, -0.433331161737442, -0.3579511046409607, 0.46720972657203674, 0.08577007055282593, -1.1499457359313965, 0.48531442880630493, -0.8115971088409424, 0.5516337156295776, 0.3473081886768341, -0.6697067022323608, -0.9073470830917358, 0.680753767490387, 0.7119746208190918, -0.549656093120575, 1.2200287580490112, -0.08013524860143661, 0.3273739218711853, 0.28548353910446167, -0.4026104211807251, 1.0426483154296875, 0.2701380252838135, -1.0698349475860596, -0.3380870223045349, -0.28127190470695496, 0.1602887362241745, -0.38170722126960754, -0.6818052530288696, 0.8981956243515015, -0.9114723801612854, 0.17126965522766113, -0.3304676115512848, -0.31467586755752563, -1.2046979665756226, -0.9601829051971436, -0.28262147307395935, -1.7539359331130981, 0.10046985000371933, 0.45655086636543274, 0.11602439731359482, 0.21671046316623688, 0.31764474511146545, 1.556135892868042, 0.5775138735771179, 2.499232292175293, 0.06233007460832596, -0.20169097185134888, -1.6001979112625122, -1.1329492330551147, -0.7446048259735107, 0.24060462415218353, 0.23705880343914032, -0.8300999999046326, -0.1754997819662094, 0.1483975350856781, -0.8038552403450012, 0.6654532551765442, -1.2384464740753174, -1.0763964653015137, 0.8016586899757385, 0.13723795115947723, 0.02941075712442398, 0.9881939888000488, -0.07938456535339355, -0.4200936555862427, 0.17488674819469452, 0.2968158721923828, -0.1534818559885025, 0.6749404668807983, 0.16006776690483093, -0.18746109306812286, -0.3768523335456848, 0.5170812010765076, 0.5768342614173889, -1.5434505939483643, 0.1348973959684372, -0.47378793358802795, -0.7016691565513611, -0.7376409769058228, -0.7507984042167664, -0.404380202293396, 0.26636019349098206, -1.069719672203064, -0.21776142716407776, 1.4522411823272705, -0.6499210000038147, -0.08774874359369278, -0.36148601770401, 0.18632197380065918, -0.007908626459538937, -0.03776371479034424, -0.2911404073238373, 0.5097259879112244, 0.45342040061950684, -1.8633673191070557, -0.18288689851760864, -0.8056278228759766, 0.12852704524993896, -0.26300686597824097, -1.0258185863494873, -0.45192742347717285, 0.7779185771942139, -1.2013158798217773, -0.6406113505363464, -0.15420474112033844, -0.4925907850265503, -0.4302769899368286, 0.43337032198905945, 0.9140769839286804, -0.4240848422050476, -0.1978299468755722, 1.3950022459030151, 2.8075735569000244, 0.1681743562221527, -0.8565384149551392, -0.18402180075645447, -0.10261746495962143, -0.01851600594818592, 0.5763980150222778, -0.868564248085022, 0.36138686537742615, 1.1781882047653198, 0.004935028497129679, -0.21271714568138123, 0.5998435616493225, -1.2188048362731934, 1.1680279970169067, -0.1806432604789734, -0.21160946786403656, 0.0144917918369174, 0.09381508827209473, -0.29479652643203735, -0.2875351011753082, -0.032060522586107254, -0.4098283350467682, -1.2516549825668335, -0.28544899821281433, 0.4472673833370209, 0.12495305389165878, 0.15055102109909058, -0.23931853473186493, 0.6873151063919067, -1.088490605354309, 1.0533251762390137, -0.3281008303165436, -0.5878241062164307, 0.662678062915802, -0.17544053494930267, -2.520470380783081, 0.9413329362869263, 0.9339581727981567, 1.5300289392471313, -1.2640751600265503, 0.6274011731147766, -0.731217086315155, -0.2720804214477539, -0.15343345701694489, -0.4401351511478424, -0.5038131475448608, -0.8417611122131348, -0.15036755800247192, 0.4085727632045746, -0.6984801888465881, 0.9372332096099854, -0.33559274673461914, -1.3195521831512451, 0.5436914563179016, -0.3202900290489197, 1.507548213005066, -0.09467674046754837, -0.12916165590286255, 0.17271852493286133, 0.6296712756156921, 0.461775004863739, -0.3359568417072296, -0.5471426248550415, -0.6358016133308411, 0.19822904467582703, 0.016099894419312477, 0.5642641186714172, 0.7311626672744751, -0.0044592032209038734, 0.5669236183166504, 0.07934486865997314, -0.060727961361408234, 0.4995119869709015, 0.46144533157348633, -6.866067409515381, -0.7274130582809448, 0.4523422122001648, -0.24335740506649017, 1.2831801176071167, -1.1471714973449707, -0.2923826277256012, -0.7426099181175232, -0.4854928255081177, 0.9472222328186035, 0.3098178207874298, 0.7931556105613708, 0.7246182560920715, -0.9687108993530273, 1.4671809673309326, -0.11192290484905243, -0.5115988850593567, -0.05355984717607498, -0.9079487919807434, -1.4046794176101685, -0.7728223204612732, 0.5472275018692017, -0.843407928943634, 0.2395431101322174, 0.20322313904762268, 0.21862080693244934, -0.3380016088485718, -0.8061597347259521, 0.09580672532320023, 0.45707276463508606, -0.17669016122817993, 0.7581624984741211, -0.4062398076057434, 0.5713239312171936, -0.8532111644744873, -0.7730615139007568, -0.6552641987800598, -0.4330601990222931, -0.9014933109283447, -0.48928302526474, -0.7875508069992065, 0.2199203372001648, 0.3862108886241913, -0.7680870890617371, 1.2875844240188599, 0.48568251729011536, 0.5683322548866272, -0.5253439545631409, -1.2502944469451904, 0.07445895671844482, -0.41360560059547424, 0.13706594705581665, -0.2984810173511505, 0.3847012519836426, 0.2875295579433441, -0.19562286138534546, -0.1904924511909485, -0.7038996815681458, -1.0531426668167114, 0.005568645428866148, -0.32927295565605164, -0.9644320011138916, -0.0228725615888834, 0.5220102071762085, -0.7985469698905945, -1.684170126914978, 0.7963529229164124, 0.5339329242706299, 0.09013108909130096, 1.3990774154663086, -0.9663931727409363, -0.03335798159241676, -0.4521217942237854, -0.8456079959869385, -1.3672200441360474, -0.7251213788986206, -0.17569302022457123, 1.6168876886367798, 0.44588392972946167, 0.9176563620567322, -0.10850790143013, 0.40614885091781616, -0.7327373623847961, -0.07360623776912689, -0.07672660052776337, -0.8093029856681824, 0.5746587514877319, 0.6783457398414612, 1.4891555309295654, 0.685229480266571, 0.9413121938705444, 0.715032160282135, -0.029718035832047462, -1.6679831743240356, 0.2952265739440918, -0.2359638214111328, -0.5775201320648193, 0.16303898394107819, -1.2127227783203125, 0.377685010433197, -0.687786877155304, -0.010201728902757168, 1.9958597421646118, -0.38853731751441956, 1.1515378952026367, -0.5654920935630798, -0.218657985329628, -0.5615768432617188, -0.09173142910003662, -0.2903449833393097, 0.11010117083787918, 0.07624257355928421, -0.9184380173683167, -2.0961806774139404, -0.6125724911689758, -0.9872234463691711, -0.767912745475769, 0.9410809278488159, 1.2040880918502808, -0.6824982762336731, 0.2212952971458435, 0.6598536372184753, -0.2863338589668274, -0.6273167729377747, 0.7791613936424255, -0.430824339389801, -0.2662597596645355, -0.8612359166145325, -0.6624784469604492, 1.119691252708435, -0.8150835037231445, -0.7182320952415466, -0.34246957302093506, 0.743339478969574, -0.8512784242630005, -0.5094123482704163, -0.16955746710300446, 0.46561652421951294, -0.4749007523059845, 0.9649141430854797, -0.13599911332130432, 1.4986460208892822, 0.040647078305482864, -0.05868386849761009, 0.4495416283607483, -0.9827996492385864, -0.4983438551425934, 0.5143259167671204, -0.23469457030296326, -0.20281435549259186, -0.2308712750673294, 1.0965994596481323, 1.2225984334945679, 0.8450572490692139, -1.1122770309448242, -0.07366491854190826, -0.03134618327021599, -0.9051611423492432, 0.24592536687850952, -0.7750208377838135, -1.0334059000015259, 0.5043761134147644, -0.15304014086723328, 0.9890965819358826, -0.5063937902450562, -0.05605471506714821, -0.8362648487091064, 0.9518850445747375, 1.2616291046142578, -0.11720193922519684, 0.18035489320755005, -0.7868956923484802, -0.48754337430000305, 1.2596220970153809, -0.2622840404510498, -0.6382229328155518, -1.7593203783035278, -0.12087974697351456, 0.34769368171691895, -0.43885794281959534, -0.24325381219387054, -0.04686393961310387, 0.3553590476512909, -0.09885173290967941, -0.37970975041389465, 2.782925605773926, 0.20112261176109314, -0.3505725562572479, 0.21060271561145782, 0.832954466342926, -0.687355637550354, -0.8685533404350281, -0.41474276781082153, 0.3545013964176178, 0.09347707033157349, 0.3839879333972931, -0.1798064261674881, 1.026760220527649, -0.689551830291748, 0.28596070408821106, -1.5400351285934448, 1.573829174041748, 2.585624933242798, 0.3592478036880493, -0.39852482080459595, 0.8838781118392944, -0.5179426074028015, 0.6711516380310059, 0.5143088698387146, -0.8255059123039246, -0.03217042610049248, -0.4477880001068115 ]
1,074
0704.1076
Qiuping A. Wang
Qiuping A. Wang (ISMANS)
Seeing maximum entropy from the principle of virtual work
null
null
null
null
cond-mat.stat-mech
null
We propose an extension of the principle of virtual work of mechanics to random dynamics of mechanical systems. The total virtual work of the interacting forces and inertial forces on every particle of the system is calculated by considering the motion of each particle. Then according to the principle of Lagrange-d'Alembert for dynamical equilibrium, the vanishing ensemble average of the virtual work gives rise to the thermodynamic equilibrium state with maximization of thermodynamic entropy. This approach establishes a close relationship between the maximum entropy approach for statistical mechanics and a fundamental principle of mechanics, and constitutes an attempt to give the maximum entropy approach, considered by many as only an inference principle based on the subjectivity of probability and entropy, the status of fundamental physics law.
[ { "created": "Mon, 9 Apr 2007 08:17:20 GMT", "version": "v1" }, { "created": "Wed, 22 Aug 2007 07:16:57 GMT", "version": "v2" }, { "created": "Wed, 17 Oct 2007 07:01:22 GMT", "version": "v3" }, { "created": "Fri, 23 Nov 2007 13:49:41 GMT", "version": "v4" }, { "created": "Mon, 28 Jan 2008 08:51:56 GMT", "version": "v5" } ]
2008-01-28
[ [ "Wang", "Qiuping A.", "", "ISMANS" ] ]
07
[ -0.10889603942632675, 0.12788651883602142, -0.7773735523223877, -0.0068970671854913235, 0.705866277217865, -0.09105084836483002, 1.4096105098724365, 1.1134732961654663, 0.5973914861679077, -0.049584805965423584, 0.05678901821374893, 0.9103432893753052, -0.25992903113365173, 0.46729034185409546, -1.2167681455612183, -1.003842830657959, 0.21978408098220825, -0.8642243146896362, -0.345073938369751, 0.21123458445072174, 0.2168949693441391, 0.3298327922821045, 0.37158188223838806, -0.6029998064041138, -0.4478372037410736, -0.24938923120498657, -0.6607959270477295, 0.9149604439735413, 0.4609847366809845, -0.6865723133087158, 0.08252202719449997, 0.14558175206184387, 0.6571879982948303, 0.5160682201385498, -0.32610267400741577, 0.103017657995224, 0.6967220902442932, -0.13638509809970856, -0.609460175037384, -0.6839955449104309, -0.559493899345398, 0.007265376392751932, -0.1976052224636078, 0.4781021475791931, 0.15937504172325134, -0.10351154208183289, -0.4065757989883423, -0.3209383487701416, -0.45702406764030457, 0.19471412897109985, -0.4797622263431549, -0.11407701671123505, 0.5973168611526489, -0.9019949436187744, 1.1023621559143066, -0.07259811460971832, -0.7268821001052856, -0.5493282675743103, 0.2288983017206192, 1.035864233970642, -0.8831209540367126, 0.19753482937812805, 0.3740507662296295, 0.38666582107543945, -0.5051712989807129, -0.4326252043247223, 0.3874243497848511, -0.22734037041664124, 0.8339128494262695, -0.06927710026502609, -0.16178959608078003, -0.9023317694664001, -0.5352835059165955, -0.21236664056777954, 0.7840784788131714, 0.03739267960190773, 0.2235081046819687, 0.4245658218860626, 1.6577773094177246, -0.46636685729026794, -0.009653444401919842, 0.3385225832462311, -0.08719129860401154, -0.22974009811878204, 0.4868374168872833, 1.853003978729248, 0.0648573562502861, -0.42024192214012146, -0.5967739224433899, -0.21702693402767181, -0.31819429993629456, -0.09402147680521011, 0.5533064007759094, -0.8530308604240417, 1.4996062517166138, 0.776343584060669, -0.3579627275466919, 0.40225356817245483, 0.1109342947602272, -1.2177850008010864, 1.0714644193649292, 0.1335919052362442, -0.018127141520380974, -0.37185606360435486, 0.5559200644493103, 0.6541993618011475, 0.8679493069648743, -1.02207612991333, 0.2520706057548523, 0.19170355796813965, -0.005330470856279135, -1.112751841545105, 0.722916305065155, -0.44693490862846375, -1.3115296363830566, -0.25157761573791504, -0.05350608378648758, -0.7635744214057922, -0.4797735810279846, -0.14007149636745453, 1.746972918510437, -0.33088213205337524, 1.2516224384307861, -0.5786964297294617, 1.443350076675415, 1.1208709478378296, 0.615861177444458, -0.7032688856124878, 0.004144264850765467, -0.040000732988119125, -0.521230161190033, 0.1627250462770462, 0.4955843389034271, -0.3648968040943146, -0.8532637357711792, 0.715542197227478, -0.44462770223617554, 0.6618221402168274, -1.1309479475021362, -0.9175945520401001, 1.2301794290542603, 0.4126388132572174, 0.19557678699493408, 0.3167537450790405, -0.8584974408149719, 0.5566715598106384, -0.9203649163246155, -0.08058731257915497, 0.9122990369796753, -0.5537505745887756, -1.87433660030365, -0.6412248015403748, 0.2881869971752167, 0.42166945338249207, 1.1669306755065918, -0.7866010665893555, 1.306875228881836, 0.24387332797050476, -0.2285591959953308, -0.20523665845394135, 2.201716661453247, -1.2394682168960571, -0.15002641081809998, 0.6120780110359192, 0.20726707577705383, 0.6386263370513916, -0.9411498308181763, -0.023546066135168076, 0.5368491411209106, 0.543117880821228, -1.1630877256393433, -0.15526074171066284, 0.16542372107505798, 0.1388864815235138, 0.7984697818756104, -0.6374106407165527, 1.0744562149047852, 0.8750728964805603, -0.8018007874488831, 0.13639932870864868, -0.33725300431251526, 0.032634709030389786, -0.928080677986145, 0.07813993841409683, -0.5253019332885742, -0.09415382891893387, -0.06885287910699844, -0.3577384352684021, 0.0076043568551540375, -0.0004316990089137107, -0.14883387088775635, -0.3865252733230591, -1.1031681299209595, 1.0241708755493164, 0.597899854183197, 0.8547891974449158, 0.38538187742233276, -0.7496019601821899, -0.9152074456214905, 0.35232096910476685, 1.0529592037200928, -1.184088945388794, -0.37664055824279785, 0.597812831401825, -0.9038223624229431, -1.1542587280273438, -0.08628856390714645, -0.646576464176178, -0.040480613708496094, -0.7218800187110901, -1.7090026140213013, 0.11180086433887482, -0.7139644026756287, -0.09281565994024277, 0.0176992230117321, -0.20396941900253296, -0.606214165687561, 0.5458423495292664, 0.6984381675720215, 0.2150927037000656, -0.360041081905365, 0.10676314681768417, 0.6621900200843811, 0.6422790288925171, -0.8688178658485413, -1.1386715173721313, -0.5590212345123291, 0.20864984393119812, -1.2806788682937622, -0.47327885031700134, 0.20901398360729218, -0.5391106605529785, 0.47984781861305237, -0.7119983434677124, 0.3042750656604767, 0.08953536301851273, -2.032618522644043, -1.6402552127838135, -0.3785969316959381, 0.6755055785179138, -0.5882572531700134, -0.37111896276474, -0.06410114467144012, -0.1867343783378601, -1.1488938331604004, 0.4695700705051422, -0.15325959026813507, 0.4983620345592499, -0.45293164253234863, 0.34330815076828003, -0.024144787341356277, 0.2221454232931137, 0.6209477782249451, -0.0059916237369179726, -0.9716478586196899, 0.4434671401977539, -0.27497991919517517, 0.458481103181839, -0.062424276024103165, 0.3436964452266693, 0.4819194972515106, -0.5727266669273376, 1.076201319694519, -0.08805724233388901, -0.4010095000267029, -0.7264952659606934, 0.8453871011734009, -0.04022572189569473, 0.8158949017524719, 0.29285722970962524, -0.9918987154960632, -0.47190043330192566, -0.05514933913946152, -1.0843262672424316, -0.6877497434616089, 0.4761064946651459, -0.20840613543987274, 0.594929039478302, 0.30383867025375366, 0.07456377893686295, -0.32608193159103394, 1.6548110246658325, -0.13382591307163239, -0.3089818060398102, -0.6286881566047668, 0.5861901640892029, -0.20295940339565277, -0.604210376739502, -0.38283029198646545, -0.3893754482269287, -0.6187584400177002, -0.5878259539604187, -0.2236253321170807, 1.132778286933899, -0.13793019950389862, -1.3009045124053955, -0.5054336786270142, -0.9217349886894226, -0.32244011759757996, -0.022705871611833572, 0.33874988555908203, -0.615691602230072, -0.0034316221717745066, 0.4457693099975586, 0.8571010231971741, -0.8120220303535461, -0.8559284210205078, -0.1980878859758377, -0.7946576476097107, -0.20029836893081665, -0.7370079159736633, 0.8017314076423645, -0.9249696731567383, -0.645605206489563, 1.2047637701034546, 0.17903272807598114, 0.5131983160972595, -0.46656885743141174, 0.1548965871334076, 0.23916102945804596, 0.933073878288269, -0.5271125435829163, 1.0750316381454468, 0.5598164796829224, -0.30866676568984985, -0.32422345876693726, -0.15040546655654907, 0.4369177520275116, 0.6919326782226562, 1.220882773399353, -0.39237695932388306, 0.6383526921272278, 0.7697909474372864, 1.882230520248413, 0.10147830843925476, -1.5410701036453247, -1.6840362548828125, -0.5507663488388062, 1.1703343391418457, -0.39528343081474304, -0.19652332365512848, -0.15186446905136108, -0.5746058225631714, -0.9648618102073669, 0.029497090727090836, 0.31797146797180176, -0.4361043870449066, -0.42387187480926514, -0.49356189370155334, -0.944119930267334, -0.6319239735603333, -1.1485196352005005, -0.4873391091823578, 1.581813097000122, 0.2830306589603424, -1.2254327535629272, 0.7211273312568665, 0.4208202362060547, 1.289800763130188, 0.43231943249702454, -0.11824504286050797, 0.5578126311302185, 0.28096166253089905, -0.6184019446372986, 1.1254311800003052, -0.6997026801109314, 0.10544853657484055, 0.17691566050052643, -0.23363976180553436, 0.1407034695148468, -1.4643595218658447, 0.28971338272094727, 0.4313487112522125, -0.13634958863258362, -0.21372514963150024, -0.8909904956817627, 0.4165119230747223, -0.10312333703041077, 0.23702575266361237, -0.13783204555511475, 0.057211391627788544, 2.3095321655273438, -0.7512632012367249, -0.4877845346927643, 0.036437347531318665, 0.31716468930244446, 1.3185242414474487, 0.25930216908454895, 0.008084278553724289, 0.10100036859512329, -0.8311172127723694, 0.20105038583278656, 0.18820498883724213, 0.45798391103744507, -0.025829706341028214, 0.28321409225463867, 0.989844560623169, 0.17747505009174347, 1.1517547369003296, 0.039640411734580994, 0.9585886597633362, -0.6189070343971252, -0.5901859998703003, -0.06172872707247734, -0.38431471586227417, 0.1399393528699875, 0.4807571768760681, -0.025302136316895485, -0.9310747981071472, 0.22734510898590088, 0.2302989959716797, 0.6969896554946899, -1.8042171001434326, 0.024693377315998077, -0.0853859931230545, -0.3571825921535492, 0.46364450454711914, 0.2630094289779663, -0.08656273782253265, -2.0327045917510986, -0.012833889573812485, -0.21229305863380432, -0.04989592358469963, 0.20552954077720642, -0.04398291930556297, 0.5199928283691406, 0.35967856645584106, 0.33700883388519287, 0.3843708634376526, -1.7798795700073242, -0.5409185886383057, -0.6388109922409058, -0.5517404675483704, -0.28627294301986694, 0.02125234715640545, 0.1836097240447998, -0.8369972109794617, -0.24431364238262177, 0.2004968374967575, -1.334200382232666, -0.35286659002304077, 0.5591292977333069, 0.10072547942399979, 0.8589054346084595, -0.8336939215660095, -0.8397738933563232, -0.7375606298446655, 0.008661465719342232, 0.5577552318572998, -0.09026353061199188, -0.015908261761069298, 0.19483354687690735, -0.12102027982473373, 0.42378219962120056, 0.21013808250427246, -0.4902605712413788, 0.3074710965156555, 1.2585599422454834, -0.005087798461318016, -0.5002639889717102, -0.582815945148468, -0.802036464214325, -0.09388398379087448, -0.773979127407074, -0.030304089188575745, -0.25732752680778503, 0.43630319833755493, -0.8191664218902588, -0.5864858627319336, -0.6575794219970703, 0.08635860681533813, -0.8688256740570068, 0.8863909244537354, 0.27227887511253357, 0.48901185393333435, 1.1029505729675293, 0.33330389857292175, -0.1827995926141739, 0.14314690232276917, 1.3926775455474854, 0.21504513919353485, 1.4674227237701416, 0.2043038308620453, -0.4309004843235016, -0.21240009367465973, 1.2469589710235596, 0.25516119599342346, -1.5449774265289307, -0.5152563452720642, 1.731844425201416, 0.7402846217155457, -1.3526982069015503, -0.5748729705810547, 0.6532628536224365, -0.6486338973045349, 0.38210105895996094, 0.2769581079483032, 0.3176570534706116, -0.5940220355987549, -0.11035763472318649, 0.8740768432617188, -0.25853580236434937, 0.16681398451328278, -0.3631051778793335, -1.6403895616531372, 1.1823756694793701, 1.1598501205444336, 0.12807494401931763, 1.0048632621765137, 0.37187954783439636, 0.5574795603752136, -0.8346818089485168, 0.5674341917037964, 0.4396527409553528, -0.7249408960342407, 0.21768805384635925, -1.2010645866394043, -3.2973127365112305, -1.21638822555542, 0.854857325553894, -1.1388300657272339, 0.34977975487709045, -0.2664242386817932, -0.5281810164451599, 0.20665648579597473, -0.4663443863391876, 0.636294424533844, 0.5984889268875122, -0.21095600724220276, 0.630233883857727, 0.43966859579086304, -0.10345517843961716, -0.2353939563035965, -1.4494489431381226, 0.6503799557685852, 0.4097306430339813, -0.8523356914520264, -0.43969276547431946, -0.6263255476951599, 0.9750432372093201, 0.20219147205352783, 0.16826128959655762, 0.44581133127212524, -0.7286911606788635, -0.6714274287223816, -0.33641961216926575, 0.3527376353740692, -0.5942833423614502, -0.22815094888210297, -0.05465565249323845, -0.3027791678905487, -0.8019844889640808, -0.13973310589790344, 0.37392035126686096, 0.3529471158981323, 0.073412224650383, -9.122576713562012, 0.38694527745246887, -0.628696084022522, -0.18803051114082336, 0.4113399088382721, -1.013752818107605, -0.15863217413425446, -0.1732163429260254, -0.7876374125480652, -0.18781335651874542, 0.9273219704627991, 0.33442583680152893, -0.28944095969200134, 0.4621853530406952, 0.49066630005836487, 0.16827546060085297, 1.513993740081787, 0.10401187092065811, -2.41188645362854, -0.14438524842262268, -0.4577191174030304, 0.8774723410606384, 0.33856743574142456, 0.5652619004249573, -0.32928988337516785, 0.26248258352279663, 0.05142932012677193, -0.2802063226699829, 0.11831794679164886, -0.15367023646831512, -1.040361762046814, -0.6224324703216553, -0.5689917206764221, 0.5386567711830139, -0.2955944538116455, -0.7939072251319885, -0.13701467216014862, -0.4188796281814575, 0.0036101986188441515, -0.05440515652298927, 1.0925132036209106, -1.1020245552062988, 0.5291697382926941, 0.27100223302841187, -0.9524739384651184, 0.8454709649085999, 0.31902122497558594, -0.7560060620307922, -0.37369805574417114, -0.21685509383678436, -0.6617056727409363, 0.7018567323684692, -1.314221978187561, 1.1203311681747437, 0.18085090816020966, 0.1379120647907257, 0.43507781624794006, 0.0458025299012661, -0.09203927218914032, -0.40526020526885986, 0.15546347200870514, -0.7415778040885925, 0.27840104699134827, -0.08617491275072098, -1.1877561807632446, 0.04028460010886192, -1.3463503122329712, -0.018000196665525436, -0.38024866580963135, 0.7274782657623291, -2.0962040424346924, 0.09390667825937271, 1.3101744651794434, -0.04502636939287186, 0.24988827109336853, 0.2303691804409027, -0.8810457587242126, 0.9256277084350586, -0.8037480711936951, 0.790842592716217, -0.4118883013725281, 0.32694607973098755, -0.024812594056129456, 1.0732635259628296, 0.0009775024373084307, -0.4224148392677307, -1.023067593574524, -0.5622349381446838, 0.2309192568063736, -1.2388877868652344, 0.37785711884498596, 0.6644876003265381, -0.1362082064151764, -0.11896916478872299, 0.6994920969009399, -0.385929137468338, -0.4174656867980957, -0.36367884278297424, -0.330203115940094, 0.3302784860134125, -0.3166782259941101, 0.09552638232707977, 1.0142016410827637, 0.2801029682159424, -0.11324451118707657, 0.35341575741767883, -0.9637414216995239, 0.5459785461425781, -0.610933244228363, -0.49183031916618347, 0.7131136655807495, 0.922416090965271, -0.27528801560401917, 0.7185408473014832, -0.009906865656375885, -1.426485538482666, -0.29112178087234497, 0.02412145771086216, -0.8420993685722351, -0.25197580456733704, -0.38248518109321594, -1.3131661415100098, -0.230648010969162, 0.40364518761634827, 1.170498013496399, -0.6476796865463257, 0.43167436122894287, 0.7846694588661194, 0.0855334997177124, -0.16131500899791718, -0.7989205718040466, -1.1517276763916016, -1.3741663694381714, 1.0215353965759277, -0.1335463523864746, -0.26344943046569824, -0.08099675923585892, 0.6891748905181885, 0.026268204674124718, 0.22238261997699738, 0.7456498146057129, 1.0487332344055176, -0.7443909645080566, -0.08021765202283859, -0.17691271007061005, -0.3864775002002716, -0.21658572554588318, -0.630767822265625, -0.08148114383220673, -0.48246777057647705, -1.3146392107009888, -1.1799442768096924, 0.420470654964447, 0.6032950282096863, -0.5337662696838379, -0.7562650442123413, -0.49429887533187866, 0.653516411781311, -0.39069944620132446, -0.8413082957267761, 0.026446135714650154, -0.49364620447158813, 0.03871241211891174, 0.29196929931640625, -0.06100437045097351, -0.10725323855876923, 0.048269446939229965, 0.29029855132102966, 2.1269843578338623, 0.11849689483642578, 0.07027466595172882, 0.2984244227409363, -0.9873079657554626, 0.7753044366836548, 0.6360619068145752, -1.6574651002883911, -0.22219917178153992, -0.5683385729789734, -0.3567338287830353, -0.9694585204124451, 0.19362959265708923, 1.3046305179595947, 0.164951890707016, -0.015435063280165195, 1.0713828802108765, 0.22907276451587677, -0.4750393033027649, 0.751762866973877, 0.8515989780426025, -0.5023627281188965, -0.048441097140312195, 0.33659031987190247, -1.1130858659744263, 0.6422465443611145, -0.4587434232234955, 0.05175520479679108, -0.0701504722237587, 0.13612589240074158, 1.2439367771148682, 0.7539578676223755, 0.5399084091186523, 1.6180719137191772, 0.5105035305023193, 0.3836474120616913, -1.4150651693344116, 0.8493468761444092, 0.41389191150665283, -0.004336029756814241, 0.4785568416118622, 0.4029380977153778, -0.2740059792995453, 0.4047021269798279 ]
1,075
0704.1077
Antoine Delcroix
Antoine Delcroix (AOC), Michael Oberguggenberger (ISBE), Jean-Andr\'e Marti (GTSI)
Microlocal Asymptotic Analysis in Algebras of Generalized Functions
21 pages
Asymptot. Anal. 59, 1-2 (2008) 83-107
10.3233/ASY-2008-0885
null
math.FA math.AP
null
We introduce a new type of local and microlocal asymptotic analysis in algebras of generalized functions, based on the presheaf properties of those algebras and on the properties of their elements with respect to a regularizing parameter. Contrary to the more classical frequential analysis based on the Fourier transform, we can describe a singular asymptotic spectrum which has good properties with respect to nonlinear operations. In this spirit we give several examples of propagation of singularities through nonlinear operators.
[ { "created": "Mon, 9 Apr 2007 08:24:39 GMT", "version": "v1" } ]
2009-04-18
[ [ "Delcroix", "Antoine", "", "AOC" ], [ "Oberguggenberger", "Michael", "", "ISBE" ], [ "Marti", "Jean-André", "", "GTSI" ] ]
07
[ 0.09070060402154922, -0.029645485803484917, 0.9303302764892578, -0.3860054910182953, -0.4117407202720642, -0.42257747054100037, 0.31794485449790955, 0.28867825865745544, -0.4996723532676697, 0.4016852378845215, -0.3645259439945221, 0.09688909351825714, 0.23877671360969543, 0.0570097453892231, 0.10975828021764755, -0.45503705739974976, 0.4752504527568817, -1.5424537658691406, -1.2530981302261353, -0.4540480375289917, 0.6967741847038269, -0.7468910813331604, -0.1455649882555008, 0.28655293583869934, -0.5457636117935181, -1.4392441511154175, -0.12374310195446014, 1.2727627754211426, -0.07457568496465683, 0.0231622364372015, 1.6953916549682617, 0.08981075882911682, -0.7283036112785339, 0.6667739748954773, -0.30490878224372864, -0.7793289422988892, 0.08493756502866745, 0.5933182239532471, -0.3766642212867737, 0.040467485785484314, -0.7976779937744141, 0.10082316398620605, 1.274510383605957, -0.09072370827198029, -0.6517476439476013, -0.3055272698402405, 0.20731915533542633, 0.376982718706131, 0.40127280354499817, 0.8316929340362549, 0.49260324239730835, 1.4450407028198242, 0.552854597568512, 0.3396186828613281, 0.5309724807739258, 1.0982526540756226, -0.2845633625984192, -0.23279611766338348, 0.8309019207954407, -1.8149532079696655, 0.46802785992622375, -1.0677525997161865, -0.33737197518348694, 0.36624816060066223, -0.20367026329040527, -1.5009419918060303, 0.3256407082080841, 1.8677096366882324, 2.2241928577423096, 0.3495435118675232, -0.17359982430934906, -0.9665268659591675, 0.24737052619457245, -0.4711238443851471, -0.8080530762672424, -0.2249772548675537, 0.31747913360595703, 1.1965523958206177, 1.4819295406341553, -1.3522672653198242, -0.7463308572769165, 0.4923512935638428, -1.1471879482269287, 0.29688283801078796, -2.2981626987457275, 0.3332316279411316, 0.9992727041244507, 0.12763725221157074, 0.21786868572235107, 1.8886051177978516, 0.5813182592391968, -0.0803258940577507, -0.14814993739128113, -0.3568466603755951, -0.3154328167438507, -0.5748366117477417, 0.2986980378627777, 0.41227230429649353, 0.026637716218829155, -1.5295883417129517, -0.04698815569281578, -0.5511524081230164, -0.5869839787483215, -0.2957175374031067, 0.6441059708595276, 0.042163051664829254, 0.48404791951179504, -0.803846001625061, 0.004492050036787987, -0.24590620398521423, 1.0517691373825073, -0.01288447342813015, -1.17857825756073, 0.32943615317344666, -1.6348642110824585, 0.34408849477767944, -0.09910600632429123, 0.6481602787971497, -0.772861897945404, -0.7022184729576111, -0.4076717793941498, 0.050941262394189835, 0.540489673614502, 0.3662010431289673, -0.5704915523529053, 0.32803499698638916, -0.1639569252729416, -0.004161287564784288, -1.3708516359329224, -0.851190984249115, -0.3040645718574524, -0.15041248500347137, -0.3869537115097046, -0.3358566164970398, 0.559643030166626, 0.1959734857082367, -0.8010802268981934, 0.04136170074343681, 0.27784571051597595, 0.1159968450665474, 2.0802652835845947, -0.09391872584819794, -0.8300327062606812, 0.2732158899307251, -0.18435661494731903, -0.6203859448432922, 0.39895933866500854, -0.2846558094024658, -0.0515398345887661, 0.663675844669342, 0.09062698483467102, -0.43264979124069214, 0.009029238484799862, 0.7718502283096313, 0.3354581892490387, -0.10000693798065186, -0.6719732880592346, 0.12445370107889175, 0.3384068012237549, -0.1998363882303238, 0.200372576713562, -0.7566696405410767, 0.6382556557655334, -1.6963399648666382, 0.2716941833496094, -1.4142476320266724, 0.8089907765388489, 0.7935621738433838, -0.1589069366455078, -0.41579046845436096, -0.30606839060783386, 0.36752164363861084, 1.888364553451538, -0.2801373600959778, -0.9663441181182861, -0.6686820387840271, 0.6685655117034912, 0.05193706229329109, 0.3739114999771118, 0.48025354743003845, -0.24977615475654602, -0.4163767099380493, -0.6825425028800964, 0.6704187393188477, 0.02340073697268963, -0.5241970419883728, 0.08227293938398361, 0.28075090050697327, 0.3969488739967346, -0.40566688776016235, 0.5198712348937988, -0.8451471328735352, -0.15668503940105438, -0.7186371684074402, -1.2033172845840454, 1.798929214477539, -0.8705174326896667, -0.15803542733192444, 0.05766134336590767, 0.8418275117874146, 1.394940972328186, 0.6468707919120789, 0.17773808538913727, 0.09126150608062744, -0.6012892127037048, -0.4738541543483734, 0.32194840908050537, 0.12057211250066757, -0.6378546357154846, 0.0652933120727539, 0.34838685393333435, 1.0437601804733276, -0.13137187063694, -0.04341043531894684, 1.088311791419983, -1.0294266939163208, -0.3236530125141144, 0.028679486364126205, -0.473799467086792, 0.6231575012207031, 0.9661549925804138, 0.7349733114242554, -0.26585566997528076, 0.6014358997344971, 0.16660702228546143, 0.6401736736297607, 0.15713617205619812, -0.6887189149856567, -0.24513700604438782, -0.5902343988418579, 1.1087406873703003, -1.259192705154419, 0.6024198532104492, -0.22454459965229034, 0.037329476326704025, -0.559181272983551, 0.12441941350698471, -1.0574158430099487, -0.789261519908905, -0.09991604834794998, -1.2567754983901978, 0.6093077063560486, -0.08185528963804245, -0.5719488263130188, -0.27918562293052673, 0.31893977522850037, 1.070101261138916, -0.6429615616798401, -0.26064813137054443, 0.35278111696243286, -0.22044791281223297, 0.6761274933815002, 0.7094767093658447, -0.3172414004802704, 0.37006813287734985, 0.2952164113521576, -0.019438374787569046, -0.5760537981987, -0.4917440414428711, -0.006766546983271837, 0.9972633719444275, -0.2534118890762329, 0.5879237055778503, 1.2685409784317017, -0.7292344570159912, -1.15965735912323, 0.7568839192390442, 0.5210100412368774, 1.7675899267196655, -1.034759521484375, -1.2939608097076416, 0.7594769597053528, 1.5784175395965576, -0.19916196167469025, -0.9036799669265747, -1.0013415813446045, -0.3613874018192291, -0.08905180543661118, 0.7171086072921753, -0.45911887288093567, -0.22169186174869537, -0.5115127563476562, -0.32918521761894226, 0.5152707695960999, 1.7484076023101807, 0.03609510511159897, 0.4255968928337097, -0.46056362986564636, -0.4056612253189087, 0.20224520564079285, 1.1752198934555054, 0.6786267161369324, -0.6585327982902527, 0.2478773444890976, -1.2400166988372803, -0.25676828622817993, -1.4842358827590942, 1.4391589164733887, 0.7520701289176941, 0.015362300910055637, 0.2597571611404419, -0.48012232780456543, -0.24332652986049652, -0.35778623819351196, 0.0350838340818882, -0.7193716764450073, -1.063765048980713, -0.8387140035629272, -0.13651186227798462, 0.889080286026001, -0.20498917996883392, 0.44690391421318054, -0.21688903868198395, -0.7337926626205444, -0.005056785885244608, 0.3259924352169037, 0.6139289140701294, -0.014944869093596935, 0.1344912350177765, -0.2189377248287201, -0.27930471301078796, 0.40099963545799255, -0.5114167928695679, 0.6631525158882141, 0.04049624875187874, -0.3917123079299927, 0.8607863187789917, 0.3372192084789276, 0.3346278667449951, -0.8844194412231445, -0.7613805532455444, -0.626411497592926, 0.6891543865203857, 1.0281798839569092, -0.023548832163214684, -0.21055780351161957, -0.6944365501403809, -1.1627545356750488, 1.3489066362380981, 0.24751631915569305, 0.3702705502510071, -0.38622328639030457, 0.15738482773303986, 0.201182022690773, -0.1703331470489502, -1.122635841369629, -0.03450753912329674, -0.8289116024971008, -0.11889041215181351, 1.2226128578186035, -0.6818644404411316, 0.19343754649162292, -0.7337303161621094, -0.5014244914054871, -0.06819619238376617, -0.02540358528494835, 0.5469561815261841, 0.549185037612915, -0.3446788489818573, -0.7399150729179382, -0.28691139817237854, -0.6543253660202026, 0.9522164463996887, -1.5449539422988892, 1.1453734636306763, 1.281075119972229, -0.6444312930107117, 0.4961358308792114, -0.2979374825954437, -0.851813018321991, -0.5621193051338196, 0.19523802399635315, -1.1268666982650757, -0.73719722032547, -1.0017393827438354, -1.1586670875549316, 0.39886438846588135, 0.7739230990409851, 0.9725892543792725, -0.0788617953658104, 0.4922293424606323, 0.7174919247627258, -0.6823816299438477, 0.33714044094085693, 0.2799450755119324, -0.1141739934682846, -0.12377666682004929, 0.7453485727310181, -1.3128520250320435, 0.2575988471508026, -0.9239341020584106, 0.1850987672805786, 1.2640262842178345, 0.1461208015680313, 0.10908158868551254, 0.973999559879303, 0.25171974301338196, 0.037766292691230774, -0.4712770879268646, 0.2076195478439331, -1.3921771049499512, -0.016362568363547325, -0.8693913817405701, -1.0586729049682617, 0.7482697367668152, -1.8207603693008423, -0.05470907315611839, 0.8863189816474915, -0.840836226940155, 0.6539486050605774, -0.022742900997400284, 1.4788737297058105, -0.32116901874542236, -0.8555267453193665, -0.2665852904319763, -0.36060115694999695, 0.013574800454080105, -0.7317615747451782, -0.31938034296035767, -1.3064790964126587, -0.47449755668640137, -0.10590110719203949, 0.2105320692062378, 0.1623716652393341, 0.4582670032978058, -0.34956488013267517, -0.8100780844688416, 0.4234463572502136, 0.13336417078971863, 0.2750905454158783, -0.5030505061149597, -1.3796287775039673, 0.9270280599594116, 0.21917811036109924, 0.26548558473587036, 1.1434917449951172, -0.7327097654342651, 0.2369193136692047, 0.2852289080619812, -0.26378053426742554, -1.7534680366516113, 1.912063717842102, -0.7911019325256348, 0.015180790796875954, 1.4436161518096924, -0.9275404810905457, 0.5508473515510559, 1.1393871307373047, 1.0681483745574951, -1.0501070022583008, 0.8630056977272034, 0.6965811252593994, 0.22662417590618134, -0.6936487555503845, 0.38028332591056824, -0.9949479699134827, -0.5787491798400879, 0.11348017305135727, 0.2787313461303711, 0.775177001953125, -0.6688649654388428, -0.3180513381958008, -0.11696595698595047, -1.0640102624893188, -0.2419072985649109, -0.909712553024292, -0.3077898621559143, -0.19144520163536072, -0.508173942565918, 0.24002571403980255, -0.09266681224107742, 0.10001567751169205, 0.5682551264762878, -0.267988383769989, 0.3121052384376526, -0.2119344025850296, -1.6685948371887207, -0.1939769685268402, 1.536374568939209, -0.4135555028915405, 1.8159741163253784, 0.531245231628418, 0.04509691148996353, 0.4185694754123688, -0.486569344997406, -0.10118762403726578, -0.7213032841682434, 0.08261863887310028, -0.48517435789108276, 1.1014759540557861, -1.087887167930603, 0.935059666633606, -0.7029526829719543, -0.8429397940635681, -0.775083065032959, 0.7240200042724609, 0.16788829863071442, -0.5268651843070984, -0.17494022846221924, 0.9803928136825562, -0.07770582288503647, 1.3151227235794067, -0.6090897917747498, -1.543506145477295, -0.572188138961792, -0.03908554092049599, 0.07382555305957794, 1.001531720161438, -0.4731746315956116, 1.4700983762741089, 0.2990650236606598, -0.5216975808143616, 0.26416879892349243, 1.6234281063079834, 0.9163405895233154, 0.18185853958129883, 1.076134443283081, -2.713015556335449, -0.27340933680534363, 0.21867288649082184, 0.4927361011505127, -0.6181281208992004, 0.19617944955825806, -0.7360865473747253, -0.7828505635261536, -0.6749261021614075, -0.23896321654319763, -0.7605825066566467, -0.488430380821228, 0.16185703873634338, -0.5508858561515808, 0.2117527574300766, 0.3078116476535797, 0.39565491676330566, -0.0032204978633672, -1.0501699447631836, 0.1904907375574112, 0.13865093886852264, -0.8866894841194153, 0.737057089805603, 0.4180333614349365, -0.8629971146583557, -0.04777493700385094, -0.8433027863502502, 0.07514756172895432, -0.36033380031585693, -0.027706876397132874, 0.2857799828052521, -0.43840643763542175, 0.16352947056293488, -0.6729401350021362, -0.43638893961906433, 0.16706915199756622, -0.2757265865802765, 0.47094470262527466, 0.2910900413990021, -7.831909656524658, -0.1639808714389801, -0.009267457760870457, -0.16975975036621094, 0.7174639701843262, -0.7161205410957336, -1.1137038469314575, -0.5156760811805725, 0.4497462511062622, 0.901770293712616, 0.0743870958685875, -0.1691030114889145, 0.038138728588819504, 0.06772542744874954, -1.2919548749923706, -0.8463752269744873, -0.17416058480739594, 0.4716155230998993, 0.29761165380477905, -0.35993826389312744, -1.0200824737548828, -0.11380612105131149, 0.39892613887786865, -0.1965617686510086, 1.3885691165924072, 0.04953731223940849, -0.15224339067935944, -0.07985708117485046, -0.6660134792327881, -0.07377053797245026, -0.5630452632904053, 1.0528124570846558, 0.4151439070701599, 0.9896093606948853, -0.569307267665863, -1.0546021461486816, 0.2407820224761963, -0.9981043338775635, -0.1333000659942627, 0.255252867937088, 0.7474617958068848, 0.04823906347155571, -2.0037360191345215, 1.0622832775115967, -0.1287243515253067, 1.4567077159881592, -0.4065578281879425, 0.6530709266662598, -0.3262522220611572, 0.3396660089492798, -0.532269299030304, 1.129306674003601, -0.14009203016757965, -0.31503826379776, 1.0648956298828125, 0.029553044587373734, -0.3737052381038666, -0.5563735365867615, -1.4884486198425293, 0.24082769453525543, -1.2757545709609985, -1.1693862676620483, -0.33019715547561646, -0.6479120254516602, -1.0940628051757812, 1.1285487413406372, -0.12145793437957764, 1.1132636070251465, -0.3994836211204529, 0.1806863695383072, -0.4386303722858429, 0.5301540493965149, 0.1751268059015274, 0.4279588460922241, -1.4726885557174683, -0.5024193525314331, 0.14551031589508057, -0.9275975227355957, -0.30233925580978394, 0.9423509836196899, 0.8498965501785278, 0.025419458746910095, -0.44286859035491943, 1.4199954271316528, -1.4254851341247559, 0.3170541524887085, 0.11412126570940018, -0.12420496344566345, 0.02394344098865986, -0.1352103352546692, -0.11779114603996277, -1.1315181255340576, -0.3733721673488617, -0.07337252795696259, -0.6931174993515015, 0.09371670335531235, -0.21154363453388214, 0.03211953118443489, -1.376299262046814, -0.49731823801994324, -0.23563893139362335, 0.0835900604724884, 0.14987477660179138, 0.12153258174657822, -0.4435306489467621, -0.41917678713798523, -1.0075780153274536, 0.6472590565681458, -0.3651229739189148, -1.1346220970153809, -0.06706470251083374, 0.7318121194839478, 1.1447550058364868, -0.40435463190078735, 0.4602486193180084, 1.0933196544647217, -0.29229089617729187, 0.30452820658683777, -1.2643694877624512, -0.5285751819610596, 1.1039299964904785, -1.7309318780899048, 0.16823065280914307, 1.5233043432235718, 0.3831089437007904, -1.3246536254882812, -1.3108083009719849, -0.528958797454834, -0.45335039496421814, -1.1157041788101196, -1.050048589706421, 0.51605224609375, 0.41872042417526245, 0.8390992879867554, -0.6146064400672913, -0.16056525707244873, 0.18364514410495758, -1.0771026611328125, -0.9318405389785767, 0.05833737924695015, 0.1057741641998291, -0.3910643756389618, -0.9153123497962952, -0.4152834415435791, 0.2868576943874359, 0.2951115667819977, 0.012211308814585209, -0.04075615480542183, 0.4196222424507141, 0.9010928273200989, 0.7493418455123901, -0.3736862242221832, 0.7499505877494812, 0.11956418305635452, -0.3147961497306824, -0.8775609135627747, -0.9384031295776367, -0.9250021576881409, -0.028433185070753098, -0.3387778103351593, -0.5965191125869751, -0.6747626662254333, 2.0209081172943115, 1.9225590229034424, 0.9683123826980591, -0.5697752833366394, 0.024753719568252563, -0.3060643672943115, -0.42656561732292175, 0.19687680900096893, 0.2891409397125244, 0.4440496861934662, 0.45119479298591614, -0.28806546330451965, -0.4504086971282959, 0.28483834862709045, -1.0100926160812378, 0.73663330078125, 0.06743866950273514, 0.16364794969558716, -0.10982385277748108, 0.058139875531196594, -0.3269873857498169, 0.47150731086730957, -0.16962431371212006, 1.0340259075164795, -0.13000304996967316, 0.5853488445281982, 0.6425313353538513, -1.068556308746338, 0.6367037892341614, -0.6254035830497742, -0.852557361125946, 0.9863587021827698, 0.6852741837501526, -0.18385069072246552, -0.17474856972694397, 0.007410312071442604, -0.3580531179904938, 0.006797453388571739, 1.37237548828125, 0.9291196465492249, 0.03647950664162636, 0.090937539935112, 0.03782319650053978, -0.612174928188324, -1.1598235368728638, -0.3631440997123718, 0.3265036940574646, 0.47254469990730286, 0.15322616696357727, 0.19222228229045868 ]
1,076
0704.1078
Takayuki Goto
Keishi Kanada, Takehiro Saito, Akira Oosawa, Takayuki Goto, Takao Suzuki
1H-NMR Study on the Magnetic Order in the Mixture of Two Spin Gap Systems (CH3)2CHNH3CuCl3 and (CH3)2CHNH3CuBr3
11pages, 4 figures
null
10.1143/JPSJ.76.064706
null
cond-mat.str-el cond-mat.stat-mech
null
The antiferromagnetic ordering in the solid-solution of the two spin-gap systems (CH3)2CHNH3CuCl3 and (CH3)2CHNH3CuBr3 has been investigated by 1H-NMR. The sample with the Cl-content ratio x=0.85 showed a clear splitting in spectra below TN=13.5 K, where the spin-lattice relaxation rate T1-1 showed a diverging behavior. The critical exponent of the temperature dependence of the hyperfine field is found to be 0.33.
[ { "created": "Mon, 9 Apr 2007 08:38:01 GMT", "version": "v1" } ]
2009-11-13
[ [ "Kanada", "Keishi", "" ], [ "Saito", "Takehiro", "" ], [ "Oosawa", "Akira", "" ], [ "Goto", "Takayuki", "" ], [ "Suzuki", "Takao", "" ] ]
07
[ -1.6426185369491577, -0.3278670012950897, 1.209267020225525, -0.8500425219535828, -0.9888989925384521, -0.8260090947151184, -0.2293442189693451, -0.06355848163366318, -0.4203569293022156, 0.1735522449016571, -0.45189374685287476, 0.23524217307567596, 0.3134121596813202, 0.4861552119255066, -1.9967178106307983, 0.2448853850364685, -0.6856134533882141, 0.4804520308971405, 0.8317950963973999, 0.4424191117286682, 0.5477407574653625, 0.5069306492805481, 0.41108834743499756, -0.2682524025440216, -0.4259112477302551, 0.6819745302200317, -0.9872180223464966, -0.8044844269752502, -0.26669690012931824, 0.4438200294971466, -0.3404480516910553, 0.039108630269765854, 0.7595158815383911, 0.11444976180791855, -0.6641497015953064, -1.0346298217773438, 0.7031115889549255, 0.5076695680618286, -1.0775206089019775, 0.6260908842086792, 0.6855215430259705, 1.1241534948349, -0.3549259603023529, 0.02578970417380333, -1.4814419746398926, 0.6749491095542908, -0.1697617620229721, -0.9337681531906128, -0.6061511635780334, -1.2267169952392578, 0.5339974164962769, -0.03810523822903633, -1.051939845085144, -0.2677428126335144, -0.028729798272252083, 1.3919140100479126, -1.0741108655929565, 1.123338222503662, -0.011612676084041595, -0.6416410207748413, -0.2533656358718872, 0.2263563722372055, -0.2951914072036743, 0.03836153820157051, -0.17272531986236572, -0.31510239839553833, 0.0022138715721666813, 0.8536164164543152, 0.1984737664461136, 0.2564752697944641, 0.12830853462219238, -1.5570553541183472, -0.9958639144897461, 0.13947539031505585, -0.060775913298130035, 0.2925732135772705, -0.9706429839134216, 0.09403129667043686, 1.357330322265625, -0.2785784900188446, 0.4557913541793823, 0.4196683466434479, 0.09509142488241196, 0.48010802268981934, 1.2811591625213623, -1.234938144683838, 0.8590936660766602, 0.2889145016670227, -0.2701328694820404, 0.9609729647636414, -0.1446794867515564, -1.002488136291504, 1.1407314538955688, -0.5874214172363281, -0.22105172276496887, -0.6274318695068359, -0.8482314348220825, -0.20891506969928741, -0.6464579105377197, 0.6020185351371765, -1.1760833263397217, 0.07471615076065063, 0.2628595232963562, -0.9559305906295776, -0.8754083514213562, -0.012762904167175293, 0.12547913193702698, -1.0803632736206055, 0.9910216927528381, -0.2598104178905487, -0.595031201839447, 0.23142512142658234, 0.1121317595243454, 0.6590746641159058, -0.9924871921539307, 0.7771512269973755, -0.46036002039909363, -0.174089252948761, 1.0795694589614868, -0.69391268491745, -0.6312086582183838, -0.5095691680908203, -0.8528594970703125, -0.19387823343276978, 0.9147083759307861, -0.3581136465072632, -1.1664873361587524, -0.38396522402763367, 0.18108800053596497, -1.0893232822418213, -0.20971305668354034, -0.32847684621810913, -0.3215215802192688, 0.508948028087616, 0.8554654121398926, 0.29597410559654236, 0.7179182767868042, -0.02493511326611042, 0.09136831760406494, -0.1959509253501892, 0.6565946936607361, -0.7004272937774658, -0.3906029164791107, -1.8448967933654785, -0.13710910081863403, -0.5229425430297852, -0.8018276691436768, 0.41305041313171387, 1.6324760913848877, -0.4180547297000885, 0.6132957935333252, 0.8802306652069092, 0.6242216229438782, -0.008099350146949291, -0.7112142443656921, -0.9214364886283875, 1.1189632415771484, 0.14536064863204956, -2.026418685913086, 0.8455669283866882, 0.38386842608451843, 0.9768355488777161, -0.960936963558197, -0.7285616397857666, -0.474967896938324, 0.21173341572284698, -0.026276778429746628, 0.16494819521903992, 0.08333265036344528, 0.9762818813323975, 1.4348008632659912, -0.5482224822044373, -0.774983286857605, 0.040986429899930954, -0.6745692491531372, 2.4617128372192383, 0.15261688828468323, -0.917652428150177, 0.37742188572883606, 1.1370139122009277, -1.2498282194137573, -0.4558674991130829, -1.0575180053710938, 0.3802114427089691, -0.6115276217460632, -0.31320804357528687, -0.27769848704338074, -0.6917144060134888, -1.1624501943588257, -0.11184418946504593, 0.4853651225566864, -0.2293853461742401, -0.2604456841945648, -1.2559783458709717, -0.1877213567495346, 1.5922832489013672, 0.6176022291183472, -0.44557422399520874, -0.5453374981880188, -0.10308279097080231, 0.7774291634559631, 0.503093421459198, 0.35018572211265564, 0.35400107502937317, -1.5836281776428223, -0.3790431022644043, 0.5562242865562439, -0.12769648432731628, -0.03737398609519005, 0.12847761809825897, -0.6630487442016602, -0.43902862071990967, -1.4410346746444702, 0.2706202566623688, 0.825657069683075, -0.5189422369003296, 0.11694766581058502, -0.6495065093040466, 0.5426530241966248, 0.3560819923877716, 0.37100011110305786, 0.12651951611042023, 0.6065191030502319, 1.1476266384124756, 0.1517520397901535, 1.3140314817428589, -0.19090671837329865, -0.01598985679447651, 1.6885052919387817, 0.5378461480140686, -0.30543580651283264, 0.09618081897497177, -0.18648965656757355, -0.2261987328529358, -0.026211215183138847, -0.9742560982704163, -1.0615315437316895, 0.25942593812942505, -0.3007461428642273, 0.09614807367324829, 0.09158238023519516, 0.14914178848266602, -0.21974000334739685, 0.49219703674316406, -0.2552531659603119, -0.6354466676712036, 0.2789148688316345, 2.036712884902954, -0.5516672730445862, -0.06388252973556519, -1.511500358581543, 0.3628492057323456, -0.07360152900218964, -0.47273996472358704, -1.76811945438385, 0.8713347911834717, -0.03571426123380661, 0.06288149952888489, 0.3701418340206146, 0.08587388694286346, -0.2798466086387634, 0.12633556127548218, 0.9489829540252686, -0.5495867729187012, -0.4636722207069397, 1.0515029430389404, -0.7950617074966431, -0.21840056777000427, -0.2299649715423584, 0.1035337969660759, -0.11144562810659409, 0.4763904809951782, 0.5358417630195618, 0.0047737425193190575, 0.14500737190246582, -0.7035228610038757, -0.2830052673816681, -1.3959347009658813, 0.3679385185241699, -0.11003193259239197, 1.385817050933838, 0.45866039395332336, 0.15525633096694946, 1.1953094005584717, -1.9464240074157715, -1.1660773754119873, 0.025585206225514412, 0.16164103150367737, 0.9047237634658813, 0.15278871357440948, -1.0603364706039429, 0.05610313639044762, -0.29183098673820496, -0.49486538767814636, -2.191861867904663, -0.489743173122406, -0.009519398212432861, -0.5063263177871704, 0.6690180897712708, -0.2935403287410736, -0.5513533353805542, 0.5241217017173767, 0.03675065189599991, 0.3850543797016144, 0.016823265701532364, -0.09753131121397018, 1.3500933647155762, -0.28412139415740967, -0.23237183690071106, -0.16986465454101562, 0.15496839582920074, 0.9108433127403259, 1.2236757278442383, -0.7727556824684143, 1.4904040098190308, -1.1743942499160767, 0.41536739468574524, 0.6506169438362122, -0.9195425510406494, 0.5512567758560181, 0.9230133891105652, 0.6232902407646179, 0.49174216389656067, 1.275368094444275, -0.6444874405860901, -1.017730474472046, -1.264083743095398, -1.1045583486557007, -1.0053818225860596, 0.3408539295196533, 0.32288503646850586, -0.03315809369087219, -0.44122520089149475, -0.4692898988723755, 0.5216813087463379, 0.16426043212413788, -0.6631441712379456, 1.1607462167739868, 1.3080799579620361, -0.4241410791873932, -0.20516738295555115, 0.7575889229774475, -0.3429083526134491, 0.17070592939853668, 0.5196754336357117, 0.306612491607666, -0.01907285302877426, 1.108142614364624, -0.7307723164558411, 0.6094019412994385, -0.6522660255432129, -1.1785458326339722, -0.09231387078762054, 0.3420224189758301, 0.31216734647750854, 0.45552319288253784, 0.2637687027454376, 1.1057460308074951, 0.5708531737327576, 0.7936959862709045, 0.7254915833473206, -0.945453405380249, 1.291158676147461, 0.5861796736717224, -0.2866469919681549, 0.34346699714660645, -0.6097615957260132, 0.5755210518836975, -0.02537493035197258, -0.5837719440460205, -0.6613272428512573, -0.7073282599449158, 1.000084400177002, -0.37709638476371765, 0.6952700614929199, 0.14746958017349243, -1.0737501382827759, -0.14330433309078217, 0.6517457962036133, -0.43033286929130554, 0.5292360186576843, -0.5342823266983032, 1.5805749893188477, -0.7763013243675232, 1.7887085676193237, -0.29475831985473633, -0.28355032205581665, -0.24206623435020447, 0.32093891501426697, 0.18404905498027802, 0.4994680881500244, 0.6434872150421143, 0.292039692401886, -0.4060917794704437, -1.3296029567718506, 0.2150103598833084, -0.25584033131599426, -0.5538243055343628, -0.2139912247657776, -0.5870566964149475, -0.11564452946186066, -0.04314172640442848, -0.620860755443573, 0.6659730076789856, 0.037176936864852905, 1.2130564451217651, 0.5445052981376648, -0.25375881791114807, -0.9139439463615417, 0.2736198604106903, -0.14169032871723175, 1.1865408420562744, 0.7413033843040466, -1.335160732269287, 1.453217625617981, -0.6706091165542603, 0.44693723320961, 1.859420657157898, 0.16717372834682465, -0.03128780424594879, -0.0051765842363238335, -1.158027172088623, -0.7968862652778625, 0.6631761193275452, -1.1517548561096191, -0.5086150765419006, 0.5328294038772583, 0.10099701583385468, -0.46317607164382935, 0.6422551274299622, 0.9591952562332153, 0.4961528480052948, -0.6378765106201172, 0.3912324607372284, -0.7349110841751099, -0.7177926898002625, 1.0274757146835327, -0.013237202540040016, 0.9948334097862244, 0.16406768560409546, -0.4498147964477539, -1.4473316669464111, -1.2751824855804443, 0.3210606873035431, -0.3661428987979889, -1.0709816217422485, -1.701440453529358, 0.7954494953155518, -1.1114070415496826, 0.07060950249433517, 0.21274924278259277, -0.7315778136253357, -0.1971411556005478, -0.21189706027507782, 1.1635808944702148, 0.7957854270935059, -0.46536141633987427, 1.8294373750686646, 0.7434993386268616, 0.14650103449821472, 0.08495815098285675, -0.29903745651245117, 0.2761702835559845, -1.0380792617797852, 0.48122403025627136, -1.0228402614593506, 0.4327625334262848, 0.5821874737739563, 1.059676170349121, 2.195469379425049, 0.48745980858802795, -0.5578075051307678, -1.4061086177825928, -0.6629177331924438, -1.154855489730835, -0.4935058057308197, 0.07310031354427338, 0.3411897122859955, -0.34573525190353394, 1.6545040607452393, -0.03257807344198227, -0.36956629157066345, -0.2918601930141449, -0.060472272336483, -0.6713256239891052, 0.419408917427063, -0.3108028471469879, 1.1343846321105957, -0.45204558968544006, 0.3989785313606262, 0.21850061416625977, 0.22637881338596344, -0.6171960830688477, 0.3564090430736542, -0.1381237506866455, 0.018729984760284424, 0.4026208519935608, -0.17330077290534973, 0.32134759426116943, -1.3734115362167358, 0.4982398748397827, -1.179991602897644, -0.10894931852817535, -0.004443624056875706, -1.1428465843200684, 0.2254784256219864, -0.2979399859905243, -0.6292248964309692, -1.3717827796936035, 0.6877129077911377, 0.531394898891449, 0.675595760345459, -0.03419353812932968, -0.033333949744701385, -0.35052838921546936, -0.49696364998817444, -1.5378339290618896, -2.643404245376587, 0.11262781172990799, -1.208174467086792, -1.0919060707092285, 0.06437647342681885, 0.2623354494571686, -0.6328189373016357, 0.5667049884796143, -0.7990152835845947, 0.10631626099348068, 1.0155013799667358, 0.6922567486763, -0.0389593169093132, -0.7047966122627258, 0.14344076812267303, 0.7297132015228271, 0.6811378002166748, 0.20175589621067047, 1.173073649406433, 0.2570403218269348, -0.0024343966506421566, -0.9215223789215088, 1.3353707790374756, -0.4684271812438965, -0.7142887115478516, -1.2732871770858765, -0.5981196165084839, 0.019610654562711716, -0.3022826611995697, -0.08591970801353455, -0.4376516342163086, 0.11879324913024902, 0.4083661437034607, -0.49245068430900574, -1.574130654335022, -1.1038954257965088, 0.6987384557723999, -1.2510725259780884, 0.9194561839103699, -7.085201263427734, 0.41881313920021057, -0.09794773906469345, -0.5199830532073975, 0.1434723436832428, 0.17546087503433228, 0.6749752163887024, -0.7973370552062988, 0.5440844893455505, -0.04124709963798523, -0.006693221163004637, 0.8008920550346375, -1.1266412734985352, -0.7425433397293091, -0.0020354706794023514, -0.368937611579895, 0.280529648065567, -0.828210711479187, 0.35571250319480896, -0.9840031862258911, 0.42875179648399353, -1.1698579788208008, -0.3865100145339966, 0.7495316863059998, -0.5533235669136047, 0.419143408536911, -1.3292179107666016, -0.10787031054496765, -0.7593132853507996, 0.060502707958221436, -0.3352634310722351, 1.1589505672454834, 0.4292661249637604, -0.47879883646965027, 0.04186878725886345, 0.09011784940958023, 0.7582604289054871, 0.4564793109893799, -0.44327783584594727, -0.6704373955726624, 0.9399484395980835, 0.3447633981704712, -0.2406454235315323, -1.059841513633728, -0.7696962952613831, 0.12613016366958618, -0.028103815391659737, -0.5314838886260986, -1.0400314331054688, 1.524062991142273, 1.2105541229248047, 0.6771679520606995, -0.6218266487121582, -0.2163422852754593, 1.6011786460876465, -0.5879591703414917, -0.427896648645401, -0.22862905263900757, -0.9349949955940247, 0.22234056890010834, 0.6932342052459717, -0.20480118691921234, -0.5506021976470947, 0.04771927744150162, 0.018969763070344925, 0.5678648948669434, -0.5103123784065247, 0.005766946356743574, 1.246781826019287, -1.0147581100463867, -0.17345774173736572, -1.3340052366256714, 0.2656795382499695, 0.5781212449073792, 0.34801748394966125, -0.625029981136322, 0.823651134967804, 0.030878737568855286, -0.4106508791446686, 0.7201706767082214, -1.3333882093429565, 0.2739671766757965, -0.3435586392879486, 1.3070124387741089, 0.17302070558071136, 0.1535530984401703, 0.597335934638977, -0.20602017641067505, 0.7107062935829163, -0.8825936317443848, 0.10821468383073807, 0.8622415065765381, -0.4242987632751465, -0.5615742802619934, -1.1950145959854126, -0.8147136569023132, -0.3334195911884308, -0.2519872188568115, -0.3981974124908447, -0.06552397459745407, -0.6774718165397644, -0.5718187689781189, -0.18178334832191467, 0.008753648027777672, 0.3105899691581726, -0.18022990226745605, -0.3959546685218811, -0.12979160249233246, -1.2948857545852661, -0.7270795106887817, -0.4448334872722626, 0.08032003045082092, -0.6946828961372375, -0.21484194695949554, 0.3829350769519806, 0.68954998254776, -0.10235867649316788, 0.7667531371116638, -0.9603267312049866, 1.0601593255996704, -0.5255770683288574, 0.7576690912246704, -0.33180588483810425, -0.9519344568252563, 1.1963123083114624, 0.44893404841423035, -0.067751944065094, -1.6018542051315308, -0.26002633571624756, 0.9791806936264038, 0.048441994935274124, -0.22347743809223175, 1.135128378868103, 0.3586340844631195, 0.06066669151186943, 0.6419596672058105, -0.5614328384399414, 0.20306257903575897, -0.17385663092136383, 1.2712513208389282, 0.8998116850852966, 1.3911182880401611, 0.4219893515110016, -0.9134922623634338, 0.39246129989624023, 0.07320501655340195, -0.3183175325393677, 0.13513505458831787, -0.5538704991340637, -0.17883464694023132, 1.4869036674499512, -1.0231125354766846, 1.2871359586715698, -0.24935239553451538, 0.5083193182945251, -0.34920352697372437, -0.3999839723110199, 0.20988014340400696, -1.0256447792053223, 0.45512279868125916, 0.4493272304534912, 0.5783045291900635, -0.30978843569755554, 1.165636420249939, -1.2606754302978516, -1.6198989152908325, -0.1924421489238739, -0.49359723925590515, 0.026363180950284004, -1.4535247087478638, -0.25994008779525757, 1.4689407348632812, -0.2842669188976288, -0.34153997898101807, 0.15177927911281586, 0.3549209237098694, 0.20638450980186462, 0.9169348478317261, 0.46349042654037476, -1.5163835287094116, -0.7192688584327698, -0.9734571576118469, -0.08837088942527771, -0.06384913623332977, -0.3755832612514496, 0.8694612979888916, -0.22465503215789795, -0.45437949895858765, -0.04860738292336464, 0.44429275393486023, 0.6075881719589233, 0.24882075190544128, -0.3787761330604553, -0.6014047861099243, -0.7226023077964783, 0.7981875538825989, 0.583740770816803, 0.8012497425079346, -0.19696876406669617, -0.1352592557668686, 0.26182955503463745, 0.9612160325050354, -0.9894891381263733, 0.1974874585866928, 0.4875207543373108, -0.4744921922683716, -0.19755792617797852, -1.4503483772277832, 0.964484453201294, -0.5178428888320923, 0.6742339730262756, -0.5583143830299377 ]
1,077
0704.1079
Angel M. Uranga
L.E. Ibanez, A.N. Schellekens, A. M. Uranga
Instanton Induced Neutrino Majorana Masses in CFT Orientifolds with MSSM-like spectra
68 pages, 2 figures; v2. typos corrected, refs added
JHEP 0706:011,2007
10.1088/1126-6708/2007/06/011
IFT-UAM/CSIC-07-12, CERN-PH-TH/2007-061
hep-th hep-ph
null
Recently it has been shown that string instanton effects may give rise to neutrino Majorana masses in certain classes of semi-realistic string compactifications. In this paper we make a systematic search for supersymmetric MSSM-like Type II Gepner orientifold constructions admitting boundary states associated with instantons giving rise to neutrino Majorana masses and other L- and/or B-violating operators. We analyze the zero mode structure of D-brane instantons on general type II orientifold compactifications, and show that only instantons with O(1) symmetry can have just the two zero modes required to contribute to the 4d superpotential. We however discuss how the addition of fluxes and/or possible non-perturbative extensions of the orientifold compactifications would allow also instantons with $Sp(2)$ and U(1) symmetries to generate such superpotentials. In the context of Gepner orientifolds with MSSM-like spectra, we find no models with O(1) instantons with just the required zero modes to generate a neutrino mass superpotential. On the other hand we find a number of models in one particular orientifold of the Gepner model $(2,4,22,22)$ with $Sp(2)$ instantons with a few extra uncharged non-chiral zero modes which could be easily lifted by the mentioned effects. A few more orientifold examples are also found under less stringent constraints on the zero modes. This class of $Sp(2)$ instantons have the interesting property that R-parity conservation is automatic and the flavour structure of the neutrino Majorana mass matrices has a simple factorized form.
[ { "created": "Mon, 9 Apr 2007 08:28:49 GMT", "version": "v1" }, { "created": "Wed, 25 Apr 2007 12:57:44 GMT", "version": "v2" } ]
2009-11-13
[ [ "Ibanez", "L. E.", "" ], [ "Schellekens", "A. N.", "" ], [ "Uranga", "A. M.", "" ] ]
07
[ 0.12445054203271866, -0.4488244652748108, 0.7808209657669067, -0.07951617240905762, -0.006852809339761734, -0.14935840666294098, -0.39175596833229065, -0.3418114185333252, -0.8267511129379272, -0.8735188245773315, 0.4275899827480316, -1.3289532661437988, 0.25678110122680664, -0.6958606839179993, 0.16991829872131348, 0.6920104026794434, 0.1286095380783081, -0.7275240421295166, 0.26928654313087463, 0.877761721611023, 0.080002561211586, 0.0891825258731842, -0.9382274746894836, -0.36034512519836426, 0.4254605770111084, -0.42788100242614746, -1.1165452003479004, -0.4304952621459961, -1.120163083076477, -0.3316420018672943, -0.5053374171257019, 0.5106481313705444, -0.10143408924341202, 0.8712122440338135, 0.8528276681900024, -0.563793420791626, -1.1175587177276611, -1.872572422027588, -0.9589411616325378, -0.10294884443283081, -1.146209716796875, 1.2581915855407715, -1.3067247867584229, -0.44395458698272705, -0.1936909407377243, -0.023714406415820122, -0.14869774878025055, -0.7051572799682617, 0.6933908462524414, 1.743390679359436, 0.9808460474014282, 1.9923295974731445, -0.25563907623291016, 0.2429019659757614, 0.15094052255153656, 1.5890346765518188, -0.9797273874282837, -0.48906823992729187, 0.29937469959259033, 0.28328678011894226, -0.6303327679634094, 1.0669364929199219, 0.594193160533905, 1.7928647994995117, -0.13945670425891876, -0.010765748098492622, -0.7540172338485718, 0.23912008106708527, -0.28293654322624207, 0.45917683839797974, -0.39660945534706116, 1.0305925607681274, -0.7174080610275269, -0.6260722279548645, -1.2239488363265991, -1.0053941011428833, 0.7006207704544067, -1.2324671745300293, 0.148227259516716, -1.3188197612762451, -0.6895936727523804, -0.37466171383857727, -1.3436410427093506, -1.1289108991622925, -0.18111814558506012, -0.2388582080602646, -0.5475903749465942, -1.7287845611572266, 0.21389371156692505, 1.277002215385437, 1.529587745666504, 0.48002925515174866, 0.2349565178155899, 1.2764384746551514, 0.5502815246582031, 0.19386978447437286, -0.8025095462799072, 0.2911221385002136, 0.06237867474555969, 1.445460557937622, -0.09386038780212402, 0.9896619915962219, 0.043629251420497894, 0.5559482574462891, -1.1925228834152222, 0.059481602162122726, -1.0661977529525757, 0.4073193073272705, 0.05827420577406883, 0.499327152967453, 0.31890684366226196, -0.9391083121299744, -0.5323776602745056, -1.312651515007019, -1.5127902030944824, 0.17783240973949432, 1.5760911703109741, 0.6992149353027344, -0.18889673054218292, -0.060316603630781174, -2.2272539138793945, 0.4224700927734375, 1.129156231880188, 0.13430644571781158, 1.1214369535446167, -0.9511238932609558, -1.374713659286499, -0.30612778663635254, 0.4740106463432312, 0.011484378948807716, 1.6556767225265503, 0.052895668894052505, 0.8928825259208679, -0.3531692922115326, 0.9299077391624451, 0.2389795482158661, 0.19702038168907166, 0.644637405872345, 0.7984135746955872, -0.3218025267124176, -0.14727146923542023, 0.32083964347839355, -0.2893965244293213, 1.3428802490234375, 1.6606907844543457, -0.8672318458557129, 0.46781057119369507, -0.8725230693817139, 0.2268351912498474, 1.7267619371414185, -0.08974001556634903, -1.3298218250274658, -0.8901125192642212, 0.5862882733345032, -1.7081446647644043, -0.6491171717643738, 0.25738123059272766, 0.2023937702178955, -0.6044932007789612, 0.4988093674182892, -0.15665927529335022, 0.6762934923171997, 0.7388727068901062, -0.04300959035754204, 0.4842877686023712, -0.37159910798072815, 0.9365758895874023, -0.2297050654888153, 0.8879064321517944, 0.46535223722457886, 0.5923125743865967, 0.4556942284107208, -0.4355853199958801, -0.37878483533859253, 0.26026448607444763, -0.16927729547023773, -0.1898314505815506, -0.2646745443344116, -0.6560037136077881, -0.10208398848772049, -0.6246270537376404, -0.6570610404014587, 0.6240391135215759, 0.7705479860305786, 0.6036437153816223, -0.5360422134399414, -0.6367859244346619, -0.22991953790187836, 0.4861622750759125, -0.17378033697605133, -1.509520173072815, -0.09559449553489685, -1.9008324146270752, -1.0121926069259644, -0.08044957369565964, -0.010651604272425175, 0.6996269226074219, -0.3876265585422516, -1.14601731300354, 0.23978349566459656, -0.1826161891222, -0.05068477243185043, -0.2946241796016693, 0.1035519614815712, -0.1955118030309677, 0.7684963345527649, 0.036560770124197006, 0.22922468185424805, -0.240028515458107, 0.4918666183948517, -0.21749389171600342, -0.24491655826568604, 0.3583805561065674, -0.7155695557594299, 0.8547794818878174, 0.15825559198856354, 0.5284993648529053, -0.11941032856702805, -0.7488812804222107, -0.8182339668273926, 0.3550357222557068, 0.4163501262664795, 0.7937551736831665, -0.2937283515930176, -0.05180419981479645, -0.04484039545059204, 0.9695942401885986, 0.05162810906767845, 0.3006731867790222, -0.306759774684906, -1.366843342781067, -1.2697571516036987, 0.22879499197006226, -0.8278395533561707, -0.8493945598602295, -0.20566751062870026, -0.18029776215553284, -0.050720084458589554, -0.720612645149231, -0.45063096284866333, 0.4661983847618103, -0.5359986424446106, -0.11240486055612564, -1.557621955871582, -0.521446704864502, -0.2667714059352875, -0.3295169770717621, -1.0987401008605957, 0.696945309638977, 0.21525569260120392, -0.8517149686813354, 0.6894634962081909, 0.19863182306289673, -1.0066375732421875, 0.6117547750473022, -1.579197645187378, 0.3550373911857605, -1.2325495481491089, -1.8218060731887817, 0.6243988871574402, -0.5911723375320435, -0.006799366325139999, -1.1078035831451416, 0.3744542598724365, -0.985551118850708, -0.5053244829177856, -0.44046202301979065, -0.2551388442516327, -0.29680371284484863, 0.4949817359447479, -1.9924390316009521, 0.636993944644928, -0.7265596389770508, -1.4013679027557373, 0.5078477263450623, -0.2883370518684387, -0.14302119612693787, 0.09041554480791092, -1.1514688730239868, -0.818751335144043, 0.1488964557647705, 2.058274269104004, 0.5415557026863098, 1.7860934734344482, 0.8697419762611389, -0.35673677921295166, 0.7282648086547852, -0.3321020305156708, -0.8287667036056519, -0.3022095561027527, 0.35824280977249146, 0.3495417833328247, 0.7067880630493164, -0.5284985303878784, -1.3374875783920288, 1.6343038082122803, 0.3758240342140198, 0.5818104147911072, 0.37820690870285034, 0.6388536691665649, -1.9834256172180176, -0.08777819573879242, -0.8099902272224426, 0.2065291851758957, -0.2265165001153946, -0.10253617912530899, -0.2964029014110565, -0.20344582200050354, -0.5534765124320984, -1.3113845586776733, -0.06386034935712814, 0.9709057807922363, -0.386093407869339, -0.2864546775817871, -0.7806243300437927, -0.7886688113212585, -0.09047455340623856, -0.6565829515457153, 0.18460005521774292, 0.2670438289642334, 0.6036971807479858, 1.6311501264572144, 0.5420565605163574, -0.187991663813591, -0.27747681736946106, -0.04309888184070587, 0.26439332962036133, -0.4090335965156555, -0.3034915030002594, 0.32282963395118713, 0.3129907548427582, 0.0778346136212349, 0.6823049783706665, 1.152858853340149, 0.08099450916051865, 1.123504638671875, 0.33520200848579407, 0.8451182246208191, -0.058901332318782806, -1.3209489583969116, 0.306836873292923, 1.0209461450576782, 0.0005637692520394921, 0.15839336812496185, -0.44597914814949036, -0.29339736700057983, 0.3544710874557495, -0.03203336521983147, -1.022169589996338, 0.13876917958259583, -1.0402758121490479, -1.019626259803772, 1.0668706893920898, 1.4782160520553589, -0.0021174950525164604, -0.31193575263023376, -0.11899089813232422, 0.7436832189559937, -0.4308563470840454, 0.03387630358338356, 0.6560849547386169, -0.18127743899822235, -0.5901463627815247, -0.5484327673912048, 0.08788064122200012, -0.11176451295614243, -1.0950567722320557, 0.213740736246109, -0.18917906284332275, 0.15882861614227295, -0.44756588339805603, 0.46090012788772583, 0.4454982578754425, -0.711250364780426, -0.6056482195854187, 0.6931248307228088, -0.5834446549415588, -0.07876298576593399, 0.48592469096183777, -0.007104809395968914, -0.6534634828567505, -0.06163344532251358, -0.5846318602561951, 0.711711049079895, 0.6562991738319397, 0.8417558073997498, 0.14530397951602936, 0.2343311607837677, -0.9190431833267212, 0.0284249410033226, -0.8954411745071411, -0.15453341603279114, 0.08528144657611847, 0.5320231318473816, -0.5073607563972473, 0.992402970790863, -0.7477267980575562, -0.7396206259727478, 0.297841876745224, 0.9279844164848328, 0.8253079652786255, 0.27193284034729004, -0.18345600366592407, 0.42770394682884216, -1.0981435775756836, -1.8581167459487915, 1.3130797147750854, 1.0474637746810913, -0.38392722606658936, -0.5670689344406128, 0.6635801792144775, 0.7650424838066101, 0.1106763482093811, 0.5612409710884094, 0.16284683346748352, 0.4510030746459961, -0.1576000601053238, 0.003325127298012376, -0.21762292087078094, 1.137424349784851, 0.34334322810173035, -0.115174800157547, -0.23498274385929108, 1.6752591133117676, -0.16864798963069916, -0.2948618531227112, 0.34464165568351746, 0.21808002889156342, -0.650337815284729, 1.180506706237793, -0.636056661605835, 0.7847791910171509, 0.5084748268127441, -0.4696515202522278, -0.2859632968902588, 1.217039942741394, -0.1774735450744629, 1.3133717775344849, -0.13065214455127716, 0.5853841304779053, 0.3828238844871521, 0.9250930547714233, 2.31672739982605, 0.11998409777879715, -0.8697460889816284, -1.0202313661575317, -0.11930087953805923, 0.8488048911094666, -0.425232470035553, -0.6367230415344238, -0.6388124227523804, -0.9173886775970459, 0.5258870720863342, 1.040494680404663, 0.7802775502204895, 0.21548250317573547, 0.8350459933280945, -0.4801029562950134, -0.256822794675827, 0.046652231365442276, 0.08716046810150146, 0.15086568892002106, -0.11406657099723816, -2.1076812744140625, 1.0978014469146729, -0.31702369451522827, 0.12336121499538422, 0.8953685164451599, -0.1867855340242386, 0.4141503870487213, -0.005248500499874353, 0.5936965346336365, 0.8865975141525269, -0.28714364767074585, 0.14862041175365448, -1.5246460437774658, 1.4595189094543457, -0.14538566768169403, 0.7586256861686707, -0.335363507270813, 1.1863434314727783, 1.091668725013733, -1.8390401601791382, -0.01780330017209053, -0.23719295859336853, -0.19075064361095428, -0.7147743701934814, 0.16677694022655487, 0.648747444152832, 0.6521120667457581, 0.7493055462837219, -0.2008676528930664, -0.7824673056602478, -0.17939269542694092, 0.10369288176298141, 1.408565640449524, 0.40005844831466675, 0.20407818257808685, -0.5357108116149902, 0.21549732983112335, 0.04752074182033539, -0.3001902997493744, 0.647259533405304, -1.5254101753234863, -0.4528096616268158, -0.46686291694641113, 0.20961721241474152, -0.09276477992534637, -0.7159141302108765, 1.2446439266204834, -0.08095119148492813, -0.0002809244324453175, 0.1342577189207077, -0.5289350748062134, 0.7156240344047546, -0.7827406525611877, -1.7359851598739624, -2.46822452545166, 1.3620401620864868, -0.1352807730436325, -1.2568750381469727, -0.2251206338405609, 0.14219391345977783, -0.05280333757400513, 0.3865162432193756, 0.1925998330116272, 0.6475669741630554, -0.5312438607215881, -0.7079027891159058, 1.7443554401397705, -0.3275711238384247, -0.22541441023349762, 0.7553772330284119, -0.17331717908382416, -1.6565302610397339, 0.1910083293914795, 1.31783127784729, 0.0470842607319355, -0.37105339765548706, -0.5400401949882507, -0.1260981410741806, -0.04794386774301529, -0.5648766756057739, -0.7921890020370483, -0.27127817273139954, -0.40206918120384216, 0.5378085970878601, 0.15191341936588287, -0.3054930865764618, 1.600572109222412, 0.7582517862319946, -0.09086480736732483, 0.12337905913591385, 0.13937820494174957, -0.6409643292427063, -0.3774280846118927, -5.135814189910889, -0.2789468467235565, 0.029132364317774773, 0.25126129388809204, 0.36832475662231445, -1.4366674423217773, -0.8161702752113342, -0.42313647270202637, 0.943432629108429, 1.2878717184066772, -0.6799754500389099, -0.11102870851755142, 0.5044246912002563, 0.6775102615356445, 0.37411823868751526, -0.6187790632247925, -1.3581463098526, 0.10123655200004578, 0.27387696504592896, 0.5482780933380127, -0.7393133044242859, -0.6600608825683594, -0.9201653599739075, -0.544573962688446, 0.39049625396728516, 0.5696857571601868, 0.07603031396865845, -1.0492150783538818, -0.16728505492210388, 0.8263342380523682, -1.0915364027023315, 1.406072735786438, -1.3398245573043823, 1.1653380393981934, -1.1718238592147827, 0.1266518235206604, -0.45417824387550354, -0.7622710466384888, 0.044207002967596054, -1.706545114517212, 0.44043850898742676, 0.18179374933242798, -0.5643791556358337, -1.9346140623092651, -0.5083602666854858, 0.4618307054042816, 0.6222614049911499, 0.9075639247894287, -0.6872225403785706, 0.31356215476989746, 0.31554675102233887, -1.6158573627471924, -0.6494638919830322, -0.061265528202056885, -0.762416422367096, 0.872462272644043, -0.9884582757949829, 0.016849592328071594, -1.1095497608184814, -0.17065903544425964, -0.7419183254241943, -0.6883750557899475, 1.7376960515975952, -0.3560912311077118, -0.5587031841278076, -0.5793552398681641, -0.4883020520210266, 0.028731733560562134, -0.19410637021064758, -1.0088919401168823, -0.1264360249042511, 0.14093464612960815, 0.39368075132369995, 0.5226485133171082, -1.3116066455841064, -0.08472515642642975, -0.42481112480163574, 1.5093302726745605, 1.876509428024292, -1.4052079916000366, -1.1095153093338013, -0.06257226318120956, -0.4720255732536316, -0.6570817828178406, -0.3567965626716614, -1.551914930343628, 0.16580019891262054, -0.02043769881129265, -0.32620108127593994, -0.2964600622653961, 0.5291194319725037, 0.7587602138519287, -0.5470846891403198, -0.38440313935279846, 0.4818294644355774, -0.08020475506782532, -0.04277569800615311, 0.11048910021781921, -1.691817045211792, -0.8664215803146362, -0.29106566309928894, -0.2225319892168045, 1.4287917613983154, 0.8732098937034607, -0.007951297797262669, -0.5453752279281616, -0.24712540209293365, 0.6859327554702759, 0.7735956907272339, -0.24952557682991028, 0.11510287970304489, 0.5000355243682861, -0.04831936955451965, 0.45987915992736816, -0.4008753299713135, -0.6079620122909546, -0.16741319000720978, 1.2635316848754883, 1.410504937171936, -1.1427348852157593, -1.3804574012756348, 0.7586498856544495, 1.7281852960586548, -0.15306968986988068, -0.44394657015800476, -0.9690448641777039, -1.5410336256027222, -0.4612678289413452, -0.3959757089614868, 1.6946605443954468, 0.06835459917783737, 0.0698738694190979, 0.022059166803956032, 0.07962586730718613, -0.12132519483566284, -0.9496451020240784, -0.39339083433151245, 0.035175055265426636, -0.7430763840675354, -0.6692850589752197, -1.0980710983276367, 0.8857808709144592, 1.1636115312576294, 0.16038796305656433, 0.010101318359375, 0.10602383315563202, -0.4130368232727051, -1.194811224937439, 1.1353662014007568, 0.5917631387710571, -0.340561181306839, 1.4296258687973022, 0.6817449927330017, -0.2640210688114166, -0.4628618061542511, -0.2833521068096161, 0.3871020972728729, -0.5856702327728271, -0.38070157170295715, 0.8112497329711914, 1.4979251623153687, -0.4178948998451233, 0.04725131019949913, 0.574731171131134, -0.3956509828567505, 0.7546568512916565, -0.16484354436397552, -0.6168197989463806, -0.15199878811836243, -0.2863045930862427, 0.1046011671423912, -0.883341372013092, -2.0131142139434814, -0.0999065488576889, 0.565446138381958, 0.9255385994911194, -0.4513145983219147, 0.13142545521259308, -0.08699478954076767, 0.4085240662097931, 1.027142882347107, 0.059802182018756866, 0.09890453517436981, -0.7825074791908264, -0.2726505994796753, 0.23665566742420197, 0.23374338448047638, -0.23205694556236267, -0.6658980250358582, 0.9108776450157166, -1.0636954307556152, 0.5073174238204956, -0.5393547415733337, 0.7492498755455017, 0.4321655035018921, -0.18063299357891083, -0.09548443555831909, 2.4283437728881836, -0.6992456316947937, 0.7804596424102783, 0.5660413503646851, 1.2216287851333618, -0.3197162449359894, -0.7212069630622864, -0.6012185215950012, -1.2790367603302002, -0.13636116683483124, 0.8025094866752625, -0.07216016948223114, -1.203356385231018, -0.8112174272537231, -0.47928479313850403 ]
1,078
0704.1080
Phongpichit Channuie
Phongpichit Channuie
The solutions of the N-identical quantum harmonic oscillators interacting with each other through the harmonic potential
This paper has been withdrawn
null
null
null
quant-ph
null
This paper has been withdrawn by the author due to some mistakes
[ { "created": "Mon, 9 Apr 2007 09:45:44 GMT", "version": "v1" }, { "created": "Tue, 17 Apr 2007 01:43:39 GMT", "version": "v2" }, { "created": "Mon, 14 Feb 2011 23:37:01 GMT", "version": "v3" } ]
2011-02-16
[ [ "Channuie", "Phongpichit", "" ] ]
07
[ 0.5273678302764893, 0.7047969698905945, 1.1894874572753906, -0.5510273575782776, -0.4411661624908447, -1.1844768524169922, -0.26545265316963196, 0.6993088722229004, -0.39501863718032837, -0.5094929933547974, -0.12137145549058914, -0.10252253711223602, 0.6456591486930847, 0.6388117671012878, -0.5351317524909973, 0.6875554323196411, -1.1326955556869507, -0.8162779808044434, -0.35860303044319153, -0.6773768067359924, 0.2495405524969101, -0.6996520757675171, 0.21240925788879395, -0.3319346010684967, 0.02046026475727558, -0.22935548424720764, -0.7493489980697632, 1.7293941974639893, -0.6492716073989868, -0.1638840138912201, 0.3753115236759186, 0.24798330664634705, -0.3979896008968353, 0.4270682632923126, 0.2768297493457794, -0.5228900909423828, 0.6508157849311829, -0.42712217569351196, -1.2168996334075928, -0.9596177935600281, -0.3454185128211975, 0.6457217931747437, 0.07387448847293854, 0.02771955169737339, -0.10801728814840317, -0.34204980731010437, 0.5884731411933899, -0.3680504560470581, 0.43958109617233276, 0.26949170231819153, 0.16946116089820862, 1.1629079580307007, 0.3995867669582367, 0.5343056321144104, -0.4962408244609833, 0.06671739369630814, -1.201554536819458, -0.3952502906322479, -0.6956576108932495, -0.927095353603363, 0.17294558882713318, 0.7070794701576233, 0.024097464978694916, -0.31954967975616455, 0.18221355974674225, 0.047281909734010696, -0.2886212170124054, 0.5932620167732239, 0.334269642829895, 0.9485137462615967, 0.5069385766983032, -0.4802252948284149, -0.8090119957923889, -0.27519941329956055, 0.21041060984134674, 1.0278817415237427, -0.4038256108760834, -0.35442864894866943, 1.4190824031829834, -0.009090525098145008, 0.35390061140060425, -0.19241248071193695, -0.6344801187515259, 0.6778121590614319, -0.8439568281173706, -0.3406175673007965, -0.19490039348602295, -0.2639651298522949, -0.48172318935394287, 0.3460501730442047, -0.08970001339912415, 0.2771349251270294, -0.3555985987186432, 0.004764326382428408, 0.7359256744384766, 0.17510606348514557, 0.2823708951473236, 0.1380944401025772, 0.45557016134262085, 0.7896681427955627, -0.02812502719461918, 0.3533517122268677, 0.8239679336547852, 1.4140148162841797, 0.2394483983516693, 0.134579598903656, 0.021597212180495262, -0.03616998717188835, -0.3293039798736572, -0.012048201635479927, -0.055356502532958984, -0.23781582713127136, -0.14797882735729218, -0.5362616777420044, -0.8955366611480713, 1.1992051601409912, 0.3186211884021759, 0.16322274506092072, -0.30138567090034485, -0.19087116420269012, 0.29682213068008423, 0.007560893427580595, 0.3991943895816803, 0.10323793441057205, 0.9333001971244812, -0.5801369547843933, 0.18609510362148285, 0.00686062965542078, 0.7219331860542297, -0.4132910668849945, -0.21722431480884552, -0.26651531457901, 0.144100621342659, 0.3121832609176636, -0.31658342480659485, 0.9895680546760559, -0.8083146810531616, -0.42825397849082947, -0.9001296758651733, -0.36563462018966675, 0.34455955028533936, 0.0448908694088459, -0.10282222181558609, 0.29742881655693054, 0.2874472141265869, -0.14578543603420258, -0.07347837835550308, 0.05460401251912117, -0.8687083721160889, -0.3340744376182556, -0.23528830707073212, -1.0284279584884644, 1.1556355953216553, 0.7408725619316101, -0.7966128587722778, -0.3943230211734772, 1.0979814529418945, 0.4994674026966095, -0.478635311126709, 1.1277235746383667, -0.14068639278411865, 0.4409168064594269, -0.5504627823829651, 0.21233010292053223, -0.15809683501720428, -0.54297935962677, -0.757853090763092, -0.5318548679351807, -0.23069119453430176, -0.2091466784477234, -0.5802004337310791, -0.5385332107543945, 0.17401951551437378, -0.005890620872378349, 0.21792389452457428, 0.9543449282646179, 0.24771322309970856, 0.259872704744339, -0.0016802995232865214, -0.18801458179950714, -0.6990022659301758, -0.759026288986206, -0.37575793266296387, -0.5877370238304138, -0.20851625502109528, -0.572780191898346, -0.46439671516418457, -1.255171537399292, -0.3480875492095947, -0.2707233428955078, -0.4259115159511566, -0.006853094790130854, -1.0497093200683594, 0.3615866005420685, -0.21370331943035126, 0.8087450861930847, -0.5416483283042908, -0.13436871767044067, -0.13598622381687164, 0.1609216332435608, 0.7764613628387451, -0.4009133577346802, 0.3370208442211151, 0.5985618233680725, -1.182453989982605, 0.6546936631202698, 0.01925012841820717, 0.252088338136673, -0.46032190322875977, -0.6353083848953247, -0.12647053599357605, 0.7439630031585693, 0.3291778266429901, -0.20476017892360687, 0.5351672768592834, -0.16467435657978058, 0.3485475182533264, -1.1533421277999878, -0.06068388745188713, 1.2487351894378662, -0.20093734562397003, 0.11191688477993011, 0.1978457272052765, 0.2415410727262497, -0.07378344982862473, -0.6540490984916687, 0.8824859857559204, -0.3714483976364136, -0.5798710584640503, -0.6050618886947632, -0.20055025815963745, -0.17660820484161377, 0.17100083827972412, -0.23122194409370422, -0.3554180860519409, -0.33300814032554626, -0.13924436271190643, 0.28560641407966614, -0.4624824821949005, -0.5615488886833191, -0.5237807631492615, -0.4369329810142517, -0.6944553852081299, 1.2923729419708252, -0.6303601861000061, -0.21224290132522583, -0.30573394894599915, 0.5110659599304199, -0.6170035004615784, -0.3851374685764313, 0.2037724405527115, -0.0878918394446373, 0.6735198497772217, -0.6525490283966064, -0.10976185649633408, -0.6110357642173767, 0.37151390314102173, -0.3626629114151001, -0.3531474173069, -0.43875008821487427, -0.43450549244880676, -0.6465321779251099, -0.5218443274497986, 0.2891666889190674, -1.1264419555664062, 0.6922809481620789, 1.115275263786316, -0.161548912525177, 1.2687114477157593, -0.5220612287521362, 0.39624321460723877, -0.2352427840232849, -0.6067072153091431, -0.3296065032482147, 0.5778973698616028, 0.44980835914611816, -0.47762253880500793, 0.19813266396522522, -0.18388697504997253, -0.8486595749855042, 0.5266106724739075, 1.1966899633407593, 0.4047572910785675, 0.8357784152030945, 0.8247364163398743, -0.3819805085659027, -0.2362494319677353, 0.9093286395072937, 0.5606032609939575, 0.06566542387008667, 1.0579960346221924, 0.8780108094215393, -0.38142433762550354, -0.395240843296051, -0.5356857776641846, -0.7251381278038025, -0.4311522841453552, -0.9856150150299072, -0.017136475071310997, 0.07365214824676514, 0.5659955739974976, 0.7500470876693726, -0.5279709696769714, 0.8332394957542419, 0.39443308115005493, -0.3567475974559784, -0.4189530909061432, 0.26306554675102234, 0.33390894532203674, 0.10054268687963486, 0.2053716778755188, -0.8879776000976562, -0.0887807086110115, 0.5493343472480774, 0.5063169598579407, 0.010786036029458046, 0.7771728038787842, -0.9325481653213501, -0.7817471623420715, -1.6160532236099243, 0.11967954784631729, -0.9865726828575134, -0.35268890857696533, -0.23961259424686432, 0.2553323805332184, -1.438010334968567, -0.21736997365951538, -0.30171191692352295, 0.3893240690231323, -0.41638603806495667, -0.2747493386268616, 0.2967427670955658, -0.058561068028211594, 0.5308326482772827, -0.04870213568210602, 0.5289227366447449, 0.3697948753833771, -0.09177019447088242, -0.13857688009738922, -1.3556243181228638, -0.31622907519340515, 1.1941933631896973, 0.4880310893058777, 0.5722517371177673, -0.2178354263305664, 0.282859206199646, -0.17474350333213806, -0.041384678333997726, -1.117862343788147, 0.04540044069290161, -0.7118794918060303, 0.2581324875354767, 0.22439682483673096, 0.37701651453971863, -0.3741045594215393, -0.1423271894454956, 0.8700178861618042, 0.6731162667274475, 1.1765904426574707, 0.2378895878791809, -0.07430029660463333, -0.1644633710384369, 0.31663113832473755, 0.4265323281288147, 0.8136631846427917, -0.05856622755527496, 0.35157427191734314, -0.1366138458251953, -0.9363143444061279, 0.3220237195491791, -0.0504302904009819, 0.503227949142456, -0.3291177749633789, -0.49569520354270935, -0.19887787103652954, 0.22843611240386963, -0.9707246422767639, 0.31248435378074646, -0.06882616877555847, -0.24894610047340393, 0.7623656392097473, 0.8136558532714844, 0.2696812152862549, 0.5859847068786621, 0.9223766922950745, 0.2503539025783539, -0.8830839991569519, 0.3368833363056183, -0.1314627230167389, 0.4162899851799011, -0.03248734399676323, 0.1706545203924179, 0.444348007440567, -0.5653122067451477, -0.20325295627117157, 0.7091365456581116, 0.30736613273620605, 0.5884944796562195, -0.26763689517974854, 1.0125269889831543, -0.8275088667869568, 0.6110984683036804, -0.10713310539722443, -1.0440897941589355, 0.24856624007225037, 0.368039071559906, 0.2348203957080841, 0.1918959617614746, 0.49216166138648987, -0.08652518689632416, -0.5437710881233215, -0.11638280004262924, 0.17977026104927063, 0.01720702275633812, -0.08534295856952667, -0.5616419315338135, 0.5350332260131836, -0.008407740853726864, 0.2339586317539215, 1.160027027130127, 0.6891199946403503, -0.22324219346046448, 0.08826297521591187, 0.7973933815956116, 0.23618485033512115, -0.43121856451034546, -0.6405237913131714, -0.0006760369287803769, -0.4900527596473694, -0.2919440269470215, -0.3832933008670807, -0.11003038287162781, -0.22051462531089783, 0.049422699958086014, 0.16093790531158447, -0.3857951760292053, 0.40308621525764465, -0.0765552818775177, 0.04387743026018143, -0.15743869543075562, 0.24255140125751495, 1.2405198812484741, -0.0031842654570937157, -0.6781132817268372, -0.2584415376186371, -0.25636738538742065, -0.44260668754577637, 0.8738161325454712, -0.5453910231590271, 0.16595950722694397, 0.011612249538302422, -0.3478098213672638, 0.23431649804115295, 0.4451034963130951, -0.1908905804157257, -0.8459890484809875, -0.7134621143341064, -0.5640820860862732, -0.33943045139312744, -0.002381647238507867, -0.9563931226730347, -0.21196721494197845, 0.5249631404876709, -1.102829098701477, 1.211214303970337, -0.8164646029472351, 0.5330908894538879, 0.26449307799339294, -0.8131915926933289, 1.0762654542922974, -0.21208994090557098, -0.6148877143859863, 0.23682691156864166, -0.6394593715667725, -0.2934669852256775, 0.07291129976511002, 1.1530346870422363, 1.0342150926589966, 0.1223982572555542, 1.3210185766220093, 0.16177445650100708, 0.2182062566280365, 0.5227168202400208, 0.22670097649097443, -0.01016856636852026, 0.448655366897583, -0.4381006062030792, -0.025225063785910606, -0.7168468832969666, 0.1438509225845337, -0.4214809536933899, -0.04930974915623665, -0.49708592891693115, 0.3011046051979065, -0.4640154540538788, 0.8980462551116943, -0.058135561645030975, -0.17366985976696014, 1.0249208211898804, 0.15668568015098572, -0.2973072826862335, -0.5867052674293518, -0.20313586294651031, -0.4338097870349884, -0.5597760081291199, -0.4244586229324341, -0.06455498933792114, -0.08918869495391846, -0.0850299671292305, 0.8344449400901794, 0.0248507522046566, -0.7014516592025757, -0.5796747207641602, -0.63418048620224, 0.8283846974372864, -0.9975629448890686, -1.540121078491211, -4.334878444671631, -0.14808660745620728, 0.5301982760429382, 0.14008362591266632, 0.18409673869609833, -0.6699126958847046, -0.06963682919740677, 0.3079524040222168, -0.1961665004491806, -0.015426939353346825, 0.02293265238404274, -0.011524392291903496, 0.7359921932220459, -0.28546658158302307, -0.3297063410282135, -0.051152005791664124, -0.08701488375663757, 0.14071226119995117, 0.46068909764289856, 0.018522441387176514, 0.9387507438659668, -1.6240509748458862, -0.4666537940502167, -0.6332581639289856, -0.16254235804080963, 0.10537856817245483, -0.795026421546936, 0.9247331619262695, -0.09575042128562927, -0.5618138909339905, -0.4060746431350708, -0.8154629468917847, -0.7052583694458008, -0.10999919474124908, -0.22826537489891052, 0.08121072500944138, -0.007475241553038359, 0.7974244952201843, 0.287724107503891, -12.869117736816406, 0.03902272880077362, 0.1285935938358307, 0.08590099960565567, -0.021293140947818756, -0.5801660418510437, -0.18331947922706604, -0.6100389957427979, 0.09367047250270844, 0.19176258146762848, -0.3424225449562073, -0.27070870995521545, -0.16243571043014526, -0.06839362531900406, -0.08202812820672989, -0.11504983901977539, -0.026304692029953003, 0.4829408526420593, -0.14615000784397125, -0.30024945735931396, -0.6673708558082581, -0.09525938332080841, 0.2708498537540436, -0.1256682574748993, 0.15069325268268585, -0.27508455514907837, 0.34210649132728577, -0.0670258030295372, -0.09243921935558319, 0.2007521092891693, -0.6184491515159607, 0.3948874771595001, -0.4048011600971222, -0.22022031247615814, 0.7493711113929749, -0.38054201006889343, 1.084204077720642, 1.1356968879699707, -0.8631805777549744, -0.5681700110435486, 0.45822542905807495, 0.39037397503852844, 0.3837570250034332, -0.6455250978469849, 0.10171279311180115, -0.022968461737036705, -0.20727284252643585, -0.7642699480056763, 1.0106710195541382, -0.9903497695922852, -0.2759082019329071, 0.7947058081626892, 0.4867524802684784, 0.14740435779094696, 0.49484774470329285, 0.02086937054991722, -0.22661884129047394, 0.3023415803909302, 1.0137481689453125, -0.13432462513446808, -0.013228398747742176, -0.5895569920539856, -1.0163615942001343, -0.29117655754089355, -1.370939016342163, -0.40972787141799927, -0.9468689560890198, -0.2054198682308197, -0.43396779894828796, -0.309114009141922, -0.2561613917350769, -0.17089733481407166, -0.7371479868888855, 1.1010323762893677, 0.21988730132579803, -0.20696651935577393, -0.11314380168914795, 0.5512259006500244, -0.5424920320510864, 1.3063312768936157, -0.014346303418278694, 0.1621827781200409, -0.7245843410491943, 0.7590371966362, -0.20338670909404755, -0.44888436794281006, 0.0198302511125803, 0.5697869658470154, 0.08431970328092575, -0.3799610137939453, 0.02688755840063095, 0.5964269042015076, 0.15594913065433502, 0.002411971567198634, 0.4048110842704773, -0.18788833916187286, 0.24359482526779175, -0.7251323461532593, -0.004245894029736519, -0.13309095799922943, -0.849945068359375, 0.564483106136322, 0.47985637187957764, -0.08791783452033997, 0.38759443163871765, 0.21027438342571259, -0.5645133256912231, 0.2324945330619812, -0.22446878254413605, 0.32890504598617554, 0.014567660167813301, 0.41626712679862976, -0.11329102516174316, -0.3019935190677643, -0.3749788701534271, 0.5763436555862427, 0.5586351156234741, 0.3290046453475952, -0.31877297163009644, -0.27834582328796387, -1.0096975564956665, -0.2580798268318176, -1.063280701637268, -0.04481784254312515, 1.197084665298462, -0.3837061822414398, 0.2593235671520233, -0.7717273831367493, 0.535836935043335, -0.029660824686288834, 0.019237549975514412, -1.0645825862884521, 0.31905609369277954, 0.2765437662601471, 0.22944600880146027, -0.7548607587814331, 0.26223835349082947, -0.7922385931015015, 0.267826110124588, -0.2988741993904114, 0.2726665437221527, 0.6810184717178345, -0.35549405217170715, 0.5451648235321045, 0.469946026802063, 0.0061094434931874275, -0.6840871572494507, -0.007724688854068518, -0.3738153576850891, -0.4894821345806122, -0.9377855658531189, -0.11639789491891861, 0.5049528479576111, 0.5197706818580627, -0.21733979880809784, -0.3731430768966675, 0.26883992552757263, -0.20909416675567627, -0.19669927656650543, 0.3725227117538452, 1.008310079574585, -0.6623638272285461, 0.04469296708703041, 0.4183664619922638, 0.057050131261348724, -1.0650147199630737, 0.009212237782776356, -0.25889167189598083, -0.13400550186634064, 0.5928954482078552, 0.34730324149131775, 0.030525630339980125, 0.2730787992477417, 0.23292189836502075, -0.4110151529312134, -0.031926508992910385, -0.6922543048858643, -0.50531005859375, -0.579909086227417, -1.8111381530761719, 0.14966128766536713, 0.40008270740509033, 0.6755411624908447, 0.4045567214488983, -0.5245033502578735, 1.7878025770187378, 0.24304910004138947, 0.3098430335521698, 0.4697188436985016, -0.8373933434486389, -0.4283919036388397, 0.22131840884685516, 0.22648005187511444, -0.33556902408599854, -1.106510877609253, 0.2270531803369522, -0.07672342658042908, 0.43124231696128845, 0.49461832642555237, -0.03354091942310333, 1.2798693180084229, 1.1612826585769653, -0.22614671289920807, 0.22196435928344727, 0.31169426441192627, -0.3816544711589813, -0.9513657093048096, -0.3664407432079315, -0.3453570008277893, -0.5004828572273254, -0.4718310832977295, -0.15675625205039978 ]
1,079
0704.1081
Dremin
I.M. Dremin, V.A. Nechitailo
Asymmetry of in-medium rho-mesons as a signature of Cherenkov effects
8 pages, 1 Fig
null
null
null
hep-ph nucl-th
null
Cherenkov gluons may be responsible for the asymmetry of dilepton mass spectra near rho-meson observed in experiment. They can be produced only in the low-mass wing of the resonance. Therefore the dilepton mass spectra are flattened there and their peak is slightly shifted to lower masses compared with the in-vacuum rho-meson mass. This feature must be common for all resonances.
[ { "created": "Mon, 9 Apr 2007 08:43:15 GMT", "version": "v1" }, { "created": "Thu, 12 Apr 2007 12:28:57 GMT", "version": "v2" } ]
2007-05-23
[ [ "Dremin", "I. M.", "" ], [ "Nechitailo", "V. A.", "" ] ]
07
[ -0.27136239409446716, -0.22676701843738556, 1.0475519895553589, -0.40372365713119507, 0.08910869061946869, 0.5675891041755676, 0.9465497136116028, -0.8551447987556458, -0.5393417477607727, -1.0169836282730103, 0.8673754930496216, 0.8723917007446289, 0.0819757953286171, -0.36622852087020874, 0.1571003496646881, 0.38898739218711853, -0.06396134942770004, -1.0603750944137573, -0.004681695718318224, -1.1246337890625, 0.853184163570404, -0.07723361253738403, -1.1961402893066406, 0.3493180274963379, -0.1482464224100113, 0.36449944972991943, -1.3424949645996094, 1.1663265228271484, -0.7086876630783081, -0.5573887228965759, -0.7428731322288513, 0.5636571645736694, -0.6914917826652527, -0.10501663386821747, 0.6225083470344543, -0.3120667338371277, -0.3222915828227997, -1.044955849647522, -1.035028338432312, -0.10075695067644119, -0.46625104546546936, 0.3090444505214691, -0.6278989315032959, 0.031730689108371735, 0.5209885835647583, 0.08996953070163727, -0.658586859703064, -0.8142023682594299, 0.4035228192806244, 1.024465799331665, -0.10374701768159866, 1.9553128480911255, 0.9354020357131958, 0.8835973739624023, -0.20168764889240265, 0.5642634630203247, -0.22986601293087006, 0.4828016459941864, 0.222755566239357, -0.6334719657897949, -1.3238129615783691, -0.32179737091064453, 0.24183118343353271, -1.4662816524505615, 0.7341181039810181, -0.415391743183136, 0.7564194202423096, -0.22161489725112915, 0.34253156185150146, 0.7228571772575378, -0.051495522260665894, -0.13371901214122772, 0.4200814664363861, -0.4069685935974121, -1.42707359790802, -0.6930471658706665, -0.8380774259567261, -0.7943158149719238, 1.2668859958648682, 0.7001480460166931, -0.2734130620956421, 0.6410311460494995, -0.4824749231338501, -1.4605116844177246, 0.08119550347328186, 0.31834232807159424, 0.10497793555259705, -1.2887481451034546, 0.004686928354203701, 0.7749537229537964, 0.6163055300712585, -0.16203263401985168, 0.3751780092716217, -0.09621676802635193, -0.20305520296096802, -0.6614006161689758, -1.211666226387024, 0.6045401692390442, -0.4776953458786011, -0.16272567212581635, -0.6538479328155518, -0.46295586228370667, 0.21474196016788483, 0.480002224445343, -0.22819438576698303, -0.2352783977985382, -0.5865797996520996, 0.0300627239048481, 0.03954967483878136, 0.3762417137622833, 0.8537489771842957, -0.7547103762626648, -0.2407861202955246, -0.9053990840911865, -0.521059513092041, 0.47871553897857666, -0.3538786768913269, 0.5927221179008484, 1.1002843379974365, 0.2603243887424469, -0.4602838456630707, 0.3467233180999756, -0.2553001046180725, 0.6643263101577759, 0.45508718490600586, -0.14351412653923035, 0.8336005210876465, -0.6952540278434753, -0.756861686706543, -1.3443212509155273, -1.0970114469528198, -0.026425572112202644, -0.9492865800857544, 0.9555583596229553, -0.5343045592308044, -0.21096886694431305, -0.7220261096954346, 0.9559617042541504, 1.316853642463684, -0.1813497096300125, -0.3693431615829468, -0.12986677885055542, -1.2898738384246826, 0.7239710688591003, -0.19474822282791138, -0.8579493761062622, 0.037729017436504364, -0.15728707611560822, 0.8440060615539551, 0.17948584258556366, 0.7581642866134644, -1.596731424331665, 0.08066104352474213, -1.0235508680343628, -1.629591941833496, -0.4487764537334442, -0.16383276879787445, 1.3190901279449463, 0.08595278859138489, 0.384524405002594, -0.3902668058872223, -0.2667434811592102, 1.603096842765808, 0.6014454364776611, 0.019730133935809135, -1.0871840715408325, 0.6086554527282715, 1.5144973993301392, -0.708665668964386, 0.4256042540073395, 0.2651495039463043, -0.281152606010437, -0.12835386395454407, -0.023761887103319168, -0.29943448305130005, 1.0450481176376343, -0.4872739911079407, -0.4629251956939697, -0.23785467445850372, 2.2679524421691895, -0.2546229660511017, -1.017919659614563, -1.6504358053207397, -0.6245128512382507, 0.2669939398765564, -0.7701669931411743, 1.0461859703063965, -1.109101414680481, 0.6125184297561646, 0.09742762893438339, -1.0217068195343018, -0.03688322752714157, -0.6995586156845093, 0.3057909607887268, -0.47721073031425476, 0.42030569911003113, 0.6811833381652832, 0.1416320949792862, 0.06551303714513779, 0.5626096129417419, -0.5435152053833008, 0.14948561787605286, 0.6693390607833862, -0.03401429206132889, -0.665427565574646, 1.1696581840515137, 0.47541719675064087, 0.5897361040115356, -0.21951483190059662, 1.1643263101577759, -0.9865118265151978, 0.34829312562942505, 0.2309981733560562, -0.9615437388420105, 1.0422877073287964, 0.20230615139007568, 0.47275805473327637, -1.9430614709854126, 0.42471808195114136, -0.38945674896240234, 0.2910309433937073, 0.6186378002166748, 0.9187712073326111, 0.995613694190979, -0.12787874042987823, 0.5869782567024231, 0.46722671389579773, 0.5873913764953613, -0.6912742257118225, -0.319696307182312, -0.3087961673736572, -0.3422394096851349, -0.08039531856775284, -0.26912981271743774, 0.4616307020187378, 0.4692322015762329, 0.9897682666778564, 0.2290332019329071, -0.5152314901351929, 0.3326718211174011, 0.7091875076293945, 0.16932529211044312, -0.025875458493828773, -0.6427453756332397, 0.33054497838020325, 0.5566599369049072, 0.8947709798812866, -1.2668153047561646, -0.29182159900665283, -0.1249183639883995, -0.9567008018493652, -0.01375157106667757, 0.7617617845535278, -2.039376735687256, 1.1804026365280151, 0.4393480122089386, 0.9517970085144043, -1.8349955081939697, 0.3687165081501007, 0.3619288206100464, -0.8481283783912659, -0.07224798947572708, -0.9127145409584045, -0.11200366914272308, -0.36717286705970764, 0.06918172538280487, -0.03743114694952965, 0.043380316346883774, -0.38442423939704895, -0.3374003767967224, 0.30713826417922974, 0.9498682618141174, 0.9751763939857483, -0.6247326135635376, 0.16003014147281647, 0.6475870013237, -0.25983500480651855, -0.0334821492433548, -0.5549145936965942, -0.7600156664848328, -0.7602969408035278, -0.2146919220685959, 0.40729597210884094, -0.21725454926490784, -0.4596870541572571, -1.2640888690948486, 0.9797527194023132, 0.23802253603935242, 0.1805247664451599, 0.8230826258659363, 0.3429228961467743, 0.7115035653114319, 0.8708323240280151, -0.4165623188018799, 0.3490830063819885, 0.365832656621933, 1.7033839225769043, 0.4108039140701294, -0.2727246880531311, -0.2793504297733307, 0.3708462417125702, -0.9368754029273987, 0.2010975331068039, -0.1669619083404541, 0.7511470913887024, -0.38542860746383667, 0.8821558952331543, 0.9620900750160217, -0.8613250255584717, -0.9927282333374023, 0.7757106423377991, -0.2391337752342224, -0.3949701488018036, -0.056938134133815765, -0.07513925433158875, 0.7542173862457275, 0.6026554107666016, -1.2311594486236572, -1.2959173917770386, -0.7439639568328857, -0.09557630121707916, 1.0840901136398315, 0.8123469948768616, 1.1410082578659058, 0.02196430042386055, -0.9876078963279724, 0.4039032459259033, -0.682051420211792, 0.08374474197626114, 0.7158393859863281, 0.2896846532821655, -0.1696145236492157, 1.4137693643569946, -0.19140216708183289, 0.033431533724069595, 0.09939903765916824, -0.053906235843896866, 0.6797395944595337, 1.1105071306228638, 0.005912878550589085, -1.0078637599945068, 1.2200278043746948, -0.5035665035247803, 0.7467693090438843, -0.7512874007225037, 0.0882100984454155, -0.2023846060037613, 0.5749773979187012, -0.0934089794754982, 0.6682772636413574, -1.2176491022109985, -0.4273816645145416, 0.6355978846549988, 0.39200830459594727, 0.4093171954154968, -0.3512948155403137, 0.6019737124443054, 0.11462796479463577, -0.17618684470653534, -1.1702377796173096, 0.3779168426990509, 0.020986435934901237, 0.40695416927337646, 0.14905409514904022, 1.0168830156326294, 0.14195294678211212, -1.2902374267578125, -0.21272510290145874, -0.4349099099636078, 0.23060710728168488, -1.6673438549041748, -0.08260428160429001, -0.8993973135948181, 1.0743060111999512, 0.25773054361343384, 0.3548654317855835, -0.7046583890914917, -0.056335996836423874, -0.7729686498641968, -0.5679906606674194, -1.1103503704071045, -0.06906124949455261, 0.626042366027832, -0.3119581937789917, -0.11823232471942902, 0.4116126000881195, 0.03768584877252579, 0.15365628898143768, -0.6938421726226807, 0.8907628655433655, 0.38524723052978516, -0.37457767128944397, 0.4299255609512329, -0.3011878430843353, 0.6197813153266907, -0.35432207584381104, -0.17296649515628815, 0.6330152750015259, -0.7036151885986328, 1.0414832830429077, -0.5531772971153259, -0.2638242542743683, -0.02808717079460621, -1.3476033210754395, -0.11032245308160782, -0.020296771079301834, 0.20075641572475433, 0.4630851447582245, -0.17403525114059448, 0.8881251811981201, -0.26938575506210327, 1.8567218780517578, 0.2388724982738495, 0.13978174328804016, 0.2004583477973938, -0.19622313976287842, -0.30541449785232544, 0.29162007570266724, -0.08974888920783997, 0.308293879032135, 0.3622245788574219, -1.40989089012146, -0.6167083382606506, 1.5928910970687866, -0.7042558193206787, 0.15315133333206177, -0.1272963583469391, -0.141550213098526, 0.18193307518959045, 0.44043293595314026, 0.09533243626356125, 0.93602454662323, -0.008847258053719997, 0.9832003116607666, -0.3798113167285919, 0.030597185716032982, 1.0666284561157227, -0.3990592956542969, 0.42883238196372986, 1.0379196405410767, 1.452597737312317, -0.7329863905906677, -0.14979135990142822, -1.0034010410308838, -0.23379375040531158, -0.40529486536979675, -0.6892522573471069, 0.7296146750450134, -0.5071773529052734, -0.3001553416252136, 0.5820001363754272, -0.5258246660232544, 0.27325519919395447, -0.17207908630371094, 0.20969252288341522, 0.008498373441398144, 0.07628414779901505, -1.547027826309204, -0.08715399354696274, 0.19175179302692413, -0.5518168210983276, 0.8959726095199585, -0.03837629780173302, -1.0556544065475464, 1.3139429092407227, 0.01896657980978489, -0.6806996464729309, -1.527679443359375, -0.804924726486206, 0.14311270415782928, 0.6723490953445435, -0.0017328185494989157, -0.46266964077949524, -0.2862021028995514, -0.3224557936191559, 1.6901649236679077, 1.435592532157898, -0.15546336770057678, 1.0163154602050781, -1.7461962699890137, 0.6997343301773071, 0.9073158502578735, 0.09982835501432419, -0.7048263549804688, -0.2750048339366913, 0.12054496258497238, 0.22219422459602356, -1.0547616481781006, 0.3680497109889984, 1.0397529602050781, 0.35922518372535706, -0.4740546941757202, -0.18879759311676025, 1.3221263885498047, 0.13103117048740387, 1.3298814296722412, -1.1697477102279663, -1.204837679862976, -0.5482394099235535, 0.49106365442276, -0.05448197200894356, 0.7997757792472839, -0.14017100632190704, -0.7822077870368958, -1.3578604459762573, -0.1110105961561203, 1.0087172985076904, 1.5128580331802368, -1.0251625776290894, 0.2968965470790863, 0.6416897773742676, -0.14341185986995697, 1.4864226579666138, 0.14776018261909485, 0.10871785879135132, -0.4980371296405792, -0.8879207968711853, -2.8530995845794678, -0.20572854578495026, -0.5309745073318481, 0.32165825366973877, -0.30230817198753357, -0.2222851812839508, 0.5674659013748169, -0.42112666368484497, -0.06258898973464966, -0.1613651067018509, -1.356059193611145, 0.36491528153419495, -0.431465208530426, 0.18038444221019745, 1.3216633796691895, 2.7964043617248535, -0.8646135330200195, 0.06172632798552513, -0.41178810596466064, 0.8628013730049133, 0.09166713804006577, -0.014590087346732616, -0.23792921006679535, 1.2999069690704346, 0.32977452874183655, -0.8148747682571411, -0.6140910387039185, 0.1291283369064331, -0.5130574703216553, -0.3474336564540863, -0.04213504493236542, 0.22196470201015472, 0.142289936542511, -0.6402503252029419, 0.178971529006958, -0.9661203622817993, 1.0023436546325684, 0.724421501159668, 0.8752747178077698, -8.239778518676758, 0.07860631495714188, -0.5546401739120483, -0.6902355551719666, 0.03100784868001938, -2.0017659664154053, -0.512199878692627, -0.9067285656929016, -0.21530410647392273, -0.019193192943930626, -0.11744232475757599, 0.3533177375793457, -0.12306008487939835, 0.44772443175315857, -0.9550530314445496, -0.294840008020401, -0.41256436705589294, -0.5058174729347229, -0.9633235335350037, 0.5042116641998291, 0.33349931240081787, 0.44172191619873047, -0.5430114269256592, -0.6562542915344238, -0.2178654819726944, -0.575087308883667, -0.8555489778518677, 0.5155832767486572, -0.362405002117157, 0.4498410224914551, -0.0038087349385023117, 0.9517149329185486, 0.265974760055542, -1.2109768390655518, -0.8368495106697083, 0.5400367975234985, 1.1264678239822388, -0.9613751769065857, 1.1361175775527954, 0.07437609881162643, 0.41074633598327637, -0.2774929106235504, -1.4176113605499268, -0.2618374824523926, 0.46811577677726746, 1.102403163909912, 0.9525957107543945, -0.4565894305706024, -0.08796658366918564, 1.3314415216445923, -0.2142847329378128, 0.020336810499429703, -0.3208325505256653, 0.21853958070278168, -0.0116431200876832, -0.09646467864513397, -1.065112829208374, -0.7417001724243164, -0.7845987677574158, -0.48207733035087585, 0.1842435896396637, 0.1417141854763031, 0.6304216384887695, -1.1453309059143066, -0.3496619462966919, -2.1777195930480957, -0.07542185485363007, -0.05503808334469795, -0.04018530249595642, -0.0903344601392746, 0.32008856534957886, -1.2154459953308105, 0.935487687587738, 0.5534595251083374, 0.42426538467407227, 0.28926390409469604, 0.23692341148853302, 0.5828553438186646, 1.690769910812378, -0.509109616279602, 0.5280606746673584, 0.3699111044406891, -0.940952479839325, -0.46706804633140564, -1.105155110359192, -1.3524439334869385, -1.1691900491714478, -0.6354832649230957, -0.100864477455616, -0.037275947630405426, -0.36037394404411316, -1.3351080417633057, 0.46704038977622986, 0.040710706263780594, -0.055939964950084686, 0.0736229345202446, 0.02698265016078949, -1.4266144037246704, -1.744877815246582, -0.4675622880458832, -0.39335617423057556, -0.4486713111400604, 0.4168139696121216, -0.4160691499710083, 0.8444482088088989, 0.20665909349918365, -1.3218519687652588, -0.24283938109874725, 0.12461260706186295, -0.5776301026344299, 0.12351518869400024, -0.09256108105182648, -0.0663110762834549, -0.5530848503112793, -0.10821979492902756, 0.04054680094122887, -0.7109655737876892, 0.1906132996082306, -0.2479986995458603, -0.9542589783668518, -0.6875398755073547, 1.0053703784942627, -0.38716569542884827, 1.0881928205490112, 0.6686549782752991, 0.3376123607158661, -0.3158051371574402, -0.7177072763442993, -1.013633370399475, -0.27214139699935913, -0.7395064830780029, -0.3081185519695282, -1.71607506275177, 0.10491994023323059, -0.8669635653495789, -0.7687072157859802, 0.04323764890432358, 0.6468393802642822, -0.5768568515777588, -0.14524856209754944, -0.07799998670816422, 0.007411958184093237, -0.040537841618061066, 0.25741663575172424, 0.14566467702388763, -0.5384483337402344, 0.5318676829338074, -0.26700833439826965, -0.2633722126483917, 0.45793989300727844, 0.028244085609912872, 0.061473384499549866, 0.09653365612030029, 0.6075772047042847, -0.4843641519546509, 0.14932473003864288, -0.7960209846496582, -0.09354601800441742, -0.03382355347275734, 0.38550636172294617, -0.6770939230918884, 0.6010932922363281, -0.13214445114135742, 0.9764660000801086, -0.22185389697551727, -0.09502248466014862, 0.310223251581192, 1.0773226022720337, 0.4885218143463135, -0.4139000177383423, -0.43167445063591003, -0.5549455881118774, -0.8608930706977844, 0.2643880248069763, -1.2791670560836792, 0.08092297613620758, -0.007126103155314922, 0.7543115615844727, -0.38098806142807007, -0.1915976107120514, 0.377399742603302, 0.6890480518341064, 0.16379135847091675, 0.6424885392189026, 1.4407258033752441, 0.30919864773750305, 0.012007771991193295, 0.33605778217315674, -0.9116984009742737, 0.5453749299049377, -0.1298714578151703, -0.40472763776779175, -0.002507465658709407, 0.9084169864654541, -0.30325350165367126, -0.39728450775146484, -0.2452569305896759, 0.9281013607978821, -0.3495752215385437, -0.2464754283428192, -2.0918681621551514, 1.0216540098190308, -0.3284628093242645, 0.14466743171215057, 0.12765836715698242, 1.0666462182998657, 0.7191770076751709, 0.1323767751455307, -0.3443889021873474, -1.1240012645721436, -1.16534423828125, -0.637412428855896 ]
1,080
0704.1082
Jose Alvarez
J.V. Alvarez and Felix Yndurain
Superconductivity and magnetic order in CeRhIn$_{5}$; spectra of coexistence
null
Phys. Rev. Lett. 98 126406 (2007)
10.1103/PhysRevLett.98.126406
null
cond-mat.str-el cond-mat.supr-con
null
We discuss the fixed-point Hamiltonian and the spectrum of excitations of a quasi-bidimensional electronic system supporting simultaneously antiferromamagnetic ordering and superconductivity. The coexistence of these two order parameters in a single phase is possible because the magnetic order is linked to the formation of a spin density wave, and its order parameter is not associated to a spectral gap but to an energy shift of the paramagnetic bands. This peculiarity entails several distinct features in the phase diagram and the spectral properties of the model, which may have been observed in CeRhIn$_5$. Apart from the coexistence, we find an abrupt suppression of the spin density wave when the superconducting and magnetic ordering temperatures are equal. The divergence of the cyclotron mass extracted from de Haas-van Alphen experiments is also analyzed in the same framework.
[ { "created": "Mon, 9 Apr 2007 08:45:50 GMT", "version": "v1" } ]
2015-05-13
[ [ "Alvarez", "J. V.", "" ], [ "Yndurain", "Felix", "" ] ]
07
[ -0.2190927118062973, -0.4092788100242615, -0.13926497101783752, -0.8545022010803223, -1.7627707719802856, 0.6048985719680786, 0.25321757793426514, -0.516325056552887, -0.8552808165550232, 0.44674524664878845, -0.9470329880714417, 0.14891554415225983, -0.9042620062828064, 0.9859815239906311, -0.9558333158493042, 1.3227969408035278, 0.346905916929245, 0.12670159339904785, 1.3113465309143066, 0.17089106142520905, 0.27014607191085815, -0.4826107621192932, -0.11369156837463379, -1.3001444339752197, -0.05855872482061386, 0.11609108746051788, 0.9667971730232239, 2.204338550567627, 0.5760975480079651, 0.27389463782310486, 0.5324779152870178, 1.0646021366119385, -0.2636272609233856, 0.48476848006248474, -0.4726846516132355, -0.5594789385795593, 1.609898328781128, -0.8640037775039673, -0.49737775325775146, 0.4202101230621338, 1.8770709037780762, 1.9143683910369873, -1.2679680585861206, -0.13233280181884766, -1.362854242324829, -0.49680212140083313, -1.411800503730774, -1.3306262493133545, -0.29714277386665344, -0.4408058524131775, 0.26356402039527893, 1.0529917478561401, 0.3071167469024658, -0.11391543596982956, 0.16586005687713623, 2.0020270347595215, -0.4746571481227875, 0.9146327376365662, -0.11023975163698196, -1.4526666402816772, -0.410849004983902, -0.18865416944026947, 0.37828806042671204, 1.021579384803772, 0.7478354573249817, -0.09303195774555206, -0.6268571019172668, -0.38161155581474304, 0.4518141746520996, -0.07365181297063828, 0.6190663576126099, -0.9506315588951111, -0.6708648800849915, 0.11578141152858734, -0.17521485686302185, 0.548664391040802, -0.31561800837516785, -1.2010282278060913, -0.05702241137623787, -0.16725444793701172, 1.0927178859710693, 0.7769579887390137, 0.04929748922586441, -0.6747919321060181, -0.1923081874847412, 0.8171471953392029, 0.6912006735801697, 0.14201141893863678, -0.3963707983493805, 0.31963804364204407, 0.39098474383354187, 1.2244967222213745, 0.4387015700340271, 0.4586015045642853, -0.39845818281173706, -0.5913706421852112, 0.07590317726135254, -0.8059783577919006, -0.2114059031009674, -0.2559361159801483, -0.555232048034668, 0.1675914078950882, 0.3044021725654602, 0.4673495590686798, -0.20409397780895233, -0.11500613391399384, -0.6461389660835266, -1.2388508319854736, 0.5624693036079407, 0.4234844446182251, 0.4834500253200531, -1.6068832874298096, 0.6668193340301514, 0.9309259653091431, -0.06186510995030403, 0.005365834105759859, -0.8961323499679565, 0.008986923843622208, 0.8344489932060242, -0.6893318295478821, -1.1358951330184937, 0.2621782422065735, 1.3053890466690063, -0.8373978734016418, 0.23261311650276184, -0.5590373277664185, 0.9607053995132446, -0.4012237787246704, -1.1818500757217407, -0.23444461822509766, 0.1516134887933731, -0.44808101654052734, -0.16552695631980896, 1.4914978742599487, 0.5036943554878235, 0.055134549736976624, 0.5423704385757446, 0.4834327697753906, 0.7858802080154419, -0.39829230308532715, 0.07553671300411224, 0.1279815137386322, -0.3223380744457245, -0.4209197759628296, -0.0010622073896229267, -0.8078672289848328, -1.4418433904647827, 0.046438489109277725, -0.05866599455475807, -0.6106299757957458, 0.4934110939502716, -0.32271987199783325, 0.28256404399871826, 1.50015127658844, -0.41355133056640625, -0.7317204475402832, 0.8468528985977173, 0.2949906289577484, -0.9016373157501221, 0.6679713726043701, -0.10858336091041565, -0.48989662528038025, -0.38834407925605774, -1.3757195472717285, -0.5997618436813354, 0.5073351263999939, 0.17994065582752228, 0.43696895241737366, -1.5516536235809326, 1.0420342683792114, 0.9575263857841492, 0.5659846067428589, 0.24758879840373993, -0.7057599425315857, -1.2236210107803345, -0.5695913434028625, 0.5068075656890869, -0.7345399856567383, -0.2337096482515335, -0.09423313289880753, -0.5617066621780396, -1.4194436073303223, 0.46988576650619507, 0.6889415979385376, -0.19461549818515778, 1.0949441194534302, -0.47655022144317627, -1.2587074041366577, -0.374057412147522, 0.22053778171539307, 0.33308637142181396, 0.6857457756996155, -0.8179249167442322, -0.6952885985374451, 0.6253994703292847, 1.980082392692566, 1.0919777154922485, 1.5160328149795532, 0.18185696005821228, -1.1016278266906738, -0.5626991391181946, 0.8219469785690308, 0.03971493989229202, 0.15152238309383392, -0.05983095243573189, 0.6954514384269714, -0.14884668588638306, 0.45781993865966797, -1.1833282709121704, 0.1576368510723114, -0.6067777276039124, -1.489150881767273, 0.06390263885259628, -0.04849858582019806, 0.5129761099815369, -1.0373246669769287, -0.8242360353469849, 0.180511474609375, 0.34045320749282837, -1.2767058610916138, 0.7121528387069702, 0.20501671731472015, 0.24224838614463806, 0.05615982040762901, 0.9473139643669128, 0.5558544993400574, -0.316672682762146, -0.17224076390266418, 1.344643473625183, -0.17420807480812073, 1.281786561012268, -1.0954416990280151, -0.6861235499382019, 0.25063398480415344, 0.02702302113175392, 0.07595741748809814, -0.29198482632637024, -0.7267184853553772, -1.2306381464004517, -0.20678892731666565, -0.12265776097774506, 0.3928459882736206, -0.3942320644855499, -0.09294658899307251, -0.15793569386005402, 0.0763489156961441, -0.10717882961034775, 0.46624964475631714, -0.9402301907539368, 0.34467563033103943, 0.7118569612503052, 0.05737524852156639, 0.749791145324707, -1.2096905708312988, -0.918552815914154, -0.6213821172714233, -0.16956308484077454, -1.2433804273605347, 0.4656902849674225, 0.7927445769309998, -0.4238220453262329, 0.375145822763443, 0.11310906708240509, -1.0032713413238525, 0.09731084108352661, -0.8302803039550781, -0.04201091453433037, -0.37095770239830017, 0.27420473098754883, -0.653108537197113, -0.5413154363632202, -0.3565806448459625, -1.2613552808761597, -0.2561262249946594, -0.22033508121967316, 0.5708256363868713, 0.9803389310836792, -0.6490699648857117, 0.16678887605667114, 0.5435497164726257, 0.70763099193573, 0.9267972111701965, 0.18328678607940674, 0.590304970741272, 0.24706228077411652, 0.5765846967697144, 1.211370587348938, 0.5956361889839172, 0.3917021155357361, 0.1277226358652115, -1.05377197265625, 0.5888495445251465, 1.3366643190383911, -0.4524613618850708, -1.0240651369094849, -0.05663566663861275, 0.45104917883872986, -0.4125005304813385, 1.2368781566619873, 0.5805740356445312, -0.8629773259162903, 0.10192567110061646, 0.656886100769043, -0.4725797474384308, -0.07215774804353714, -0.17899370193481445, 0.22384919226169586, -0.2558871805667877, 0.1569327712059021, 0.6561242938041687, -0.18032605946063995, 0.8881024122238159, 0.26753488183021545, 0.20922110974788666, -1.6238386631011963, 0.30412280559539795, -0.960294246673584, -0.062069881707429886, -0.6243765354156494, -0.6038134098052979, 0.6071633696556091, 0.3856201767921448, 1.2102408409118652, -0.3126070499420166, -1.1529911756515503, 0.05113700032234192, -0.1730007827281952, -0.6058210134506226, -0.9600738286972046, 0.5891609787940979, -0.5745562314987183, -0.10987406969070435, 0.9615213871002197, 0.4954352080821991, 1.1271889209747314, 0.40184932947158813, -0.025178201496601105, 0.1963283270597458, 1.0910515785217285, 0.24753598868846893, 0.42032390832901, -0.12252110987901688, 0.98387610912323, 0.2712360620498657, -1.065996766090393, 0.2124912291765213, 0.12552978098392487, 0.7068342566490173, -0.7000476717948914, 0.43044552206993103, -0.7182510495185852, -0.17900384962558746, 0.3012756109237671, -1.258424162864685, -0.67095947265625, 0.02725801058113575, 0.55650794506073, 0.4415982961654663, 1.1942107677459717, 1.336465835571289, -0.04672856256365776, -0.37846091389656067, 1.347805380821228, -0.2683790326118469, 0.3139961063861847, 0.6611011624336243, -0.11875439435243607, -1.2695425748825073, 1.0526230335235596, -1.2818931341171265, -1.4585105180740356, -0.45659488439559937, 0.3691997528076172, -0.644298791885376, -0.9004123210906982, -0.33777177333831787, -1.5759632587432861, 0.43148258328437805, -0.0897258073091507, -0.16265124082565308, -0.0841345563530922, 0.33704790472984314, 1.1468490362167358, 0.04970122128725052, 0.8591707944869995, 0.6535106897354126, 1.1705029010772705, 0.802245557308197, -1.5567083358764648, -0.6848416924476624, -1.4694008827209473, -0.43243280053138733, 0.0035363167989999056, 0.7624570727348328, -0.7303735613822937, -0.14461547136306763, 1.1782463788986206, 1.379468560218811, 1.99285089969635, 0.020334916189312935, 0.3590247929096222, 0.36801496148109436, -0.7083529829978943, -0.9613020420074463, -0.053677983582019806, 0.9421421885490417, -0.3940970003604889, -0.5244742035865784, 0.3836538791656494, 0.046906158328056335, 0.5621206760406494, 0.44422146677970886, 1.1256604194641113, -0.8346431851387024, -0.049596209079027176, -0.19661368429660797, -0.36719366908073425, 1.2489566802978516, -0.469981849193573, 0.3734888732433319, 0.4669650197029114, -1.1114879846572876, 0.3312298357486725, 1.8807458877563477, -0.5000756978988647, 0.8912753462791443, 0.077055424451828, -0.08233506977558136, 0.366966187953949, 0.18373385071754456, 0.6828821897506714, 0.30132412910461426, 0.684911847114563, 0.30503496527671814, -0.5334367156028748, -0.9192136526107788, 0.33155760169029236, -0.5190553665161133, -0.10567980259656906, -0.35245469212532043, -0.1655067652463913, -0.5135816335678101, 0.2280641347169876, -0.8411257266998291, 0.21120575070381165, -1.096886157989502, -1.4700833559036255, 1.1704374551773071, -0.2836601734161377, -0.6753280758857727, 0.7818350791931152, -1.2871400117874146, -0.4787791669368744, -0.2774602472782135, -0.6010247468948364, 0.09973063319921494, -1.0637867450714111, 0.3037608861923218, -0.14007918536663055, -0.20473331212997437, -1.6347821950912476, 0.06656723469495773, 0.16743133962154388, -0.9240955114364624, 0.7731422185897827, -0.9027197360992432, -0.2553010880947113, -0.035949815064668655, 0.11388035118579865, -0.29088807106018066, 0.28371989727020264, 0.6836678981781006, 0.5493915677070618, -0.040725432336330414, -0.39884671568870544, -1.100717544555664, -0.09154349565505981, 0.6425119042396545, 0.602098822593689, -0.010743606835603714, 1.0717267990112305, -0.0463765449821949, 0.37436017394065857, -0.7494889497756958, -0.19735023379325867, 0.5598952770233154, 0.5736289024353027, 1.0528367757797241, -0.06239703297615051, -0.0783635750412941, 0.7348762154579163, -0.2471436858177185, -0.10169428586959839, 0.5898798108100891, -0.4671115279197693, 0.49848702549934387, -0.6064232587814331, -0.23800313472747803, 0.43538954854011536, -1.037595510482788, 0.2063729465007782, 0.5316433310508728, 0.3401130139827728, -0.3229163587093353, -2.139730453491211, -0.15201032161712646, -0.27806517481803894, 0.8136014342308044, -0.9285442233085632, 1.2468562126159668, 0.7610417604446411, 0.693418562412262, 1.2512739896774292, -0.16025321185588837, 0.7906394004821777, -0.24600514769554138, -0.16727547347545624, -2.7705750465393066, 0.2016720026731491, -1.5603513717651367, -0.8687101602554321, -0.8823654055595398, -0.12065383791923523, -0.10062706470489502, 0.30535852909088135, -0.2591306269168854, -0.5620995163917542, 0.27753809094429016, 0.10311927646398544, -0.587792158126831, -1.5513466596603394, -0.21690449118614197, 0.7581313848495483, -0.050235118716955185, 1.175205111503601, 0.39001816511154175, 0.29910022020339966, 0.22208698093891144, -1.6686584949493408, -0.21813668310642242, -0.7083775997161865, -0.23612354695796967, -0.8061925768852234, -0.16322842240333557, -0.038668837398290634, -0.4796626567840576, -1.3101123571395874, 0.2833658456802368, -0.8477494120597839, 0.25453415513038635, 0.10397513955831528, -1.16668701171875, -0.8965163230895996, 0.41917043924331665, -0.45913147926330566, 0.533062219619751, -6.7249579429626465, -0.07724440842866898, -0.16162358224391937, 0.05013076588511467, 0.7427206635475159, -1.344397783279419, -1.1360867023468018, -0.6384150385856628, 0.057917673140764236, -0.13716793060302734, 0.3457944393157959, -0.4900842010974884, -0.7484378218650818, -0.5865442752838135, 0.07400374114513397, -0.08132211863994598, -0.4162802994251251, -0.8936620950698853, 0.4273158609867096, 0.40075966715812683, -1.266506314277649, -0.015806034207344055, -0.11748586595058441, -0.47909706830978394, -0.2807554006576538, -0.007400003261864185, -0.34202587604522705, 0.26732349395751953, -0.9272317290306091, 0.2593271732330322, -0.789047122001648, 1.2908483743667603, -0.9954869747161865, 0.6353378891944885, 0.2896292805671692, -0.33600109815597534, -0.12869203090667725, 0.09531112015247345, -0.01173413172364235, -0.37237703800201416, 0.08995842933654785, 0.8993735909461975, -0.25446468591690063, -0.4169350862503052, -2.0399396419525146, 0.11634974181652069, 0.007443984970450401, -1.2325456142425537, 0.5320078730583191, 0.1763574630022049, -0.3922078311443329, 0.30886396765708923, -0.2836886942386627, 1.1458535194396973, 0.062241487205028534, 0.5346285700798035, -1.1581817865371704, -0.617303729057312, -1.2158068418502808, -0.46005386114120483, 0.7240663170814514, 0.7146555781364441, 0.15575191378593445, 0.790367066860199, -0.4525323808193207, 0.8228174448013306, -0.1301167756319046, 0.4775141179561615, 0.994013786315918, -0.01879454031586647, -0.4346153438091278, -1.255238652229309, -0.186262309551239, 0.47004202008247375, -0.5470514893531799, 0.22476036846637726, -0.4391089677810669, -0.3296351730823517, -0.0944620743393898, 0.7242060899734497, 0.3612231910228729, 0.575916588306427, -0.6312344670295715, 0.8164777755737305, 1.303971290588379, -0.2884021997451782, 1.3204822540283203, -1.208686113357544, 0.5990177392959595, -0.6452791690826416, 0.5926291346549988, -0.22019074857234955, 0.5075875520706177, -1.2507600784301758, -1.3593461513519287, -0.1510002464056015, 0.031066663563251495, -0.2518872320652008, -0.7561807036399841, 0.22543726861476898, -0.3754236698150635, -2.017543315887451, 0.25750598311424255, -0.08899897336959839, -0.6693896651268005, -0.9593570828437805, -0.36898869276046753, -0.4169262647628784, 0.18615864217281342, -1.201928734779358, -0.3206419050693512, -0.3003076910972595, -0.7915482521057129, 0.3470006585121155, 0.061471085995435715, 0.18418879806995392, -1.3292139768600464, 1.0279288291931152, 0.30804434418678284, 0.14680875837802887, 0.3848022222518921, -0.17479801177978516, 0.7716178894042969, -1.0378085374832153, 1.2031461000442505, 0.2994518280029297, -0.42827898263931274, -1.3897639513015747, 0.45997101068496704, 1.3738678693771362, 0.3878623843193054, 1.1064091920852661, -0.2859853506088257, 0.2781960666179657, -0.2706335484981537, -0.2938246726989746, 0.39260807633399963, 0.1483844667673111, -0.14442205429077148, 0.9311550259590149, 1.1933549642562866, 0.9617484211921692, 0.1702098846435547, -0.8056064248085022, 0.5748523473739624, -0.766516387462616, 1.1829478740692139, -0.35863783955574036, -0.6198002696037292, -0.6554061770439148, -1.0049935579299927, 0.8879625797271729, -0.516869843006134, -0.27004504203796387, -0.30054187774658203, -0.18564622104167938, -0.8811783790588379, -0.3026526868343353, 0.13404126465320587, 0.07643870264291763, -0.3331525921821594, 0.0006246354896575212, -0.17271608114242554, -0.25580859184265137, -0.34573090076446533, -0.22526074945926666, -1.6384289264678955, 0.1183004081249237, -0.003000469645485282, -2.8781626224517822, 0.5437242388725281, 0.17171810567378998, -0.5041555762290955, -0.49355781078338623, 0.3354552984237671, 0.940549910068512, -0.4794667363166809, 0.33535853028297424, -0.2751012444496155, -0.8284507393836975, -1.487246036529541, -0.6519758701324463, 0.1327153444290161, 0.7744711637496948, -0.41930946707725525, 1.7813650369644165, 0.5403249263763428, -0.47071367502212524, -0.42513176798820496, -0.5258777141571045, -0.04797658696770668, 0.0805932879447937, 0.9729748368263245, -0.8639501929283142, -1.85640287399292, 1.9363950490951538, 0.2769259810447693, 0.2931869626045227, 0.055262722074985504, -0.6048555970191956, -0.7535654902458191, 1.3041266202926636, 0.3737013041973114, 0.14184381067752838, 0.4791417717933655, -0.10484148561954498, -0.06067821756005287, -0.24219076335430145, 0.3731790781021118, -0.5651271343231201, 0.6147035956382751, -1.1322062015533447 ]
1,081
0704.1083
Laurent Berger
Laurent Berger
B-pairs and (phi,Gamma)-modules
31 pages; French
Algebra & Number Theory 2 (2008), no. 1, 91--120.
null
null
math.NT math.AG
null
Main change from v1 : theorem C has been modified, see remark 3.1.7 (2). We study the category of B-pairs (W_e,W_dR^+) where W_e is a free B_cris^{phi=1}-module with a semilinear and continuous action of G_K and where W_dR^+ is a G_K-stable B_dR^+ -lattice in B_dR \otimes W_e. This category contains the category of p-adic representations and is naturally equivalent to the category of all (phi,Gamma)-modules over the Robba ring.
[ { "created": "Mon, 9 Apr 2007 08:49:20 GMT", "version": "v1" }, { "created": "Sun, 26 Aug 2007 06:57:35 GMT", "version": "v2" } ]
2010-02-22
[ [ "Berger", "Laurent", "" ] ]
07
[ -0.5673503279685974, -0.6727228760719299, 0.8362160921096802, 0.7850392460823059, 0.6225225925445557, -0.22556312382221222, 0.5513952970504761, -0.28417447209358215, -1.664989709854126, 0.039894819259643555, -0.24012520909309387, 0.48894524574279785, 0.6625709533691406, 0.8776780366897583, -0.4069673418998718, 0.17472314834594727, -0.755236804485321, -0.5085939764976501, -0.3539270758628845, -0.6964224576950073, -0.10065189003944397, 0.9098606705665588, -0.14162908494472504, -1.419810175895691, 0.007477601058781147, 0.27082687616348267, 0.4111329913139343, -0.1628054678440094, -0.5774810314178467, 0.8628556132316589, -0.4684526026248932, -0.7290326952934265, -0.8097069263458252, 1.0287983417510986, -0.16443891823291779, 0.25475674867630005, 1.0180132389068604, -0.6037773489952087, -2.189303398132324, -0.959401547908783, 0.018323499709367752, 0.10383547097444534, -0.3206629157066345, -0.5731903314590454, -0.08323536068201065, -0.3183535933494568, 0.1005936935544014, -1.67203950881958, -0.5351619720458984, 0.24921315908432007, -0.7406572699546814, 0.6599337458610535, 0.5618520379066467, -0.6465363502502441, 0.5179464817047119, -0.441922664642334, 0.23749510943889618, -0.8811928629875183, -0.19371800124645233, 0.3065841495990753, 0.07555580139160156, 0.627002477645874, 0.10082680732011795, 0.5974892377853394, -0.14364643394947052, -0.6719942092895508, 0.1830865740776062, 0.537162721157074, 0.32768023014068604, -0.4610893428325653, -0.665910005569458, 0.023633329197764397, 0.18344992399215698, -0.4804118871688843, 0.3696972727775574, 0.2679698169231415, 0.19581471383571625, 0.4369569420814514, -0.16814126074314117, -0.6892970204353333, -0.17970216274261475, 0.39772889018058777, -0.5382311344146729, 0.8301255106925964, -0.654095470905304, 0.5468660593032837, 0.22313646972179413, 0.7324014902114868, -0.17957010865211487, 1.7520420551300049, 1.8858875036239624, -0.32527896761894226, -0.834374725818634, -0.2569492757320404, 1.2190133333206177, -1.5724797248840332, -0.23777885735034943, 1.76446533203125, -0.17185078561306, -0.412897527217865, 0.15203435719013214, 0.2447746843099594, -0.059633128345012665, 0.44039157032966614, -0.5613126158714294, 0.3298106789588928, -0.21297992765903473, -0.5865235328674316, -0.14756977558135986, 0.4998728632926941, 0.8466402888298035, -1.073383092880249, -0.7982558012008667, 1.3590553998947144, -1.6252772808074951, 1.1450259685516357, -0.13050033152103424, 0.4322521686553955, 0.5712288022041321, 0.11225659400224686, 0.17600195109844208, 0.327593594789505, 1.6844626665115356, -0.7765231728553772, -0.36133530735969543, 0.8349511027336121, -0.6712903380393982, 0.44334158301353455, 0.2718820571899414, 0.03996049240231514, -0.19728893041610718, 0.4849509596824646, 0.5108170509338379, -2.047617197036743, -0.0916900485754013, 0.23038899898529053, 0.14061573147773743, -0.24816957116127014, -0.13880139589309692, -1.2822864055633545, -0.07590057700872421, -0.5564072132110596, -0.11967062950134277, -1.3239936828613281, 0.30068737268447876, -0.9370466470718384, 0.5498406887054443, -0.07239177078008652, 0.4636038541793823, 0.20427243411540985, 0.8243420124053955, 0.8331668972969055, 0.5527567863464355, 0.09783440828323364, -0.30351340770721436, 0.15655921399593353, 0.9020598530769348, -0.9478720426559448, 0.6138544678688049, -1.2093740701675415, -1.715438961982727, 0.9555299282073975, 0.6776202917098999, 0.3780069649219513, 0.32749542593955994, -0.20893512666225433, -0.17150616645812988, -0.12325708568096161, 0.5891083478927612, 0.14338761568069458, 0.7615030407905579, 0.014294474385678768, -0.21268188953399658, 0.20480085909366608, 1.6956474781036377, -0.4259302318096161, 1.0067188739776611, 0.4158162474632263, -0.619888186454773, -0.026887791231274605, -0.8437542915344238, -0.3991343379020691, 0.49896639585494995, 1.306330680847168, -0.03700442612171173, -1.2233086824417114, -0.16028159856796265, 0.3809732496738434, 0.009583275765180588, 0.09522529691457748, -1.3860687017440796, -0.4258889853954315, -0.5214093923568726, -0.11623319983482361, 0.23187294602394104, -0.11170953512191772, 1.0886882543563843, 0.4793910086154938, -0.7860446572303772, 0.06064171716570854, -0.0757111981511116, -0.4496466815471649, -0.3746331036090851, 0.6117305159568787, -1.171226143836975, 1.0587352514266968, 0.6932142972946167, 0.23715175688266754, -1.0887705087661743, -0.06045779958367348, 0.7074060440063477, 0.18152569234371185, 0.16910198330879211, 0.3544359505176544, 1.5108650922775269, -0.46078792214393616, 0.9879308938980103, 0.6196216344833374, 0.10509222745895386, 1.532029151916504, -0.33292263746261597, 0.6548058986663818, 0.49070098996162415, -0.26381146907806396, 0.2682841122150421, 0.2058207094669342, 0.3571730852127075, 0.37884193658828735, -0.4182078242301941, -0.21119558811187744, 0.21117514371871948, 0.045036282390356064, 0.1455366462469101, -1.0097495317459106, -0.17913272976875305, -0.8391619324684143, 0.504150390625, -0.7495734691619873, -0.4017677307128906, 0.5734639763832092, -0.5969043374061584, -0.2091408669948578, -0.024051934480667114, 0.23574449121952057, -0.29514238238334656, -0.4112100601196289, 0.2894374132156372, -0.7802659273147583, -0.8452364802360535, -0.8772969841957092, 1.783385992050171, -0.9304711222648621, -0.5435789823532104, -0.09956324100494385, 1.502583384513855, -0.34810590744018555, -0.30976417660713196, -1.1161415576934814, -0.6465056538581848, -0.737769365310669, -0.5756438374519348, 0.021666301414370537, -0.6490651369094849, -0.11089913547039032, 1.0279909372329712, -1.29048752784729, 1.9842578172683716, -0.037513572722673416, 0.45913925766944885, -0.019767876714468002, -0.3535299003124237, 0.48343512415885925, -0.08531206101179123, -2.085082769393921, -0.530600368976593, -0.15160635113716125, -0.7854406833648682, -0.00971344206482172, -1.1210709810256958, -0.8677319288253784, -0.027974752709269524, 0.7457277178764343, -0.025853803381323814, -0.12268145382404327, 0.496601402759552, -0.24188348650932312, 0.7008050680160522, -0.3708757758140564, 0.15908582508563995, 1.2212759256362915, 0.20218580961227417, -0.014511777088046074, -0.45247682929039, -1.1336002349853516, -0.8713609576225281, 0.12007929384708405, 0.7392001152038574, -0.40898066759109497, 0.5486244559288025, -0.6205371618270874, 0.1495579481124878, 0.8781924247741699, -0.08203073590993881, -0.24922995269298553, 0.09275597333908081, -0.009737949818372726, -0.7241117358207703, -0.23825077712535858, -0.7975881695747375, 0.44709649682044983, -0.7808800339698792, 0.35152387619018555, 0.5026596188545227, -0.9437093138694763, -1.0541188716888428, -0.4417025148868561, -0.09260798245668411, -0.25315845012664795, -0.05114142596721649, -0.3752429187297821, 0.001840185490436852, -0.11812286823987961, 1.7262097597122192, -1.0919790267944336, 0.5642960071563721, -0.902385950088501, -0.18077026307582855, 0.04367410019040108, 0.020020494237542152, 0.8152264952659607, 0.009984027594327927, -1.29580819606781, 0.7748376727104187, 0.4633491635322571, -0.8510653972625732, -0.32789385318756104, -0.1944146603345871, -0.5534301996231079, 0.726662278175354, -0.3157585859298706, 0.25397130846977234, -0.27642822265625, -0.5385532975196838, -1.3283485174179077, -0.4204797148704529, -0.22891734540462494, 0.1001533567905426, -0.20184443891048431, -0.40245550870895386, 0.4408645033836365, 0.5013630390167236, -0.57431560754776, -0.009453712962567806, 0.3184841573238373, 0.050665393471717834, -0.31898409128189087, 0.6501622200012207, 0.8129982352256775, 0.7015718221664429, 0.5031818151473999, -0.16334083676338196, 1.0363975763320923, 1.0832617282867432, -0.5883938670158386, 0.8477749228477478, -0.23728054761886597, -1.177627682685852, -0.0879032090306282, -0.3831478953361511, -0.13368411362171173, 0.4490896761417389, -0.34789857268333435, -0.5889981985092163, 0.07406499981880188, -1.5652141571044922, -1.2173441648483276, -1.6688185930252075, 0.3609861135482788, -0.8217095732688904, 0.08872153609991074, -0.1999022364616394, 1.105692744255066, -0.3074142634868622, 0.03694605454802513, -0.7642795443534851, 0.11566915363073349, 1.6420562267303467, -0.77186119556427, 0.7698017954826355, -0.22169223427772522, -0.8863344192504883, -0.39365264773368835, 0.14701369404792786, 0.4660618007183075, -1.7619496583938599, 2.4794836044311523, -1.0731867551803589, -0.8215484619140625, 0.48857516050338745, 1.1055119037628174, -0.8683127760887146, -0.431761234998703, -0.48201984167099, 0.6099708676338196, 1.8867409229278564, -0.9626160860061646, -1.7047868967056274, 1.000497579574585, 0.34823402762413025, 0.05535824969410896, 0.8125430345535278, -0.1671331822872162, -1.5442525148391724, 0.4643668830394745, -0.4561306834220886, -0.533100962638855, -1.381654977798462, -0.900414228439331, -0.4513809382915497, 0.5832361578941345, -0.24681779742240906, -1.0193558931350708, -0.31805387139320374, 0.17418073117733002, -1.0568201541900635, -1.4812508821487427, -0.52647864818573, 0.3144361078739166, 0.5383047461509705, 0.23175068199634552, -0.3985418677330017, 1.1902447938919067, -1.6859855651855469, 0.6633780598640442, -0.33610254526138306, 0.1210494115948677, -0.0071978019550442696, -1.264535903930664, 0.07768994569778442, 0.2966029942035675, 0.026554014533758163, -0.2581290602684021, -0.51615971326828, -1.190305233001709, 0.013779029250144958, -1.1071900129318237, 1.261859655380249, 1.6753735542297363, 0.4275222420692444, 0.5111829042434692, -0.04090734198689461, -1.0208728313446045, -0.7168185710906982, -0.1648075431585312, 0.35628369450569153, 0.13466143608093262, -0.6001753807067871, 1.1548091173171997, 0.04732688516378403, 0.8065630197525024, 0.1498715579509735, 0.004234905820339918, 0.5613517165184021, 1.1740031242370605, 0.00046464044135063887, -0.7540605664253235, 0.3788509666919708, 0.24659547209739685, -0.14275744557380676, 0.927426278591156, 0.3041384220123291, 0.1045432984828949, 1.7183033227920532, 0.029259292408823967, 0.2785542905330658, -0.44109100103378296, 0.2966337502002716, -0.0458717867732048, -0.864313006401062, -0.30141574144363403, 0.856706440448761, -0.374872088432312, -0.9485783576965332, 0.28555890917778015, -0.6728842854499817, -0.2648831903934479, -0.7938916683197021, 0.6374046802520752, -0.340839684009552, 0.6247028112411499, -0.1050184816122055, 0.6479420065879822, 0.04997001588344574, -1.4412730932235718, -1.447624683380127, 0.9604170918464661, -0.42913854122161865, -0.31799864768981934, -0.7557178139686584, -1.3063783645629883, 0.2755008041858673, -0.3411504030227661, -0.6752616167068481, -1.586434006690979, 0.2479770928621292, 0.7900737524032593, -0.18002650141716003, -0.14755207300186157, -0.7416288256645203, 1.522336483001709, -1.115984559059143, -0.8980453014373779, 1.2707667350769043, -0.8958923816680908, -1.1280611753463745, 0.31663012504577637, 0.7215273380279541, -2.7325310707092285, -0.6503464579582214, 0.40463441610336304, -0.3414057195186615, -0.9619045257568359, 0.4040020704269409, -1.1341326236724854, 1.036467432975769, -0.41012731194496155, -0.07771557569503784, -0.7665420174598694, -0.41370487213134766, 0.748071014881134, 0.5777735710144043, 1.0968769788742065, 0.9811598658561707, 1.2144711017608643, -0.22012072801589966, 0.5908983945846558, 0.32101213932037354, 0.932492196559906, -0.26886099576950073, -0.3672223687171936, 0.12208835780620575, -0.8801701068878174, 0.5726328492164612, 0.045171819627285004, 0.36445093154907227, 0.9142423868179321, -0.5532307028770447, 0.3063594698905945, -0.10806027799844742, -0.33308157324790955, 0.4823376536369324, 0.08756787329912186, -0.43518051505088806, -0.4666675925254822, -0.8758233785629272, 0.04975966736674309, -7.318958282470703, 0.36328035593032837, 0.2659189999103546, 0.1773180365562439, 0.26865288615226746, -0.26656395196914673, 0.5523223876953125, 0.8804174065589905, -0.22258548438549042, 0.05001362785696983, -0.5755587816238403, 0.045393507927656174, 0.3973633348941803, 0.04099163040518761, 0.19641119241714478, -0.38891205191612244, -0.5690969824790955, -0.6051486134529114, -0.2764102816581726, -1.4800342321395874, -0.9133697748184204, -0.362578421831131, 0.46683284640312195, -0.4449765980243683, 0.8179582357406616, -0.5220557451248169, -0.006537414155900478, -0.18617257475852966, 0.5057957172393799, 0.4814666211605072, -0.36293941736221313, -0.31216225028038025, -1.1791174411773682, -0.5292224884033203, -0.9835911393165588, -0.5920796990394592, -0.6512081623077393, -0.6861786842346191, -0.6040467619895935, -0.6437131762504578, 0.7239241003990173, -0.9786133170127869, -0.5377300381660461, -0.4461359679698944, 0.3354034125804901, -0.4552200138568878, 0.8571091890335083, -0.47450199723243713, 0.3050971031188965, -0.34733596444129944, -0.16048045456409454, -0.47003963589668274, -0.16206184029579163, 0.21605512499809265, 0.039787665009498596, 0.5146170258522034, -1.3621937036514282, -0.2189061939716339, -1.2070735692977905, -0.5256539583206177, -0.7990716099739075, -1.6651328802108765, -0.20536302030086517, 0.6467788815498352, -1.2344276905059814, -0.7061348557472229, 0.9801477789878845, 0.08924662321805954, 0.05231894925236702, 0.7865318655967712, -1.1875728368759155, 1.392757773399353, 0.08179719746112823, -1.0411961078643799, -0.8524108529090881, -0.0687308982014656, -0.26473864912986755, 2.096532106399536, -0.03971109539270401, -0.4573897421360016, -0.6955727934837341, 0.6707019209861755, 0.4115426540374756, 0.9574207663536072, 0.055641740560531616, -0.503722608089447, 0.30496862530708313, 0.24504710733890533, -1.2998772859573364, -0.43771034479141235, 0.572187602519989, 0.18627676367759705, -0.3816145360469818, -0.5979803800582886, -1.0070531368255615, -0.3043869733810425, -0.7409173250198364, 0.6700751185417175, -0.16199268400669098, 0.5996096730232239, -0.22803618013858795, 0.20984244346618652, 0.7424460053443909, 0.6185826659202576, 0.7360060811042786, 1.5077909231185913, -0.3702128231525421, -0.213401198387146, -0.7172240614891052, 0.3549835681915283, -0.2951066493988037, 0.4103413224220276, -0.2408697009086609, -0.9766110777854919, -0.6277924180030823, 1.4318705797195435, -0.19720034301280975, -0.29813116788864136, 1.0436395406723022, 1.2006124258041382, 1.0322664976119995, -0.7300630807876587, 0.7067211866378784, 0.4843604266643524, 1.5370410680770874, 1.0171136856079102, -0.6887813806533813, -0.7824766635894775, -0.8410525918006897, 0.5682237148284912, -0.47663912177085876, 0.5958309173583984, -0.3410867750644684, 0.03422505408525467, -0.011829443275928497, -1.9313089847564697, 0.021312208846211433, 0.3067080080509186, -0.6507355570793152, 0.19164033234119415, 0.7200980186462402, 0.3692941963672638, -0.8400307297706604, 0.3859066069126129, -0.2825343906879425, 0.046794526278972626, -0.7149325013160706, -1.0272178649902344, 0.80194091796875, -0.08766013383865356, 0.8643421530723572, 1.5440102815628052, 0.1989864557981491, -0.8359755873680115, -0.5645717978477478, 1.0154931545257568, 0.029241016134619713, 0.386465460062027, -0.5425456762313843, 0.045598726719617844, 0.5906060338020325, -0.2803484797477722, 0.5314773321151733, 1.9844425916671753, 0.49283739924430847, -0.8237308263778687, -0.44217604398727417, -0.1730404496192932, -0.25338032841682434, 1.3123605251312256, -0.22001177072525024, -0.016288479790091515, -0.5444310903549194, 0.09345134347677231, -0.13231325149536133, 1.489924669265747, -0.42229071259498596, 0.13440914452075958, 0.9068484902381897, -2.770737886428833, 0.29862484335899353, -0.9175499081611633, -0.20885850489139557, 0.5866329073905945, 0.3588666617870331, 2.509939670562744, 0.22407662868499756, -0.3510803282260895, 1.4693238735198975, -0.061074480414390564, -0.6484085917472839, -0.591802716255188, -0.1987292766571045, 0.060277026146650314, -0.1100626215338707, 1.5330135822296143, -0.47269850969314575, 0.23631101846694946, 0.08720757812261581, 0.8956979513168335, -0.2291986644268036, 1.1013959646224976, 0.10382294654846191, 0.03255998715758324, -0.9443916082382202, 0.2170214056968689, 0.41836196184158325, 0.38169512152671814, 1.0440376996994019, -0.47634848952293396, 0.5793361067771912, -0.4445725977420807 ]
1,082
0704.1084
Manuel Asorey
M. Asorey, D. Garcia-Alvarez and J. M. Munoz-Castaneda
Vacuum Energy and Renormalization on the Edge
10 pages, 1 eps figure
J.Phys.A40:6767-6776,2007
10.1088/1751-8113/40/25/S21
null
hep-th
null
The vacuum dependence on boundary conditions in quantum field theories is analysed from a very general viewpoint. From this perspective the renormalization prescriptions not only imply the renormalization of the couplings of the theory in the bulk but also the appearance of a flow in the space of boundary conditions. For regular boundaries this flow has a large variety of fixed points and no cyclic orbit. The family of fixed points includes Neumann and Dirichlet boundary conditions. In one-dimensional field theories pseudoperiodic and quasiperiodic boundary conditions are also RG fixed points. Under these conditions massless bosonic free field theories are conformally invariant. Among all fixed points only Neumann boundary conditions are infrared stable fixed points. All other conformal invariant boundary conditions become unstable under some relevant perturbations. In finite volumes we analyse the dependence of the vacuum energy along the trajectories of the renormalization group flow providing an interesting framework for dark energy evolution. On the contrary, the renormalization group flow on the boundary does not affect the leading behaviour of the entanglement entropy of the vacuum in one-dimensional conformally invariant bosonic theories.
[ { "created": "Mon, 9 Apr 2007 08:57:09 GMT", "version": "v1" } ]
2008-11-26
[ [ "Asorey", "M.", "" ], [ "Garcia-Alvarez", "D.", "" ], [ "Munoz-Castaneda", "J. M.", "" ] ]
07
[ 0.9436666369438171, -0.8026167154312134, 0.742897093296051, 0.1798979490995407, 0.4887584447860718, 0.10472418367862701, -0.40242618322372437, 0.02069341205060482, -0.800600528717041, -0.17707158625125885, -1.8143683671951294, 0.22291477024555206, 0.9128565192222595, 0.6323071718215942, -1.3681248426437378, -0.43421226739883423, 0.2951733469963074, 0.11156197637319565, 0.5533170104026794, 0.7468526363372803, -0.04687188193202019, 0.21962487697601318, 0.24398328363895416, 0.30182644724845886, -0.5420289039611816, -0.8757055997848511, 0.5669567584991455, -0.11008346080780029, -0.3970884680747986, -0.03943762928247452, -0.9417063593864441, 0.33391326665878296, -0.16991783678531647, 0.050182510167360306, 0.9875412583351135, -0.2735057473182678, 1.1458442211151123, -0.9596301317214966, -0.5100839138031006, -0.06893778592348099, -0.6696217060089111, 2.0248184204101562, -0.2346736490726471, 0.881417453289032, 0.09546860307455063, -0.6792335510253906, -0.07855910807847977, 0.9070470929145813, -0.5066133737564087, 0.7398577332496643, 0.5042163133621216, -0.1465500444173813, 0.5535063743591309, -1.003157377243042, 0.8509364724159241, -0.858250081539154, -0.5177839398384094, -0.3401170074939728, 1.3194364309310913, -1.2730745077133179, -0.8140235543251038, -0.2502758502960205, 0.08081848919391632, 0.7012346386909485, 0.8538236021995544, -0.1630987823009491, 0.02345646172761917, 0.44533973932266235, 1.4899348020553589, 0.39061424136161804, -0.2550291121006012, 0.19417443871498108, -0.5675268173217773, -1.3344944715499878, -0.4364481568336487, 0.3405146896839142, 0.5088222622871399, 0.19201675057411194, 0.28295618295669556, -1.4635331630706787, 1.1933459043502808, 1.0019738674163818, 0.38208815455436707, -0.4809291362762451, 0.06667458266019821, 0.9560914039611816, -0.44275346398353577, -0.04499609023332596, 0.5741627812385559, 0.6526330709457397, 1.2839856147766113, -0.4814889430999756, 0.6212657690048218, 1.3814600706100464, 0.10602738708257675, -1.1428223848342896, -0.9720516204833984, 0.3092694580554962, 0.8330579400062561, 0.3082335889339447, 0.754546046257019, -1.0148093700408936, -0.12072766572237015, 0.6682026982307434, -0.7331422567367554, 0.3203522562980652, -0.8934473395347595, 0.12133000046014786, 1.4386696815490723, 0.3296588361263275, 0.3008878827095032, -0.7672105431556702, 0.6690379977226257, -0.11031902581453323, -2.1677422523498535, 0.9724759459495544, 0.5107926726341248, 0.02449808269739151, -1.239057183265686, -0.4545995891094208, -0.10021191835403442, 0.4368366003036499, 0.4410642683506012, 0.4343806207180023, 1.0391080379486084, 0.6386208534240723, -0.8844674229621887, -0.4290371239185333, -0.40565717220306396, -1.9427744150161743, 0.5757477283477783, -0.09890741854906082, -0.8247569799423218, 1.1671720743179321, -0.09083270281553268, 0.8681599497795105, 1.0822255611419678, -0.018915096297860146, 0.9863966107368469, 0.23581451177597046, -1.106831431388855, -0.2817932665348053, -0.8589501976966858, 0.547905445098877, 0.8446623086929321, -0.6902065873146057, 0.7010687589645386, -0.4085547924041748, 1.3322293758392334, 0.022580929100513458, -1.0121910572052002, -0.57108473777771, -0.0017180811846628785, 0.09833483397960663, -1.017154574394226, -0.24845537543296814, 0.6643987894058228, 0.3455306589603424, -1.4441450834274292, 0.9126684665679932, 0.6731660962104797, -0.6209215521812439, 1.2329109907150269, -1.154515266418457, -0.4177909195423126, 0.155382439494133, 0.7448201179504395, 0.30050748586654663, -0.7695649266242981, -0.08684992790222168, 0.003839692333713174, -0.48951831459999084, -1.2270029783248901, 0.0026123870629817247, -0.5543283224105835, -0.09396521747112274, 0.5915566086769104, -0.3824586570262909, -0.5097733736038208, 0.5864270925521851, -0.022556019946932793, -0.8134596943855286, -0.5665550231933594, 0.19789785146713257, 0.04341365396976471, 0.1791304647922516, 0.20649880170822144, -0.6022287011146545, -0.3927571475505829, 1.3696680068969727, -1.053754210472107, 0.47546952962875366, -0.2751106917858124, 1.2800977230072021, -0.047636065632104874, 0.16795620322227478, -0.35647231340408325, -0.24995985627174377, 0.09553936123847961, -0.46213406324386597, 0.6435303688049316, 0.5462257862091064, 0.08290919661521912, -0.5742242336273193, 0.6419602632522583, 2.3579158782958984, -0.45965585112571716, 0.49897634983062744, -0.5401634573936462, 0.6102367043495178, -1.0494611263275146, -0.5578078627586365, -0.12786410748958588, -0.6355856657028198, 0.08159691095352173, -0.17157770693302155, 0.6696192026138306, -0.8249776363372803, -0.9508692026138306, -0.3627735376358032, 0.8632706999778748, -0.09832022339105606, 0.7553192377090454, 0.67020183801651, -1.048754096031189, 0.09682364761829376, 0.13242755830287933, 0.39112335443496704, -0.09245846420526505, -1.7803776264190674, 0.05769461765885353, -0.436795711517334, -0.25264427065849304, -0.7527633309364319, -0.2375265657901764, 0.24067775905132294, -0.07237818092107773, 0.19927743077278137, -0.7099670171737671, 0.4405634105205536, -0.18982864916324615, 0.6374411582946777, -0.08693820983171463, -1.0390700101852417, -0.9281584620475769, 0.3547339141368866, 0.677039623260498, 1.1113989353179932, 0.027103569358587265, 0.05042180418968201, -1.6035261154174805, -0.4047977328300476, 0.7081462144851685, -0.906843900680542, -0.0015564868226647377, -0.0818035826086998, -1.5233502388000488, -0.7604626417160034, -0.2546105980873108, 0.1906394064426422, -0.27401092648506165, -0.6806675791740417, -0.32084381580352783, -0.4508436322212219, 0.20424862205982208, -1.1080266237258911, 0.6981371641159058, -0.046541303396224976, 0.3169165253639221, -0.05194567143917084, 0.16452771425247192, 0.41157266497612, -0.9094465970993042, 0.454520583152771, -0.349502831697464, -1.153206706047058, -0.4759013056755066, 0.595504641532898, 0.6135539412498474, 0.5166541337966919, 0.3557555377483368, 1.0107097625732422, -1.1830064058303833, 1.0041732788085938, 0.0837225392460823, -0.11951199173927307, -0.4791724681854248, -0.22847126424312592, 0.3373226821422577, -0.465291291475296, -0.5920214056968689, -0.9712927341461182, 0.512666642665863, -0.8618833422660828, 0.08633831143379211, -0.7297253608703613, 0.12189805507659912, -0.9680571556091309, 1.083492636680603, -0.004373734351247549, -0.4107736051082611, 0.2900262475013733, -0.11605683714151382, 1.1145339012145996, 0.5626786351203918, -0.012352033518254757, -0.2689242660999298, 0.4602145552635193, 0.569965660572052, 0.3254941999912262, 0.41005849838256836, -0.36686891317367554, 1.7176778316497803, 0.6612879037857056, 0.8420159816741943, -0.29783913493156433, 0.030386311933398247, -0.10599780827760696, 0.8357023596763611, -1.0527855157852173, -0.033171381801366806, 0.7490871548652649, 1.207019567489624, 0.7544517517089844, 0.11236394941806793, -0.4917169213294983, 0.2182714343070984, -0.6983464360237122, 1.1323927640914917, -0.8643852472305298, -1.1454298496246338, 0.6689620614051819, -0.27851957082748413, -0.24695688486099243, -1.2590957880020142, -0.9787856936454773, 0.308152973651886, 0.12817558646202087, 0.4834849238395691, -1.2982522249221802, -1.1886613368988037, -0.12226520478725433, 0.28225862979888916, -0.2732786238193512, -1.3930481672286987, -0.5268134474754333, 0.4612191319465637, 0.056094732135534286, -1.2037487030029297, 0.009072422049939632, -1.112411618232727, -0.6146909594535828, -1.320849061012268, -0.04231374338269234, 0.12323114275932312, -0.48043766617774963, 0.345430463552475, 0.31002920866012573, -0.7454903721809387, -0.5251583456993103, 0.6448702216148376, 0.7292717099189758, -0.004607163369655609, -0.7032482028007507, 0.027487738057971, 0.706805944442749, -1.7849680185317993, -0.42609336972236633, -0.5146245360374451, 0.05338960140943527, -1.1826863288879395, 0.5883736610412598, 0.23936808109283447, 0.17635077238082886, -1.0574325323104858, 0.6136556267738342, 0.1821775585412979, -1.3773469924926758, 1.678911566734314, 1.100175142288208, -0.11017561703920364, 0.03296893090009689, -0.02516721375286579, 0.0724109336733818, -0.4399636685848236, -0.6371347904205322, -0.44739529490470886, 0.7789982557296753, -0.9995441436767578, 0.23354773223400116, -0.3385707139968872, 0.8356807231903076, 0.3696180582046509, -0.5083444118499756, -0.5762814879417419, 0.076011523604393, 0.07212350517511368, -0.8413125276565552, 1.0564626455307007, 1.029738187789917, 1.0819754600524902, -1.25019371509552, -0.8831676840782166, -0.10413353890180588, -0.9542363286018372, 0.3635598421096802, 1.418940544128418, 1.0952497720718384, -1.153517484664917, 0.634385883808136, -1.5237276554107666, -0.8043345212936401, -1.0440165996551514, 0.3715009391307831, -0.2538580596446991, -0.0035774046555161476, -0.5159787535667419, -0.15727365016937256, 0.9339874386787415, -0.018452182412147522, 0.6853237152099609, -0.17791756987571716, 0.23176796734333038, 0.7329403162002563, 1.3218797445297241, 0.09918674826622009, -1.055598258972168, -0.3014630675315857, -0.5821328163146973, -0.1960383653640747, 0.5401404500007629, -0.5086780786514282, 0.917576014995575, 0.37068331241607666, -1.0289469957351685, -2.087785243988037, -0.8957118988037109, 0.3174401521682739, 0.18087443709373474, -0.36193469166755676, -0.05202197656035423, 1.918898582458496, 0.27647867798805237, -0.19927440583705902, -0.03143146634101868, -0.44370925426483154, -0.5008179545402527, 0.5326986312866211, 0.502029538154602, -0.4835127294063568, 0.1743113249540329, -1.0876761674880981, 0.3477907180786133, -0.139997199177742, 0.0011246321955695748, -0.2691727578639984, -0.6152848601341248, 0.09687897562980652, -0.06529396772384644, 0.09152702987194061, -0.41936200857162476, -0.4115692377090454, 0.27267301082611084, 0.18285655975341797, -0.49913954734802246, -0.6226427555084229, -0.3138684332370758, 0.34181684255599976, -0.807929277420044, -0.32481154799461365, 0.6702369451522827, -0.4935029149055481, 1.0700428485870361, -1.6612604856491089, 0.7244342565536499, 0.10849960148334503, -0.23616130650043488, -0.6524769067764282, 0.3077069818973541, 0.39909863471984863, 0.6726270914077759, 0.7901691198348999, 0.33815503120422363, -0.5482965111732483, -1.1525824069976807, 0.387842059135437, -1.238312840461731, 0.3637131452560425, 0.7152510285377502, 1.0333740711212158, 0.15301524102687836, -1.871496558189392, 0.641362726688385, 0.37569907307624817, 0.6492472290992737, 1.1860945224761963, 0.7364714741706848, -0.46442848443984985, 1.1065189838409424, -0.4261144995689392, 0.259318470954895, 0.8270312547683716, -0.4339168071746826, -0.5880658626556396, -2.0959553718566895, -0.1333712637424469, -0.3090652823448181, 0.9683936834335327, -0.17561540007591248, 1.330831527709961, -0.48100247979164124, -0.201186403632164, -0.06743422895669937, -0.6483691334724426, 0.19849690794944763, -0.12263806164264679, -0.9534391164779663, -3.250913619995117, 0.4307492971420288, -1.1792209148406982, -0.20082876086235046, -0.7837749123573303, 0.07625947147607803, -0.24072276055812836, 0.3301756680011749, -0.24847452342510223, -0.7765864133834839, 0.4101592004299164, -0.807420015335083, 0.6459298729896545, -0.03934694454073906, 0.07039434462785721, -0.7702555060386658, -0.10569969564676285, 0.182054340839386, -1.5455571413040161, 0.6002967953681946, 0.18067806959152222, -0.9007163047790527, 0.20287147164344788, 0.716562032699585, 0.3391151428222656, 0.4025583565235138, -1.2012792825698853, 0.9927521347999573, -1.231105089187622, -0.4023669958114624, -0.452129065990448, 1.0343728065490723, 0.445794939994812, 0.433167427778244, -0.42460569739341736, 0.14715328812599182, 0.7836105823516846, -0.49032479524612427, -0.7649495601654053, -7.11837100982666, 0.018255792558193207, -0.3306433856487274, 1.1737658977508545, 0.15333782136440277, -0.5352126359939575, -0.10998519510030746, 0.19972363114356995, 0.2103782743215561, 1.042172908782959, -0.5239433646202087, 0.3977787494659424, -0.47190070152282715, -1.2879573106765747, 0.7243367433547974, 0.040898680686950684, 0.6698653101921082, 0.04780375957489014, -0.4330894947052002, 0.8686633110046387, -1.4755781888961792, 1.1050727367401123, -0.2834938168525696, -0.30064335465431213, -0.7520810961723328, 0.29748374223709106, -0.34410610795021057, 0.22190186381340027, 0.16289860010147095, 0.18293027579784393, -0.08696946501731873, 0.39222899079322815, -1.0069670677185059, -0.05788571760058403, 0.2690756320953369, -1.2956072092056274, -1.2876216173171997, 0.13830098509788513, -0.05839789658784866, -0.6083644032478333, -0.013159528374671936, 0.5836775302886963, -1.1660199165344238, 0.42503559589385986, 0.16385558247566223, 0.5404767394065857, -0.40224918723106384, -0.4599360227584839, -0.6948757767677307, -0.21944130957126617, 0.01368265226483345, -1.0541706085205078, 0.21241211891174316, -0.1901506930589676, -1.025790810585022, 0.5084486603736877, 0.5779888033866882, -0.4917500615119934, 0.8868298530578613, -1.7484968900680542, 0.60978102684021, 0.3027091324329376, 0.04815223813056946, 0.4794451594352722, 0.4257966876029968, -0.8156324625015259, 0.4640009105205536, 0.556289792060852, -0.28676357865333557, 2.7323482036590576, 0.2838917076587677, -1.1962546110153198, 0.7073771953582764, -0.4015839993953705, -0.3640667200088501, 0.1975010633468628, 0.13250026106834412, 1.5879172086715698, 0.24893254041671753, 0.39416608214378357, 0.358785480260849, -0.1272677779197693, -0.1257050484418869, 0.3526420295238495, 0.28756818175315857, -0.33862316608428955, 0.39745426177978516, 0.2826231122016907, 1.5888493061065674, -1.6400132179260254, -0.6888306140899658, 1.5159931182861328, -1.0169082880020142, -0.689199686050415, 1.5775036811828613, 0.47815969586372375, 0.037277285009622574, -0.30890122056007385, -1.0004804134368896, -0.4682246744632721, -0.004350585397332907, -1.4902069568634033, 1.1928378343582153, 0.37877601385116577, 1.55449640750885, 0.3895983397960663, -1.8330554962158203, -0.01486250851303339, 1.3292611837387085, 0.29154810309410095, -1.3986107110977173, -0.24564476311206818, -0.12985838949680328, -0.5723289251327515, -0.07943106442689896, 0.7262701392173767, 0.8948887586593628, 0.6765186190605164, 0.15866219997406006, -0.9558082222938538, -0.031258776783943176, -0.1402086764574051, 0.9293846487998962, -0.7805187106132507, -0.48706352710723877, -1.0200146436691284, -0.5914607644081116, -0.5979474782943726, 0.41870906949043274, -0.11272159963846207, -0.6478516459465027, -0.05587159842252731, -0.0573127306997776, 0.3828878700733185, 0.2363690733909607, -0.20087410509586334, 0.07489147782325745, 0.5410234928131104, 0.07520166784524918, -0.08013813942670822, 0.5452861189842224, 0.7501751780509949, 0.5016806721687317, -0.6168728470802307, 0.7880699634552002, 0.4088747501373291, -0.6641034483909607, 0.13268058001995087, -0.1708040088415146, -0.22380001842975616, 1.809829592704773, 0.946496307849884, 0.54742830991745, 0.6076406240463257, -0.48245155811309814, -0.34788885712623596, 0.3940809965133667, 0.4219721257686615, 0.042750608175992966, -0.30283322930336, -1.078410029411316, 0.2900674045085907, -0.42708590626716614, 1.6004459857940674, -0.8746210932731628, -0.09700379520654678, 0.40713709592819214, -0.3015333116054535, 1.1599069833755493, -0.23833408951759338, -0.3564576506614685, -0.5471245646476746, -0.4565952718257904, -0.8601434230804443, 0.0029525766149163246, -0.8280687928199768, -0.47198739647865295, 0.10100483894348145, 0.8696125745773315, 0.13357208669185638, -1.495996356010437, 0.42222920060157776, 0.07854371517896652, 0.15523198246955872, 0.5952152013778687, 0.5471299290657043, -0.3729972839355469, -1.297062873840332, -1.3891026973724365, 0.08252017945051193, 0.30202680826187134, -0.14424175024032593, -1.5306956768035889, 0.23835186660289764, -0.2271343469619751, -1.024953007698059, -0.42853033542633057, -0.11349339783191681, -1.5981076955795288, -0.22864818572998047, -0.5780428647994995, -0.11081232130527496, -0.08079571276903152, -0.12299828976392746, 0.27556106448173523, -0.3886413872241974, 0.6234618425369263, 0.6112377643585205, 0.401662677526474, -0.23397265374660492, -0.32068389654159546, -0.6762981414794922 ]
1,083
0704.1085
Teruhiko Kawano
Teruhiko Kawano, Hirosi Ooguri, and Yutaka Ookouchi
Gauge Mediation in String Theory
7 pages, 1 figure, harvmac. v2: references added and typos corrected
Phys.Lett.B652:40-42,2007
10.1016/j.physletb.2007.06.056
CALT-68-2642, UT-07-12
hep-th hep-ph
null
We show that a large class of phenomenologically viable models for gauge mediation of supersymmetry breaking based on meta-stable vacua can be realized in local Calabi-Yau compactifications of string theory.
[ { "created": "Mon, 9 Apr 2007 09:03:00 GMT", "version": "v1" }, { "created": "Wed, 11 Apr 2007 10:23:39 GMT", "version": "v2" } ]
2008-11-26
[ [ "Kawano", "Teruhiko", "" ], [ "Ooguri", "Hirosi", "" ], [ "Ookouchi", "Yutaka", "" ] ]
07
[ -0.37904998660087585, -0.7062013149261475, 0.17300450801849365, 0.13287432491779327, -0.9516091346740723, 0.5557220578193665, -0.20535583794116974, 0.0513744093477726, 0.20669123530387878, -0.3580302596092224, 0.5939037203788757, 1.2520899772644043, 0.9094259738922119, 0.5022048950195312, -0.32807669043540955, 0.740689754486084, 0.5916131138801575, -0.44604218006134033, -0.08055522292852402, 0.40253952145576477, 0.1090276911854744, -0.9011951088905334, -0.773760974407196, 0.2670091688632965, 0.3001983165740967, 0.34159815311431885, -0.30699241161346436, -0.566605806350708, -1.1469383239746094, -0.30253344774246216, 0.4808184802532196, 0.3475510776042938, 0.14390341937541962, -0.20600001513957977, -0.19783438742160797, -1.29505455493927, -0.2476935088634491, -0.40256282687187195, -1.0633957386016846, 0.7036503553390503, -1.3085756301879883, 0.757708728313446, -0.2291788011789322, 0.9698125123977661, 0.3602048456668854, -0.07336048036813736, -0.08489575237035751, 0.33860868215560913, -0.5892376899719238, 1.3402587175369263, 0.08570019900798798, 0.48282864689826965, 0.29705190658569336, -0.8122951984405518, 0.7313321828842163, 0.20151057839393616, -0.19203995168209076, -0.7237806916236877, -0.5806803703308105, -1.39359712600708, 0.059400733560323715, 0.7244493365287781, 0.08508129417896271, 0.5613707900047302, -0.9126542806625366, -0.578712522983551, -0.5927676558494568, 0.6763038635253906, 1.2503623962402344, -0.15415114164352417, -1.3495659828186035, 0.8593674302101135, -0.037092357873916626, -0.20945999026298523, -2.0279879570007324, -0.2076147347688675, 0.2475595623254776, -0.1685592383146286, -0.3914371728897095, -1.7365227937698364, 0.24169087409973145, -0.2290368676185608, -0.5810256004333496, -0.829052746295929, -1.0066733360290527, 0.2631414830684662, -0.6868757009506226, 0.10031745582818985, -0.5950084924697876, 1.1468820571899414, 0.6344475150108337, -0.5770479440689087, 0.611336886882782, 0.053039927035570145, 0.5289003849029541, -0.07398859411478043, -1.3118300437927246, 0.6821771860122681, -0.5683138966560364, -0.05320938676595688, 0.4443948566913605, 0.2957446873188019, 0.39116013050079346, -0.3731461465358734, 0.2708858251571655, 0.532318651676178, -0.35705044865608215, 0.4240889847278595, -0.16795790195465088, 0.2382591813802719, -0.7939216494560242, -1.5336575508117676, -0.3473348915576935, -0.7203189134597778, -0.5166909694671631, -0.535301923751831, 0.61794513463974, 0.14850156009197235, 0.3065395951271057, 0.3605293333530426, -0.5455546975135803, 0.5833216905593872, 0.128471240401268, 0.35896119475364685, 0.79848313331604, -0.8827757835388184, 0.6606191992759705, -0.784423291683197, -0.1034216582775116, 0.08335310965776443, 1.3200597763061523, -0.41712889075279236, -0.0651414543390274, -0.5675320029258728, -0.5170593857765198, 0.8919407725334167, 0.41785508394241333, -0.22549952566623688, 0.8370705842971802, 0.16233107447624207, 1.1691389083862305, -0.35050642490386963, -0.5781718492507935, 0.15289980173110962, -1.1422325372695923, 0.7004616260528564, 0.04843821004033089, -0.5123353004455566, -0.02464672550559044, 0.9028307795524597, -0.42142388224601746, -0.8308449983596802, -0.8786121606826782, 0.7588815093040466, -1.0945713520050049, 0.17754720151424408, -0.2532559037208557, 0.10823392122983932, 0.018233751878142357, 0.23382994532585144, -1.081596851348877, 0.10866942256689072, 1.7535876035690308, 0.32275035977363586, 0.3356890380382538, 0.3395020365715027, 0.06496653705835342, 0.6288017630577087, -1.1885449886322021, -0.8893574476242065, 0.16283908486366272, -0.8673068284988403, -0.9880913496017456, -0.094493068754673, 0.275821328163147, -0.5339869856834412, 0.03331434726715088, -0.3002549707889557, -0.8288332223892212, -0.46731409430503845, -0.043270278722047806, -0.5981985926628113, 0.4255818724632263, -0.022654317319393158, 0.5365360379219055, -1.5493065118789673, -0.06343583762645721, -0.43180447816848755, -0.5929065942764282, 0.02791646122932434, -0.6256022453308105, 0.3466414213180542, -1.83510422706604, 0.2628134489059448, 0.2700531482696533, 0.6129029393196106, 0.017064740881323814, -0.42807537317276, -0.2589244246482849, 0.9765729904174805, -0.06497925519943237, 0.3247756063938141, -0.9730839729309082, 0.8653655648231506, -0.4044557809829712, -0.11205943673849106, 0.7777346968650818, -0.3240096867084503, -0.3960394859313965, 1.2825977802276611, 0.44455981254577637, 0.20180292427539825, 0.7216019630432129, -0.708840548992157, -0.9187653064727783, 1.461498737335205, -0.25546565651893616, 0.14943096041679382, -0.7790442109107971, 0.4505220651626587, -0.16571195423603058, 0.08111841976642609, 0.5624098181724548, -0.32427746057510376, -0.26768332719802856, -0.1652175784111023, 0.6248573660850525, 0.8039180636405945, -0.3018874228000641, -0.24295824766159058, -0.6710216999053955, 0.03785936161875725, 1.0054126977920532, -1.1705360412597656, 0.09969715029001236, 0.6481256484985352, 1.1616884469985962, -0.09134020656347275, -0.5283318161964417, -1.2339228391647339, -0.9293034076690674, 0.12049832195043564, -0.22044041752815247, -1.3808717727661133, -0.7530189156532288, 0.10539533197879791, -0.6710554957389832, -0.415370374917984, -0.56280517578125, 0.4047193229198456, -0.8934218883514404, -0.2764710485935211, 0.560553252696991, -1.019524097442627, 0.5244966745376587, -0.16524888575077057, -0.2864251136779785, -0.15738151967525482, -1.1494941711425781, -0.15374110639095306, -0.6211237907409668, -0.04000203683972359, -0.040972404181957245, -0.8136693835258484, 1.2951605319976807, -0.7847456932067871, 0.641703188419342, -0.4395444989204407, -0.39294561743736267, 0.6589482426643372, -1.0979808568954468, 1.7266770601272583, 0.3687528073787689, 0.30375319719314575, 0.1868760883808136, -0.6270617246627808, -0.24930167198181152, 0.07418040186166763, -0.0903257206082344, -0.9856820702552795, -1.134333848953247, 0.6643797159194946, 2.0269737243652344, 2.03635835647583, 0.06961803138256073, -0.5855249762535095, -0.24501238763332367, -0.3009132742881775, 0.882880687713623, -0.19572998583316803, 0.6330325603485107, 0.05995488911867142, 0.39420804381370544, -0.15937645733356476, 0.19102035462856293, 0.027359096333384514, 0.5320995450019836, -0.8648684024810791, 1.141720175743103, -0.21765075623989105, -2.0925707817077637, -0.3710494935512543, -0.7228620052337646, 0.010173346847295761, -0.4499509334564209, -0.1511376053094864, 0.32715940475463867, 0.08193536102771759, -0.26591014862060547, -0.20755185186862946, 0.5384834408760071, 0.3420805335044861, 1.6439213752746582, 1.2690874338150024, -0.33696773648262024, -0.6745741963386536, 1.0702437162399292, 0.32684314250946045, -1.4319684505462646, 1.1246269941329956, -0.04842336103320122, 0.5601075291633606, 3.0086140632629395, -1.6573491096496582, -1.169248104095459, -0.7418566346168518, -0.9456311464309692, -0.6366329193115234, -0.3399294912815094, 0.5692492723464966, -0.5791164040565491, 0.1260886937379837, 1.4087848663330078, 1.3530592918395996, 0.6404368877410889, -0.03157252445816994, -0.4948945939540863, -0.6583932638168335, 0.7725221514701843, -0.579556405544281, -0.4761413037776947, 0.8162803649902344, 0.022197801619768143, 0.6337276697158813, 0.5050210356712341, -0.016450252383947372, -0.01965479552745819, -0.6134868264198303, -2.1885986328125, -0.10418561100959778, -1.3236595392227173, -0.4728670120239258, 1.936876893043518, 0.2245824784040451, 0.00996571034193039, 0.15487352013587952, 0.5948137640953064, -0.2402457594871521, -0.307030588388443, 0.8356379270553589, 0.6365828514099121, 1.6871904134750366, 0.6851896643638611, 0.17319679260253906, 0.8426832556724548, 0.9469612240791321, -0.36797967553138733, -0.08424738049507141, -0.7751446962356567, -0.04462787136435509, -1.0523347854614258, -0.41891083121299744, -1.2816892862319946, -1.1124132871627808, -0.6612623929977417, 0.18497823178768158, -0.3878801465034485, -0.5873910188674927, 0.27916380763053894, 0.21123036742210388, -1.1728601455688477, 1.4458017349243164, 0.897678017616272, -0.407928466796875, -0.08738921582698822, 0.2192322164773941, 0.6101852655410767, -0.13326743245124817, -0.8240724205970764, 1.0007638931274414, 0.5900086760520935, -0.5235234498977661, -0.07050265371799469, -0.6336435079574585, -0.25445908308029175, -0.37077808380126953, 0.5881369709968567, 0.8737282156944275, 0.7752734422683716, -0.7032907605171204, -0.24456645548343658, 0.30696550011634827, -0.07192396372556686, 0.5178046822547913, -0.20866870880126953, -1.2758543491363525, 0.0347367562353611, 0.5470983386039734, -0.5692983269691467, -1.0006388425827026, 0.8122922778129578, 2.052027463912964, 0.26417237520217896, 0.7157471179962158, 1.0751696825027466, -0.2635378837585449, -1.4263108968734741, -0.8844893574714661, -0.501966118812561, 1.7543296813964844, -0.49724459648132324, -0.3671392500400543, -0.9289066791534424, 1.8705618381500244, -1.0841889381408691, 0.09942305088043213, -1.3209902048110962, -0.04564569890499115, 0.05064445734024048, 0.32365211844444275, -0.4684968888759613, -1.1938738822937012, 0.024418963119387627, -0.43238577246665955, 0.15729068219661713, -0.21420587599277496, -0.6886633038520813, 0.5654986500740051, -0.07676783949136734, 0.0859082043170929, 0.8888158798217773, 0.9295157790184021, -0.37179169058799744, -0.1816108226776123, 0.274264395236969, 0.8661538362503052, 1.5772590637207031, 0.0340222492814064, -1.383867859840393, 0.4115670323371887, -0.6431688666343689, -0.47431161999702454, 0.510450005531311, 0.8921551704406738, 0.20539288222789764, 0.18505659699440002, 1.355547308921814, -0.04802057892084122, -0.2998560965061188, 1.2592899799346924, 1.37769615650177, 0.3937733471393585, 0.5774223208427429, -0.5380190014839172, 0.7388982772827148, -0.5772903561592102, 0.23246131837368011, -0.21080444753170013, -0.5742779970169067, -0.16581816971302032, -0.20315082371234894, -0.16028913855552673, -1.6801141500473022, 0.03379400819540024, -0.5476660132408142, -1.102890133857727, 0.8946871757507324, -0.33216291666030884, 0.7413984537124634, 0.020098360255360603, 0.6165556311607361, 0.5891371369361877, -0.1273891031742096, -0.5464474558830261, 0.34839949011802673, 2.1731436252593994, -0.2529943287372589, -0.0807461366057396, -0.07248715311288834, -1.521162748336792, -0.6467790603637695, 0.20880690217018127, 0.06479356437921524, 0.3931974172592163, -0.41457220911979675, 0.3136765956878662, -0.26215821504592896, -0.4817129373550415, -0.42154237627983093, 0.4933302104473114, 0.2931906580924988, -0.1108349934220314, -0.32017621397972107, -0.8386685848236084, -1.1623703241348267, 0.7443801164627075, -0.5247565507888794, 1.2086020708084106, -0.7495266795158386, 2.1753737926483154, -0.7188073992729187, 0.3543921113014221, -0.5528588891029358, -0.1330176442861557, 0.9129156470298767, 0.005187773145735264, -0.6039929986000061, -2.3006980419158936, 0.9892284870147705, 0.6658881306648254, 0.003937765024602413, -0.24211455881595612, -0.16873733699321747, -0.16109435260295868, 1.2446638345718384, 0.5693755149841309, 0.11028002202510834, -0.5486822128295898, -0.05086177960038185, 0.9711975455284119, 0.36747053265571594, 0.684232234954834, 0.20018640160560608, -0.3126460909843445, -1.3288310766220093, -0.26218143105506897, -0.3719720244407654, -0.09620185941457748, -0.06738018244504929, 0.04747059568762779, 0.24624775350093842, 0.7959626913070679, -0.22822389006614685, -1.6014608144760132, 0.4103842079639435, -0.3574444353580475, 0.32581064105033875, -0.04878395050764084, 0.1173817440867424, 0.536486804485321, 0.6815481185913086, -0.09964044392108917, 0.20881731808185577, 0.05497152358293533, -0.1751462072134018, -0.19755396246910095, -7.223196983337402, 0.07465692609548569, 0.31896770000457764, -0.6054103374481201, 0.27219483256340027, 0.7249624729156494, -0.35284423828125, -0.04064474627375603, 0.16477185487747192, 0.900082528591156, -0.028836455196142197, -0.4953467547893524, 1.1486471891403198, -0.851200520992279, 1.3649109601974487, -0.25721392035484314, -1.2004910707473755, 0.24282224476337433, 0.17934374511241913, -0.3032132387161255, -1.567803144454956, -0.03731733188033104, -0.4201781451702118, -0.007075623143464327, 0.9446992874145508, -0.603312611579895, 0.2987900674343109, 0.24273298680782318, 0.6668021082878113, -0.7321411967277527, -0.5257307291030884, -0.19583040475845337, -0.9411330819129944, -1.4243844747543335, 0.17792701721191406, -0.6381034255027771, -1.2707380056381226, 0.11308425664901733, -0.19371113181114197, 0.5885475277900696, -0.1437625139951706, 0.465004026889801, -0.3009449243545532, 0.09405892342329025, -0.13328517973423004, 1.4890269041061401, 0.867245614528656, -0.4557798504829407, 0.5839813947677612, 0.22333554923534393, -1.6773749589920044, -1.2314867973327637, 0.32662492990493774, -1.6370012760162354, -1.0473471879959106, 0.02869671955704689, -0.5269587635993958, -0.47238680720329285, -0.48908132314682007, -0.32162898778915405, 0.2351618856191635, -0.6725804209709167, 0.6730919480323792, 0.16956301033496857, 0.9934592843055725, -0.6983630061149597, 0.2539418041706085, -0.6978210210800171, 0.64869624376297, 0.03128485009074211, -1.2708384990692139, 0.4183952212333679, 2.2114200592041016, -1.2770363092422485, -1.424735426902771, -0.4204629957675934, -0.771401047706604, 1.6044150590896606, 0.39023134112358093, -1.0452570915222168, -0.2663268446922302, -0.6242474317550659, 0.4221471846103668, -0.2984260320663452, -0.10498492419719696, -1.1046780347824097, 0.028895242139697075, -0.34908145666122437, 0.8140881657600403, -0.49420180916786194, -0.0750022679567337, 0.16699394583702087, 0.10967466980218887, -1.4779887199401855, 0.1422198861837387, -1.433777093887329, -0.2029520720243454, -0.24640141427516937, -0.019986238330602646, -0.4478135108947754, -0.62016761302948, 0.3775559961795807, -0.14331722259521484, -0.39645037055015564, -0.08549385517835617, -0.1585400104522705, -1.2159713506698608, 0.1370214819908142, 0.14166772365570068, -0.32611891627311707, -1.6704955101013184, 0.3532698154449463, -0.716036856174469, -0.9351882338523865, 0.7042033076286316, -0.23681390285491943, 0.009355397894978523, 0.8927313089370728, 0.6024581789970398, -0.8685680627822876, -0.18052148818969727, -0.8362401127815247, 0.8160120844841003, -0.2520304322242737, -0.7473199963569641, -1.2970787286758423, -0.4831380546092987, -0.25794070959091187, -0.1911773383617401, 0.6270846724510193, -1.17326021194458, 0.3871842622756958, 2.1112678050994873, 0.5707486271858215, -0.3207138478755951, -1.1965783834457397, 1.1053534746170044, 0.28887617588043213, 0.7245852947235107, -0.136227086186409, 0.6130692362785339, -0.07347732782363892, 0.6176429986953735, -0.46517735719680786, 0.7231889963150024, -0.48497653007507324, -1.8120275735855103, -0.4989869296550751, 0.390929251909256, -0.5056129693984985, 0.6243069171905518, 0.2128739058971405, 0.7466058731079102, 0.6281530261039734, 0.18739484250545502, -0.4396221935749054, -0.6114184856414795, -0.4572697877883911, 0.4118809103965759, -0.7342017889022827, 1.4341288805007935, 0.6043234467506409, 0.15643171966075897, 1.2749119997024536, -0.5554677248001099, 0.8196694850921631, 0.6876192688941956, 0.5927858352661133, -0.6031811237335205, 1.1391520500183105, -0.33032819628715515, 0.26114121079444885, -1.5709631443023682, -0.18400417268276215, 1.1733524799346924, 0.36707308888435364, -0.2298489362001419, -0.1841394156217575, -0.5811979174613953, -1.557992935180664, 0.39514270424842834, -0.45495977997779846, 0.1818067878484726, 0.17373089492321014, 0.5924685597419739, 1.149573564529419, -0.0015858267433941364, 0.05315650999546051, -0.3690955340862274, 1.4538501501083374, -0.20134344696998596, -0.09720564633607864, 1.0168336629867554, 0.5823392271995544, -0.4032445549964905, 0.08309578895568848, -0.027958659455180168, 1.002864956855774, -1.2055412530899048, -1.0163342952728271, 0.12984783947467804, -0.611870288848877, 0.3199153244495392, -0.7440147995948792, -0.2394929677248001, -0.9295352697372437, 0.30637499690055847, -0.02282755821943283, 0.9447024464607239, -1.3584344387054443, -0.2980619966983795, 0.457525372505188 ]
1,084
0704.1086
Siddhartha Sinha
K.G. Arun, Bala R. Iyer, B. S. Sathyaprakash, Siddhartha Sinha
Higher harmonics increase LISA's mass reach for supermassive black holes
minor corrections made
Phys.Rev.D75:124002,2007
10.1103/PhysRevD.75.124002
null
gr-qc astro-ph
null
Current expectations on the signal to noise ratios and masses of supermassive black holes which the Laser Interferometer Space Antenna (LISA) can observe are based on using in matched filtering only the dominant harmonic of the inspiral waveform at twice the orbital frequency. Other harmonics will affect the signal-to-noise ratio of systems currently believed to be observable by LISA. More significantly, inclusion of other harmonics in our matched filters would mean that more massive systems that were previously thought to be {\it not} visible in LISA should be detectable with reasonable SNRs. Our estimates show that we should be able to significantly increase the mass reach of LISA and observe the more commonly occurring supermassive black holes of masses $\sim 10^8M_\odot.$ More specifically, with the inclusion of all known harmonics LISA will be able to observe even supermassive black hole coalescences with total mass $\sim 10^8 M_\odot (10^9M_\odot)$ (and mass-ratio 0.1) for a low frequency cut-off of $10^{-4}{\rm Hz}$ $(10^{-5}{\rm Hz})$ with an SNR up to $\sim 60$ $(\sim 30)$ at a distance of 3 Gpc. This is important from the astrophysical viewpoint since observational evidence for the existence of black holes in this mass range is quite strong and binaries containing such supermassive black holes will be inaccessible to LISA if one uses as detection templates only the dominant harmonic.
[ { "created": "Mon, 9 Apr 2007 09:30:38 GMT", "version": "v1" }, { "created": "Tue, 5 Jun 2007 08:30:21 GMT", "version": "v2" } ]
2008-11-26
[ [ "Arun", "K. G.", "" ], [ "Iyer", "Bala R.", "" ], [ "Sathyaprakash", "B. S.", "" ], [ "Sinha", "Siddhartha", "" ] ]
07
[ -0.820582389831543, -0.034911178052425385, 1.286374807357788, -1.4780616760253906, -1.056401014328003, 0.15636254847049713, -0.07270550727844238, -0.6617531776428223, -0.704416036605835, -0.8388952016830444, 0.13570527732372284, -0.29583030939102173, 0.9367192387580872, 0.2923172116279602, -0.3871396780014038, -0.6481285095214844, -0.4198722541332245, -0.6326392292976379, 0.6429709196090698, 0.42097198963165283, 0.5582484006881714, -0.49576589465141296, -0.2901318371295929, 1.0190179347991943, 0.04282953590154648, -2.172650098800659, -0.28521502017974854, -0.33939361572265625, 0.07082239538431168, -1.0337774753570557, 0.6061197519302368, 0.2647426426410675, -0.7432996034622192, -0.17365959286689758, -0.5248258113861084, -0.2179204672574997, -0.08891908079385757, 0.5183537602424622, -1.3176319599151611, -0.5498199462890625, -1.8464702367782593, -0.5565650463104248, 0.6457743048667908, 0.4417208135128021, 0.1693262755870819, 0.4221819043159485, -0.8568559885025024, 0.05995000898838043, 0.3193584084510803, 1.91331148147583, 0.605789065361023, 0.1609564572572708, -1.4947806596755981, 0.8916182518005371, -0.3084968328475952, 0.2779756486415863, 0.9608179926872253, -0.298500657081604, 0.22995400428771973, -0.011053288355469704, -0.515433132648468, -0.6364297270774841, -0.7118322849273682, 0.7012739777565002, -1.2069602012634277, 0.5626534819602966, -0.4407186806201935, 0.7763382792472839, 0.6089253425598145, -0.104924276471138, -0.4414712190628052, -0.4957934319972992, 0.3224370777606964, -0.2026883363723755, -2.2017762660980225, -0.6786457300186157, 0.4424287676811218, -0.4702836573123932, -0.4149954617023468, -1.0720785856246948, 0.3438234329223633, 1.0072762966156006, 0.3018166720867157, -1.177245855331421, 0.43255922198295593, -1.0196014642715454, 0.06913867592811584, 0.5884108543395996, -0.27544939517974854, 0.5146546959877014, -0.3438411355018616, 0.12001756578683853, -0.8630374073982239, 1.1927505731582642, 0.9076192378997803, -0.1440509557723999, 0.027236884459853172, 1.122869610786438, 0.09243430197238922, 0.18901394307613373, 0.2191506028175354, -0.03764621913433075, 0.8486464023590088, -0.2843296527862549, -0.12213848531246185, -0.2637205719947815, -0.4434860646724701, 0.3197996914386749, -0.08217627555131912, -0.6358148455619812, 0.206569641828537, -1.390378713607788, 0.5356553792953491, 0.7427507638931274, 0.07065341621637344, -0.4553479552268982, -0.07911117374897003, 0.3997544050216675, -0.5319026112556458, -1.6989315748214722, -1.8133573532104492, 0.3935929238796234, -0.8067466020584106, 0.09981714189052582, 1.57294762134552, -0.7581326961517334, 1.181437373161316, 0.2369164079427719, 0.047677528113126755, -0.7449747920036316, -0.3573441505432129, -0.06506026536226273, -0.1895001083612442, 0.10794718563556671, -0.3551892340183258, -0.8905077576637268, -0.575128972530365, -0.2870388329029083, 1.1871649026870728, 0.194877490401268, -1.0149450302124023, -0.47898563742637634, -0.5011923909187317, 0.9754518866539001, 0.15765763819217682, 0.5524658560752869, 0.8340441584587097, 0.9016014933586121, 1.0670121908187866, -0.6267051100730896, -0.13749127089977264, -0.7683472633361816, 1.0399887561798096, -0.3563271462917328, -0.0365239642560482, -0.45477911829948425, 0.4908674359321594, 1.7903759479522705, 0.4244747757911682, 0.8763272166252136, -0.5956416726112366, 0.8813040256500244, 1.7442867755889893, -0.6045279502868652, 0.6728106737136841, -0.2707337439060211, 1.852745771408081, -0.5518637299537659, 0.002192689338698983, 0.17823664844036102, -1.0934330224990845, -0.004318000748753548, 0.44187822937965393, 1.037915587425232, -1.6784262657165527, -0.18827086687088013, -0.7789044976234436, -0.6508451700210571, -0.34473666548728943, 0.6988158226013184, 0.9735570549964905, -0.9721353650093079, -0.5035538077354431, -1.2579467296600342, 0.24936853349208832, 0.21758970618247986, 0.8699057102203369, -0.9861351251602173, 0.7265570759773254, 0.34418976306915283, -0.24070203304290771, -0.5571118593215942, -1.1190892457962036, 1.126037836074829, -0.19700291752815247, -0.9112986922264099, -0.8944976329803467, -0.2713240087032318, -0.12316859513521194, 0.2907980978488922, -1.0744824409484863, 0.4004831910133362, 0.35197484493255615, 0.5982856154441833, -0.16160188615322113, -0.7675416469573975, -0.9228812456130981, 1.676993489265442, -0.045038897544145584, 0.12227607518434525, 0.10405373573303223, 0.6577169299125671, 0.34483015537261963, -0.31871166825294495, -0.7745155692100525, -0.020693983882665634, 0.2919897437095642, -0.5869612097740173, -0.5493355393409729, 0.24786311388015747, 0.2627250850200653, 1.1095877885818481, 1.5784759521484375, -0.5565701723098755, 0.10765562951564789, 1.7335609197616577, 0.3794345259666443, 0.05883028358221054, -0.8555006384849548, 1.2164477109909058, 0.41142287850379944, -0.6861013174057007, -1.5316556692123413, -0.18252938985824585, 0.41510143876075745, -0.18339323997497559, 0.03623589873313904, 0.763258159160614, -1.0698657035827637, -0.03450022637844086, -0.3231646716594696, 0.5096673965454102, 0.11397907882928848, 1.738922119140625, 0.8483993411064148, 0.4617365598678589, 0.42345690727233887, -0.14022904634475708, -0.11428551375865936, 0.8329061269760132, -1.1916874647140503, 0.04686279594898224, -0.23420372605323792, 0.3051111698150635, -0.10923484712839127, -0.8686572909355164, 0.6182732582092285, -1.3758395910263062, -0.5730164647102356, 0.15373170375823975, 0.20703846216201782, 0.8392062187194824, 0.7067908048629761, 0.4183363914489746, -0.6624963283538818, -1.0103363990783691, -0.39590558409690857, -0.46704721450805664, 0.17618420720100403, -0.099484384059906, -1.0964469909667969, 1.2729495763778687, 1.954341173171997, 0.6398715972900391, 0.03618163987994194, 1.6452088356018066, 0.2743292450904846, -0.7877979278564453, -0.5516723394393921, 0.019831737503409386, -0.8194753527641296, -0.2164604216814041, 1.8714724779129028, 0.712117612361908, 0.3067319095134735, -0.8518479466438293, 0.9841240048408508, 0.787456214427948, 1.2469967603683472, -0.6371914744377136, -0.012144742533564568, -0.7115045189857483, 0.6947628259658813, 1.228725552558899, -0.5045264959335327, 0.23933731019496918, -0.9125548601150513, -0.5190622806549072, 1.0862839221954346, 0.6947240829467773, 0.278496116399765, -0.23623470962047577, -0.19477640092372894, -0.7066619992256165, 0.6836755871772766, -0.17092987895011902, -0.6390011310577393, 1.3083969354629517, 0.3144364356994629, -0.6630582213401794, -0.4134398400783539, -0.18466566503047943, -0.29949408769607544, 0.060375798493623734, -0.04112560674548149, 1.6409428119659424, -0.3632035553455353, 0.09272018820047379, 0.02044730819761753, -0.2419421672821045, -0.7780866622924805, 0.7841841578483582, -1.4640330076217651, -1.223984718322754, 0.5905861854553223, -0.5730695724487305, 0.4776482582092285, -0.500949501991272, 0.1697615385055542, 0.6322731971740723, -0.7912552356719971, 0.2994593679904938, 0.12817640602588654, 1.5782074928283691, -0.6144735813140869, 0.29054737091064453, -0.25524863600730896, 0.05636684224009514, -0.051896244287490845, 0.5180166363716125, 0.09958507120609283, 1.0074349641799927, 0.041924986988306046, 1.5003697872161865, -0.2103234827518463, 0.08642029017210007, -0.922764003276825, -0.5628634095191956, 0.33481264114379883, 0.2449183166027069, -0.7358618378639221, 0.6243678331375122, 0.0544433631002903, 0.2564544379711151, 1.2949366569519043, 0.775739848613739, 0.42896533012390137, 0.055935535579919815, -0.4301721751689911, -0.23369906842708588, -0.22693710029125214, -0.7186436653137207, 0.90949547290802, -0.20556436479091644, -0.11730536818504333, 0.8335062861442566, 0.1186409518122673, -0.277487576007843, 1.0007206201553345, 0.3351786732673645, -2.124157428741455, 0.2426041066646576, 0.3160877823829651, -0.7029238939285278, -0.39523524045944214, 0.46780771017074585, 0.6464818716049194, -0.7184717059135437, 1.3672677278518677, -0.07873332500457764, -1.174873948097229, 0.004657015670090914, 0.45120787620544434, 0.23900234699249268, 0.5453304648399353, 0.21465478837490082, -0.5072303414344788, 0.3687191903591156, -0.8653493523597717, 0.0577268972992897, 0.04891263693571091, -0.4537162184715271, 0.2492184042930603, 0.2972143888473511, 0.48010751605033875, 0.008617746643722057, -0.14436079561710358, 0.5403531193733215, 0.2782384157180786, -0.9194138050079346, -0.3571857213973999, 0.30786773562431335, 0.8971192836761475, -0.913975715637207, -0.7555871605873108, -0.7858571410179138, -0.24523712694644928, -1.0005946159362793, 0.17623481154441833, -0.7123733162879944, 0.3583897054195404, -0.8452973961830139, -0.2970972955226898, -0.6552419662475586, -1.221975564956665, -0.2558145225048065, -1.2567377090454102, 0.15321218967437744, -0.8938910961151123, -0.11104288697242737, 0.3292515277862549, -0.27804550528526306, -0.13475243747234344, -0.9260823726654053, -0.19882836937904358, 0.5045271515846252, -0.6777578592300415, -0.7028652429580688, 0.09084363281726837, -0.1243993490934372, -0.4311122000217438, 0.04013177379965782, 0.18080569803714752, 0.14044807851314545, 0.3185977637767792, 0.3003552556037903, 0.905381977558136, -0.020278265699744225, 0.29382526874542236, 0.10987956076860428, -0.5128147006034851, -0.5069835782051086, -1.1449744701385498, -1.2003690004348755, -1.6502091884613037, 0.5736650228500366, 0.40798699855804443, 1.5421580076217651, -0.8491951823234558, 0.7226832509040833, 0.6906825304031372, 0.677319347858429, 0.21892522275447845, 0.270794153213501, 0.13063527643680573, 0.2712472677230835, -0.32891857624053955, -0.2259366512298584, -1.1484606266021729, -0.7156280875205994, -0.061730362474918365, 0.49482449889183044, -0.37155428528785706, -1.5358564853668213, -0.41103553771972656, -0.31479358673095703, -0.2075512558221817, -1.0273866653442383, -0.27244052290916443, -1.6367709636688232, 0.9980806112289429, -0.5265457034111023, -0.6136488318443298, -0.6647142767906189, -1.0652704238891602, 0.04972446337342262, -0.5313376784324646, -0.14541330933570862, -0.0627816841006279, -0.9202853441238403, -0.39441120624542236, 0.5574840307235718, -0.7160804867744446, -0.34647512435913086, -0.9023168683052063, -0.772592306137085, 0.10413748770952225, -0.26436764001846313, -0.6261500716209412, -0.2756688594818115, -0.20720398426055908, -0.2786351442337036, 0.08936071395874023, 1.310308575630188, -1.0987622737884521, 0.6193493008613586, -0.10320772230625153, -0.17679700255393982, -0.07089695334434509, 0.38393810391426086, 0.35633930563926697, -1.2160418033599854, 0.26047614216804504, -0.4556218385696411, -0.5467658042907715, 0.401542603969574, 0.7165395617485046, 1.58295476436615, -0.4396366477012634, 0.3573196828365326, -0.5086815357208252, 1.495094656944275, 0.5829744935035706, 0.2178163081407547, 1.281558632850647, -1.6377660036087036, 0.9347758889198303, -1.6878005266189575, 0.5405139923095703, -2.0982775688171387, 0.8823833465576172, 0.5257700681686401, -0.05942375585436821, 0.8323004245758057, -0.5092410445213318, 0.5360109806060791, -0.48723307251930237, 0.9391671419143677, -0.3306257128715515, 0.9839494824409485, 0.32013899087905884, 0.7308487892150879, 0.22716891765594482, -1.2997184991836548, -0.8229189515113831, -1.9484455585479736, 0.08019903302192688, 0.40297725796699524, -0.33797788619995117, 0.10297106951475143, -0.5310978293418884, -1.3537300825119019, -0.05093977600336075, 0.15175561606884003, 0.9037976264953613, -0.1518561840057373, -0.3873457908630371, -0.14210903644561768, -1.4250274896621704, -0.6621343493461609, -1.1460613012313843, 0.031062249094247818, 0.4507538378238678, 0.506523847579956, -1.0288803577423096, -0.7380120158195496, -6.4276838302612305, -0.23125119507312775, 0.07655106484889984, -0.5963622331619263, 0.9162490367889404, -0.6515654921531677, 0.20963625609874725, -0.3070805072784424, 0.29724618792533875, 0.3736937344074249, 1.119590401649475, -0.07235302031040192, -1.4614081382751465, 0.6679221391677856, -0.6392055749893188, 0.05024397745728493, 0.3200748562812805, 0.03986667841672897, 1.0915420055389404, 1.5004246234893799, 0.8247727751731873, 0.5929294228553772, 0.18997852504253387, 0.17283406853675842, 0.13867175579071045, -0.4739569127559662, 0.20669645071029663, 1.0124551057815552, -0.14276914298534393, 1.1907974481582642, -0.4262079894542694, 1.747064471244812, 0.3092045187950134, -0.8249000906944275, -0.07812736928462982, -0.2118678241968155, 0.05045353248715401, 0.12108703702688217, 0.5154975652694702, -0.4175822138786316, 0.33856916427612305, 0.4485228955745697, 0.17592279613018036, 0.006703393068164587, -0.8657249212265015, 0.6266856789588928, -0.1339973360300064, 0.2690441608428955, 0.5996094346046448, 0.9015447497367859, -1.7295937538146973, -1.1795300245285034, 0.6813976764678955, -0.2812785506248474, -0.8400200009346008, 0.16384951770305634, -0.8302255272865295, -0.21734002232551575, 1.3267686367034912, -0.705595076084137, 0.6099767088890076, -0.0017101026605814695, -0.6140031218528748, 0.5174709558486938, 1.48727548122406, -0.2535291016101837, -0.706254780292511, -0.05806246027350426, 0.5494013428688049, 0.682017982006073, 0.5822550654411316, -1.228478193283081, -0.2814980447292328, 0.18657870590686798, 1.0198522806167603, 0.1828896701335907, -0.39754393696784973, 1.7872101068496704, 0.12347583472728729, -0.6611297726631165, -0.15521715581417084, 0.23013348877429962, -0.4053712487220764, -0.7480013966560364, -1.6951910257339478, -0.5346783995628357, -0.19272814691066742, -0.15453509986400604, -0.9202558994293213, -1.4090553522109985, 0.5791680216789246, -1.815943717956543, -0.09399069100618362, -0.6453784108161926, 0.7557430863380432, 0.38995465636253357, 0.7406870126724243, -0.1939464658498764, 0.22223493456840515, -1.0324487686157227, -0.6817665696144104, -0.35685083270072937, -0.16176779568195343, -0.16111773252487183, 0.3188605010509491, -1.7402021884918213, 0.13058072328567505, -0.5168687105178833, -0.5324763655662537, -2.0779836177825928, -1.7248706817626953, -1.1568753719329834, -1.5702903270721436, 0.6498451232910156, 0.832750678062439, -1.2617541551589966, 0.012532707303762436, -0.8913833498954773, -0.285568505525589, -0.706804633140564, 0.3522164523601532, 2.092374563217163, -1.3755075931549072, 0.7617352604866028, -0.2818419933319092, -1.3818429708480835, 1.2737674713134766, 0.17858274281024933, 0.6700132489204407, -0.7254683971405029, -0.48810622096061707, -1.2565882205963135, -1.239033818244934, -0.5491194725036621, -0.11563203483819962, 1.1764801740646362, 0.4180745780467987, -1.3108097314834595, -0.39973899722099304, 0.33483627438545227, -0.3535878360271454, 0.11829159408807755, -0.23833802342414856, 0.9055780172348022, 0.05260155349969864, -0.5166298151016235, -0.015799716114997864, 0.7450177669525146, -0.21533600986003876, -0.30166757106781006, -0.6733683943748474, -1.2937778234481812, -1.5273020267486572, 0.813258707523346, -0.30831512808799744, 0.21178798377513885, -1.361578345298767, -0.3331039845943451, -0.22751367092132568, 0.24770520627498627, 1.4874945878982544, 0.10209202766418457, 0.5574454069137573, 0.027884457260370255, 1.7172328233718872, -0.07200953364372253, 0.1362660676240921, 0.899154543876648, -0.587009072303772, 0.575846791267395, -0.16260454058647156, 0.3621234595775604, -0.25512751936912537, 0.018716271966695786, 0.32832789421081543, 0.43117210268974304, 0.42494866251945496, 0.03346208482980728, -0.3405849039554596, -0.6793146729469299, 1.3342806100845337, 0.06155996397137642, -0.2328951358795166, 0.6682933568954468, -1.0855523347854614, 0.7134812474250793, -1.0963101387023926, 1.5561715364456177, -0.3502373695373535, 0.8932995796203613, -0.19666072726249695, -0.196193128824234, 0.04615132510662079, 0.5387327671051025, -0.022104261443018913, -0.9298400282859802, 0.218279629945755, -0.6579910516738892, -0.036559607833623886, -0.39888662099838257, 0.4155811071395874, 1.2041020393371582, 0.6549327969551086, -0.016862498596310616, 0.421548992395401, 0.025302430614829063, 0.336550235748291, 1.1236847639083862, -0.16334222257137299, -0.039459556341171265, -0.5793737173080444, -0.7598478198051453 ]
1,085
0704.1087
Doron Cohen
Doron Cohen
EPR, Bell, Schrodinger's cat, and the Monty Hall Paradox
6 pages
null
null
null
quant-ph
null
The purpose of this manuscript is to provide a short pedagogical explanation why "quantum collapse" is not a metaphysical event, by pointing out the analogy with a "classical collapse" which is associated with the Monty Hall Paradox.
[ { "created": "Mon, 9 Apr 2007 17:33:20 GMT", "version": "v1" } ]
2007-05-23
[ [ "Cohen", "Doron", "" ] ]
07
[ -0.9168611168861389, -0.8164991140365601, 1.008803367614746, -0.5845562815666199, 0.9744867086410522, -0.6296301484107971, 0.06433221697807312, -0.38009536266326904, -0.20063479244709015, 0.23703119158744812, 0.3359230160713196, 0.1622757613658905, 0.5115516781806946, 0.35769933462142944, 0.1254928708076477, -0.4892429709434509, 0.15561553835868835, -0.8702106475830078, -0.5887731909751892, 0.29177990555763245, -0.5223775506019592, -0.08083458989858627, -1.4200091361999512, -0.26127511262893677, 0.20116981863975525, -0.4526434540748596, 0.2605762481689453, 0.670956552028656, -0.3513686954975128, 1.2483985424041748, -0.5523062348365784, -0.09630496799945831, -0.2967035472393036, -0.2997559905052185, 0.21207129955291748, -0.07834050804376602, 0.8277767300605774, -1.1498894691467285, -0.9181809425354004, 0.31131887435913086, -0.5978750586509705, 0.756995439529419, -0.08688250929117203, 0.7460556626319885, 0.28584209084510803, 0.49612942337989807, 0.5139896273612976, -0.7487744688987732, 0.24446991086006165, 0.9131372570991516, -0.2910448908805847, -0.43847110867500305, -0.401014119386673, 0.5887770652770996, 0.17548589408397675, 0.4082823693752289, 0.5111767053604126, 0.22331133484840393, -0.8039662837982178, 0.24812465906143188, -0.42274826765060425, -0.2420569509267807, 0.2830342650413513, 0.4082852303981781, -1.01438570022583, 0.328355073928833, 0.9709948897361755, -0.5676249265670776, 0.09255384653806686, 0.16405892372131348, 0.7003637552261353, -0.17947301268577576, -0.7274149060249329, -0.06859225034713745, 0.3513592779636383, -1.2477045059204102, -0.20736326277256012, -0.2479219138622284, 0.8800005316734314, -0.6008548736572266, 0.7002101540565491, 0.5430266261100769, -0.27263787388801575, -0.48632338643074036, -0.292377233505249, 1.4121211767196655, -0.36615845561027527, -1.0539127588272095, -0.20870597660541534, 0.3750624358654022, 0.6399437189102173, -1.2099496126174927, -0.17774848639965057, -0.5481905341148376, -1.1155908107757568, 0.16224409639835358, 0.3471769690513611, 0.02174537628889084, 0.22848208248615265, 0.632300078868866, 0.6940069794654846, 0.548919141292572, -0.15473781526088715, 0.4741494059562683, 0.10490306466817856, -0.2899019420146942, 0.05441673845052719, -0.8633367419242859, -0.18181554973125458, -0.5229933261871338, 0.15922901034355164, -1.8032413721084595, -1.0357695817947388, 0.2680196166038513, -0.43500038981437683, 0.5291292667388916, 0.03503117337822914, -0.17527629435062408, 0.5918645262718201, -0.10311099886894226, 0.1983436793088913, 0.41967809200286865, -0.5320234298706055, -0.11383433640003204, 0.17632903158664703, 0.491680383682251, 0.9367032051086426, -0.6427509784698486, 0.15339872241020203, 0.09689740836620331, -0.75495445728302, -0.49584847688674927, -1.0150868892669678, -0.14824943244457245, -0.37952789664268494, -0.0595560222864151, -0.15507936477661133, -0.17746487259864807, -0.2503904700279236, -0.08259040862321854, 0.3195306956768036, 0.9522311091423035, -0.13154883682727814, -1.195831060409546, -0.7980895638465881, 0.9982866048812866, -0.7610973119735718, -0.34335091710090637, -0.36145880818367004, -0.001376418280415237, -0.9167945981025696, -0.2222856730222702, -0.3717600405216217, -0.0030189217068254948, -0.750684380531311, -0.9258652329444885, 0.24827662110328674, 0.45195698738098145, 0.5123928785324097, 0.08208482712507248, 0.21047580242156982, -0.062462128698825836, 0.3557802438735962, 0.8088578581809998, -0.33491796255111694, -0.8294505476951599, -0.8164452314376831, 0.10741697251796722, -0.3776693642139435, -0.025372935459017754, -0.7485948204994202, 0.22589439153671265, -0.7412896156311035, 0.8420976996421814, 0.4627847373485565, -1.1141504049301147, 0.8910364508628845, -1.1086293458938599, -0.42721691727638245, 0.8964852690696716, 1.309635877609253, -0.15075859427452087, -0.8394318222999573, 0.09713682532310486, 0.34725770354270935, -1.2980815172195435, 0.41209617257118225, 0.21177133917808533, -0.09867073595523834, 0.24018090963363647, -0.6166216135025024, 0.7821733951568604, -0.4155167043209076, -0.7260911464691162, -0.6739209294319153, -0.6137179732322693, -0.2125769555568695, -0.13352325558662415, -0.011643125675618649, 0.4392460584640503, -0.9241865873336792, 0.18723249435424805, -0.7101169228553772, 0.08372977375984192, -0.5287461876869202, 1.8605434894561768, -0.5380076766014099, -0.07259926944971085, -0.27899548411369324, -0.5254080295562744, -0.9630742073059082, 0.032719142735004425, 0.27177393436431885, -0.7155884504318237, 0.8808359503746033, 0.3921881914138794, -0.16758590936660767, -0.40623563528060913, -0.3900875747203827, 1.003315806388855, -0.36784103512763977, 0.1931835263967514, -1.405023217201233, -0.09073043614625931, 0.5626291632652283, 0.34568679332733154, 1.102480411529541, -0.11756104975938797, -0.33591604232788086, 0.5938376784324646, 0.8239491581916809, 0.3026405870914459, -0.6523075103759766, -0.2962923049926758, -0.19720301032066345, 0.3629603087902069, -0.09698507934808731, 0.06956643611192703, -0.2022111713886261, 0.9051118493080139, 0.7435351610183716, -0.32731521129608154, -0.6440542340278625, 0.07813820242881775, -0.12595386803150177, 0.008510362356901169, 0.5028850436210632, -0.707173228263855, 0.7328351736068726, -0.18076202273368835, 1.2594398260116577, -0.3073292374610901, -0.5959101319313049, 0.4957558810710907, 1.4689558744430542, -0.1803666055202484, 0.4308975636959076, 0.04820966720581055, -1.411237359046936, 0.9994202852249146, -0.22059103846549988, -1.2343413829803467, 0.4228677451610565, -0.08120104670524597, 0.6082987785339355, -0.6165555119514465, 1.4889663457870483, -1.34481680393219, 0.6068347692489624, -0.8597946763038635, -1.1492291688919067, -0.5695466995239258, -0.3168547749519348, -0.06549021601676941, 0.06473388522863388, -1.3359485864639282, -0.5976787805557251, -0.09228818863630295, -0.5164956450462341, -0.09275948256254196, -0.6572357416152954, 0.026709889993071556, 0.1924929916858673, -0.642494797706604, -0.23430782556533813, -0.7309459447860718, 0.07992155104875565, -0.7274273037910461, 0.8163022398948669, -0.8247037529945374, 0.8622492551803589, 0.3403439521789551, -1.4024767875671387, 0.5955532193183899, -0.18037833273410797, -1.0331954956054688, -0.21278509497642517, -1.1659886837005615, 0.6318299770355225, -1.0188655853271484, -0.24699115753173828, 0.2948106825351715, -0.4548622667789459, -0.12131932377815247, 1.6383917331695557, -0.37596243619918823, 1.325470209121704, 0.5372140407562256, 0.6349143981933594, 0.055498819798231125, -0.3219635784626007, 0.11668973416090012, -1.0283771753311157, -0.6463121771812439, 0.3341345191001892, -0.04931151866912842, 0.935559868812561, -0.08886750787496567, -1.1239898204803467, 0.08488254994153976, 0.8751620650291443, 0.3852889835834503, 1.3103069067001343, -0.2024647295475006, -0.6953902840614319, -0.11477401852607727, 0.11972732096910477, -0.3073577582836151, 0.6312335133552551, -0.44972163438796997, -0.07780016213655472, 0.5286117196083069, -0.1953466236591339, 0.09557948261499405, -0.353767067193985, 0.0317779965698719, -0.5939443707466125, -0.9330557584762573, 1.112818956375122, 0.20297108590602875, 0.6962066888809204, -0.2092333883047104, 0.7149567008018494, 0.7639631032943726, 0.3446972370147705, 0.8098680973052979, 0.28490233421325684, -0.46246838569641113, 0.024822717532515526, 1.2243342399597168, -0.4471324384212494, -0.6392306089401245, -0.3160679340362549, -0.575433075428009, 0.6443817615509033, -0.4603748023509979, 0.7481359839439392, 0.24886047840118408, -0.31890949606895447, -0.5595817565917969, 0.3061424195766449, -0.08040562272071838, -0.7983876466751099, 0.22427409887313843, 0.6694018244743347, -0.22505110502243042, 0.4475942552089691, 0.6785672903060913, -0.4977450370788574, -0.8348280191421509, -0.5869851112365723, -0.16804945468902588, 0.414392352104187, 0.0654706209897995, -1.1740820407867432, -0.3435744345188141, 0.22018375992774963, -1.269792914390564, 0.37352198362350464, 1.1067914962768555, 0.470109224319458, 1.3457566499710083, 0.5795301795005798, -1.0909417867660522, -0.7697241306304932, 0.22965186834335327, 0.6599547863006592, 0.06747224181890488, 0.33708110451698303, 0.29327064752578735, -0.19660872220993042, -0.15088018774986267, -0.5074817538261414, -0.06919174641370773, 0.3504154682159424, -2.1089513301849365, 0.3737121522426605, -0.7213114500045776, 0.1892785131931305, -0.2917462885379791, 0.4252074956893921, -1.3358285427093506, -0.5033627152442932, -0.8018317818641663, -0.6274806261062622, 0.8194767236709595, 0.867941677570343, -0.4317573010921478, 0.6961913108825684, 0.07963836938142776, 0.23921354115009308, -0.6049189567565918, 0.22965964674949646, -0.8910194039344788, 0.7322257161140442, -0.46627873182296753, -1.2422404289245605, 1.11601984500885, 0.6868444085121155, -0.09043628722429276, 0.46390873193740845, -1.0142313241958618, 0.1988266408443451, 1.5360091924667358, 0.6947256922721863, -0.6311058402061462, -0.1553613841533661, 0.5911160111427307, -0.3486803472042084, -0.35381370782852173, -0.9987812042236328, 0.3888568580150604, 0.5211191773414612, 2.0411696434020996, -0.24866507947444916, -1.3794180154800415, 0.8971796035766602, -1.077997088432312, 0.11036928743124008, 0.23283618688583374, 0.04710865020751953, 0.9706944823265076, -0.39832788705825806, -0.8086805939674377, -0.35811761021614075, 0.2696504592895508, -1.1774377822875977, 1.4768823385238647, 1.2096288204193115, 0.1183285042643547, 0.1783856302499771, 1.53633713722229, 0.06369971483945847, 0.9321927428245544, -0.1250617355108261, -1.0520349740982056, -1.0505118370056152, 1.2401236295700073, -0.906287431716919, -0.625870406627655, 0.7056416869163513, 0.2742637097835541, 0.16491805016994476, -1.3909344673156738, 0.3263530731201172, -0.6669782996177673, 0.20768961310386658, -0.5959856510162354, -0.6664168238639832, -0.17777080833911896, -0.40979886054992676, 0.22123102843761444, -0.6392337679862976, -0.15385037660598755, -0.10503926873207092, 1.3574280738830566, -0.7813094854354858, -0.19439522922039032, -0.094101183116436, 0.37857142090797424, -0.19990627467632294, 1.5171966552734375, 1.1488288640975952, 0.2803865969181061, 0.054461780935525894, -0.29361796379089355, 0.5019912123680115, -0.15101101994514465, -0.9233114719390869, 0.8063008785247803, 0.09665486216545105, -0.5004193782806396, 0.12033142149448395, -1.3359628915786743, -0.45627450942993164, 0.1646052747964859, -0.7222226858139038, -1.3013430833816528, 0.5684431791305542, -0.6390848159790039, -0.030306965112686157, 0.8498634099960327, -0.5066109895706177, -0.6660169363021851, -0.15795652568340302, -0.24888165295124054, -0.04095896705985069, 0.38847512006759644, 0.6721015572547913, 0.5146524310112, -0.10439645498991013, 0.8719030022621155, 0.231254443526268, 0.2708290219306946, -0.5874999761581421, -0.803922712802887, -1.0951331853866577, -3.1142361164093018, -1.2645657062530518, -0.9059299826622009, -0.02861878275871277, 0.12966609001159668, 0.53136146068573, -1.1456916332244873, -0.1727871298789978, 0.18339265882968903, 0.14955826103687286, -0.5660613179206848, -0.44212213158607483, 0.5277760028839111, -0.2740877568721771, 0.7898228168487549, -0.0032310662791132927, 0.11583337932825089, -1.191962718963623, 1.5356215238571167, -0.055758845061063766, 0.619960367679596, -0.7676029205322266, 0.9850170016288757, -0.36775127053260803, -0.5120663642883301, 1.1538121700286865, 0.39029067754745483, 0.6946157217025757, 0.44750797748565674, 0.47204554080963135, -0.5817437171936035, 0.49623358249664307, 0.22629837691783905, 0.1423978954553604, -0.3030109107494354, 0.30373507738113403, 0.2651093602180481, 1.4207936525344849, -0.39020296931266785, -9.547699928283691, 0.9103015065193176, -0.5196574926376343, -0.6370750665664673, 0.39533135294914246, 0.8703399300575256, -0.5368530750274658, -0.3267681896686554, -0.8737748265266418, -0.5212992429733276, 0.861397385597229, 0.10985112190246582, 0.04085404798388481, 0.6770508289337158, -0.1961338073015213, -0.6183690428733826, -0.10999933630228043, 0.777782142162323, -0.13321354985237122, 0.7128261923789978, -0.11186888813972473, 0.9142768383026123, -0.07401847839355469, -0.7045417428016663, 1.0163582563400269, -0.6926230192184448, -0.47655171155929565, 0.7039780616760254, 0.5508888959884644, 0.8183682560920715, -0.6043204665184021, -0.14146625995635986, -0.7799949049949646, 0.08971940726041794, -0.130500927567482, 1.1143100261688232, 0.47149479389190674, 0.5285667181015015, 0.03237064555287361, -0.3003593981266022, -0.3693997859954834, -0.4558511972427368, 0.025459637865424156, 0.7620711922645569, 0.16544610261917114, 0.31328296661376953, -0.014314228668808937, 2.0895538330078125, 0.034660790115594864, -1.1833627223968506, -0.6388199329376221, -0.8960610628128052, -0.24997244775295258, -0.6469641327857971, -0.1447044461965561, 0.05656791478395462, -0.41824445128440857, -0.2665218114852905, 0.5449107885360718, -0.3944150507450104, 0.7616233825683594, -0.5765241980552673, 1.0953733921051025, 0.1399717479944229, -0.33934885263442993, 0.5214588046073914, 0.5144680142402649, -0.7245246767997742, -0.6586644649505615, 0.25675255060195923, -0.6125392913818359, -0.3879818916320801, 0.19480392336845398, -0.7785966396331787, -0.3823074996471405, 0.2596687376499176, -1.2169004678726196, 0.21682856976985931, 0.33247196674346924, -0.2546648383140564, 0.5116624236106873, -1.120726466178894, 0.8819099068641663, 0.7989346385002136, 0.23440566658973694, -0.7544955015182495, -0.060274671763181686, -2.108600378036499, 2.018355369567871, 0.33105799555778503, -0.09364761412143707, -0.38028979301452637, 0.5301175713539124, -1.2950825691223145, -0.7404604554176331, 0.24710367619991302, -0.487967848777771, -2.3130886554718018, 0.057721544057130814, 0.2657851576805115, -0.03837272897362709, -0.700492262840271, 0.5886716246604919, 0.547389030456543, 0.34297192096710205, 1.258868932723999, -0.7238261699676514, -0.010306525975465775, 0.8657718300819397, -0.23653437197208405, 0.17407356202602386, -0.15890145301818848, -1.6263140439987183, 0.4013626277446747, -0.661536693572998, -1.1467400789260864, 0.19924099743366241, 0.4388306438922882, 0.2336672991514206, -0.76161128282547, 0.2636639475822449, -0.19473379850387573, 1.280776023864746, 1.4969686269760132, -0.8614507913589478, 0.8096717596054077, 1.1599830389022827, -0.8493741154670715, -0.5451614260673523, -0.30320101976394653, -0.9083580374717712, -1.1542226076126099, 0.2350638061761856, 1.230991005897522, -0.4280908703804016, -1.4529204368591309, -0.4864887297153473, 1.7019206285476685, 0.4081548750400543, 1.2589629888534546, 1.6084717512130737, -0.11426574736833572, -0.43833041191101074, 0.11239205300807953, 0.26530885696411133, -0.24092724919319153, -0.49103036522865295, 0.5703554749488831, -1.2508137226104736, -0.5148937702178955, 0.7549283504486084, 0.436950147151947, -0.17268209159374237, 0.02346699684858322, -0.7727709412574768, 0.11677625775337219, -0.9532594084739685, 0.5318102240562439, -0.016855305060744286, -0.10609262436628342, 0.5989814400672913, -0.725212037563324, 0.5102491974830627, 1.2431343793869019, 0.5511020421981812, -0.4356992840766907, -0.7858082056045532, 0.7818064093589783, 1.1384261846542358, -0.18864284455776215, 0.3063311278820038, -0.08863495290279388, 0.1068616434931755, 1.0414223670959473, -0.059099454432725906, 0.38476553559303284, -0.30115437507629395, 0.37269091606140137, -0.8617171049118042, -0.8807289004325867, -1.095881700515747, 1.0634151697158813, 1.1162492036819458, 0.5849345922470093, -0.05406535789370537, 0.15331056714057922, -1.0351237058639526, 0.16070614755153656, -0.7027371525764465, -0.11760871857404709, -0.497379332780838, -0.08153284341096878, -0.8016046285629272, -0.4340316951274872, 0.6755733489990234, -0.182428240776062, -0.5492353439331055, -0.08069214969873428, 0.7713871598243713, -0.44532665610313416, -0.3635156750679016, 0.904167115688324, 0.07444484531879425, 0.13587571680545807, -0.7679930925369263, 0.3229774832725525, 0.0013585888082161546, -0.10734698176383972, -0.27501028776168823, -0.4635792076587677, 0.1529424488544464, 0.1636846661567688 ]
1,086
0704.1088
Ernst Joachim Weniger
Ernst Joachim Weniger
Extended Comment on "One-Range Addition Theorems for Coulomb Interaction Potential and Its Derivatives" by I. I. Guseinov (Chem. Phys. Vol. 309 (2005), pp. 209 - 213)
42 pages, LaTeX2e, 0 figures; references added, minor changes in the text, typos corrected
null
null
null
math-ph math.MP
null
Addition theorems are principal tools that express a function $f (\bm{r} \pm \bm{r}')$ in terms of products of other functions that only depend on either $\bm{r}$ or $\bm{r}'$. The best known example of such an addition theorem is the Laplace expansion of the Coulomb potential which possesses a characteristic two-range form. Guseinov [Chem. Phys. {\bf 309}, 209 - 213 (2005)] derived one-range addition theorems for the Coulomb potential via the limit $\beta \to 0$ in previously derived one-range addition theorems for the Yukawa potential $\exp \bigl(-\beta | \bm{r}-\bm{r}'| \bigr) /| \bm{r}-\bm{r}'|$. At first sight, this looks like a remarkable achievement, but from a mathematical point of view, Guseinov's work is at best questionable and in some cases fundamentally flawed. One-range addition theorems are expansions in terms of functions that are complete and orthonormal in a given Hilbert space, but Guseinov replaced the complete and orthonormal functions by nonorthogonal Slater-type functions and rearranged the resulting expansions. This is a dangerous operation whose validity must be checked. It is shown that the one-center limit $\bm{r}' = \bm{0}$ of Guseinov's rearranged Yukawa addition theorems as well as of several other addition theorems does not exist. Moreover, the Coulomb potential does not belong to any of the Hilbert spaces implicitly used by Guseinov. Accordingly, one-range addition theorems for the Coulomb potential diverge in the mean. Instead, these one-range addition theorems have to interpreted as expansions of generalized functions in the sense of Schwartz that converge weakly in suitable functionals.
[ { "created": "Mon, 9 Apr 2007 09:44:56 GMT", "version": "v1" }, { "created": "Sun, 17 Jun 2007 12:59:08 GMT", "version": "v2" }, { "created": "Mon, 31 Dec 2007 11:47:24 GMT", "version": "v3" } ]
2007-12-31
[ [ "Weniger", "Ernst Joachim", "" ] ]
07
[ 0.8842804431915283, 0.18339094519615173, -0.5183529257774353, 0.17682597041130066, -1.0054230690002441, -0.1014678105711937, 1.1164672374725342, 0.17663823068141937, -1.5662883520126343, -0.6508812308311462, -0.9217862486839294, 0.607017457485199, 0.17505685985088348, -0.956510066986084, -1.5156482458114624, 0.034379974007606506, 1.505353569984436, -1.9259759187698364, -0.42119643092155457, -1.3871326446533203, 0.37859269976615906, -0.6016401052474976, -0.273721307516098, 0.35748985409736633, -0.6521498560905457, -0.8158064484596252, -0.4183526039123535, 0.30186665058135986, 0.10272300988435745, 0.1763368397951126, 0.30619528889656067, 0.3657817244529724, -1.2290213108062744, 0.7153790593147278, 0.7460324168205261, -0.35041263699531555, 0.8823068737983704, -0.8552080392837524, 0.15462641417980194, -0.7132037878036499, -0.8890445232391357, -0.9914585947990417, 0.232709139585495, -1.037055253982544, -0.780912458896637, -0.20393529534339905, -0.17233140766620636, 0.05244014039635658, -0.934489905834198, 1.5221335887908936, -0.038982879370450974, -0.4504173696041107, 0.003180988598614931, 0.8554520010948181, -0.6410987377166748, -0.5018042922019958, -0.7374479174613953, 0.6413558125495911, -0.09516432136297226, -0.5617464184761047, 0.4247134029865265, -0.015249495394527912, -0.8431123495101929, 0.21490125358104706, 0.011235144920647144, 0.422953724861145, 0.4004592299461365, 1.1971516609191895, 0.2771754562854767, -0.05400392785668373, -0.3888275623321533, -0.6543048620223999, 0.02314634993672371, -0.9960083961486816, -0.29209405183792114, 1.0519028902053833, 0.3495306074619293, 0.10324278473854065, 0.35021811723709106, -0.09449609369039536, 0.14604540169239044, 1.016329288482666, 0.7289420962333679, -0.6381776928901672, -0.7821341156959534, 1.128316044807434, -0.030740786343812943, -0.4629410207271576, -0.06182754784822464, 1.111263394355774, 0.7284170985221863, 0.29976245760917664, -0.6463080048561096, 0.6684709191322327, -0.7699412703514099, -0.4991713762283325, -0.4914402961730957, -0.48257941007614136, 0.7842381596565247, -0.2140984684228897, -1.286920189857483, -0.7424076199531555, -0.1432202309370041, 0.25145718455314636, -0.43275532126426697, -0.9944325685501099, -0.4221477210521698, -0.10552903264760971, -0.31684327125549316, 0.21659059822559357, 0.6178494095802307, -0.860945999622345, -0.046966541558504105, 0.4817696809768677, -1.3089001178741455, 2.1133649349212646, 0.11375028640031815, -0.4337185025215149, 0.06107531860470772, 0.6700448393821716, 0.37056809663772583, -0.5733196139335632, 0.5130946040153503, 0.5119564533233643, -0.17421871423721313, -0.25778841972351074, 0.3943675756454468, -0.6736779808998108, -0.010237711481750011, -0.36064866185188293, -0.30956757068634033, -0.6349996328353882, 0.4368543326854706, 0.05809447541832924, -1.2765471935272217, -0.3006393015384674, 0.005502601154148579, -0.8620355129241943, 0.49420851469039917, -0.2669627070426941, -0.5039255023002625, -0.2012963891029358, -0.3515613079071045, -0.12969379127025604, 0.15493084490299225, 0.10341935604810715, 0.7214283347129822, -0.5048604607582092, -0.19629119336605072, 0.10998469591140747, 0.028835434466600418, 0.6926188468933105, 0.8110662698745728, -1.1837072372436523, 0.3390200138092041, 0.16327975690364838, 0.7560022473335266, 0.13517846167087555, -0.5764198899269104, 0.016323724761605263, 1.5148175954818726, -0.8782966136932373, 0.7833094000816345, -0.8872506022453308, 0.20025992393493652, -0.28771114349365234, -0.26201650500297546, -0.36581599712371826, 0.07285913825035095, -0.7238089442253113, -0.34380999207496643, 0.5332565307617188, 0.626891016960144, -0.5438759922981262, 0.6048169732093811, -0.0515313558280468, 0.4824787676334381, 0.39137858152389526, -0.5147397518157959, 1.0031086206436157, -0.3628084361553192, -1.3018008470535278, -1.744307041168213, -0.1253938227891922, 0.3004186153411865, 0.03305034339427948, 0.8197498321533203, -0.355408251285553, -0.29904767870903015, 0.7788493037223816, -0.3356180489063263, 0.189727321267128, -0.9297295808792114, 0.9537674188613892, -0.3738366663455963, 0.7114202380180359, -0.44996559619903564, -0.39220285415649414, -0.7964500188827515, -0.04881145805120468, 0.3381725549697876, 0.1714208871126175, -0.39382246136665344, 0.5979461073875427, -1.1148356199264526, 0.4776960611343384, -0.23567363619804382, 0.912114143371582, -1.1934120655059814, -0.4097174108028412, -0.020843053236603737, 0.027056578546762466, 0.3058885335922241, 0.0652570128440857, 0.6039273738861084, -1.6228272914886475, 0.017744852229952812, 0.36685213446617126, 0.2137390822172165, -0.15378901362419128, 0.09227143228054047, 0.23981419205665588, -0.8002352714538574, 1.1473551988601685, 0.40921393036842346, 1.2201019525527954, 0.667751133441925, 0.8042550683021545, -0.815255880355835, -0.10908567160367966, 2.0577919483184814, -0.8903141021728516, -0.23902878165245056, -0.1746104657649994, 0.7304969429969788, 0.2659531533718109, -0.48557257652282715, -1.511247158050537, -0.8773912191390991, 1.173660159111023, -0.8392891883850098, 0.7224699258804321, 0.2764577865600586, -0.8629338145256042, -1.2111486196517944, 0.2279530167579651, 1.6159193515777588, -1.4595606327056885, 0.3883513808250427, -0.12655070424079895, -0.25100255012512207, -0.6172125339508057, 0.4789630174636841, 0.39823541045188904, -0.683364987373352, -0.8293039202690125, -0.5402765870094299, -0.7263816595077515, -0.1806946098804474, 0.3807729184627533, 0.876179039478302, 0.22305850684642792, -1.0362763404846191, 1.3852674961090088, -1.638482928276062, -0.5172496438026428, -0.10141962021589279, -0.07660984247922897, 0.5211333632469177, -1.3100740909576416, -0.06876365840435028, -0.44217920303344727, -0.5201088190078735, 0.596835732460022, 0.1522190272808075, -0.23409335315227509, 0.12625473737716675, 0.06459270417690277, 0.6412957310676575, -1.4567233324050903, -0.6010779738426208, 1.0148886442184448, -0.435329407453537, 1.4715421199798584, -0.5059015154838562, -1.6229779720306396, -0.2275216281414032, 0.5881773829460144, -0.01861744374036789, -0.12864486873149872, 0.22259828448295593, 0.0940709188580513, -0.26862677931785583, 0.39673689007759094, 0.17327015101909637, -0.5094789862632751, -0.44096851348876953, 0.11845140159130096, 0.7699997425079346, 0.5836565494537354, -0.5367896556854248, 0.030924273654818535, 0.34312012791633606, -0.12692368030548096, 1.151231050491333, -0.6033469438552856, -2.1194941997528076, -0.9909571409225464, -1.4329757690429688, -0.3760714828968048, -0.3134324252605438, 0.43285995721817017, 0.2536683678627014, -0.582302451133728, 1.1493154764175415, 0.6665643453598022, -0.5520444512367249, -0.11566397547721863, 0.26074665784835815, -0.6359754204750061, 0.39796245098114014, 1.0251151323318481, -0.9029542207717896, 1.764044165611267, 0.41631069779396057, 0.03254854306578636, -0.7855069637298584, 0.963459849357605, 0.25836777687072754, 0.16880302131175995, -0.05495913699269295, 0.45741021633148193, 0.7570714950561523, 0.41503775119781494, -0.590118944644928, 0.16906249523162842, -1.7344017028808594, -0.053512319922447205, 0.5243315696716309, -0.6701415777206421, 1.213269591331482, -0.5353050231933594, 0.038630176335573196, -0.3701770603656769, 0.38651493191719055, -0.3676408529281616, 0.16998158395290375, -0.661237359046936, 0.9600472450256348, -1.2009910345077515, -0.431483656167984, -0.5247945189476013, 0.1063758060336113, 0.25294792652130127, 0.3406073749065399, -0.3265622556209564, 0.22814759612083435, 0.9247519969940186, 0.05261456221342087, 0.6974560022354126, -0.3915330171585083, 0.0896955206990242, 0.34316661953926086, -0.7531931400299072, 1.1271361112594604, 1.9148945808410645, -0.5430153012275696, 0.10676873475313187, -0.44503164291381836, -0.40865427255630493, -0.6505463719367981, -0.46756720542907715, -0.6757413148880005, 0.31114625930786133, -0.7546469569206238, -1.5152086019515991, -0.8473449349403381, -0.6973181366920471, 1.2027140855789185, -0.3922213912010193, 0.6684473156929016, 0.596803605556488, 0.6474498510360718, 0.3945469856262207, -0.46591100096702576, 1.4264330863952637, 1.236716628074646, 0.6296831965446472, -0.15754921734333038, 1.01779305934906, -1.1937488317489624, -0.053784262388944626, 0.16580703854560852, -0.1911633014678955, 1.4567899703979492, 0.8206459879875183, 0.5136018991470337, 1.0586354732513428, 1.7123538255691528, 1.031566858291626, -0.41509589552879333, 0.45178723335266113, 0.2628416419029236, -0.5630661249160767, 0.7338581681251526, -0.5913752317428589, 0.5727903842926025, 0.35857051610946655, -0.44859570264816284, 0.6133045554161072, -0.2725232243537903, 0.10146276652812958, 0.16668735444545746, 1.130391001701355, 0.49301543831825256, 0.2831903100013733, 1.0694557428359985, 0.7559418678283691, 0.8553735017776489, -1.019586443901062, 0.25412341952323914, -0.325112521648407, -0.25472694635391235, 0.634455144405365, 0.5439136028289795, -1.50209641456604, 0.7690292596817017, -0.4559710621833801, -0.33172616362571716, 1.492125391960144, 0.2612797021865845, -0.38879093527793884, 0.16678082942962646, 1.0007659196853638, -0.9578799605369568, -1.1810111999511719, -0.47156959772109985, 0.7850530743598938, 0.5158834457397461, 0.6716569662094116, -0.42407211661338806, 0.325839638710022, 0.5240170955657959, -2.0983381271362305, 0.036976441740989685, -0.9166662693023682, -0.09538891166448593, 1.0804857015609741, 1.5641570091247559, -0.6456841230392456, 0.43832749128341675, 0.633837878704071, 0.17073018848896027, 0.04711080342531204, -0.41144973039627075, -0.545491099357605, -0.08316511660814285, 0.5279055237770081, -0.5240873694419861, 0.23605279624462128, -0.8201441168785095, -0.6081943511962891, 0.7276233434677124, -0.44664710760116577, -0.3883148729801178, 0.2835431396961212, 0.17781883478164673, -0.6205010414123535, -1.3306041955947876, 0.17165766656398773, -0.3362129032611847, -0.4303357005119324, 0.16537410020828247, -0.9902306199073792, -1.0428531169891357, -0.6305185556411743, 0.660121500492096, -0.563650906085968, 1.6248139142990112, 0.05611438304185867, 1.2745051383972168, 1.674604058265686, -1.2889940738677979, 0.1343705803155899, -0.2504445016384125, -0.1532105952501297, -0.6476153135299683, 0.3604253828525543, -0.0335981547832489, 1.5887095928192139, -0.1237596943974495, -0.7836132049560547, 1.0459704399108887, 0.21992944180965424, 0.2547334134578705, 0.9170427322387695, -0.8843799233436584, -0.5553680062294006, -0.6794021129608154, 0.15692032873630524, 0.3761691153049469, 0.9382907748222351, 0.11535342037677765, -1.203568696975708, -1.0048874616622925, -0.3063190281391144, 0.6148537397384644, 0.198891744017601, 0.8760783672332764, -0.9592411518096924, -0.18126486241817474, -0.7465136647224426, 0.7100927829742432, 0.7270729541778564, 0.28387725353240967, -0.39252734184265137, -1.3041008710861206, -3.5337979793548584, -0.1997799128293991, -0.7348819971084595, 0.7717282176017761, -1.299405813217163, 0.40133920311927795, 0.0066139609552919865, -1.1971285343170166, -0.12024518102407455, -0.2510314881801605, -0.7914634943008423, 0.4119603931903839, -0.2693786025047302, -0.10595361143350601, 0.5602896809577942, -0.06146594136953354, 0.44938284158706665, -0.8606321811676025, 0.3408645987510681, 0.0868314728140831, 0.20815637707710266, -0.11661971360445023, 0.5530874133110046, 0.28252071142196655, 0.016924753785133362, 1.181791067123413, -0.3814851641654968, 0.26177778840065, 0.5353726148605347, -0.5305163264274597, 0.8585613369941711, -0.318346232175827, -0.06132981926202774, -0.1833997666835785, -0.6923693418502808, -1.1489139795303345, -0.33416956663131714, 0.8316652774810791, 1.6493110656738281, -7.567698955535889, -0.44345006346702576, 0.2658986747264862, -0.13131661713123322, 0.6545314788818359, -1.787845253944397, -1.0515509843826294, 0.028188908472657204, 0.3982492685317993, 0.3700634837150574, -0.14564849436283112, 0.23810938000679016, -0.37797051668167114, 0.10976662486791611, 0.4077942669391632, -0.4938145577907562, 0.8423090577125549, 0.32444050908088684, -0.6902502179145813, -0.040587443858385086, -0.5683065056800842, 0.421193927526474, 0.10143330693244934, 0.2464195340871811, 1.5022614002227783, -0.20025436580181122, 0.2501350939273834, -0.009544363245368004, 1.155453085899353, 0.14505068957805634, -0.5054929256439209, 1.5569562911987305, -0.6795024275779724, 0.45161959528923035, 0.4648191034793854, -0.9634618163108826, -0.34165388345718384, -0.12844140827655792, 0.23748895525932312, -0.042999137192964554, 0.7707785964012146, -0.1817968487739563, 0.03874500095844269, 1.6808815002441406, 0.4622264504432678, 0.30022984743118286, -1.4006401300430298, 0.24510860443115234, -0.4973562955856323, -0.4924411475658417, -0.3775797486305237, -0.09514274448156357, -0.4942299723625183, -0.15078037977218628, 0.29591941833496094, 0.6914334297180176, -1.026119351387024, -0.7807928919792175, -1.732028841972351, -0.768417239189148, -1.1299281120300293, 0.43320608139038086, 0.7133192420005798, 0.19086840748786926, -0.7966930866241455, 0.5343149304389954, -0.027223309502005577, 0.501873791217804, -0.13455386459827423, 0.40178182721138, 0.2677752375602722, 0.18767724931240082, -1.138102412223816, -0.7623595595359802, -1.8488140106201172, -0.15368784964084625, -0.17668209969997406, 0.6872209906578064, -0.18485096096992493, -0.7384362816810608, 0.03522288799285889, 0.9601040482521057, -0.27061811089515686, 0.8872563242912292, 0.24459777772426605, 0.046533238142728806, -0.26671117544174194, -1.4166252613067627, 0.6584503650665283, -0.47238922119140625, -0.14596061408519745, -0.15225599706172943, -0.19169224798679352, 0.43027693033218384, -1.5209815502166748, 0.950918972492218, 0.3639763593673706, -1.244640827178955, -1.0488923788070679, -0.23208847641944885, -0.3567812144756317, -0.5148645639419556, 1.0372428894042969, 0.4952496290206909, 1.0424984693527222, 0.405672550201416, 0.015100340358912945, 0.6948618292808533, -1.4822739362716675, -0.65233314037323, -0.04966915026307106, 1.4418379068374634, -0.09423059225082397, -0.2920353412628174, -0.34476926922798157, -0.18097136914730072, -0.3597198724746704, -0.6111966371536255, 0.5448392033576965, -1.4359452724456787, -0.5709052085876465, -1.1945672035217285, 0.4068466126918793, 1.119145393371582, -0.2620009481906891, -0.5344136953353882, 0.8238226771354675, -0.4253894090652466, -1.7941923141479492, -0.320707231760025, -0.8670159578323364, 0.6654863953590393, -2.0471131801605225, -0.010635647922754288, -0.9887085556983948, 0.2102087140083313, -0.9008719325065613, 0.3405720889568329, -0.06844337284564972, -0.5724248886108398, 0.5524576902389526, -0.6632410883903503, -0.2543129622936249, 0.38976889848709106, -0.17592602968215942, -0.44513168931007385, 0.9086868166923523, -0.4587348997592926, 0.26254957914352417, 0.36949893832206726, -0.2370857149362564, 0.5707159638404846, 0.5493703484535217, 0.023123497143387794, -0.4251072108745575, -0.597391664981842, -0.16078001260757446, -0.3328803479671478, -0.143722265958786, -1.0474714040756226, -0.963211715221405, -0.0764826238155365, -1.0850919485092163, 0.26022064685821533, 0.820676326751709, -1.0409867763519287, -0.3762131929397583, -0.0636286661028862, 0.5742245316505432, 0.5219283699989319, -0.288571298122406, 0.9258993864059448, 0.4194117486476898, -0.2676364779472351, -0.9025735259056091, -0.3413406014442444, -0.5277717709541321, 0.261515349149704, 0.48637792468070984, 0.25345784425735474, 0.3612627685070038, -0.3446018099784851, 0.18308278918266296, 1.0649855136871338, 1.588995099067688, 0.8759275674819946, -0.34315061569213867, 0.5861194729804993, 1.35100519657135, -0.46291446685791016, 0.6611969470977783, 0.019635271281003952, -1.046331524848938, 0.5637348890304565, -0.6205554008483887, -0.025388428941369057, 0.4037928283214569, 0.41190725564956665, 0.5886080861091614, -0.8327831029891968, -0.4321250915527344, 0.6210155487060547, -0.24292905628681183, 0.0646091103553772, -0.32909682393074036, -0.8056918382644653, 0.41999197006225586, 0.5305187106132507, -1.794018268585205, 0.2830134630203247, 0.22893059253692627, 0.059045109897851944 ]
1,087
0704.1089
Vyacheslav Yukalov
V.I. Yukalov
Representative Ensembles in Statistical Mechanics
Latex file, 18 pages
Int. J. Mod. Phys. B 21 (2007) 69-86
10.1142/S0217979207035893
null
cond-mat.stat-mech
null
The notion of representative statistical ensembles, correctly representing statistical systems, is strictly formulated. This notion allows for a proper description of statistical systems, avoiding inconsistencies in theory. As an illustration, a Bose-condensed system is considered. It is shown that a self-consistent treatment of the latter, using a representative ensemble, always yields a conserving and gapless theory.
[ { "created": "Mon, 9 Apr 2007 10:07:44 GMT", "version": "v1" } ]
2015-05-13
[ [ "Yukalov", "V. I.", "" ] ]
07
[ -0.2720770239830017, 0.19266073405742645, 1.2211250066757202, 1.398249626159668, 0.35525277256965637, -0.4555191397666931, 1.2956827878952026, 1.556030035018921, 0.6896228194236755, -0.900076687335968, -0.7139062285423279, 0.45377492904663086, 0.25075000524520874, -0.8868456482887268, -2.365696668624878, -0.5599554777145386, 0.25401031970977783, -1.0406889915466309, 0.6554629802703857, 0.4177159368991852, -0.10216373950242996, -0.9960402846336365, 0.42042970657348633, -0.5098868012428284, -0.32515498995780945, 0.7440147995948792, -0.7313191294670105, 0.9599947929382324, -0.543745219707489, -0.023656072095036507, 0.6272811889648438, 0.5608989596366882, -0.2422419786453247, 0.7751602530479431, -0.6800870299339294, -0.4677479565143585, 0.3477488160133362, -0.6522015929222107, -0.8135597705841064, 0.1565416306257248, 0.44441530108451843, 0.058081477880477905, 0.2287708967924118, -0.03981047496199608, -1.855954647064209, -0.15690195560455322, -0.7324795126914978, -0.3962945342063904, -0.3109481632709503, 0.40688326954841614, -0.732788622379303, -0.40818899869918823, 0.9507846236228943, 0.41022634506225586, 1.820597767829895, 0.2978837490081787, -0.2339206486940384, 0.44443032145500183, 1.0077791213989258, -0.21921442449092865, 0.05268233269453049, -0.37465059757232666, 0.3348371088504791, -0.06452292203903198, -0.5661053657531738, 0.2615342140197754, -0.04060007631778717, -1.0035406351089478, 0.6606970429420471, -0.9319530725479126, 0.5229001641273499, -0.8578226566314697, 0.4620852768421173, 0.1547633707523346, 0.017297454178333282, -0.583573043346405, 0.2781123220920563, -0.8581185340881348, 1.2959325313568115, -0.3913142681121826, 0.7379249334335327, -0.240550696849823, 0.5197893381118774, 0.1257552057504654, -0.06709811836481094, 1.1519458293914795, 1.5626482963562012, 0.16641846299171448, -0.18686339259147644, 1.1445026397705078, 0.49081769585609436, 0.4038931429386139, 0.03538867086172104, -0.8337492942810059, 0.0904281809926033, -1.233189344406128, -1.339201807975769, 0.9402440190315247, 0.1415022909641266, 0.4829428195953369, -0.6319923996925354, -0.014415854588150978, 0.09089165925979614, 0.10049483180046082, 0.1607072800397873, 0.0713794156908989, 0.1619814932346344, -0.207357719540596, 0.3654528558254242, 0.4830377697944641, 0.5372729301452637, -1.2278883457183838, -0.27227556705474854, 0.29258692264556885, -1.3871819972991943, 0.32260486483573914, -0.4638124108314514, -0.6965687870979309, -0.869105875492096, 0.49522706866264343, 1.1961054801940918, 0.3843443989753723, 0.7858754396438599, -0.6532803773880005, -0.0907311886548996, 0.1365160346031189, 0.743230938911438, -0.8603999018669128, 0.24003034830093384, -0.43029436469078064, -0.23160572350025177, -0.5858527421951294, 0.544672966003418, 0.7675989866256714, -0.8285167217254639, 0.16320429742336273, -0.4936719834804535, 0.7988770604133606, -0.5816540718078613, -0.5290132164955139, 0.16010549664497375, 0.6651117205619812, -0.11749178916215897, 0.46893027424812317, -0.9283038973808289, -0.2716518044471741, 0.17703558504581451, 0.08880555629730225, -0.01086000818759203, -0.3144555985927582, -0.891761302947998, -0.4768604040145874, -0.1934686005115509, -0.09310908615589142, 0.5163561105728149, -0.3889022767543793, 0.3418569266796112, -0.6554719805717468, -0.7647081017494202, 0.3632494807243347, 1.6478313207626343, -1.3188719749450684, 0.47560569643974304, 0.008311786688864231, 0.22278831899166107, 0.26924118399620056, -0.41032174229621887, -0.26122722029685974, -0.16971831023693085, 1.0006258487701416, -1.2237496376037598, -0.04820198565721512, 0.617801308631897, 1.0141867399215698, -0.43026384711265564, -0.23078258335590363, 0.8920597434043884, -0.1789940446615219, -0.6323073506355286, -0.5410974025726318, 0.24691976606845856, -1.1291792392730713, -0.6477624773979187, 0.5131874680519104, -0.18357089161872864, 0.872551679611206, -1.5606411695480347, -0.3827614486217499, -0.3033302426338196, 1.101450800895691, -1.3790698051452637, -0.08619798719882965, -2.047593116760254, 0.28999999165534973, -1.1187244653701782, 0.7214128971099854, -0.3149578273296356, 0.4418223798274994, -1.001607060432434, -0.7650349736213684, 1.0389817953109741, 0.138689324259758, -0.23522119224071503, 0.4918527901172638, -1.1771185398101807, 0.11746511608362198, 0.22583302855491638, 0.35072872042655945, -0.5499581098556519, -0.9746302962303162, 0.6925254464149475, 0.4867473542690277, -0.2894487679004669, -1.0436125993728638, 0.08128394186496735, -0.3564254641532898, -0.7033879160881042, -0.30440789461135864, 0.5472933650016785, 0.4459916055202484, 0.7518230676651001, 0.3942091464996338, 0.5179171562194824, -0.2762486934661865, -0.49624520540237427, 0.8920013904571533, -0.170423224568367, 0.25294509530067444, 0.4615309536457062, 0.05779041349887848, 0.4371296763420105, -1.4587702751159668, 0.4939403831958771, -0.5709410905838013, 1.0905258655548096, 0.43855810165405273, -1.0505011081695557, -1.5732104778289795, 0.4155223071575165, -0.16795767843723297, -0.4307486116886139, -0.05769461393356323, -0.0872257873415947, 0.461228609085083, -0.7778289318084717, 0.5225346088409424, 0.2609627842903137, 0.5314487814903259, -1.2262588739395142, 0.06743296980857849, 0.5350697636604309, 0.11260270327329636, 0.0015327767468988895, -0.3256034553050995, -0.4835524559020996, 1.1730527877807617, -0.043464597314596176, 0.20119449496269226, 0.2934804856777191, 0.568821370601654, 0.1655154675245285, -0.20623520016670227, 0.5754831433296204, 0.1887258142232895, -0.3022374212741852, -1.4042408466339111, -0.2439269870519638, -0.18245986104011536, 1.1654409170150757, -0.43164151906967163, -0.6892639994621277, -0.26280564069747925, -1.0581902265548706, -0.14012128114700317, -0.7809616327285767, -1.079525113105774, -0.5000395774841309, -0.5200672149658203, -0.07413525879383087, -0.09447743743658066, -0.2293190062046051, 1.4350097179412842, 0.8522017002105713, 0.5215478539466858, 1.9355369806289673, 0.4841928780078888, 0.4228035807609558, -0.22674205899238586, -0.5363277196884155, -0.3508091866970062, 0.3042285740375519, -0.1609559804201126, -0.41518521308898926, -0.5730240941047668, -1.2722052335739136, -0.5066724419593811, -0.15385380387306213, 0.4147951304912567, 0.3331300616264343, -1.3511189222335815, -0.447490394115448, 0.3427461087703705, 0.041590891778469086, 0.37335723638534546, 1.0591315031051636, -0.9613257646560669, -0.7432489395141602, -0.1784326136112213, -0.6535702347755432, 0.9228198528289795, -0.29776081442832947, 0.7838875651359558, -0.6121774911880493, -0.4757779538631439, 0.5469685792922974, -0.39001014828681946, -0.9612253904342651, -0.8779199123382568, -0.11614212393760681, -0.40856853127479553, -0.43797653913497925, -0.5190401077270508, 2.3061344623565674, 1.6251919269561768, 0.5345602035522461, -0.35064154863357544, -0.12742368876934052, 0.16364611685276031, -0.5041967034339905, -0.45660752058029175, 1.1613030433654785, -0.5516430139541626, -0.025679484009742737, -0.419676810503006, -0.9264233708381653, -0.5989682674407959, 0.28044867515563965, -1.4351228475570679, 1.0351098775863647, 0.5451507568359375, -0.9121662378311157, -0.3612572252750397, 0.4665078818798065, -0.5027294158935547, -0.6759032607078552, -0.00619103480130434, -0.31421175599098206, -1.0445054769515991, -0.7024670243263245, 0.0714886263012886, -0.36171916127204895, 0.05629831552505493, -0.9401229619979858, 0.3638131618499756, 0.4075895845890045, -0.7903078198432922, 0.36203211545944214, 0.352397620677948, 1.0944850444793701, -0.8631054759025574, 0.2713417410850525, 0.9576868414878845, 0.8966862559318542, 0.07539640367031097, 0.5747064352035522, -0.4508512616157532, -0.4034365713596344, 0.4987724721431732, -0.7213858366012573, 0.3426932990550995, -0.20898517966270447, -0.9677651524543762, 0.2480703443288803, -0.2679704427719116, -0.850487470626831, 0.3417583405971527, 0.185720294713974, -0.005634929984807968, -0.10019297152757645, -0.7123117446899414, 0.17675650119781494, 0.06663664430379868, -0.1414848417043686, -0.8784138560295105, 0.6729388236999512, 0.8402812480926514, 2.109825372695923, 0.3450451195240021, -0.23910635709762573, 0.18519289791584015, 0.39897093176841736, -0.4796132445335388, -0.1493268758058548, 0.2739674746990204, 0.26916030049324036, -0.9177655577659607, 0.7125766277313232, -0.19098418951034546, 0.5806810259819031, 0.28711220622062683, 0.18610544502735138, -0.672238290309906, 0.1253761649131775, -1.1264339685440063, 0.3588331937789917, -0.20656469464302063, -0.49294760823249817, -0.796251118183136, -0.357205331325531, -1.0828278064727783, 0.5671262145042419, 0.053174763917922974, 0.16353574395179749, -0.281150221824646, 1.2624047994613647, -1.4909640550613403, 0.5163426995277405, 1.4428194761276245, 0.3497413992881775, -0.7840468883514404, -0.13324426114559174, 0.23594343662261963, 0.11720683425664902, 0.42370718717575073, 0.7646185755729675, 0.5460018515586853, 0.019009988754987717, 0.529716968536377, -0.3515593409538269, -0.26847973465919495, -0.21530719101428986, -0.37535274028778076, 0.4045928716659546, 0.23499421775341034, -0.5537067651748657, -0.8226516842842102, 0.6110458374023438, 0.03102385625243187, -0.590080738067627, -0.8208733797073364, -0.45543622970581055, 0.1696937531232834, 0.5970506072044373, -0.35874035954475403, 0.8331345319747925, -0.7780353426933289, -0.6044586896896362, 0.9872767925262451, 0.7914897203445435, -0.3825411796569824, 0.2495405524969101, -0.24254874885082245, -0.5312312841415405, -0.15838824212551117, -0.13825608789920807, -0.5366957783699036, 1.3528996706008911, 1.8625311851501465, -0.8515905737876892, 0.6084007620811462, -0.49653977155685425, 0.035889431834220886, 1.0814471244812012, -1.3629988431930542, 1.7730023860931396, -0.4365585446357727, 0.034549809992313385, -0.6764112710952759, -0.26695379614830017, -0.46577590703964233, 0.7866411209106445, 0.18609729409217834, -0.6335340738296509, -0.4135216474533081, 0.4360324740409851, 0.7120956778526306, -0.2635965347290039, 0.050957147032022476, 0.6255075335502625, -0.24888178706169128, 0.689234733581543, 0.6708319187164307, -0.29657530784606934, 0.39606958627700806, -0.7473379373550415, -0.3917052149772644, -0.35676971077919006, -0.5245585441589355, -1.5493760108947754, 0.7793118357658386, 0.2744596600532532, -0.14141421020030975, -0.05808915197849274, 0.09594165533781052, -0.7414697408676147, 0.3841359317302704, 0.2895152270793915, -0.12936049699783325, 0.24918602406978607, -0.3978266417980194, 0.6187462210655212, -0.6399871706962585, -0.36926132440567017, -0.6240226030349731, -1.239997148513794, -0.35488903522491455, -1.0229341983795166, -0.6849843859672546, -0.17623797059059143, 0.6233433485031128, -0.3358122706413269, -1.1716092824935913, -0.1672811508178711, -0.5093981027603149, -0.7309844493865967, 0.5180054903030396, -1.6546261310577393, -2.0868661403656006, -0.4093897342681885, 0.19465596973896027, -0.9570098519325256, 0.011962438002228737, -0.5960810780525208, -1.6207222938537598, 0.4706237316131592, 0.1815098226070404, 1.1251533031463623, 0.7165873646736145, -0.1938556283712387, 0.9862951636314392, 0.12102163583040237, -0.1465008705854416, -1.0780082941055298, 0.061128128319978714, 0.603495717048645, 0.7926178574562073, 0.06990531831979752, 0.42894768714904785, -1.3624053001403809, 0.41181376576423645, -0.24492710828781128, 0.05049222335219383, 1.0458695888519287, -0.20197217166423798, 0.21451835334300995, -0.1619216948747635, -0.18903665244579315, -0.02584591694176197, -0.22984296083450317, 0.3266732692718506, -0.9038606882095337, -0.34769564867019653, -0.09491515159606934, -0.3356054425239563, 0.6462383270263672, 0.10061977803707123, -9.657947540283203, 0.910984992980957, -0.1044023260474205, -0.3146655559539795, 0.5253620743751526, 0.005570290144532919, -0.39735355973243713, -0.24980607628822327, -0.04394244775176048, -0.7261435985565186, 1.6844710111618042, 0.42932671308517456, -0.22960826754570007, -0.5754750370979309, -0.7685571312904358, -0.5084627270698547, -0.07930479198694229, -0.25410139560699463, -1.2935551404953003, -0.17954322695732117, 0.610571026802063, 0.25669151544570923, 0.4099273085594177, 0.10757765918970108, 0.5938405394554138, 0.4188339114189148, 0.10197365283966064, 0.3831331431865692, -0.7261911630630493, -0.23918920755386353, -0.5569890141487122, 0.46498581767082214, -0.64311683177948, 0.15035082399845123, -1.139706015586853, -0.42511534690856934, 1.2973411083221436, 1.442893385887146, 0.5485089421272278, -0.05788498744368553, 0.3074142038822174, 0.22666868567466736, 0.43254318833351135, 0.35829704999923706, -0.6897422671318054, 1.8217573165893555, 0.015911508351564407, -0.07770872116088867, -0.40149447321891785, 0.17672376334667206, 0.031043237075209618, 0.13484646379947662, -0.3530457019805908, 1.230465292930603, -1.3075116872787476, -0.08453064411878586, -1.2155214548110962, 0.06353944540023804, -0.23286108672618866, -0.025530312210321426, -0.3392542898654938, -0.5099282264709473, -0.3562157452106476, -0.5424401164054871, -0.2424393892288208, 0.9763309955596924, -1.8716778755187988, -0.5852252840995789, 0.5180838704109192, -0.5860880017280579, -0.9351385235786438, -1.0764963626861572, -0.17378784716129303, 0.33688655495643616, 0.9856316447257996, -0.2522706389427185, 0.7601555585861206, 0.26939472556114197, -0.00647666584700346, -0.7490537762641907, 1.1649069786071777, 0.17402419447898865, 0.5714585781097412, 1.3864413499832153, 0.2112073004245758, -1.5195754766464233, -0.38186439871788025, -0.7733356356620789, -0.026454351842403412, 0.2073563039302826, 0.5013273358345032, 0.32225608825683594, 0.5844503045082092, 0.7687260508537292, -0.2179408073425293, 0.9051632881164551, 0.29522350430488586, -0.3589046895503998, 0.01806681789457798, -1.3693811893463135, 0.6355922222137451, -0.3084617555141449, 0.1617700308561325, -0.3196076452732086, -0.6903915405273438, -0.12756073474884033, -0.3869014382362366, -0.3142147660255432, 0.17842353880405426, -0.2510828673839569, -0.6544783115386963, 0.9967569708824158, 1.1181890964508057, -0.30490919947624207, -0.21057748794555664, 0.10995887219905853, -0.22021855413913727, 0.6637247800827026, -1.6887601613998413, 0.12285804748535156, 0.06549983471632004, 0.13361653685569763, -0.8641963601112366, -0.4758477807044983, 0.6022633910179138, -0.9522955417633057, -0.04834112897515297, -1.1831510066986084, 0.40085533261299133, -0.3281586468219757, 0.38933977484703064, -0.28259608149528503, -0.03265928849577904, 0.1792672723531723, 0.520801305770874, 0.9645382165908813, -1.1761810779571533, 0.6096540689468384, -0.3279648721218109, 0.4532706141471863, 0.8099440336227417, 0.01529255136847496, -0.6813745498657227, -0.5934475064277649, -0.025290394201874733, 0.24244987964630127, 1.3078656196594238, 0.16000011563301086, -0.7968620657920837, -0.6510997414588928, -0.2338440716266632, 1.1062591075897217, 1.3425960540771484, 0.9363716840744019, 0.03307092934846878, -0.14336088299751282, -1.2284318208694458, 0.3518429696559906, -0.7175840735435486, -0.07022270560264587, 0.07419083267450333, -0.47239646315574646, 0.603863537311554, 0.4209500551223755, -0.49278783798217773, -0.11077891290187836, -0.5036801099777222, 0.24989578127861023, 1.012406587600708, -1.3056656122207642, 0.26892319321632385, -0.18640509247779846, -0.16798928380012512, -0.8440190553665161, -0.03595477342605591, -0.3323548138141632, 0.15702851116657257, 0.3114071488380432, 0.3466182053089142, -1.437099575996399, -0.5153826475143433, 1.9027482271194458, -0.25541526079177856, 0.41260460019111633, 0.502505898475647, 0.03560960292816162, -0.5424326062202454, -0.6074714064598083, 0.6249989867210388, -0.5330711603164673, 0.2153254896402359, -0.08291292190551758, -1.1278085708618164, 0.031900446861982346, -0.6420928239822388, 0.5213384032249451, -0.2605520784854889, -0.2607857882976532, 0.4039447605609894, 0.5148141384124756, 0.28520068526268005, 0.11485019326210022, 0.37997493147850037, 0.7159711718559265, 0.7151176929473877, 0.3382355570793152, -0.22269847989082336, -0.1356576383113861, 0.07620812207460403, -0.23523417115211487, 0.5270295143127441, 0.11142390221357346 ]
1,088
0704.1090
Yifu Cai
Yi-Fu Cai, Taotao Qiu, Yun-Song Piao, Mingzhe Li, Xinmin Zhang
Bouncing Universe with Quintom Matter
7 pages, 5 figures
JHEP 0710:071,2007
10.1088/1126-6708/2007/10/071
null
gr-qc astro-ph hep-ph hep-th
null
The bouncing universe provides a possible solution to the Big Bang singularity problem. In this paper we study the bouncing solution in the universe dominated by the Quintom matter with an equation of state (EoS) crossing the cosmological constant boundary. We will show explicitly the analytical and numerical bouncing solutions in three types of models for the Quintom matter with an phenomenological EoS, the two scalar fields and a scalar field with a modified Born-Infeld action.
[ { "created": "Mon, 9 Apr 2007 09:59:26 GMT", "version": "v1" } ]
2009-02-18
[ [ "Cai", "Yi-Fu", "" ], [ "Qiu", "Taotao", "" ], [ "Piao", "Yun-Song", "" ], [ "Li", "Mingzhe", "" ], [ "Zhang", "Xinmin", "" ] ]
07
[ 0.3715440332889557, -0.3799228072166443, -0.9263641834259033, -0.2096441388130188, 0.17406703531742096, -0.035120487213134766, -0.09039010107517242, 1.1268746852874756, 0.7489058971405029, 0.39503762125968933, -0.2802356481552124, 1.1655980348587036, -0.8523885607719421, -0.40473565459251404, 0.3037705719470978, -0.3340514302253723, 0.2782997190952301, -1.298116683959961, -0.6424193978309631, 0.15329881012439728, 0.28167352080345154, -0.911927342414856, -0.8233034610748291, -0.4442795515060425, -0.280086487531662, -0.59617018699646, 0.3724581003189087, 1.4046854972839355, -0.5568276643753052, 0.11905229091644287, 0.07497764378786087, 0.3794582188129425, -0.030627833679318428, 1.5043766498565674, -0.5205786228179932, 0.11043524742126465, 1.266391396522522, -0.8521878719329834, -0.9376431703567505, 0.09676910191774368, 0.5509639978408813, 1.9979103803634644, 0.4132644236087799, 0.3920976519584656, 0.8544027209281921, -0.8376843929290771, -0.7546172738075256, 0.4897580146789551, -0.053647950291633606, 0.39097779989242554, -0.6609180569648743, -0.6821138858795166, 1.6703749895095825, 0.016000661998987198, 0.1121864765882492, 0.1739104986190796, 0.7608142495155334, -0.5768066048622131, -0.2534683346748352, -1.0512667894363403, -0.6378116607666016, 0.19787634909152985, 0.43480420112609863, 0.008249622769653797, -0.037173736840486526, -1.3842018842697144, -0.5820415616035461, 0.0704498291015625, 0.785954475402832, 2.1541848182678223, -0.10901551693677902, 0.0632098913192749, -0.16971538960933685, -0.9288398623466492, 0.13790655136108398, -0.9965465664863586, -0.16896170377731323, 0.14025136828422546, 0.5264808535575867, -0.8165726065635681, -0.09133151173591614, 0.020151907578110695, -0.479948490858078, 0.19031818211078644, 0.810436487197876, 1.2829906940460205, -0.6230151057243347, -0.258577823638916, -0.4476640224456787, -0.4839748442173004, 0.32734107971191406, -1.1051807403564453, 0.5223842263221741, -1.202545404434204, 0.6942395567893982, -1.1221694946289062, -0.2539440989494324, -0.22072778642177582, -0.42311587929725647, 0.4962194859981537, 0.1292821764945984, 0.8482415080070496, 0.04751154035329819, 0.8290003538131714, 0.10597048699855804, 0.017211198806762695, -0.18440315127372742, -0.12428577989339828, 0.22238828241825104, 0.19882100820541382, -0.15333344042301178, -0.8116303086280823, 0.07477853447198868, 0.770636260509491, -1.3687806129455566, -0.13801293075084686, 0.6096740961074829, 0.9619231224060059, -1.8176122903823853, 0.20045846700668335, 0.23960237205028534, -0.014191161841154099, -0.318512886762619, -0.04245762899518013, 0.8233093023300171, -0.7686420679092407, 0.8159396648406982, -0.23176166415214539, -1.2539902925491333, 0.09583945572376251, -0.0629768967628479, -0.32548418641090393, -1.325632929801941, 0.46783217787742615, -0.6673919558525085, 0.9270641207695007, 0.9254369735717773, -0.39596930146217346, 0.2190106362104416, 0.795682430267334, 1.0065594911575317, -0.11423354595899582, -0.1212698295712471, 0.9083050489425659, 0.8351633548736572, 0.16023340821266174, 0.9054693579673767, -0.4736604392528534, 0.5493508577346802, 0.4539341926574707, 0.46480196714401245, -1.0883069038391113, -0.17542868852615356, 0.6842286586761475, -0.7401902675628662, 0.10577213019132614, 0.19427764415740967, 0.013522665947675705, 1.1234937906265259, -0.24207307398319244, 0.10719357430934906, -0.2577396035194397, 0.5748729109764099, -0.42528077960014343, 0.16810497641563416, 0.18920950591564178, -0.047665491700172424, -1.0513776540756226, -0.4284762740135193, 0.24722914397716522, -1.1097602844238281, -0.7732279300689697, -0.7143386006355286, -1.163405179977417, 0.20830531418323517, 0.7294821739196777, 1.7366803884506226, -1.0682361125946045, -1.0315710306167603, 0.11896416544914246, 1.0370254516601562, 0.7823905944824219, 0.6514885425567627, 0.5920541882514954, 0.6582480072975159, -1.2600431442260742, 0.1825295388698578, -1.3677833080291748, -0.9522665739059448, 0.6319888830184937, -0.16607607901096344, 0.20647166669368744, -0.046527985483407974, 0.16058729588985443, 0.4945133626461029, 0.8188482522964478, -0.26399296522140503, -0.8159271478652954, -0.7300757765769958, -0.3885049521923065, 0.9208492636680603, 0.9292449951171875, -0.6994860172271729, -1.4868950843811035, -1.0280789136886597, 0.2708413600921631, -0.9647608995437622, -0.20586813986301422, 0.4049748182296753, -0.4422725439071655, -0.8061665296554565, -0.3262538015842438, 0.10697218030691147, 0.4841780662536621, -0.0696796253323555, 0.25531426072120667, -0.28304851055145264, -1.1413050889968872, 1.4172264337539673, 1.5745302438735962, 0.5753083825111389, -0.0015160628827288747, 0.25052809715270996, -0.3562465012073517, 0.48467540740966797, 1.056700587272644, 0.04727520793676376, -0.04404318705201149, -0.6886696815490723, 0.5493761897087097, -0.495776891708374, 0.023671435192227364, -0.19378024339675903, -0.7829540371894836, -2.0746824741363525, 0.4710187315940857, 0.4223312437534332, -0.7622122168540955, -0.4721118211746216, 0.009215048514306545, -1.091665506362915, -0.2515936493873596, -0.6400293111801147, -0.2021407186985016, -0.31479814648628235, -0.14166435599327087, 0.29493314027786255, -1.1614878177642822, -0.8291211724281311, -0.46896010637283325, 0.6045370697975159, -1.2413841485977173, 0.9152097105979919, -1.7868605852127075, 0.5061076283454895, -0.1988333910703659, 0.5027023553848267, -1.1285066604614258, -0.9741655588150024, 0.5687382817268372, 0.9042827486991882, 0.27255764603614807, -0.15868757665157318, -0.4804679751396179, 1.534038782119751, 0.1310480684041977, 0.8892298340797424, -0.02271503396332264, -0.5429447293281555, 0.16788481175899506, -1.2845743894577026, 0.42016837000846863, -0.5904464721679688, -0.21580176055431366, -0.04623838886618614, -0.33996090292930603, 0.5828220248222351, -1.1458423137664795, 0.4400884509086609, 0.37051481008529663, 0.09093727916479111, 0.15347495675086975, 2.0440890789031982, 1.1891248226165771, 0.5473799705505371, -0.7804247140884399, -0.5246144533157349, -1.4534764289855957, -0.9208161234855652, 0.5197131633758545, -0.6435485482215881, 0.3384559452533722, -1.3270596265792847, -0.5016025304794312, -0.7088707089424133, -0.2118159830570221, 0.6560872793197632, -0.2793545722961426, 0.15524660050868988, -0.6550361514091492, 0.5816621780395508, 0.5591057538986206, -0.7407190799713135, 0.4063958525657654, 0.3983688950538635, 0.21588575839996338, 0.06588367372751236, 0.9015177488327026, -1.2478693723678589, -0.9752663969993591, 0.0042425356805324554, 0.3372228443622589, -0.12101702392101288, 0.9775394797325134, -0.4442596137523651, -0.8597844839096069, -1.8133116960525513, 0.48495399951934814, 0.3403308689594269, 0.3434005677700043, 0.3986048102378845, -0.09998912364244461, 0.518156111240387, 0.8399611115455627, -1.3731796741485596, 0.18694624304771423, -0.5309807062149048, 0.7404801249504089, -0.45268455147743225, 0.3480290174484253, -0.5780773162841797, 0.3167491555213928, 0.4028313457965851, 1.2089073657989502, -1.4283125400543213, -0.6137548685073853, 0.25674968957901, -1.1259610652923584, 0.10927554965019226, 1.1934999227523804, 0.26590463519096375, -0.261609822511673, 1.0494545698165894, 1.2408157587051392, -0.3877154588699341, -0.2305099219083786, 0.21946202218532562, 0.3091444671154022, -1.3278764486312866, -0.1445125788450241, -1.034805417060852, -0.1936405450105667, 0.13479860126972198, 0.229476660490036, -0.3901529610157013, 0.2659250497817993, 0.690028190612793, -0.0807621106505394, 0.34641602635383606, 0.020039953291416168, -0.6560360193252563, 0.5817112922668457, 0.7719330787658691, 0.3135314881801605, 1.493761420249939, -0.04373402148485184, -0.5351118445396423, -0.4994036853313446, -0.8361102938652039, -0.06546338647603989, -1.2422335147857666, 0.618323028087616, 0.1974792331457138, -1.4233168363571167, -1.5656455755233765, 0.2540569603443146, 0.5381866693496704, 0.28523513674736023, 0.3627954423427582, 0.5772585868835449, -1.1596448421478271, 0.48784276843070984, 0.24244122207164764, -0.4201415479183197, 0.23451344668865204, 0.8341206312179565, -0.8301486372947693, 0.7581472396850586, 0.23586730659008026, -0.13934724032878876, -0.6556985974311829, 0.4806656241416931, -0.2530035674571991, 0.046109724789857864, -1.2533090114593506, -0.3285031020641327, 0.6078034043312073, -0.27051204442977905, 1.671920895576477, -0.3855069577693939, -0.4910418689250946, -0.18351753056049347, -0.45483630895614624, -1.3284320831298828, -0.9430166482925415, -0.9455327391624451, 0.06523411720991135, -0.4227096438407898, 0.4459075629711151, 0.4863812029361725, -0.14220307767391205, 0.3866546154022217, 0.7706116437911987, -0.5901610255241394, 0.7622508406639099, 0.0871182456612587, -0.1403079330921173, 0.037420935928821564, -0.8585686683654785, 0.7311334013938904, 0.3420909643173218, -0.40462011098861694, -0.19124118983745575, 2.44342041015625, 0.49206507205963135, -0.9612895846366882, 1.0012716054916382, -0.03227812796831131, -1.5880975723266602, 0.08657489717006683, -0.5204739570617676, -1.238072395324707, -0.2758161723613739, -0.30119699239730835, -1.067699909210205, -1.165095567703247, -0.5210544466972351, 0.5095981359481812, 0.12769858539104462, -0.8867770433425903, 0.799957275390625, -0.20298801362514496, -0.24258685111999512, -0.6630344390869141, 0.4484921395778656, 0.23911504447460175, -0.355915367603302, -0.0787942111492157, -0.023762619122862816, -0.06542079150676727, 0.20866726338863373, -0.0051690819673240185, -0.11700845509767532, 0.4163232147693634, -0.1238139271736145, 0.3541904389858246, -0.3607875108718872, 0.7194990515708923, 0.07405402511358261, -0.49426281452178955, -0.0955766886472702, 0.18173108994960785, -0.2652120888233185, 0.17707917094230652, 0.06314053386449814, -0.06365183740854263, -0.23064616322517395, -0.41442084312438965, -0.5584813356399536, 0.5923997163772583, 0.9252691268920898, -1.3275152444839478, -0.9685800671577454, -2.076667308807373, 0.9316953420639038, -0.6221358776092529, -0.11969128996133804, -1.1359748840332031, 0.6112282276153564, -1.8038122653961182, 0.7885721325874329, 0.5544146299362183, -0.1374870091676712, 0.511795163154602, 0.8179327249526978, 0.2219819873571396, -0.6786755323410034, 1.066239595413208, 0.08786477148532867, -0.15212585031986237, 0.5363339185714722, -1.3336158990859985, -0.5625312924385071, -0.5252295732498169, 0.21433643996715546, 0.4377971887588501, 0.9856394529342651, 0.38583627343177795, 0.40415260195732117, 0.217778280377388, 0.09421641379594803, 0.5889788866043091, 0.8517233729362488, -0.17149242758750916, -1.0846582651138306, -0.729989230632782, -0.284717321395874, 1.0247611999511719, 0.41740044951438904, 0.35100069642066956, 0.18455998599529266, -1.4379761219024658, 2.1094577312469482, 2.138401508331299, 0.37829333543777466, -0.09214875847101212, -0.33204925060272217, -2.590397834777832, 0.651347815990448, -0.5281864404678345, -0.6183239221572876, -0.5448742508888245, 0.8556716442108154, -1.041137456893921, 0.4924966096878052, -0.42935067415237427, -0.5716657042503357, 0.3490530848503113, -1.1663837432861328, -0.49385467171669006, 0.2595399022102356, -0.09995294362306595, 0.8818802833557129, -1.340195655822754, -0.16188327968120575, -1.0064882040023804, -0.34303146600723267, 0.05608907341957092, 0.2734851539134979, -0.6617661118507385, -0.23409536480903625, 0.38679003715515137, -0.6724026799201965, 0.4443421959877014, 0.8088334798812866, -0.9757455587387085, 0.5631076097488403, -0.7350038886070251, -0.8742199540138245, 0.9500243663787842, 0.6225265860557556, -0.2500617802143097, -0.24344144761562347, 1.0934276580810547, 0.7379627823829651, -0.10402897745370865, -7.524316787719727, 0.7526758909225464, -0.7636664509773254, 1.1362569332122803, 0.23215603828430176, -0.8150851726531982, 0.5701916813850403, -0.6679622530937195, 0.15042345225811005, 0.6924825310707092, 0.5819233059883118, -0.36636945605278015, -0.7596483826637268, -1.0641140937805176, 0.4413842558860779, 0.5167684555053711, -1.394489049911499, -0.8160926103591919, -1.3753918409347534, 0.3129009008407593, -1.2774741649627686, 1.6769278049468994, 0.2792833149433136, 0.3031497001647949, -0.1116904765367508, 0.0006281103123910725, 0.10070734471082687, -0.29023849964141846, 0.03497246652841568, 0.35960349440574646, 0.08187664300203323, 0.7116953134536743, -0.06336508691310883, -0.31838154792785645, 0.49174878001213074, -0.16110998392105103, -1.1373573541641235, 1.1621450185775757, 0.6189460158348083, 0.3118264377117157, -0.273162305355072, 0.2151217758655548, -0.37227705121040344, 1.016518473625183, -0.6606538891792297, 0.8097096681594849, -0.714994490146637, 1.4427361488342285, 1.6830458641052246, -0.07846254110336304, -0.8197848200798035, -0.4558606445789337, -0.4092690348625183, -0.5638763308525085, 0.3569442331790924, 0.15899258852005005, 1.4614589214324951, -0.1714209020137787, -0.7590200901031494, -0.27333635091781616, 1.254591703414917, -1.575415015220642, 0.4209803342819214, -0.4193345606327057, -0.36945903301239014, -0.22818949818611145, -0.7102435231208801, 0.1281357705593109, 0.24071775376796722, 0.4173676073551178, 0.08707844465970993, -0.8040640354156494, 0.7096070647239685, -0.30474767088890076, -1.07970130443573, -0.2131386250257492, -0.34441572427749634, 1.420053243637085, -0.6146219968795776, -0.8445621132850647, -0.8161934614181519, 0.6257845163345337, 1.2311009168624878, -0.41398438811302185, 0.6603540778160095, -0.08117276430130005, 0.2808816134929657, 0.5136314630508423, -0.36382532119750977, -0.940507173538208, 0.4029434025287628, 0.452386736869812, 0.36709272861480713, -0.3923409581184387, -0.879889726638794, -1.3223356008529663, -0.5020067095756531, 0.2510156035423279, 0.08287432044744492, -0.32941940426826477, 0.29850125312805176, 0.20399649441242218, 0.059197016060352325, 0.5972261428833008, -0.03384222090244293, 0.19656488299369812, -1.2591376304626465, 0.049652062356472015, 0.396887868642807, -0.48540374636650085, 0.7353148460388184, 0.4896979331970215, 0.497678279876709, 0.16837742924690247, -0.0400395467877388, -1.1406818628311157, 0.4885995388031006, 0.5487231612205505, 0.3615511655807495, -0.19828100502490997, 0.8318161368370056, -0.5097225308418274, 0.1132294088602066, 0.025267986580729485, 0.09005381911993027, -1.0992296934127808, -0.9404105544090271, -0.890500545501709, 0.12758837640285492, 1.0886338949203491, -0.40203115344047546, -0.8240358233451843, 0.9967412948608398, 0.3901790380477905, -0.7658320069313049, -0.8511256575584412, 0.12034738063812256, 0.899567723274231, 1.1732736825942993, 0.6101326942443848, 0.9063027501106262, -0.06624551862478256, 0.014390958473086357, -0.48466768860816956, 0.9527851939201355, -0.6494898200035095, 0.19623711705207825, -0.12139908224344254, -0.16034884750843048, -0.5895494222640991, 1.1977028846740723, 0.9276835322380066, 1.0187463760375977, 0.9551775455474854, -0.13077080249786377, -1.3263349533081055, 0.15170343220233917, 0.42873671650886536, 0.04407449811697006, -0.7635208368301392, -0.6826270818710327, 0.5855947136878967, 0.473817378282547, 0.7743256688117981, -1.4484362602233887, -0.49561482667922974, 0.5699078440666199, -0.27950018644332886, -0.15572069585323334, -0.8139529228210449, 0.124945268034935, -0.25674009323120117, -1.0358000993728638, -0.797745406627655, 0.14248724281787872, 0.39366069436073303, 0.009756350889801979, -0.7480593323707581, -0.14732541143894196, 0.1363358497619629, -0.4775674641132355, -0.01760043203830719, -0.04903094843029976, -2.2827157974243164, -0.8851341009140015, -0.09510134160518646, -0.3973342478275299, 0.32072916626930237, -0.2798362672328949, -0.1141321063041687, 0.28510862588882446, -0.5208567380905151, -1.1793149709701538, 1.094685435295105, -0.39491763710975647, -0.22872047126293182, 0.45865362882614136, -0.6655953526496887, -0.0059840795584023, -1.0715762376785278, 0.38300755620002747, 0.5469170212745667, -0.24441367387771606, -0.27526673674583435, -1.3009144067764282, 0.031559739261865616, 0.0668964684009552, 0.03603370115160942, 0.7790119051933289, -0.29932624101638794, -0.18922245502471924, 0.24836407601833344 ]
1,089
0704.1091
Emil Akhmedov
I. Mullayeva
On the weight structure of cyclic codes over $GF(q)$, $q>2$
11 pages, no figures
null
null
null
math.NT
null
The interrelation between the cyclic structure of an ideal, i.e., a cyclic code over Galois field $GF(q)$, $q>2$, and its classes of proportional elements is considered. This relation is used in order to define the code's weight structure. The equidistance conditions of irreducible nonprimitive codes over GF(q) are given. Besides that, the minimum distance for some class of nonprimitive cyclic codes is found.
[ { "created": "Mon, 9 Apr 2007 10:23:23 GMT", "version": "v1" } ]
2007-05-23
[ [ "Mullayeva", "I.", "" ] ]
07
[ -0.5410848259925842, -0.03462786227464676, -0.16816915571689606, -0.9538716673851013, -1.272143006324768, -0.7294204831123352, -0.8362380266189575, -0.10565277189016342, -0.9692524075508118, -0.7413035035133362, 0.392609179019928, 0.40184012055397034, 1.2240396738052368, 0.1753578782081604, -1.6361756324768066, -0.8150025606155396, -1.644754409790039, -0.31507408618927, -0.6617748737335205, -1.8668999671936035, -0.3817824721336365, -0.17740732431411743, -0.40360745787620544, -0.4631269574165344, -0.18848446011543274, 0.6585139036178589, -0.3068639934062958, -0.4040233790874481, 0.3588216304779053, -0.25326624512672424, 0.8920606970787048, -0.8860654234886169, -0.8082176446914673, 1.324534296989441, 0.3517991602420807, 0.8484102487564087, -0.11782581359148026, -0.26321202516555786, 0.030490823090076447, -1.1240580081939697, 0.4774610698223114, 0.8755615949630737, 1.675926685333252, -0.5506997108459473, -0.8012632131576538, -1.07749605178833, 1.6556326150894165, 0.518979549407959, 0.709762692451477, 0.810526967048645, -0.25547051429748535, 1.1353422403335571, -0.8890691995620728, -0.17597821354866028, -0.9439809918403625, -0.7971773743629456, 0.05047640949487686, 0.021470604464411736, 0.2895086109638214, -0.1977613866329193, 0.15011286735534668, -0.5625298023223877, 0.11593779921531677, 0.42374715209007263, -0.13149112462997437, -0.35979893803596497, -0.7748766541481018, 0.750057578086853, 0.8584116697311401, 1.2190165519714355, 0.35844168066978455, -0.15914390981197357, -0.4477006793022156, 1.5930031538009644, 0.30906257033348083, -0.13767009973526, 0.06673143804073334, -0.4146323502063751, 0.6504151821136475, -0.7744490504264832, -0.6510927677154541, 0.7886275053024292, -0.8255868554115295, -0.5588459968566895, 0.6037384867668152, 0.7028636336326599, -0.37280353903770447, 1.4450773000717163, -0.48877617716789246, 0.7369885444641113, 0.05948817357420921, -0.35188060998916626, 0.0447046123445034, -0.0708753690123558, -0.9899221062660217, 0.2055738866329193, -0.41691601276397705, 0.17927654087543488, -0.38322892785072327, 1.0092049837112427, -0.42406532168388367, -0.13587698340415955, -0.3053097426891327, 0.5516740679740906, -0.2830212414264679, 0.5287143588066101, 0.003104593139141798, 0.2021040916442871, 0.5647110342979431, -0.3477850556373596, 1.146442174911499, -0.47875678539276123, 0.8980294466018677, 0.5934903621673584, 1.2302250862121582, 0.018583247438073158, -2.499375820159912, 0.029440967366099358, 0.42599618434906006, -0.24567089974880219, -0.5234861373901367, 0.347299188375473, -0.7901557087898254, -0.792293906211853, -0.5199298858642578, 1.5838885307312012, 0.1632332056760788, 0.27772030234336853, -0.2113952785730362, -0.8173902630805969, -0.040949638932943344, -0.29401764273643494, 0.4108943045139313, 0.336755633354187, 0.26726198196411133, 0.3389560878276825, 0.20072731375694275, -0.08386696130037308, -0.30114954710006714, 0.3587491810321808, 0.6005971431732178, -0.287862628698349, -1.0483920574188232, -1.05091392993927, -0.09890539199113846, 0.5262429118156433, -1.2935409545898438, 0.06463178247213364, -0.7284273505210876, -1.3179385662078857, -0.0020323023200035095, -0.3132059574127197, 0.5800153613090515, 0.3669283390045166, 0.9218069314956665, 0.30191290378570557, 0.5774624347686768, 0.4898246228694916, -0.7752294540405273, 0.7562368512153625, -0.28580334782600403, -0.7908299565315247, -0.3092666566371918, -1.358117938041687, -0.18120159208774567, -0.6103591918945312, -0.18477720022201538, -0.27439218759536743, -0.13617882132530212, -0.43321388959884644, 0.32107362151145935, -1.0464587211608887, 1.5244803428649902, -0.24429656565189362, 0.731970489025116, 1.520155429840088, 0.3962532877922058, -0.17645274102687836, 0.43602222204208374, 0.14696019887924194, -1.0512714385986328, 0.5188013315200806, -0.908025324344635, -2.0880510807037354, -0.6916738152503967, 0.23596346378326416, -0.3903219401836395, -0.016484148800373077, 0.5735996961593628, -0.37755680084228516, -0.9397432804107666, -1.3844809532165527, -0.15463373064994812, 0.17340683937072754, -0.09848523885011673, 1.1441023349761963, -0.619219958782196, 0.9079588651657104, 0.7400513291358948, -1.4809346199035645, -0.2227596938610077, -1.1814886331558228, -0.865143895149231, 0.317114919424057, -1.3029977083206177, 0.21260732412338257, 1.040178894996643, -0.4445708394050598, 0.15122777223587036, 0.6904487609863281, 0.41142696142196655, -0.8208200931549072, 0.13415633141994476, 0.38379448652267456, 1.4514808654785156, -0.9215933680534363, -0.2711981534957886, 1.2153970003128052, -1.0602282285690308, 0.6488531231880188, 0.6822500824928284, 0.30208638310432434, 1.418229103088379, 0.02499566785991192, 0.5704212784767151, 1.1982579231262207, 1.5633739233016968, -0.5128190517425537, -0.12449130415916443, -0.1838274747133255, 0.5278319716453552, -0.22580157220363617, 0.2653440237045288, 0.17036283016204834, 0.12407612800598145, -0.4580416977405548, 0.03084803931415081, -0.5720816850662231, 2.0076000690460205, 1.1332707405090332, -0.5272946357727051, 0.5605583786964417, -0.07970035076141357, 0.18771255016326904, -0.4063008427619934, -0.14878132939338684, -0.16230042278766632, 0.6532778143882751, -0.6569148898124695, 0.5461853742599487, -0.4995113015174866, -0.014680912718176842, -1.0683573484420776, -0.8741999864578247, -0.29944270849227905, 1.638796091079712, 0.31625664234161377, -1.0577536821365356, -2.021484613418579, -0.4026513993740082, -0.2151516228914261, 0.18938817083835602, 0.4968208372592926, -0.24777455627918243, -0.7623720765113831, -1.1658786535263062, -0.4345252513885498, -0.656411349773407, 1.3889704942703247, -0.857688844203949, -1.0320024490356445, 0.19058045744895935, 1.0533078908920288, -0.6760466694831848, -0.466195672750473, -0.6683660745620728, 0.6210992932319641, -1.551346778869629, -0.8123103380203247, -0.41939452290534973, 0.6453299522399902, 2.2784526348114014, -1.1301428079605103, -0.15961630642414093, -0.9076741337776184, -0.19914373755455017, -1.1945310831069946, 0.9767019152641296, 0.9124012589454651, -1.2827796936035156, -0.009014707058668137, 0.0061893160454928875, -0.3216157555580139, -0.6163882613182068, -0.09217309206724167, -0.41731002926826477, -1.008371114730835, 0.048592086881399155, -0.33066850900650024, 0.8756762742996216, -0.2954421043395996, -0.3096407949924469, 0.35181280970573425, 0.5637844204902649, 0.5188129544258118, -0.04069377854466438, -0.7667956948280334, -0.4772815406322479, -0.73248690366745, -0.08651382476091385, 0.483174204826355, 0.33229294419288635, 0.17464736104011536, -1.9670040607452393, -0.5294327735900879, -0.19055414199829102, -0.3205164074897766, -0.6737711429595947, -0.4448874592781067, -1.0325251817703247, -0.08283606171607971, -0.3763222396373749, 1.4347560405731201, -0.4713147282600403, 1.9124995470046997, -0.03229261934757233, -0.8690721988677979, -0.5241678357124329, 1.3186101913452148, 0.22581040859222412, -0.5049444437026978, 0.05003825202584267, -0.072996586561203, -0.1635461002588272, 0.1404552459716797, -0.7291978597640991, 1.073184609413147, 0.0619477778673172, -0.7820222973823547, -1.1160832643508911, -0.7602214217185974, 0.5994909405708313, -0.44286048412323, 0.7006435990333557, -0.05949582904577255, 0.6871172785758972, -1.207746148109436, 0.568294882774353, -0.33564281463623047, -0.26649007201194763, 0.7141493558883667, -1.1045374870300293, -0.218199223279953, 1.6646422147750854, 0.7398656606674194, -0.19224122166633606, 0.387813001871109, -0.12247811257839203, 0.20039813220500946, 0.07257584482431412, 0.44828861951828003, -0.08317936211824417, -0.15502791106700897, -0.800950825214386, -0.10173830389976501, -0.8396700620651245, -0.20278677344322205, -0.251179963350296, -0.38089844584465027, -0.8402264714241028, -1.375648021697998, -0.987578809261322, -0.15951848030090332, 0.14879442751407623, 0.08564314246177673, -0.5064536929130554, -0.8783663511276245, -0.5314344167709351, 1.0372074842453003, 0.07652047276496887, -0.8917301893234253, 0.29373595118522644, 0.948752760887146, 0.7680161595344543, 0.5578513741493225, 0.4444159269332886, -1.3165165185928345, -1.0886188745498657, -1.1764492988586426, -0.9362363219261169, 1.087287425994873, -0.4292055070400238, 0.2346905618906021, 0.2677738070487976, 0.6966274976730347, 0.5435437560081482, -0.6810518503189087, -1.1261851787567139, -0.9303266406059265, 1.259544014930725, 0.4481681287288666, 0.26356691122055054, 0.6048646569252014, -0.7823467254638672, -0.7925902605056763, 1.2730085849761963, 0.7433591485023499, -0.15582987666130066, -0.22470219433307648, 0.9542892575263977, 0.7472196221351624, 0.9061201810836792, 0.6120482683181763, 0.46635788679122925, -1.2530263662338257, -0.502061128616333, -0.3515090346336365, 0.03546144440770149, 0.7932742238044739, -0.4493935704231262, 0.27055037021636963, -0.7362053990364075, -0.2629227638244629, 2.0507395267486572, -1.3289413452148438, -0.21924053132534027, -0.7072842121124268, -0.1663096845149994, 0.13908721506595612, -0.7342890501022339, 0.19112983345985413, -0.7256357073783875, 0.11250650882720947, -1.029817819595337, 0.14110954105854034, 0.6736553311347961, -0.9165253043174744, 0.5252582430839539, -0.2251737415790558, -0.03887443244457245, -0.393254816532135, 0.5147919654846191, -0.6376631259918213, -0.40302419662475586, -1.214867115020752, -0.7959861159324646, -0.6874258518218994, 1.279999017715454, -1.2722793817520142, 0.6422058343887329, 0.5357896685600281, 0.2326877862215042, -0.4780726730823517, -0.7861522436141968, 0.05169858783483505, -0.10666018724441528, -0.9756231904029846, 1.073673129081726, -0.22690421342849731, 0.05762167274951935, -0.014413109980523586, 0.035560689866542816, 0.9862531423568726, -0.01651221327483654, 1.5228347778320312, 0.2712996006011963, 1.0362701416015625, 0.3506811261177063, 0.08529529720544815, 1.1297656297683716, -0.37734946608543396, -0.6707783341407776, -0.4606373906135559, -0.05473709478974342, 0.6054764986038208, -0.6288291811943054, -0.42604711651802063, 0.3621266782283783, 0.5535326600074768, 1.6353358030319214, 2.2107789516448975, 1.1982696056365967, -0.7287114262580872, 0.9193182587623596, -0.14534780383110046, 1.2022281885147095, -0.2101571410894394, 0.34254318475723267, -0.17408417165279388, 1.2804811000823975, 0.37146076560020447, 1.268224835395813, -0.5908148884773254, -0.4790651500225067, -1.0685776472091675, 0.5526984930038452, -0.4399912655353546, 1.146520972251892, -0.39555808901786804, 0.03124638833105564, 0.47459346055984497, -0.43683940172195435, -0.5170179009437561, -0.826110303401947, -1.7336503267288208, -0.1312577873468399, 0.06523824483156204, -1.5672250986099243, -0.2337077558040619, -0.3345450758934021, 0.5915735363960266, -0.52259761095047, 0.5123392939567566, -0.3264705538749695, -0.111918143928051, 0.15760499238967896, 0.43734076619148254, -2.911149501800537, 0.09037412703037262, -0.06835635006427765, 1.014329195022583, 0.1326976716518402, -0.357280969619751, -0.3896923065185547, 0.7536407709121704, 0.5594609379768372, -0.5738919973373413, -0.7056711912155151, 0.4964632987976074, -1.0640738010406494, -0.5590426921844482, 0.05751854181289673, -0.4519753158092499, 1.4892795085906982, 0.01957366056740284, -0.048679616302251816, -0.5728609561920166, 0.7528572082519531, -1.0586861371994019, 0.586621880531311, 0.19689317047595978, -0.004250365775078535, 0.3596961200237274, -0.16164126992225647, 0.9419456720352173, 0.050485096871852875, 0.22988805174827576, -0.01823108084499836, 0.2885289192199707, -0.8533178567886353, -0.9094234108924866, -0.21382346749305725, 0.5671746134757996, 0.6511586904525757, -0.3369089365005493, 1.0310029983520508, -6.592354774475098, 0.41026797890663147, -0.5195711255073547, 0.5573041439056396, -0.3103431761264801, -0.4946654736995697, -1.1702574491500854, 0.6269930601119995, -0.4791581630706787, 0.585046112537384, -0.26392364501953125, 0.9312306642532349, -1.0621435642242432, -0.6965479254722595, -0.4594101309776306, -0.7671091556549072, 0.28908663988113403, 0.5924587249755859, -0.1870858371257782, -1.7018299102783203, 0.17152827978134155, -0.15431854128837585, 0.6944084167480469, 0.028833361342549324, 0.6564058065414429, -0.27359455823898315, 0.0230588186532259, -0.7835128903388977, 0.18362955749034882, 0.28859052062034607, 0.2425491213798523, -0.6034262180328369, 0.1831519454717636, 0.8042106032371521, 0.11154447495937347, -0.5362491011619568, -0.8558347225189209, 0.34306222200393677, -1.5283435583114624, -1.606053113937378, 0.26072990894317627, 0.3332172632217407, 0.9783076047897339, -0.10921595245599747, -0.4173700213432312, 0.16259782016277313, 0.620841383934021, 0.049399856477975845, -1.3320926427841187, -0.2583525776863098, -0.25285768508911133, -0.7212908267974854, 0.6612915992736816, -0.25223684310913086, 1.0468895435333252, -0.2325335144996643, 0.07428623735904694, 0.21940666437149048, -0.36868464946746826, -0.5461364984512329, -1.6890581846237183, -0.08065126836299896, -0.6164035797119141, 1.4389585256576538, 0.6419375538825989, 0.2786928415298462, -0.11374178528785706, -0.05096092075109482, 0.2685164511203766, 0.7028459310531616, -0.7122557759284973, -0.4442368447780609, 0.8470559120178223, -0.6195529699325562, 1.5566589832305908, -0.29972201585769653, -1.0310264825820923, -0.5747974514961243, -0.6826664805412292, -1.2254201173782349, 0.47974175214767456, 1.1050132513046265, -1.2199195623397827, 1.2575875520706177, -0.4848445951938629, -0.5879203677177429, 0.08748716861009598, 0.08804909139871597, 0.46020272374153137, 0.46209797263145447, -0.36486539244651794, 0.31879493594169617, -0.21469224989414215, 0.4057404100894928, -0.31533148884773254, 0.04233182594180107, -0.2641867697238922, -1.3738845586776733, -0.2556045949459076, 1.030997633934021, -0.2842290699481964, 0.43986499309539795, 0.3040284216403961, 0.5316935777664185, 0.196061909198761, 1.3452619314193726, 0.818958044052124, -0.4298131763935089, -0.6740666031837463, 0.09472911059856415, -1.178370475769043, -0.7868640422821045, 0.15594257414340973, -0.41288918256759644, -1.0533981323242188, 0.2662340998649597, -0.6238654255867004, -0.5313102006912231, 0.9125055074691772, 0.15094342827796936, -0.3508051633834839, -0.18137525022029877, -0.004147687461227179, -0.861416757106781, 0.1623520404100418, 0.5519732236862183, -1.361362338066101, -0.7821323275566101, 0.22680586576461792, 0.4707189202308655, 0.9904177188873291, 0.2857310175895691, -0.057892970740795135, -0.16244342923164368, -1.2282342910766602, -1.2738120555877686, -1.1305071115493774, 0.7294002771377563, -0.09190859645605087, 0.34827443957328796, -0.3416217565536499, -0.3493906557559967, -0.052256982773542404, 0.4513850510120392, -0.0367915965616703, 0.563454270362854, 0.3518432676792145, -0.29866823554039, -0.05951263755559921, 0.5654111504554749, 0.32819363474845886, 0.3151564598083496, 0.5428813695907593, -0.8484909534454346, 0.10377892106771469, -0.17536109685897827, -1.4185370206832886, -0.6742139458656311, -0.5795028209686279, 1.2785487174987793, 0.0723034143447876, 0.2739557921886444, 0.23634912073612213, 0.7848431468009949, -1.2071493864059448, 0.7333179116249084, 0.5460741519927979, -1.2484512329101562, 0.660569965839386, -0.5760912299156189, 0.14015141129493713, -0.6182095408439636, 0.021617915481328964, 1.692987084388733, 0.10886070877313614, -0.27557480335235596, -0.09789572656154633, 0.6454361081123352, 2.0875070095062256, -1.4765839576721191, 0.5639747977256775, -0.5893436074256897, -0.44734400510787964, 0.5614595413208008, -0.05087638273835182, 1.459214210510254, -0.25798478722572327, 0.777834415435791, 1.2149072885513306, -1.8301602602005005, 0.6738529205322266, -0.4594520628452301, -0.6908636689186096, 0.24486945569515228, 0.08914893865585327, -0.16266563534736633, 1.1416923999786377, -0.7749454975128174, 1.6624106168746948, -0.23492559790611267, 1.2342585325241089, 0.9825533628463745, 0.5257826447486877, 0.028579941019415855, 1.4196653366088867, -0.5552289485931396, -0.36623749136924744, -0.594821572303772, 0.8899511694908142, -0.8395900130271912, 0.38505104184150696, -0.5404776334762573 ]
1,090
0704.1092
Motohisa Fukuda
Motohisa Fukuda, Michael M. Wolf
Simplifying additivity problems using direct sum constructions
5 pages
J. Math. Phys. 48, 072101 (2007)
10.1063/1.2746128
null
quant-ph
null
We study the additivity problems for the classical capacity of quantum channels, the minimal output entropy and its convex closure. We show for each of them that additivity for arbitrary pairs of channels holds iff it holds for arbitrary equal pairs, which in turn can be taken to be unital. In a similar sense, weak additivity is shown to imply strong additivity for any convex entanglement monotone. The implications are obtained by considering direct sums of channels (or states) for which we show how to obtain several information theoretic quantities from their values on the summands. This provides a simple and general tool for lifting additivity results.
[ { "created": "Mon, 9 Apr 2007 11:13:38 GMT", "version": "v1" }, { "created": "Tue, 21 Aug 2007 10:11:43 GMT", "version": "v2" } ]
2007-08-21
[ [ "Fukuda", "Motohisa", "" ], [ "Wolf", "Michael M.", "" ] ]
07
[ -0.14406688511371613, 0.6938730478286743, 1.5495928525924683, 0.14296258985996246, 1.1893246173858643, -0.2204902172088623, 0.4785638749599457, -0.6363661885261536, -1.6420221328735352, -1.7263054847717285, 0.30388057231903076, -0.4066792130470276, 1.5505220890045166, -0.6112014651298523, -2.397218704223633, -0.15517005324363708, -0.04777313396334648, 0.16173642873764038, -0.07136990875005722, -1.5678669214248657, -0.5157057642936707, -0.29392921924591064, -0.03137516230344772, -1.1267493963241577, -0.30371978878974915, -0.3995024263858795, 0.13945356011390686, 0.41622573137283325, -0.8684772253036499, 0.27640610933303833, 0.8923256397247314, -0.2770858407020569, 0.04840441793203354, -0.15887196362018585, 0.08181212842464447, 1.1377547979354858, -1.0991320610046387, 0.23292936384677887, -0.7160055041313171, -0.3816227614879608, -0.7850905060768127, 0.4981074929237366, 0.2628854513168335, 0.09062591195106506, -0.8139684200286865, 0.9430320858955383, -0.11696211248636246, 0.5575573444366455, 0.0373249277472496, 1.1447011232376099, -0.5695862770080566, 0.18993578851222992, -1.3124926090240479, -1.0209333896636963, -0.15486125648021698, 0.18900953233242035, -0.39602112770080566, -0.7380325198173523, -1.6167179346084595, 0.10324063897132874, 0.29741334915161133, 0.2740793228149414, 0.6839343309402466, 0.13676339387893677, 0.5395585298538208, 0.510385274887085, 0.20167827606201172, 1.1745433807373047, 0.4202093482017517, -0.6301460862159729, 0.2911893129348755, 0.17328044772148132, -0.7350535988807678, -1.2296439409255981, 0.8918277025222778, 0.37374481558799744, -0.1731061041355133, 0.03503471985459328, 0.7011833190917969, -0.5042462348937988, 1.2382136583328247, 1.2963669300079346, -0.21713058650493622, -0.05463657155632973, 0.0848100334405899, 0.7454687356948853, -0.17910164594650269, 0.6813638806343079, -1.7528964281082153, 0.7171275615692139, 0.6087417006492615, 0.9768306612968445, -0.33421164751052856, 0.17978975176811218, -0.7022455930709839, -0.5885363817214966, 0.3764098286628723, 0.5210763216018677, 1.1373218297958374, 0.3269287347793579, 0.3526221513748169, 0.06589948385953903, -0.42131975293159485, 1.0635241270065308, -0.880887508392334, 0.6401382088661194, 1.0931471586227417, 0.1628466248512268, -0.861506462097168, 0.3445976674556732, 0.8732314109802246, -1.0746675729751587, -0.6879347562789917, 1.027090311050415, -0.9488271474838257, -0.3435255289077759, 0.6533309817314148, 0.6980209946632385, 0.11144361644983292, 0.3137211203575134, 0.28641214966773987, -0.48987674713134766, 0.3547109365463257, -0.25151312351226807, -0.10904058814048767, 0.07659359276294708, 0.10957392305135727, -1.022233247756958, -0.18877042829990387, -0.2952243387699127, 0.4469809830188751, -0.24595576524734497, -0.20240169763565063, -0.24360351264476776, -0.23195098340511322, 0.2517284154891968, -0.8174857497215271, -0.08950439840555191, -0.4239833950996399, 0.8334623575210571, 0.6930363178253174, 0.24365627765655518, -0.7824127674102783, -1.5020124912261963, -0.8959283232688904, 0.290083110332489, -0.16915041208267212, -0.3531331717967987, 0.2146933525800705, -0.1651523858308792, 0.6148516535758972, -0.4942449629306793, 0.17042730748653412, -1.2223544120788574, -0.08637186139822006, -0.1697498857975006, 1.0545015335083008, 0.7199677228927612, -0.583804726600647, -0.11262035369873047, -0.55306077003479, -1.5556979179382324, 1.2301554679870605, 0.21845614910125732, -0.039791420102119446, -0.13263140618801117, -0.6147397756576538, -0.2963593006134033, 1.1976783275604248, -1.1656893491744995, -0.2723371088504791, -0.034001052379608154, -0.3557283580303192, 0.4581727981567383, -0.4883829653263092, -0.7617194652557373, 1.1049779653549194, 0.5984624028205872, 0.4198513329029083, 0.9218863248825073, 0.28394702076911926, 0.21723811328411102, 0.13085731863975525, -1.364818811416626, 0.050244759768247604, -1.018110752105713, -0.9345602989196777, 0.5299198031425476, -0.3013162910938263, 0.5542805790901184, -1.2587708234786987, 0.17226500809192657, -1.935605525970459, 0.28891870379447937, 0.21935412287712097, 0.8219709396362305, -0.22212974727153778, 0.5508431196212769, -0.9988148212432861, 0.8591501116752625, -0.006666993722319603, -0.9227763414382935, -0.02240660972893238, -1.1742643117904663, -0.31479087471961975, 0.5812709331512451, -0.24420784413814545, -0.012601722031831741, -0.916065514087677, -1.1062601804733276, 0.1985098123550415, 0.0636797770857811, 0.2913098931312561, -0.004910724237561226, 0.5087680816650391, 0.011339913122355938, 0.5897761583328247, -0.5960473418235779, -0.3765481412410736, 0.8253236413002014, -0.017804455012083054, 0.6157745718955994, 0.16546979546546936, -0.190878227353096, -0.25735244154930115, -0.2088770568370819, -0.39046233892440796, 1.5539451837539673, 0.7337170243263245, -1.6051238775253296, 1.0499696731567383, -0.7093337774276733, 0.06659337878227234, -0.019968576729297638, -0.10663674771785736, -0.05994978919625282, -0.9018312096595764, -0.5506330728530884, 0.3708198368549347, 1.6784915924072266, -0.68833988904953, -0.5218445062637329, -1.5194904804229736, 0.3944663405418396, 0.20615097880363464, -0.3079419732093811, -0.12765789031982422, -0.3311729431152344, -1.206771969795227, 0.347313791513443, -0.5610129833221436, -0.17649626731872559, 0.023022809997200966, 0.8593745231628418, -1.9781299829483032, -0.28465649485588074, -0.08104448020458221, -0.9835503101348877, 0.02513301745057106, -0.7009078860282898, 0.5517987608909607, -0.7018446326255798, 0.7217714786529541, 1.1159048080444336, -0.9836715459823608, -2.0460755825042725, 1.0642414093017578, 0.024830305948853493, 0.7408676743507385, 0.04299432039260864, -0.7054994702339172, 0.5088205337524414, 0.04652489349246025, 0.16505242884159088, 0.3178187608718872, -0.22612375020980835, 0.14193418622016907, -0.4993925392627716, 0.42258766293525696, -0.9271121025085449, -0.6516951322555542, 1.7716219425201416, -1.1983507871627808, -0.11250344663858414, -1.0040290355682373, -1.1378378868103027, -0.07275386899709702, 0.7770176529884338, -0.5473114848136902, -1.0813130140304565, -1.0065395832061768, 0.2680366039276123, -1.2128825187683105, 1.5533373355865479, -1.2711777687072754, -1.7949800491333008, -1.0767027139663696, -0.6484277248382568, 1.2073118686676025, -0.026589905843138695, -0.7343786358833313, 0.25646552443504333, -0.6333062648773193, 0.22983674705028534, 0.17312215268611908, -0.254802405834198, 0.3031010329723358, 0.5682656168937683, -0.1331769824028015, 0.21197053790092468, 0.2579086720943451, -1.516037106513977, 0.23157930374145508, -0.07465613633394241, 0.8072478175163269, 1.1554183959960938, -0.6749928593635559, 0.05509188026189804, 0.9913195371627808, -1.2012958526611328, -0.2329145222902298, 0.7482277154922485, -0.034284401684999466, -0.2907993197441101, -0.14749523997306824, -0.03827318549156189, -0.585120677947998, -0.2989595830440521, 1.3573453426361084, -1.089918613433838, -0.08551716804504395, -0.36489516496658325, 0.12132683396339417, 1.1735659837722778, 1.1068395376205444, -0.36913737654685974, -1.4137260913848877, -0.07456006109714508, -0.45616433024406433, -0.8074435591697693, -1.2414977550506592, -0.05839414522051811, -0.26586514711380005, 0.5185385942459106, -0.8175105452537537, 0.10516269505023956, -0.6431876420974731, -0.40391334891319275, 0.4864971935749054, -0.015546087175607681, 0.19777730107307434, -0.25588563084602356, -0.30129924416542053, 0.2161559909582138, 1.7409943342208862, -1.2547931671142578, 0.1800602823495865, 1.6769922971725464, -0.09932853281497955, -0.22705517709255219, 0.8149117827415466, 0.28145653009414673, 0.16065140068531036, -1.1390137672424316, 0.1814737766981125, 0.22470584511756897, -0.6873072385787964, 0.03311324492096901, -0.5332480669021606, 0.5409681797027588, -0.9301891922950745, -0.28405457735061646, -0.38757383823394775, 0.05631721019744873, -0.9045602083206177, -0.7452214360237122, -0.5752367377281189, 0.8062338829040527, 1.0490154027938843, 0.13604752719402313, 0.12029675394296646, 2.0170068740844727, -0.3818771243095398, 0.12158416956663132, 0.02906772680580616, -0.18269681930541992, -0.2753415107727051, 0.704012393951416, -1.5326682329177856, -0.06301043182611465, 0.9489749073982239, -0.2084353119134903, -0.6140199899673462, -0.7747772932052612, -0.921664297580719, 0.9307969808578491, -0.5515739917755127, -0.028984535485506058, -0.5144548416137695, 0.625984787940979, -0.20157365500926971, 0.3614616394042969, -0.5583264231681824, -0.9382631182670593, -0.226508229970932, 0.7546136379241943, 0.7033857107162476, -0.2947777509689331, -0.5104452967643738, -1.0631967782974243, -0.05441631004214287, -0.5762746930122375, -0.23220133781433105, -0.07208357751369476, -0.12747225165367126, -0.8752480149269104, -1.1397322416305542, -0.7711338400840759, 0.07851466536521912, -1.2278497219085693, 0.7326458096504211, -0.1346980780363083, 0.801286518573761, 0.4357762634754181, -0.3928520679473877, 0.9752784967422485, 0.40038326382637024, 0.004729022737592459, -1.0144646167755127, -0.6732994914054871, -0.39713817834854126, -0.3676896393299103, -0.315062016248703, 1.2301522493362427, -0.44172728061676025, -0.5400622487068176, -0.8071807026863098, -0.10361749678850174, 0.19179770350456238, -0.17365598678588867, 0.0509997233748436, 1.651430606842041, 0.6289437413215637, 1.1044670343399048, -0.6742700338363647, 0.1380014270544052, -0.5506212115287781, 0.6591672897338867, -0.322109192609787, 0.21910180151462555, 0.3835485577583313, 1.1282368898391724, 0.2761353850364685, -0.6870431900024414, 0.6179313659667969, -0.92069011926651, -1.1424429416656494, 0.5316017270088196, -0.32075098156929016, 0.9420215487480164, -0.2087535411119461, -0.585204541683197, 1.0754441022872925, -1.2424973249435425, 0.12008312344551086, 0.09250123053789139, 0.4433459937572479, 0.5888494253158569, -2.2634329795837402, 1.020122766494751, -0.5627095103263855, -1.303713321685791, 0.7313674688339233, 0.3481869697570801, -1.0145208835601807, -0.0064722588285803795, -0.6390215754508972, -0.5134168863296509, 0.7608159780502319, 1.9726502895355225, 0.9463229179382324, 0.2672073245048523, -0.9027082324028015, -0.46130895614624023, -0.4974987208843231, 0.32061004638671875, -0.059056300669908524, -0.5767624974250793, -0.14641787111759186, 0.269515722990036, 0.4971810579299927, -0.15687352418899536, 0.2720649540424347, -0.32577425241470337, -0.6130504608154297, 0.06120390072464943, -0.2558582127094269, -0.5067865252494812, -0.8049271702766418, -0.0716710016131401, 0.1452503651380539, -0.3272814452648163, -0.5608537197113037, -1.2859221696853638, -0.7953765392303467, 1.2027333974838257, 0.1130039244890213, -0.05221600458025932, 0.974383533000946, -0.08233394473791122, -1.356412410736084, -0.1561122089624405, 0.7500389814376831, -0.11860475689172745, -0.14571647346019745, 0.30561137199401855, -0.7429448366165161, -2.8415169715881348, 0.6856014132499695, -0.3228723704814911, 0.49143335223197937, -0.18914227187633514, -0.14914216101169586, -0.2864903211593628, -0.31093868613243103, -0.055019788444042206, 0.4446760416030884, -0.9061506390571594, -0.40875157713890076, 0.022668058052659035, 0.6732379198074341, 0.04659361392259598, 0.9934889674186707, 0.9203178882598877, -0.40382856130599976, 0.5364136695861816, -0.17184890806674957, 0.846229612827301, -0.2360241860151291, -0.40900659561157227, 0.48758837580680847, -0.4406171143054962, -0.11362554877996445, -0.6301273703575134, 0.38133734464645386, 0.17153213918209076, 0.09624318778514862, 0.9095492362976074, -0.3972488343715668, 0.4047318398952484, 0.4125247597694397, 0.09593307971954346, 1.11521315574646, -0.28653934597969055, -0.6823896765708923, 0.7010344862937927, -7.330804347991943, 0.4686059057712555, -0.1686612069606781, 0.557466983795166, 0.526645839214325, -0.15944184362888336, 0.4097575843334198, 0.3923570513725281, -0.4320911169052124, 0.13274097442626953, 0.15552201867103577, 0.5249415040016174, -0.09778188914060593, 0.8254256248474121, 0.8865194916725159, -0.8869397044181824, 1.1091759204864502, 1.0406228303909302, -0.6663250923156738, 1.1864694356918335, -1.0933852195739746, -0.3896643817424774, -0.25646257400512695, 0.4626680016517639, 1.102900743484497, -0.43536660075187683, -0.465962290763855, -0.5520623326301575, 0.04725150763988495, -0.07202829420566559, -0.476526141166687, 0.30662113428115845, -0.8146628141403198, 0.330850750207901, 0.7889742851257324, -1.9747254848480225, 0.23851577937602997, 0.548625648021698, -1.5895893573760986, -0.17276805639266968, -0.2262241542339325, -0.3895111382007599, 0.47059178352355957, -0.6149609684944153, -0.39884915947914124, 0.7545267939567566, -0.54889976978302, -0.6551193594932556, -0.3616221249103546, 0.30657458305358887, 0.2196536511182785, -1.2365450859069824, -0.003799693426117301, 0.6346568465232849, 0.4606456756591797, -0.09111694246530533, -0.8091181516647339, 0.04411986470222473, 0.2077961415052414, -0.7172260880470276, -0.48946046829223633, -0.7972593307495117, 1.2447489500045776, -0.07312288135290146, -0.03251976519823074, 0.8097342252731323, 0.8037440180778503, 0.007046104874461889, -0.5433580875396729, 0.6791207790374756, -1.668190598487854, 0.3457493484020233, 1.1778521537780762, -0.8120660185813904, -0.6759394407272339, -0.21377810835838318, -0.1448611170053482, 0.5133202075958252, 0.21788010001182556, 0.640651285648346, 0.6435098648071289, 0.9883835315704346, -0.03450097143650055, 0.672236442565918, 0.03274894505739212, -0.04701833426952362, -0.2569423317909241, -1.7957478761672974, 0.9975165128707886, 0.18112187087535858, -0.508397102355957, 0.6840965151786804, -0.13703787326812744, 0.10272771865129471, -0.21100471913814545, 0.7980225682258606, 0.5236341953277588, -1.7458194494247437, -0.11805424094200134, 0.6705440282821655, -0.5028136372566223, -0.2975848317146301, 1.2235900163650513, 0.06743624061346054, 0.6989473104476929, 1.522178292274475, -0.40684056282043457, 0.49728506803512573, 0.2084496170282364, -0.14986258745193481, -0.2324821650981903, -1.453126072883606, -0.1496010422706604, -0.9415814876556396, -1.5630306005477905, 0.4095587730407715, -0.12394493073225021, -0.08196613192558289, -0.5209980607032776, -0.2386973649263382, -0.7449619174003601, -1.1676697731018066, 1.3899949789047241, 0.7731013298034668, -0.15976840257644653, 0.06843251734972, -0.01708383671939373, -0.18373246490955353, -0.2840529680252075, 0.16091212630271912, 0.3419482707977295, -1.1296409368515015, -1.305507779121399, 0.27951207756996155, -0.9569697976112366, -0.45766204595565796, -1.4327120780944824, 0.4818536341190338, -0.773310661315918, 0.2977343201637268, -0.06544074416160583, 0.5771339535713196, -0.09796971827745438, 1.392816185951233, -0.014047190546989441, 0.4160114824771881, 0.28366410732269287, 0.7849637269973755, -0.39742982387542725, -0.5287140607833862, -0.19409094750881195, -0.24681630730628967, 0.20785361528396606, -0.7741718292236328, 0.06152956560254097, -1.3010938167572021, -0.9248911142349243, -0.38179489970207214, -0.5158926844596863, 0.5719133019447327, 0.2394898533821106, -0.37708520889282227, 1.9182289838790894, 1.423785924911499, 0.6131150722503662, -1.9381009340286255, 0.5952083468437195, -0.3705410957336426, 1.03689706325531, 0.19841386377811432, 0.7724171280860901, -0.3808406591415405, 1.2441306114196777, 1.6161208152770996, -0.18463121354579926, -0.4009585380554199, -1.7989819049835205, -0.41649386286735535, 0.12426035851240158, -1.6068954467773438, 0.9427991509437561, 0.3545193374156952, -0.38692688941955566, 0.34357750415802, -0.1123768538236618, 1.6475920677185059, -0.470038503408432, 0.5745334029197693, 2.098877429962158, -0.2047523409128189, 0.8025697469711304, 0.48517754673957825, -0.7150163054466248, 0.8708183765411377, 0.8540774583816528, 0.294695109128952, -0.50623619556427, 0.23287314176559448, 0.8179413080215454, 1.385911226272583, -0.0489061139523983, 0.4003928005695343, 0.9493854641914368, 0.1812526285648346, -0.34904468059539795, -0.3069697618484497, -0.21891991794109344, 0.9557931423187256, 0.06347296386957169, -0.041695404797792435, 0.45397061109542847, 0.42960768938064575 ]
1,091
0704.1093
Evgeny Doktorov
E.V. Doktorov and M.A. Molchan
Modulational instability in nonlocal Kerr-type media with random parameters
6 pages, 12 figures, revTeX, to appear in Phys. Rev. A
Phys. Rev. A 75, 053819 (2007)
10.1103/PhysRevA.75.053819
null
nlin.PS nlin.CD
null
Modulational instability of continuous waves in nonlocal focusing and defocusing Kerr media with stochastically varying diffraction (dispersion) and nonlinearity coefficients is studied both analytically and numerically. It is shown that nonlocality with the sign-definite Fourier images of the medium response functions suppresses considerably the growth rate peak and bandwidth of instability caused by stochasticity. Contrary, nonlocality can enhance modulational instability growth for a response function with negative-sign bands.
[ { "created": "Mon, 9 Apr 2007 10:38:23 GMT", "version": "v1" } ]
2009-11-13
[ [ "Doktorov", "E. V.", "" ], [ "Molchan", "M. A.", "" ] ]
07
[ 0.506464421749115, -0.6443843841552734, -1.0478641986846924, 0.23580655455589294, 0.906742513179779, -0.4567192792892456, 0.17029696702957153, -1.1362617015838623, 0.17266957461833954, -0.43103137612342834, -0.3349575400352478, -0.8437629342079163, -0.20324358344078064, 0.45137038826942444, 0.19405026733875275, -0.36485376954078674, 0.44346511363983154, -0.9664903879165649, -0.3735279440879822, 0.694124698638916, 0.67262202501297, 0.8287020325660706, 0.851581871509552, 0.5639656782150269, 0.3337235748767853, -0.6998693346977234, -1.196694254875183, 0.07984885573387146, -0.6287519931793213, -0.2825981080532074, 1.625032663345337, -0.10908409208059311, -0.3542100489139557, 0.12497162073850632, 0.6009785532951355, -0.34170031547546387, 1.569869041442871, 0.7579525113105774, -0.7252874374389648, -1.2836662530899048, -1.5112320184707642, -0.022937705740332603, -0.8545394539833069, 0.05707022547721863, 1.0213079452514648, 0.2549448609352112, 0.9660313725471497, 0.003800954669713974, -0.20260506868362427, 1.0511775016784668, 1.825798511505127, 1.5080925226211548, 0.13489758968353271, -0.4184712767601013, 0.6916335225105286, -0.6826204657554626, 0.316430926322937, 0.5176436901092529, 0.09401018917560577, 0.36329537630081177, 1.0144177675247192, 0.03361329063773155, 0.4541933238506317, -1.6272326707839966, -0.4621276259422302, -1.2516372203826904, 0.6007922291755676, 1.2862462997436523, -0.5320820808410645, 1.0837430953979492, 0.5377747416496277, -0.3948749303817749, -1.0783387422561646, 0.51759934425354, -2.538662910461426, 0.6891524195671082, -0.803885281085968, -0.25780993700027466, 0.2351497858762741, 0.3787550628185272, 0.09423478692770004, 1.2072844505310059, 0.439106822013855, -0.8457624316215515, -0.46987512707710266, -1.1285834312438965, -0.11608085036277771, -0.34715843200683594, -0.3210545480251312, -0.31524693965911865, -0.3576250970363617, -1.2765238285064697, -0.12211386114358902, -0.8138140439987183, 1.2254918813705444, 0.3483121991157532, -0.5735735297203064, 0.12329943478107452, 0.6459422707557678, 0.7127892971038818, 0.6635123491287231, 0.2992827296257019, -0.3442883789539337, -0.28700879216194153, 1.0996004343032837, -0.09467943012714386, 0.953251302242279, -0.8695446848869324, -0.3429246246814728, 0.33941566944122314, 0.41562601923942566, 0.29266107082366943, 0.6256572008132935, 1.1096527576446533, 1.568704605102539, 0.9933390021324158, 0.06540612876415253, 0.16479825973510742, -0.3534325063228607, -0.7594883441925049, 0.7305411696434021, 0.4487999677658081, 0.11330382525920868, -0.05748662352561951, 1.2817506790161133, -1.0167323350906372, 0.33916255831718445, -0.38626089692115784, -0.6436065435409546, -0.19389387965202332, -0.7819300293922424, -0.2735310196876526, -0.7036764025688171, -1.6747422218322754, 1.3656558990478516, -0.12425827234983444, 0.1773337870836258, -0.7306902408599854, -0.5217225551605225, -0.3175353407859802, 1.0114935636520386, 0.3295082747936249, -0.39081108570098877, 0.08662677556276321, -1.4078346490859985, -0.3724856376647949, 1.7846283912658691, -1.076515793800354, -0.702165961265564, 0.07224701344966888, -0.6334593892097473, -1.410591721534729, 0.24839308857917786, 0.9826784729957581, 0.06555625051259995, -0.3582421839237213, -0.9334055781364441, 0.26587268710136414, 0.41990694403648376, 0.8089236617088318, 0.3678707182407379, -0.39443233609199524, 0.992720365524292, -0.8985393643379211, -0.7462795972824097, -0.8638090491294861, 0.895085871219635, 0.3959745168685913, -0.6739617586135864, -0.4527409076690674, 0.0669732391834259, -0.1939622014760971, 0.20648953318595886, -0.855833888053894, -0.9078080654144287, -1.2753798961639404, 0.6096820831298828, 0.5690674781799316, 0.20361921191215515, 0.06440199911594391, 0.2711813747882843, -0.9414457082748413, -2.1447088718414307, 0.7527334690093994, -0.11037570238113403, 0.012214171700179577, 0.480282187461853, -0.3880695104598999, 0.08516044914722443, -0.1651916205883026, 1.7854887247085571, 0.15187601745128632, 0.4558250606060028, -0.642892599105835, -0.32657766342163086, 0.6989348530769348, -0.49442869424819946, 0.8693944811820984, -0.8066985011100769, -0.4732397794723511, -0.10774556547403336, -1.1186202764511108, 0.18870854377746582, 0.8604398369789124, -0.7148838043212891, -0.1280948668718338, -0.25103920698165894, -0.7142625451087952, -0.3172512650489807, 0.14981640875339508, -0.6111787557601929, 0.8070675730705261, -1.6615536212921143, 0.13913650810718536, -0.013445934280753136, -0.04603074491024017, 0.5418623685836792, 0.37292152643203735, -1.6222366094589233, -0.13974758982658386, -1.1593364477157593, 0.6540911793708801, -0.21637968719005585, 0.8755622506141663, -0.008083374239504337, 0.21592216193675995, -0.35598060488700867, -0.14062689244747162, -1.0660638809204102, -0.7192593216896057, 0.6855095624923706, -0.2839089035987854, -0.7635198831558228, 0.4286048114299774, 0.8070746660232544, 0.05687432736158371, -0.08237560093402863, 0.1521027535200119, -0.19480320811271667, 0.1199912503361702, -0.821064293384552, -0.27887317538261414, 0.09057151526212692, 0.3519376218318939, 0.10914923995733261, 0.5894882678985596, 0.8206035494804382, -1.0822581052780151, -0.07477156817913055, 0.38933494687080383, -0.12209510803222656, 0.2253703773021698, 1.2344075441360474, -0.4183342158794403, 1.108961582183838, -1.0635228157043457, 0.04165579751133919, -0.6599259972572327, 0.6752998232841492, 0.9153867959976196, 0.7907483577728271, -0.7883370518684387, 1.3137304782867432, -0.6688438653945923, -0.4331901967525482, -0.1315559297800064, 1.4128444194793701, -0.87690669298172, -0.3664642572402954, -0.2885417938232422, -2.784942865371704, 0.5403186082839966, 1.5415830612182617, 1.0932157039642334, 1.064646601676941, -0.5662888884544373, 0.03324323520064354, -0.9213300943374634, -0.14008310437202454, -0.3132869303226471, -0.4226943254470825, -0.9870688319206238, 2.201965808868408, 0.13027793169021606, 1.9217729568481445, -0.2653953731060028, 0.5359868407249451, -0.42304331064224243, 0.11549501866102219, -0.3712925612926483, 0.07371188700199127, 0.6963244676589966, 0.8156852126121521, 0.7556078433990479, 0.5802248120307922, -0.23815613985061646, 0.7010018825531006, 0.727704644203186, 0.8066630363464355, -0.6019917726516724, 0.7538774609565735, -0.34879282116889954, -0.2911798357963562, -0.6751416325569153, 0.7650435566902161, -1.050707459449768, -0.8246191143989563, -0.46587860584259033, 0.18123936653137207, 1.119166612625122, 0.6099202632904053, -0.506994366645813, 0.2518904507160187, -0.2084733545780182, 0.8832083344459534, 0.7891668677330017, 1.1212248802185059, -0.30432578921318054, -1.0860799551010132, -0.17550022900104523, 0.18953485786914825, 0.20161224901676178, -0.37053272128105164, -0.13934580981731415, -0.935962975025177, -0.22990596294403076, 0.610552966594696, 0.41231393814086914, 0.594784140586853, -0.20023763179779053, -0.638146698474884, -0.09717898070812225, 0.6335515975952148, 0.24708160758018494, 0.8958510160446167, 0.003638623049482703, -0.27444884181022644, -1.49565589427948, 0.400978684425354, -0.32406890392303467, 0.28547924757003784, 1.3774691820144653, -0.2568725645542145, -0.5331314206123352, -0.46108758449554443, -0.09749529510736465, -0.6751808524131775, -0.15611666440963745, 0.24889585375785828, -0.4042387902736664, -0.4115433096885681, 0.5467772483825684, -0.40202319622039795, -0.5560436248779297, -0.44463270902633667, -0.41637665033340454, 0.4524424076080322, 1.5188629627227783, 0.3269784450531006, -0.673577606678009, 0.0614573135972023, -0.24081481993198395, -0.023101039230823517, -1.7703419923782349, 0.7493563890457153, 0.5075422525405884, -0.5211941599845886, -0.2843388020992279, -0.19078472256660461, 0.7161602973937988, -0.7529826760292053, -0.22370538115501404, 0.2120809257030487, -0.10964954644441605, -0.6221783757209778, 0.5329099297523499, 1.2693748474121094, 1.086331844329834, 1.6237820386886597, -0.2577711343765259, -0.5696948170661926, 1.310015082359314, -0.2721172273159027, 0.24022991955280304, 0.7105079293251038, 0.010964376851916313, 0.13837522268295288, 1.1323127746582031, -0.6752067804336548, 0.053726423531770706, 0.4669967591762543, 0.06397256255149841, 1.2166433334350586, 0.49947941303253174, -0.10403528064489365, 0.25099802017211914, 1.9803122282028198, 0.9792717099189758, -0.9882157444953918, -1.3299708366394043, -1.460070013999939, -0.07882735878229141, 0.021315334364771843, -0.34453973174095154, 0.24179671704769135, -0.5139718651771545, -1.589369773864746, 0.4248117208480835, -0.041788745671510696, 0.4661048650741577, -0.7210556268692017, -0.6357648372650146, 0.22742082178592682, 0.0518871434032917, -0.1866723895072937, -1.213079810142517, -1.691696286201477, 0.16139627993106842, -0.10369761288166046, -0.7490674257278442, 0.507904589176178, 0.19840513169765472, 0.12110314518213272, 0.06475363671779633, 0.5509966611862183, 0.9122133851051331, -2.025608539581299, -0.22772099077701569, 0.9389408826828003, 0.0642070397734642, -0.6125760078430176, -1.0749435424804688, -0.47863641381263733, 0.4779133200645447, 0.03787027671933174, -0.04079090431332588, 0.3832636773586273, 0.0885024294257164, -0.057296525686979294, 0.8290531039237976, 0.27780792117118835, -0.43285050988197327, -0.9842934012413025, 0.273235946893692, 1.1998780965805054, 0.01998777873814106, -1.1505008935928345, 0.5011756420135498, 0.3457257151603699, -1.0550856590270996, 1.1044154167175293, 0.7129576206207275, 0.4532633125782013, -0.7045632004737854, 0.7396915555000305, -1.426222562789917, 0.21014317870140076, 0.48855841159820557, -2.127708911895752, 0.006717885844409466, 0.894564688205719, -0.3250073790550232, -0.18987272679805756, 0.09343595057725906, -1.347689151763916, -0.6063850522041321, 0.2861872613430023, -0.6090579032897949, 0.22623281180858612, 0.2457287609577179, 0.8106502294540405, -0.7648951411247253, -0.654839277267456, -0.17244663834571838, 0.05996263772249222, -0.20891867578029633, -0.4300529956817627, -1.340782880783081, 0.5071197748184204, 0.016437530517578125, 1.1163380146026611, -0.09483174979686737, 0.5614449977874756, -0.07112224400043488, -0.8647316694259644, 0.1680905520915985, -0.5153067708015442, 0.3421589434146881, -0.43725958466529846, -0.27539679408073425, 0.12092473357915878, -0.026844831183552742, -0.012964842841029167, -0.22393815219402313, -0.6928430795669556, 0.042950090020895004, 0.7716668248176575, 0.0957636833190918, 1.0711610317230225, -0.7595762014389038, 0.45103079080581665, 1.2886558771133423, -1.0374330282211304, -1.0568491220474243, 0.038218166679143906, 0.33234742283821106, -1.0020567178726196, 0.8761483430862427, -0.12335074692964554, 0.9869470596313477, 0.4114253520965576, -0.16845476627349854, 0.7541308999061584, -0.6715647578239441, -0.4795154631137848, 0.2735484838485718, -0.1011105626821518, -3.1964356899261475, 0.6644695997238159, -0.6666805148124695, 0.5238217115402222, 0.27882495522499084, -0.4040525555610657, -0.7386872172355652, -0.7203840017318726, 0.8358486890792847, 0.5917535424232483, -0.7970027327537537, 0.0022701916750520468, 0.5791752338409424, -1.7045069932937622, 1.113654375076294, 0.03989796340465546, 1.360456943511963, 0.38292863965034485, 0.38043951988220215, -1.0651143789291382, -0.40843674540519714, -0.35070085525512695, -0.6867362856864929, -0.9708107113838196, 0.4388298988342285, 0.2390771061182022, -1.368452548980713, -0.054630376398563385, -0.24783846735954285, -0.12046564370393753, 0.10195505619049072, 0.068394735455513, -0.19055058062076569, -1.064794898033142, -1.1461641788482666, -0.729120671749115, -0.19057197868824005, 0.8323643207550049, -1.3613593578338623, -7.086236953735352, 1.2963906526565552, -0.3568066358566284, -0.3899959623813629, 0.9582862854003906, -1.089107871055603, 0.05954929441213608, -0.10566774755716324, -0.44709545373916626, -0.12301275134086609, 1.6834442615509033, -0.22465011477470398, -0.43155184388160706, -1.0733102560043335, 0.4581712782382965, -0.18330265581607819, -0.8850645422935486, 0.6464512348175049, 0.2585291564464569, 1.214992880821228, -0.5524695515632629, -0.07013943046331406, 0.3713301122188568, -0.39065656065940857, 0.5096984505653381, -0.6647066473960876, -0.28326642513275146, 0.3747521638870239, -1.3656022548675537, 0.25653305649757385, -1.0665630102157593, 0.9154314994812012, -0.2754179537296295, 0.11990655213594437, -0.3623601794242859, -0.4598166346549988, -0.1919548511505127, 2.1762802600860596, 0.08037392795085907, 0.14966268837451935, 0.06215322017669678, 0.35531386733055115, 0.3716909885406494, 0.8642870187759399, 0.512992799282074, 0.25151121616363525, -0.6365094184875488, -1.6523385047912598, 0.6920204162597656, 1.0254448652267456, -0.5988777279853821, -0.9182210564613342, 1.0083647966384888, 0.5787368416786194, -0.3031292259693146, -0.9743198752403259, -0.39701804518699646, -0.7885004281997681, -1.139649510383606, -0.4214944839477539, -0.18770736455917358, -0.16567306220531464, -1.0257312059402466, -0.5099514722824097, 0.25270068645477295, 1.8711093664169312, 0.31863072514533997, -0.7987390160560608, 0.3693838119506836, -0.5067564249038696, 0.24163994193077087, -1.227712869644165, -0.795670211315155, 0.632159948348999, 0.7566727995872498, 0.011840923689305782, -0.1972689926624298, 0.005289859138429165, -0.13204261660575867, -0.39469215273857117, 0.35984477400779724, 1.0170167684555054, 0.08342748880386353, 0.20344385504722595, -0.29972073435783386, -0.36612528562545776, 0.400558203458786, -0.859581708908081, -0.6644394397735596, -1.1231120824813843, 0.2459108829498291, 0.535719096660614, 0.1576632410287857, 1.0383259057998657, 0.474028617143631, 0.049799844622612, 0.05363670736551285, -0.09361138194799423, -1.0196629762649536, -0.9115082621574402, -0.2996530532836914, -0.7983478307723999, -1.1348530054092407, -0.08069903403520584, 0.36522507667541504, 0.4676956534385681, -1.5283820629119873, -0.28289178013801575, -0.34802117943763733, -0.5931377410888672, 0.4388035237789154, 0.5685542821884155, -0.20631374418735504, -0.4048501253128052, -0.34871575236320496, -0.15883520245552063, -0.43334561586380005, 1.1340115070343018, -0.8413563966751099, -0.24931003153324127, 0.9813191294670105, -1.1911653280258179, -0.5790859460830688, 1.6256103515625, 0.1881922036409378, -0.7885617613792419, 0.40381214022636414, 0.46107059717178345, -0.3634199798107147, -0.3244553506374359, -1.8909052610397339, -0.3683033585548401, 1.2784143686294556, 0.18949255347251892, -0.1376008540391922, 0.24100621044635773, -0.5994316339492798, 0.05638246238231659, -0.04825757443904877, -0.27822741866111755, 0.3818117082118988, 0.2336408495903015, 0.2546069324016571, -0.5823935270309448, -0.06822486966848373, -0.8678966760635376, -0.9577146172523499, 0.6346477270126343, -0.1842031627893448, -0.5148143172264099, -0.03215521201491356, -1.0484282970428467, -0.3194829225540161, 0.009133082814514637, 0.7063222527503967, -0.4583097994327545, -0.08204316347837448, -1.118727684020996, 0.1387755572795868, -0.6760022640228271, -0.6395256519317627, -0.3382391929626465, 0.993299126625061, 1.1878328323364258, 0.8799212574958801, 0.41018274426460266, -0.2361401617527008, -0.15132714807987213, -0.5757659673690796, -0.3029179275035858, 0.05425644293427467, -0.47063806653022766, -0.07492707669734955, -0.357400119304657, -0.9018709063529968, -1.0462607145309448, 0.015743153169751167, -0.331989586353302, 0.20916971564292908, -0.8291015625, -0.001976371044293046, -0.42017143964767456, 0.07698929309844971, 0.9595274329185486, 0.3257022202014923, -0.7186909317970276, -0.736729085445404, 1.0374795198440552, -0.644756555557251, -1.1036081314086914, 1.2335312366485596, 0.3738522231578827, -0.251923531293869, 0.8763958811759949, 0.9018868803977966, -0.9057081341743469, -0.441952109336853, -1.0281094312667847, -1.2677576541900635, -0.3711986243724823, 1.167120337486267, 1.404680609703064, 1.074253797531128, -0.18271388113498688, 0.28670647740364075, 0.36613404750823975, -0.28505200147628784, 0.705262303352356, -0.160393625497818, 0.5490805506706238, -0.5243436098098755, -0.8412150144577026 ]
1,092
0704.1094
Jae-Joon Lee
Jae-Joon Lee, Bon-Chul Koo, John Raymond, Parviz Ghavamian, Tae-Soo Pyo, Akito Ta jitsu, and Masahiko Hayashi
SUBARU HDS Observations of a Balmer-Dominated Shock in Tycho's Supernova Remnant
4 pages, 3 figures, The paper will be published in the April 20, 2007 issue of the Astrophysical Journal, 659, L133
Astrophys.J.Lett.659:L133-L136,2007
10.1086/517520
null
astro-ph
null
We present an Ha spectral observation of a Balmer-dominated shock on the eastern side of Tycho's supernova remnant using the Subaru Telescope. Utilizing the High Dispersion Spectrograph (HDS), we measure the spatial variation of the line profile between preshock and postshock gas. Our observation clearly shows a broadening and centroid shift of the narrow-component postshock Ha line relative to the Ha emission from the preshock gas. The observation supports the existence of a thin precursor where gas is heated and accelerated ahead of the shock. Furthermore, the spatial profile of the emission ahead of the Balmer filament shows a gradual gradient in the Ha intensity and line width ahead of the shock. We propose that this region (~10^16 cm) is likely to be the spatially resolved precursor. The line width increases from ~30 up to ~45 km/s, and its central velocity shows a redshift of ~5 km/s across the shock front. The characteristics of the precursor are consistent with a cosmic-ray precursor, although the possibility of a fast neutral precursor is not ruled out.
[ { "created": "Mon, 9 Apr 2007 11:08:34 GMT", "version": "v1" } ]
2009-06-23
[ [ "Lee", "Jae-Joon", "" ], [ "Koo", "Bon-Chul", "" ], [ "Raymond", "John", "" ], [ "Ghavamian", "Parviz", "" ], [ "Pyo", "Tae-Soo", "" ], [ "jitsu", "Akito Ta", "" ], [ "Hayashi", "Masahiko", "" ] ]
07
[ -0.3005330562591553, -0.26541465520858765, 0.2398350089788437, -0.7642409205436707, 0.4814796447753906, 0.1597355306148529, 0.39528024196624756, 0.6364096403121948, -0.5057076215744019, 0.3691357970237732, -0.13312174379825592, 0.2854611277580261, -0.9659469127655029, 1.859275221824646, 0.4919394254684448, 0.10452981293201447, -0.6000941395759583, -0.5032969117164612, 1.3605332374572754, 0.8244364261627197, 0.43687427043914795, -0.5179730653762817, 0.28287649154663086, -0.6839325428009033, -0.5076654553413391, -0.1494293212890625, 0.1785384714603424, -0.1292949765920639, -0.009960934519767761, 1.5921894311904907, -0.36681991815567017, 1.083880066871643, 1.715846061706543, 0.5833946466445923, -0.09121716022491455, -0.3892628252506256, 0.6177259087562561, 0.5966989398002625, -0.9885503053665161, -0.5730538368225098, -0.6571709513664246, 0.5027233362197876, -0.1571279764175415, -0.344489723443985, 0.6224638223648071, 0.33927005529403687, 0.9433997869491577, 0.4572845697402954, -0.7382580637931824, 0.30888330936431885, 0.0657113716006279, 0.4977886378765106, -0.5682778358459473, 1.6943624019622803, -0.17954345047473907, 0.11038573831319809, -0.4061353802680969, 0.714385449886322, -0.7395833730697632, 0.3373797833919525, 0.060511358082294464, -0.41159945726394653, 0.0687589943408966, 0.04063373804092407, -0.13066354393959045, -0.16013094782829285, -1.258164644241333, -0.44778701663017273, 0.5987447500228882, -0.6645338535308838, 0.17606960237026215, 0.011206932365894318, 0.6159919500350952, -0.8968009352684021, -0.8042144179344177, -0.4549093246459961, 1.0960549116134644, 0.044077444821596146, 0.5440508723258972, -0.7314733266830444, -1.6636611223220825, 0.4864352345466614, -0.4296158254146576, -0.44420650601387024, -0.28359922766685486, 0.48515352606773376, 0.09676543623209, 0.8428415060043335, -0.046264950186014175, -1.2682605981826782, -0.10588967800140381, -0.06449186056852341, -0.6664448976516724, -0.7266891002655029, 0.8298937082290649, 0.8491684198379517, -1.3892513513565063, 0.04487672820687294, -0.3487842082977295, 0.618861198425293, 0.36206746101379395, -0.07660309970378876, 0.5068191885948181, -0.353774756193161, -0.33529767394065857, -0.6738892197608948, -1.113544225692749, -1.6988341808319092, 0.7515519261360168, 0.838966429233551, 0.17010009288787842, 0.33263227343559265, -1.5232371091842651, -0.40792620182037354, -1.2187323570251465, -0.5528135895729065, 0.5848937034606934, -0.4799247980117798, -0.2337407022714615, 0.10854926705360413, -0.9741859436035156, 0.8209055066108704, -0.1949051320552826, 1.3426907062530518, 0.07292776554822922, -1.1479095220565796, 0.3913149833679199, -0.9849113821983337, 0.0415579117834568, 0.45837870240211487, 1.2827955484390259, -0.09586366266012192, -0.8702475428581238, 0.6052201986312866, 0.06269856542348862, 0.3720127046108246, -0.07056540995836258, -0.07039475440979004, 0.6923620104789734, -0.07262151688337326, 0.03730195015668869, -0.06973374634981155, 0.009727146476507187, 0.8683875799179077, -0.8301147222518921, 0.2086794525384903, 0.3914552927017212, 0.23389770090579987, 0.6719840168952942, 0.45630714297294617, -0.5514132976531982, -0.35757339000701904, -0.1497829556465149, 0.5807262063026428, -0.1405237317085266, 0.3704300820827484, 1.1497650146484375, 0.7859280109405518, 0.6367805600166321, 1.0363175868988037, 1.4222859144210815, 1.1289935111999512, -0.22559773921966553, 0.5584049820899963, 0.24711252748966217, -0.5590960383415222, 0.3179725110530853, 0.6277592182159424, -0.7851229310035706, 1.2146047353744507, 0.2929004728794098, -0.0661502331495285, -0.7309540510177612, 0.3482089340686798, -0.7454180121421814, -0.05719515681266785, 0.12323165684938431, -0.034613627940416336, 0.4094424843788147, -0.6026827692985535, 1.5243624448776245, 0.029595468193292618, 0.6290470361709595, -0.541025698184967, 0.2593427002429962, 0.7087244987487793, -0.6095395088195801, 0.18453460931777954, -0.3663894832134247, 0.3633865714073181, 1.201950192451477, 0.9191597104072571, -0.25361141562461853, -1.0934497117996216, -0.33487677574157715, 1.6980587244033813, 0.39424148201942444, -0.18871532380580902, -0.620407223701477, -0.68553626537323, -0.3607831299304962, 0.009828330017626286, 0.12355240434408188, 0.7070788145065308, 0.9818617105484009, 0.5546744465827942, -1.4823304414749146, 1.0320249795913696, -0.47150182723999023, 0.6084135174751282, -1.5122485160827637, 0.8611181378364563, -0.29550081491470337, 0.674826443195343, 0.6549612283706665, 0.635513961315155, 0.187312513589859, -0.8296452760696411, 0.38352635502815247, 0.25344744324684143, -0.4414868652820587, 0.6914181709289551, -0.18937715888023376, 0.7384995818138123, -0.38219591975212097, 0.2798301875591278, 0.7559142708778381, -1.144178867340088, 0.3177263140678406, -0.4316287040710449, -0.0993969738483429, -0.9508311748504639, 0.6474972367286682, 0.11366260796785355, -0.2971073389053345, 1.1220347881317139, 0.04065540432929993, 0.6291930675506592, -0.35804200172424316, 0.0034723880235105753, -0.0686521828174591, 1.074610710144043, 0.19360342621803284, -0.553193986415863, -0.47383666038513184, -0.20281831920146942, 0.4975186884403229, 0.36012715101242065, -1.0905340909957886, 0.08915206044912338, -1.3084633350372314, -0.1791476607322693, -0.9606213569641113, -1.6755950450897217, 0.4656983017921448, 0.12289274483919144, -0.6388891935348511, -0.8345587253570557, 0.4214491844177246, 0.21768245100975037, 0.4365920126438141, -0.457794189453125, -0.5243980884552002, 1.5731593370437622, -0.38463136553764343, -1.70264732837677, 1.188376784324646, 0.15348510444164276, -0.13396917283535004, -0.9027923941612244, 0.9355276823043823, -0.1883573681116104, 1.1234211921691895, 0.6275861263275146, 1.0012683868408203, 1.0464050769805908, -0.38607800006866455, -0.7303476929664612, -0.3896964490413666, 0.26229023933410645, 0.014188151806592941, 0.1135735735297203, -0.3625393509864807, 1.122199535369873, 1.206885576248169, 0.14367951452732086, -0.010670781135559082, -0.18465082347393036, 0.4996967017650604, 0.7505065202713013, -1.1629403829574585, -0.6663011312484741, -0.7962914109230042, 0.10550761967897415, 0.0662102997303009, 1.4089159965515137, 0.5021599531173706, -0.18007792532444, -1.4328492879867554, -0.2926393449306488, -0.3423166871070862, -0.057527028024196625, -0.5054583549499512, 0.366553395986557, 0.5122241973876953, -0.18136776983737946, -1.413033127784729, 0.29693394899368286, -0.23175771534442902, -0.4216076731681824, -0.21791337430477142, -0.4716900885105133, -0.4101353585720062, 0.177932471036911, -0.016212474554777145, 1.0259182453155518, 0.4132607877254486, -0.01393144391477108, -0.49704891443252563, -0.23153646290302277, -1.9373812675476074, -0.05823774263262749, -0.0014137555845081806, 0.18550722301006317, -0.8520808815956116, -0.6715507507324219, 0.4426179826259613, 0.2449841946363449, 0.3669688105583191, 0.36239197850227356, -0.6613410115242004, -0.3417462706565857, -0.2596893906593323, -0.3165673613548279, 0.08995743095874786, -0.20242561399936676, 0.8000607490539551, 1.4461759328842163, 0.9667070508003235, 0.4637187719345093, -0.5684252977371216, 0.1723623126745224, 0.06236021965742111, 1.9121476411819458, -1.0606553554534912, -1.0227552652359009, 0.5329181551933289, -0.5406513214111328, -0.8188118934631348, 0.5554840564727783, -1.032564640045166, 0.018371213227510452, 0.3171653747558594, -0.42175018787384033, -0.16043202579021454, 0.5625512003898621, 0.43786561489105225, 0.058042529970407486, 0.27783676981925964, -1.0897167921066284, -0.6547795534133911, -0.1526709794998169, 0.09972231835126877, -0.011192603036761284, 0.2234177589416504, 0.3507124185562134, -1.2080732583999634, 0.5947107672691345, 0.7452967166900635, -0.1965620219707489, -0.9864280223846436, 0.3225345313549042, -0.47905999422073364, -0.4172980785369873, -0.5302520990371704, -0.5165179967880249, 0.6015814542770386, -0.24942901730537415, -0.09604539722204208, 0.1254219263792038, -1.3734453916549683, 0.3081589937210083, 0.2439137101173401, 0.7603728175163269, 0.049188077449798584, -0.7006065249443054, -0.2783510386943817, 1.1336028575897217, 1.2969043254852295, 0.5541360378265381, -0.20848727226257324, 0.3766704499721527, -0.5816773176193237, -0.5822717547416687, 0.20344962179660797, 1.681753158569336, -1.2016719579696655, 1.3369033336639404, 0.8670650124549866, -0.6944846510887146, -0.9755024313926697, -0.21329961717128754, -0.22127097845077515, 0.36980071663856506, -0.543376088142395, 0.22795669734477997, -1.421760082244873, 0.37156715989112854, 0.14893528819084167, -1.65632164478302, -0.7564605474472046, 1.0123803615570068, -1.6289982795715332, 1.146891713142395, -0.38121017813682556, -0.8874226808547974, 0.009165925905108452, 0.9870846271514893, -0.07213251292705536, 0.016139887273311615, 0.6901182532310486, -0.741244912147522, -0.11033263802528381, -0.9040778279304504, -0.270226389169693, 1.1083372831344604, -0.27043360471725464, 0.3521195650100708, -0.41349661350250244, 1.6067591905593872, 1.280648946762085, -1.1508018970489502, -1.8183417320251465, 0.24344311654567719, 0.9828366637229919, -0.8246945142745972, -0.28283533453941345, 1.259015679359436, -0.07390911132097244, 0.2369813770055771, -0.41371431946754456, -1.2042282819747925, 0.13425232470035553, 0.04565921425819397, -0.12393290549516678, -0.8145167231559753, 1.642548680305481, -1.1271101236343384, -0.5638076663017273, 0.4673357307910919, -0.44894152879714966, 0.2133275717496872, -0.0005278265452943742, 0.9096869230270386, 0.1422272026538849, -0.9304379224777222, -1.3123865127563477, -0.6480165719985962, -0.6911141276359558, 0.00438733259215951, -0.26197344064712524, 0.24856342375278473, -0.12726232409477234, -0.030364589765667915, 0.21800145506858826, -0.5809140205383301, 0.6446688771247864, -0.656511664390564, 1.204569935798645, -0.4461883306503296, -0.4192509353160858, 0.17551861703395844, -1.079624891281128, -0.41064906120300293, 0.8513460755348206, 1.896644949913025, 0.46521034836769104, 0.04791337251663208, -0.49797606468200684, -1.4691271781921387, 0.6603568196296692, -1.765116810798645, 0.3115564286708832, -0.7610928416252136, -0.42658182978630066, -0.4571940302848816, -0.8483690023422241, 0.054747212678194046, 0.5881009101867676, -0.9877722263336182, 0.3133617341518402, -0.26049622893333435, 0.10618267208337784, -0.41931775212287903, 0.17503927648067474, 0.5685718655586243, -0.5386602878570557, -0.24050170183181763, 1.7274106740951538, 0.3802170157432556, 0.19061650335788727, -1.6810200214385986, 1.3728998899459839, 0.2721473276615143, -1.3095146417617798, 0.7814022898674011, -0.4762156009674072, 1.1021713018417358, -1.0211811065673828, 0.5648103356361389, -0.6841663122177124, 0.706447958946228, 0.20397348701953888, -1.129731297492981, 0.6002469658851624, -0.4390699565410614, 0.3558288812637329, -2.4081084728240967, -0.586063027381897, -0.6757971048355103, 0.9960481524467468, 0.4436385929584503, -0.0014522225828841329, 1.0159287452697754, -1.0227885246276855, -0.5541370511054993, -0.6984685659408569, 0.13560707867145538, -0.5753889679908752, -0.542590856552124, 0.22095340490341187, 0.0352577343583107, -0.6150580644607544, -0.6419568061828613, 0.4009791612625122, -0.8292461633682251, -0.884645402431488, -0.6073692440986633, -0.7303630113601685, 0.489910751581192, -0.012672964483499527, 0.0712750107049942, -0.070892833173275, -0.13659201562404633, 0.34694239497184753, 0.12194676697254181, 0.02005781978368759, 0.20121335983276367, 0.7583727240562439, 0.6639648079872131, -0.02222258597612381, -0.1908126026391983, -1.1867057085037231, 0.6775684952735901, 0.6155487298965454, 0.2953055500984192, -7.681604385375977, 0.39074599742889404, -0.2555175721645355, -0.5501900911331177, -0.2621736526489258, 0.9652752876281738, -0.468453049659729, -1.0324079990386963, -0.35239002108573914, 0.1795332431793213, 0.41767993569374084, -0.8684785962104797, -0.8712918758392334, 0.11967264115810394, 0.8549801707267761, 0.6375590562820435, 0.2795636057853699, -1.148716926574707, -0.40054601430892944, -1.6027295589447021, 0.2537950575351715, -0.8433054089546204, 0.03600151836872101, -0.7721300721168518, 0.5120965242385864, -0.6353446245193481, -0.7977136969566345, 1.258367896080017, -1.2580915689468384, 0.9119705557823181, -0.09384893625974655, 2.1235275268554688, -0.3088148832321167, -0.0863441526889801, 0.7448405027389526, 1.5038288831710815, -0.02736530639231205, 0.41314879059791565, 0.9842068552970886, 0.4119931757450104, -0.08390416949987411, 1.5907635688781738, -0.47545158863067627, -0.8170915842056274, -0.4175545871257782, 1.0851807594299316, -0.3005799651145935, -0.13148711621761322, 0.9903900623321533, 0.14206290245056152, 0.09412849694490433, 0.20335817337036133, -0.9962683916091919, 0.8375498056411743, -0.36198121309280396, -0.8881840109825134, -0.5763288736343384, -0.21608036756515503, -0.49025315046310425, -0.0792963057756424, -0.5440744161605835, -1.1829266548156738, -0.7100726962089539, -0.2481594979763031, -0.13713642954826355, -1.0203088521957397, 1.3186399936676025, -0.5963890552520752, -0.4490633010864258, 0.41143959760665894, -0.41565945744514465, -0.6194721460342407, -1.2511190176010132, -0.6485917568206787, -0.5916284322738647, 0.5023473501205444, -1.3777371644973755, -0.2005506455898285, 0.8451071977615356, -0.7568227648735046, -0.013746224343776703, 1.3895869255065918, -0.8163444995880127, -0.5672115683555603, -0.67384272813797, -0.6973012089729309, 0.005235251039266586, -0.8017936944961548, 0.7752120494842529, -0.9902647137641907, -0.2801657021045685, -0.9687462449073792, 0.7907188534736633, -0.24587155878543854, 0.07490120083093643, -0.6425917744636536, 0.45567405223846436, -1.3736830949783325, -0.7141992449760437, -0.017899375408887863, 0.5601193904876709, 1.1132997274398804, -0.40781012177467346, -0.16834716498851776, -0.4375685751438141, -0.1737971007823944, -1.3176257610321045, 0.46954822540283203, -0.25496527552604675, 0.17371101677417755, 0.019391654059290886, 0.04154866933822632, 0.0324351005256176, 0.2671332061290741, 0.7583104372024536, -0.39158302545547485, -1.355438470840454, -0.17564693093299866, 0.5799800157546997, 0.13850466907024384, -0.487808495759964, 0.36832505464553833, -1.1146388053894043, 0.0005045379512012005, 0.9500160813331604, 1.08771550655365, 0.29776379466056824, -1.0952014923095703, 0.013298180885612965, -0.30575090646743774, -0.4092201888561249, 0.5943747758865356, 0.0002075096417684108, 0.8705347776412964, -0.4875898063182831, 0.08517009764909744, 0.6322308778762817, 0.5005805492401123, -0.2342069149017334, 0.07724453508853912, -0.01661948300898075, -1.069473147392273, 1.3342078924179077, -1.6572917699813843, -0.5533825755119324, 0.3215706944465637, 0.02095024660229683, -1.0682439804077148, 0.32875964045524597, -0.764991044998169, -0.19050806760787964, 2.053527355194092, -1.053107738494873, 0.5771661996841431, -0.007058109622448683, 0.07827077060937881, 0.15425904095172882, -0.8096349239349365, 0.6195557117462158, -0.4045615792274475, -0.31096646189689636, -0.04536568000912666, -1.5580930709838867, -0.1275644600391388, -0.0014952844940125942, 0.4856736660003662, 0.22359542548656464, 0.9950951337814331, -1.5232969522476196, -0.382159948348999, 0.26010429859161377, -0.1273181289434433, -1.8323403596878052, -1.0084125995635986, -0.3211539387702942, -0.28645455837249756, 0.9388387203216553, 0.05734897404909134, 0.26899316906929016, -0.7116206288337708, 0.3216600716114044, 0.25804802775382996, 0.11469750851392746, -0.4499262273311615, -0.7803050875663757, 0.0965111255645752, 0.19524474442005157, 0.1718185991048813, -2.1742191314697266, -0.7074456810951233, 0.08485154062509537, -0.563039243221283, -0.27309632301330566, 1.125411033630371, -0.8943792581558228, 0.6226668357849121, -0.48304039239883423, -0.04610198363661766, 0.9130183458328247, -1.4627060890197754, -0.801256000995636, 1.7215170860290527, -0.5170284509658813, 0.3585844039916992, 0.4458555281162262, -0.5234296917915344, 0.21725015342235565, 0.26799634099006653, 0.410739004611969, -0.8689985275268555, 1.0898215770721436, -1.0140650272369385 ]
1,093
0704.1095
Victor Gichev
V.M. Gichev
Orbits of tori extended by finite groups and their polynomial hulls: the case of connected complex orbits
20 pages
Contemporary Mathematics, v. 455, p. 109-130 (2008)
null
null
math.CV
null
Let $V$ be a complex linear space, $G\subset\GL(V)$ be a compact group. We consider the problem of description of polynomial hulls $\wh{Gv}$ for orbits $Gv$, $v\in V$, assuming that the identity component of $G$ is a torus $T$. The paper contains a universal construction for orbits which satisfy the inclusion $Gv\subset T^\bbC v$ and a characterization of pairs $(G,V)$ such that it is true for a generic $v\in V$. The hull of a finite union of $T$-orbits in $T^\bbC v$ can be distinguished in $\clos T^\bbC v$ by a finite collection of inequalities of the type $\abs{z_1}^{s_1}...\abs{z_n}^{s_n}\leq c$. In particular, this is true for $Gv$. If powers in the monomials are independent of $v$, $Gv\subset T^\bbC v$ for a generic $v$, and either the center of $G$ is finite or $T^\bbC$ has an open orbit, then the space $V$ and the group $G$ are products of standard ones; the latter means that $G=S_nT$, where $S_n$ is the group of all permutations of coordinates and $T$ is either $\bbT^n$ or $\SU(n)\cap\bbT^n$, where $\bbT^n$ is the torus of all diagonal matrices in $\rU(n)$. The paper also contains a description of polynomial hulls for orbits of isotropy groups of bounded symmetric domains. This result is already known, but we formulate it in a different form and supply with a shorter proof.
[ { "created": "Mon, 9 Apr 2007 11:27:10 GMT", "version": "v1" } ]
2009-07-14
[ [ "Gichev", "V. M.", "" ] ]
07
[ 0.8406888842582703, 0.08259773999452591, -0.7827224135398865, -0.40264692902565, 0.9941210746765137, 0.11582933366298676, 0.7673740386962891, 0.8296155333518982, -1.3892303705215454, -0.08730578422546387, -0.09529709070920944, -0.3038034439086914, -0.28072601556777954, -1.0538055896759033, -0.6885442733764648, -0.39427146315574646, -0.20522555708885193, 0.8583725094795227, -0.8905118107795715, 0.043364979326725006, -0.15693406760692596, -0.751501739025116, -0.3175337314605713, 0.11875788867473602, -0.4112783968448639, -0.1903121918439865, 0.6785410642623901, -0.6079310178756714, -0.5569523572921753, -0.11048653721809387, -0.17982135713100433, -0.13344725966453552, -1.4431657791137695, 0.2820628881454468, -0.20922213792800903, -0.16748030483722687, -0.00679169362410903, -0.20419253408908844, 0.3848668038845062, 1.3648114204406738, 1.3224254846572876, -0.505358099937439, -0.5684616565704346, -0.18843059241771698, -0.758327305316925, -0.8916556239128113, 2.1757595539093018, -0.641657292842865, -0.15612415969371796, 0.5585018992424011, -0.397195965051651, 0.12938354909420013, -0.07031049579381943, -0.23023508489131927, -0.3176710307598114, -0.3324792683124542, -0.12339860200881958, 0.22717805206775665, 0.6545889973640442, -0.05496855080127716, -0.7393618226051331, -0.7724073529243469, 0.5492696762084961, 0.8916826844215393, -0.3449419438838959, -0.5529537200927734, 0.1426929384469986, 0.10541437566280365, 1.0148861408233643, 1.3153514862060547, 0.24736759066581726, -0.9577447772026062, -0.8415763974189758, 0.6607969403266907, 0.36046522855758667, -0.40413814783096313, -0.13050173223018646, 0.06530115753412247, 0.4210017919540405, -0.23249982297420502, 0.5982446670532227, 0.8165663480758667, -0.503212571144104, -0.1820431500673294, 0.7137035131454468, -0.2562926709651947, -0.10511098802089691, 0.5103433728218079, 0.2904110848903656, 0.8857622146606445, 0.6753262877464294, -0.2516132891178131, 0.6644960045814514, 0.8170773983001709, -0.6118931770324707, -0.5262741446495056, -0.12236329168081284, 0.458385169506073, -0.9114918112754822, 0.7801215648651123, -0.17236068844795227, -0.5164536833763123, 0.028158677741885185, -0.17694786190986633, -0.39193347096443176, -0.04084911197423935, 1.8057619333267212, -0.4686448574066162, 1.4001904726028442, -0.4502865970134735, 0.6523019671440125, -2.3273658752441406, 0.03372201696038246, -0.4694373309612274, -0.7291684150695801, 0.8747765421867371, 0.7750608921051025, 0.7018158435821533, -0.2724749743938446, -1.4612668752670288, -0.6055039167404175, 0.3910501003265381, -0.17369867861270905, -0.3162887990474701, -0.379486620426178, 2.2291104793548584, -0.7406221032142639, -0.6616061329841614, -0.9252386689186096, 0.8495563268661499, -0.2792150676250458, 0.7970932722091675, -0.36006155610084534, -0.2652552127838135, -1.2733293771743774, -0.05299322307109833, -0.38824525475502014, -0.005385626573115587, 0.7971168160438538, -0.5902572870254517, 0.595629870891571, -0.023778168484568596, -1.4690178632736206, 0.2610009014606476, 1.7867048978805542, 0.34895241260528564, 0.7161117196083069, 0.3500257134437561, 0.7226033806800842, -0.19867876172065735, -0.1316034495830536, 0.7611314058303833, 0.06204085797071457, -0.6121000051498413, -0.5156422853469849, 0.7079200744628906, -0.5560165643692017, 0.3838060200214386, 0.12970547378063202, 1.4881908893585205, -0.6534825563430786, 0.9395018219947815, -0.20513929426670074, -0.5409328937530518, 0.04858174920082092, -0.7172669768333435, -1.1852781772613525, -1.4688613414764404, -0.2372155487537384, 0.2850780785083771, -1.501184344291687, -0.49459362030029297, 0.19630439579486847, 0.5660058259963989, 0.9576589465141296, 1.4715561866760254, -0.7465501427650452, -0.5309070348739624, -0.5430855751037598, 0.09355634450912476, -0.5765898823738098, -0.7009669542312622, -1.1803284883499146, 0.5076525211334229, 0.3049960732460022, -0.04815320670604706, 1.1072138547897339, -0.4823572337627411, 0.5727211833000183, -0.2759253978729248, -1.2815155982971191, -1.126819133758545, -1.3429460525512695, 0.1083478331565857, 0.8051502108573914, -0.05643768981099129, -0.18553657829761505, 0.5218814611434937, 0.09589000046253204, 0.09316131472587585, -0.723116397857666, 0.28683173656463623, 0.07650378346443176, -0.8063421845436096, -0.15237754583358765, 0.6074446439743042, 1.277888536453247, 0.7772860527038574, 0.2879880368709564, -1.1877046823501587, -0.24956078827381134, -0.25051361322402954, -0.18355607986450195, -0.5771154761314392, 1.048265814781189, 1.0958166122436523, -0.41783374547958374, -0.0968632772564888, -0.509065568447113, 1.2974873781204224, -0.11444402486085892, 0.407772958278656, -0.2153717428445816, 0.40093791484832764, 0.1981421411037445, -0.9888042211532593, 1.3753715753555298, -1.6796016693115234, -0.15343531966209412, 0.8345929384231567, -0.1792243868112564, 0.3191586434841156, 0.280302494764328, -0.1240815818309784, 0.19348454475402832, -1.1773444414138794, -1.0201237201690674, 0.05489116907119751, 0.6824772357940674, 0.8097102642059326, -0.5808819532394409, 0.2166299819946289, 0.17341019213199615, -1.5267040729522705, -1.2693514823913574, 0.46192464232444763, -0.3005707859992981, 1.0886105298995972, 0.5127212405204773, 0.153451606631279, 0.11148583143949509, 0.21675342321395874, 0.23863016068935394, -0.5413395166397095, -1.3901070356369019, -0.629269003868103, -0.4813604950904846, -2.1817924976348877, -3.470567464828491, -0.6043492555618286, -0.07392166554927826, -0.1503945291042328, -0.26540425419807434, 0.7444828748703003, 0.3143201470375061, -1.7254389524459839, 0.7849253416061401, -0.367998868227005, 1.4241536855697632, -0.8854288458824158, 0.19388265907764435, 0.8167389035224915, 0.666759729385376, 1.7150088548660278, -1.45245361328125, 0.3440099060535431, -0.49909812211990356, -0.7900177836418152, -0.07966786623001099, -1.238924503326416, 1.2080498933792114, 1.412596344947815, -1.5792487859725952, -0.013630854897201061, 0.35381749272346497, -0.4440130591392517, -0.07537289708852768, -0.14555440843105316, 0.2953674793243408, -0.185005322098732, -0.1793973445892334, -0.7331408262252808, 0.0937618762254715, -0.5362780094146729, -0.432772696018219, -0.3186090588569641, 0.3748411238193512, -0.5076300501823425, 0.10635325312614441, -0.4117952287197113, -0.5160490870475769, -0.041210856288671494, -0.18476122617721558, 0.7414524555206299, 0.7832010984420776, 0.13058437407016754, -0.0329323373734951, 1.0137214660644531, 0.5887517929077148, -0.39176568388938904, -0.40150925517082214, 0.5213133096694946, 0.1713283509016037, -0.781389594078064, 1.0028140544891357, 1.0526001453399658, 0.10146686434745789, -0.9591154456138611, 0.336713045835495, -1.8184573650360107, 0.045874468982219696, 0.29808834195137024, 0.5740476250648499, -0.014063278213143349, 0.7368375658988953, 0.48504382371902466, -0.8195531368255615, 0.5668298602104187, -0.13955053687095642, -0.4129997491836548, -0.06282494217157364, 0.16969403624534607, 0.7173203229904175, 0.4882381558418274, -0.6768918633460999, -0.6241306066513062, -0.45804378390312195, -0.12555651366710663, -0.22173023223876953, 0.11287267506122589, 0.026544786989688873, 0.7829297780990601, 0.4301358759403229, -1.1321004629135132, 0.6444694995880127, -0.48024484515190125, 0.10640141367912292, -0.10374851524829865, -0.2962982654571533, -0.31810814142227173, 0.8773178458213806, -1.5336099863052368, -0.3811832666397095, 0.6654639840126038, 0.5109239816665649, 0.08584541082382202, 0.13568539917469025, -0.6034164428710938, -0.2575417160987854, -0.1979604810476303, 1.017535924911499, 0.23990894854068756, -0.8834513425827026, -0.6570202112197876, 0.10414983332157135, -0.31806421279907227, 0.06292763352394104, -0.9396300315856934, 0.4859798848628998, -0.058889612555503845, -1.1863902807235718, 0.22685027122497559, -0.04034291207790375, -0.5682403445243835, -0.9771668314933777, 1.3753975629806519, -2.0734074115753174, 0.06127605587244034, 1.4310253858566284, 0.24738802015781403, -0.6150611639022827, -0.0036488729529082775, 0.12298648804426193, 0.2303588092327118, 0.2479541003704071, 0.6308928728103638, -0.22990263998508453, 0.08821472525596619, -0.5913407206535339, -0.06569168716669083, 0.715579092502594, -0.7094932794570923, 0.4384799301624298, -0.14366863667964935, -1.0315990447998047, 0.5511922836303711, -0.5916140675544739, -1.7632399797439575, -0.28549858927726746, 0.05016997084021568, 0.5893314480781555, -1.0800275802612305, -0.683683454990387, -0.16555775701999664, -0.7226148843765259, -0.5185257196426392, -0.29895609617233276, -0.33593857288360596, 0.7893760204315186, -0.5677366852760315, -0.07194435596466064, -1.8391244411468506, -1.605576992034912, 0.23098300397396088, -0.07020383328199387, 0.3644331097602844, 0.10890770703554153, -0.8983480334281921, 0.9803916811943054, -1.795346975326538, 0.17742258310317993, -0.011203792877495289, 0.019903268665075302, 0.19186332821846008, -0.016526339575648308, -0.49538618326187134, 0.7479172348976135, -0.42181622982025146, -1.6384246349334717, 0.17765100300312042, -0.02838161028921604, 0.2909296751022339, -0.18791133165359497, 0.4545643627643585, -0.10305041819810867, -0.6398009657859802, -0.7608761787414551, 0.7790365815162659, 0.42056089639663696, -0.1460587978363037, -0.10185384750366211, 0.07406330108642578, -0.46517983078956604, -0.09580575674772263, 1.5217533111572266, -1.1618950366973877, 0.07496558129787445, 0.44467693567276, -0.4887372553348541, 0.8184900283813477, 0.7760286927223206, -1.0258363485336304, 1.025339961051941, 0.5380117297172546, -0.14509941637516022, 1.0124868154525757, -0.16166198253631592, -0.13238734006881714, 1.2194980382919312, 1.0352040529251099, -2.104316234588623, -0.18525631725788116, 0.614131510257721, -0.8771267533302307, -0.4483562111854553, -0.06251030415296555, 0.9026139974594116, 0.31031620502471924, 1.1331417560577393, 1.4210699796676636, -0.6451185941696167, -1.9543750286102295, -0.9739960432052612, -0.8498122096061707, -0.7737343311309814, -0.30751731991767883, -0.956184983253479, 0.8672884702682495, 0.17337055504322052, 0.832696259021759, 0.9744055867195129, 0.7806875705718994, -0.5386382341384888, -0.08919794857501984, -0.12386106699705124, 0.24626757204532623, 0.034421656280756, 0.8055957555770874, 0.27304044365882874, 0.18413127958774567, -0.36697623133659363, 0.5731251835823059, 0.10148358345031738, 0.11615633964538574, -0.2870914041996002, 1.3090349435806274, -0.17462268471717834, -0.9376829862594604, -0.2942134141921997, 0.19853176176548004, -0.07157552242279053, 1.0972388982772827, -0.32976242899894714, -1.5438958406448364, -0.4163721799850464, -0.5537570118904114, -0.19305993616580963, 0.09652809053659439, 0.5247815847396851, -0.04320044815540314, -1.084352970123291, 0.8162330389022827, 0.23882217705249786, -0.3768768012523651, 0.7772377729415894, 0.01700589992105961, -0.2993188798427582, -2.5711655616760254, 0.5259878039360046, 0.4878087043762207, 0.05429841950535774, -1.2957408428192139, -0.3246755599975586, 0.04810794070363045, 0.1536165177822113, 0.17512258887290955, -0.4391656816005707, -0.3554786741733551, -0.7271904349327087, -0.38244861364364624, 0.1850096732378006, 0.4239181876182556, 0.8052103519439697, 0.03375695273280144, 0.5241833925247192, -0.12210496515035629, -0.17799463868141174, 0.7867310643196106, -0.18974655866622925, -0.2846683859825134, -0.13650521636009216, -0.8472802639007568, 1.5112464427947998, -0.1490935981273651, 1.638157606124878, -1.2567393779754639, 0.09446112811565399, 0.36839422583580017, 0.2177388221025467, -0.7028372883796692, -1.6663711071014404, 0.508570671081543, 1.812349796295166, 0.10813868045806885, -1.2927722930908203, 0.25456663966178894, -6.628962993621826, -0.5771496295928955, 0.590038537979126, 0.1973072737455368, 0.8388966917991638, 0.16095435619354248, -0.43625426292419434, -0.4624743163585663, -0.16823439300060272, 0.5469648241996765, 0.6186673045158386, 1.2078477144241333, -0.984917402267456, -0.7959862947463989, -0.08793584257364273, 0.08009812235832214, 0.2712898552417755, 0.757827877998352, 0.45387405157089233, 0.37369388341903687, -1.0778062343597412, 0.7831146121025085, 0.12248209118843079, -0.37417739629745483, 1.5185856819152832, -1.5622369050979614, -0.40696388483047485, -1.805479884147644, 0.38800525665283203, 0.2378464788198471, -1.2803093194961548, 0.7768959999084473, -0.7291773557662964, -0.023609474301338196, -1.2703776359558105, -0.9479665756225586, 1.189829707145691, -0.35278576612472534, -0.7831293344497681, 0.1427004039287567, 0.010595416650176048, -1.3969188928604126, -0.20745009183883667, 0.23269122838974, -0.9581304788589478, 0.10254347324371338, -0.10461300611495972, 0.7909753918647766, -0.16773538291454315, -1.2457609176635742, -0.9061567187309265, 0.2335016131401062, 0.17674030363559723, 0.41582801938056946, 1.022305965423584, 0.5817182660102844, 1.0213446617126465, -0.416848361492157, 0.7691214084625244, 0.6197645664215088, -1.0051499605178833, -0.9519274234771729, -0.8855393528938293, 1.8833080530166626, 0.5288299322128296, 0.7285450100898743, 0.04055125638842583, 0.7386033535003662, 0.35697880387306213, 0.39844396710395813, -0.5965924263000488, -0.2728571891784668, -0.6919171214103699, -0.6871083974838257, 0.7602179646492004, 0.16838429868221283, -0.2698175013065338, 0.6755219101905823, 0.12167666107416153, -0.6541867852210999, 0.2607497274875641, -0.9109998345375061, -1.1953299045562744, -0.2105540633201599, 0.015451690182089806, 0.5627633929252625, 0.29973310232162476, 0.4372715651988983, -0.38351890444755554, 0.2505628168582916, -0.7773348093032837, 0.690129280090332, 0.15087023377418518, -0.5364445447921753, 0.08845257759094238, -0.5742798447608948, 0.9509879350662231, -0.9335088729858398, 0.27632027864456177, 1.0738470554351807, 0.674495279788971, 1.0274852514266968, 0.36284637451171875, 0.29108598828315735, 0.24199780821800232, -0.24726296961307526, -0.29343754053115845, 0.051598574966192245, 1.0731779336929321, 1.4303754568099976, -0.45882555842399597, 0.6566185355186462, -0.05067569762468338, -0.46324479579925537, 0.7806187868118286, 2.653891086578369, -0.017788497731089592, 0.6761981248855591, -0.6344931721687317, -0.5586667656898499, 1.4530658721923828, -0.32515665888786316, -0.03128757327795029, -1.0207899808883667, 0.2934073209762573, 0.9992626309394836, -1.4154459238052368, -0.6148049831390381, -1.1725683212280273, -0.5147218108177185, -0.5629070997238159, 1.6074265241622925, -1.521822214126587, -0.4340135157108307, -0.5604276061058044, -0.4058283865451813, -0.028140606358647346, -0.6103596091270447, 0.37725943326950073, -0.5325151085853577, 0.09531184285879135, -0.023219028487801552, -0.020766006782650948, 1.2984628677368164, 0.8346766233444214, 0.1751391738653183, 0.1811007559299469, 0.8027680516242981, -0.8721835613250732, -0.4788735508918762, -0.0013528282288461924, 1.2745039463043213, 0.31184083223342896, -0.5510000586509705, -0.6262431144714355, 0.04123922064900398, 1.9590654373168945, -0.561671257019043, -0.9437370896339417, -0.3179309070110321, 0.6686586141586304, -0.6312962770462036, 0.32236042618751526, -0.6485313773155212, -0.16423049569129944, -1.4517356157302856, -0.4725099802017212, -0.04661853238940239, 0.9180269837379456, 0.07097762823104858, 0.012653889134526253, -0.02554391883313656, 0.8243587017059326, -0.11784465610980988, 0.8036841750144958, -0.5088973641395569, -0.515586793422699, -0.5985718965530396, 0.1014067754149437, -0.7979059219360352, 0.25288334488868713, 0.1604768931865692, -0.0006792013882659376, -0.5965027809143066, -0.0633692666888237, 0.08572643995285034, -0.37823486328125, 0.7585996985435486, 1.3585149049758911, 0.48853474855422974, 0.12264349311590195, -0.13754308223724365, -0.9568607211112976, -1.0211018323898315, -0.26280513405799866, 0.7203332781791687, 0.4647279381752014, -0.15371762216091156, 0.8935993313789368, 0.08318347483873367, -1.1534152030944824, 0.17970076203346252, -0.13151618838310242, -0.4655379354953766, -0.47674694657325745, 0.15938012301921844, -0.20658281445503235, 0.07036294788122177, 0.1303464025259018, -0.5166239142417908, -0.2128492146730423, -0.28065815567970276 ]
1,094
0704.1096
Yasunari Kurita
Yasunari Kurita, Takao Morinari
Formation of a sonic horizon in isotropically expanding Bose-Einstein condensates
7 pages, 8 figures; Final version, accepted to Phys.Rev. A
Phys. Rev.A76:053603, 2007
10.1103/PhysRevA.76.053603
YITP-07-16, OCU-PHYS-264, AP-GR-40
cond-mat.other gr-qc hep-th
null
We propose a simple experiment to create a sonic horizon in isotropically trapped cold atoms within currently available experimental techniques. Numerical simulation of the Gross-Pitaevskii equation shows that the sonic horizon should appear by making the condensate expand. The expansion is triggered by changing the interaction which can be controlled by the Feshbach resonance in real experiments. The sonic horizon is shown to be quasi-static for sufficiently strong interaction or large number of atoms. The characteristic temperature that is associated with particle emission from the horizon, which corresponds to the Hawking temperature in an ideal situation, is estimated to be a few nK.
[ { "created": "Mon, 9 Apr 2007 11:29:32 GMT", "version": "v1" }, { "created": "Wed, 29 Aug 2007 03:50:02 GMT", "version": "v2" }, { "created": "Sat, 3 Nov 2007 06:05:37 GMT", "version": "v3" } ]
2009-11-13
[ [ "Kurita", "Yasunari", "" ], [ "Morinari", "Takao", "" ] ]
07
[ 0.0701894760131836, 0.0049895914271473885, 0.11603602021932602, 0.8681922554969788, -0.8821527361869812, -0.20992758870124817, 0.6115922331809998, 1.2104445695877075, -0.3529297411441803, 0.002049093833193183, 0.1615581214427948, 0.18087759613990784, -0.4051569104194641, 0.08118074387311935, -1.259974479675293, -0.8186413049697876, -1.1587449312210083, -2.3797249794006348, 0.15888886153697968, 0.7874922156333923, -0.02999238669872284, -1.253387689590454, -0.008876877836883068, -0.1949775516986847, 0.4564076066017151, -1.161567211151123, 1.6340864896774292, -0.41570335626602173, -0.14084628224372864, 2.4957873821258545, 0.47201472520828247, 0.3414756953716278, -0.4480980932712555, -0.4644657373428345, -0.020946504548192024, -0.19038812816143036, 0.3024219870567322, 0.28178778290748596, -1.2904785871505737, 1.0515648126602173, -1.293807864189148, 1.0935351848602295, 0.2790158987045288, -0.447922945022583, -0.6557592749595642, -0.8489259481430054, -0.6749311685562134, 0.28858983516693115, -0.4785453677177429, 0.5192570686340332, -0.701988935470581, 1.0761032104492188, 0.3107617199420929, 0.16731342673301697, -0.11626654863357544, 0.3475310206413269, 0.3832816779613495, 0.900774359703064, -0.4737743139266968, -0.7202352285385132, -0.49327898025512695, -0.07035286724567413, -0.6290899515151978, 0.06630290299654007, 0.25110581517219543, 0.44152992963790894, 2.190788984298706, -0.03152446076273918, 0.3367977738380432, 0.5466604828834534, -0.96994948387146, 0.8052347302436829, -0.053794823586940765, -0.7432742714881897, 0.3416016101837158, -0.5197691321372986, -0.1741623729467392, -0.24247467517852783, 0.9645451307296753, -1.2931920289993286, 0.5166979432106018, -0.18427880108356476, 0.7437130212783813, -1.3964473009109497, -0.22203122079372406, 0.9716716408729553, 0.5614551901817322, -0.15828628838062286, -0.687781035900116, -0.11388137191534042, 0.0019012774573639035, -0.7464607357978821, -0.899100661277771, 0.15432511270046234, 0.5598518252372742, -0.05595112964510918, -1.338629961013794, -0.8159392476081848, 0.13159862160682678, 0.16580256819725037, 0.5185795426368713, 1.4501980543136597, 0.29271572828292847, 0.8652064204216003, 0.3837909400463104, -0.1087760254740715, 0.15507163107395172, 1.2045537233352661, -0.9544769525527954, 0.30871328711509705, 1.7110508680343628, -0.06013078987598419, 0.5613630414009094, 1.2969791889190674, -1.3435308933258057, -0.5594193935394287, 1.0111993551254272, -0.46597549319267273, -0.9439187049865723, 0.3779246509075165, 0.8169377446174622, 0.23542121052742004, 0.13069535791873932, -0.33751562237739563, 0.9223213195800781, -0.9408552646636963, -1.0391896963119507, -0.7372990250587463, 0.8665130734443665, -0.13399429619312286, 0.39418092370033264, 0.34885212779045105, 0.7575199007987976, 0.9969247579574585, -0.8994258642196655, -0.21634617447853088, -0.4454346299171448, -0.027903296053409576, 1.0380887985229492, -0.7701178193092346, -0.9285604357719421, -0.05487515404820442, -0.14841774106025696, 0.05898052826523781, -1.0365724563598633, 1.0712146759033203, 0.7105333209037781, 0.35232314467430115, 0.13119491934776306, 0.743060290813446, 0.7381874322891235, -0.10083965212106705, -0.36622336506843567, -0.06431489437818527, -0.21626035869121552, -0.09160905331373215, 0.6758431196212769, 0.6199120879173279, 1.2037937641143799, 0.8072587251663208, 0.6258443593978882, 0.7687981128692627, 1.5024824142456055, -0.6600685119628906, -0.430059552192688, 0.13963857293128967, -0.06470884382724762, 0.5119971036911011, -0.0005580576253123581, -0.23163464665412903, -1.3147432804107666, 0.0077127874828875065, -1.2862039804458618, -0.07447657734155655, -0.7701892852783203, 0.3953363299369812, 1.2119122743606567, -0.36972659826278687, -0.9493559002876282, 0.13295714557170868, 0.125128373503685, -1.095007300376892, 0.37593260407447815, 0.32150599360466003, 0.10361877828836441, 0.478387713432312, 0.38954129815101624, -0.9871853590011597, 0.4171762764453888, 0.35858264565467834, 0.7255591154098511, 1.1322427988052368, 0.1005060076713562, -0.4437224566936493, -0.9203598499298096, -0.46366292238235474, -0.10206126421689987, 0.49337348341941833, -0.24263408780097961, 0.24945658445358276, -0.35679054260253906, 0.608302116394043, 0.13705362379550934, 0.6908612251281738, 0.3456401526927948, 0.3673473596572876, -0.17906001210212708, -0.584807813167572, -0.5201879739761353, -0.701389729976654, 0.03521771728992462, 0.5384899973869324, -0.8404865860939026, -1.0526760816574097, 0.643038272857666, 0.009740643203258514, 0.5387932062149048, -0.9917993545532227, 0.5094473361968994, 0.34153908491134644, 0.3057824969291687, -0.06628493964672089, 0.762614905834198, -0.06993638724088669, -0.6143792271614075, 0.2860622704029083, 0.22079840302467346, -0.23132874071598053, -0.5451920032501221, 0.07808183878660202, 0.11453665047883987, -0.7235349416732788, -0.8124555349349976, 0.1597398817539215, 1.343788743019104, -0.4791894555091858, -0.35754862427711487, 0.6943492889404297, -0.6438945531845093, -0.019221387803554535, -0.13941583037376404, -0.9573661088943481, 0.32524392008781433, 0.5777330994606018, -0.4453297555446625, 0.6342740654945374, 0.7028299570083618, 0.576388955116272, 0.6639139652252197, -0.11350836604833603, 1.1976649761199951, -0.04973355680704117, 0.004850361961871386, -1.7819814682006836, -0.35141798853874207, -0.6785436272621155, 0.0797538012266159, -0.05109323561191559, -0.23189310729503632, 1.1564053297042847, 0.4228752851486206, -0.411408931016922, 0.7996073961257935, 0.4307517409324646, 1.1097900867462158, -0.9874751567840576, 0.3103752136230469, -0.3826596736907959, -0.16008391976356506, -1.1154552698135376, -1.2158864736557007, -1.1398921012878418, -0.28127798438072205, -0.3199593722820282, 0.7128918170928955, -0.21767117083072662, -1.111255407333374, -1.121985673904419, -0.7305178046226501, 0.2437027543783188, 0.4710281491279602, -0.37362709641456604, 0.127859428524971, 1.4590532779693604, 0.48034435510635376, -0.226291686296463, 0.7664774656295776, 0.4299747943878174, 1.0237101316452026, 0.1290537714958191, 0.1535475254058838, -0.6459250450134277, 0.27307748794555664, -0.48976993560791016, -0.9155703783035278, -1.6513855457305908, 0.12996578216552734, -0.1171649917960167, 0.3257671594619751, -0.5445147752761841, 0.07015307247638702, -0.28457507491111755, -0.5034222602844238, -0.04078582674264908, 0.7268208861351013, 0.42999279499053955, -0.7156817317008972, 1.2678381204605103, -0.6775592565536499, -1.382818579673767, 0.6435768604278564, -0.6351017951965332, 0.15426281094551086, 1.449747085571289, 1.834675908088684, 0.3951539099216461, -0.2509121894836426, 0.5549265742301941, -0.26169273257255554, -0.5201625227928162, 0.25503644347190857, -0.4219541549682617, 0.22061140835285187, 0.4290448725223541, -1.0387511253356934, 0.4121342599391937, -0.0384485200047493, 0.16044138371944427, -0.7084089517593384, -0.2300899177789688, -0.5030444264411926, 0.22100043296813965, -0.7014725208282471, -0.8054719567298889, -0.8145439028739929, -0.782071053981781, -1.0093907117843628, 0.17888179421424866, 0.7712879180908203, -0.5239457488059998, 0.0780179426074028, 0.7900170087814331, 1.0843595266342163, 0.9308416843414307, -0.7826135754585266, -0.42102789878845215, -0.07908749580383301, -1.1767430305480957, 0.16443929076194763, 0.5443388223648071, -0.05748235806822777, 0.6502296924591064, -0.7975400686264038, -0.14431416988372803, 0.6398793458938599, -0.33780571818351746, 0.3411554992198944, 0.6007125377655029, 0.10127383470535278, -0.49124452471733093, 0.2689144015312195, 0.044960834085941315, 0.2286963164806366, -0.2315938025712967, 0.3119543492794037, 0.7892294526100159, -0.36472809314727783, 0.8372828960418701, -1.2640339136123657, 0.13336709141731262, -1.257736086845398, -0.42031171917915344, 0.3097083270549774, 0.22015923261642456, -0.9622623324394226, -1.1025760173797607, 0.421770304441452, -0.5544938445091248, -1.63173246383667, -0.2145986258983612, -1.3493115901947021, 1.1355996131896973, 0.45793262124061584, 0.759028971195221, -0.4232623875141144, 0.15893566608428955, -0.20555639266967773, 1.2714688777923584, -0.22354725003242493, 0.3708852231502533, -0.997286856174469, -0.5829775333404541, 0.010416409000754356, -0.7691819071769714, 0.7136842608451843, 1.1556401252746582, 1.01939857006073, -0.15628036856651306, 1.6377874612808228, 0.11316375434398651, 0.40888333320617676, 0.21435226500034332, 0.9086622595787048, -1.6381641626358032, -0.3238718807697296, 1.4914262294769287, -0.7442904710769653, -0.5674208402633667, 1.0582551956176758, 0.12246226519346237, 1.0113544464111328, -1.3740631341934204, -0.09476807713508606, -0.8064724802970886, 2.876370429992676, -0.42110905051231384, -0.8028882145881653, 1.743209958076477, -0.5225517153739929, 0.7154372930526733, 0.8476784825325012, -0.35438209772109985, 0.37703177332878113, 0.9969051480293274, 0.9410831332206726, 0.9592576622962952, -0.6251726746559143, -0.056718043982982635, 0.07358647137880325, -0.32806596159935, -0.9192301630973816, -0.43690845370292664, -0.5921536684036255, 1.6972746849060059, -0.22065044939517975, -0.9243087768554688, -0.033361196517944336, -0.37772372364997864, -0.4595896601676941, -0.29301437735557556, 0.8191045522689819, -0.6274908185005188, -0.6565104126930237, -1.0974276065826416, -0.6887950897216797, 0.6175075173377991, 0.21188229322433472, 0.3448728621006012, 0.2746585011482239, 0.6980741024017334, 0.22709080576896667, -0.5488035678863525, 0.06481063365936279, -0.03204915672540665, 0.26489362120628357, -0.8043829798698425, -2.031219720840454, 2.213585138320923, -1.6905750036239624, 0.384072870016098, -0.4117928147315979, 0.3320956230163574, 0.982359766960144, -2.150113344192505, -0.19569921493530273, -0.7619562149047852, 0.5244734287261963, -0.9613211750984192, -0.4462500810623169, -0.463675856590271, -0.6474541425704956, -1.0441398620605469, -0.17460891604423523, -0.6901747584342957, -0.9226188659667969, 0.9047315716743469, -0.7896878719329834, -1.379154920578003, -0.35701969265937805, 0.1299041360616684, 0.3313744068145752, 1.057527780532837, -1.445337176322937, 0.780144214630127, -0.7442855834960938, -0.19022797048091888, 0.09806665033102036, -0.619265615940094, 0.27046632766723633, 0.5831141471862793, 0.2552627921104431, -0.0524405911564827, -0.3109653890132904, 0.34060871601104736, 0.4135769009590149, 0.021368304267525673, -0.18812687695026398, -0.10384657979011536, -0.5548977255821228, -0.6140998005867004, 0.6915297508239746, -1.6181933879852295, 0.11915048956871033, -0.36824896931648254, -1.6060407161712646, 0.0694011002779007, -1.2650219202041626, 1.2397218942642212, 0.16292372345924377, 0.15027369558811188, -0.6686391234397888, 1.0931302309036255, 1.1109638214111328, -0.11606281250715256, 0.1829744577407837, -0.6711757779121399, -0.5773587822914124, -3.0315825939178467, 0.2635166049003601, 0.1440623253583908, 1.1684463024139404, 0.24680237472057343, 0.5568781495094299, 0.14549946784973145, -0.30821850895881653, 0.04889076575636864, 0.1966082602739334, -0.17054063081741333, 0.1661442369222641, 0.589643120765686, 0.048235613852739334, 0.2976064682006836, -0.3607402443885803, -1.1625404357910156, 0.10964580625295639, -0.211152583360672, -0.0268712155520916, 0.11473478376865387, -0.33130404353141785, -0.5093204379081726, -0.37077197432518005, -0.03881973400712013, 0.34138718247413635, -0.9927915930747986, -0.9368180632591248, -0.4938011169433594, -0.9898420572280884, 0.8924336433410645, 0.21078447997570038, 0.6979206800460815, 0.7559248805046082, 0.14895036816596985, -0.47688186168670654, 0.17694392800331116, 0.6882781386375427, -1.6003272533416748, -6.997229099273682, 0.4140641391277313, -0.28539714217185974, -0.1740560680627823, 0.31445246934890747, 0.7323766946792603, -0.9157934188842773, 0.0534806028008461, 0.13513068854808807, -1.3050446510314941, 0.5198076367378235, -0.14771296083927155, -0.23731885850429535, -0.09537462890148163, -0.5284598469734192, -0.5489924550056458, 0.495963454246521, 0.4711688458919525, -1.6770062446594238, 0.8196694254875183, -0.6090293526649475, 0.43785926699638367, -0.5084490180015564, -0.032668277621269226, 0.01187968160957098, -1.081100344657898, 0.09765588492155075, 0.4019939601421356, -1.057515263557434, -0.11360687762498856, -0.464421808719635, 1.913750171661377, -0.8380929827690125, 0.8571535348892212, 0.763218879699707, -0.4457753896713257, 0.15731185674667358, 1.2178351879119873, 1.01961350440979, -0.31219759583473206, -0.391358882188797, 1.1158502101898193, -0.19233636558055878, 0.6666929125785828, -0.8141018152236938, 0.07963179051876068, -1.1884877681732178, -0.4679953157901764, 0.6456296443939209, 0.15687234699726105, -1.818426489830017, -0.073555126786232, -0.654121458530426, 0.13595496118068695, -0.6264125108718872, -0.5295870900154114, -1.0810822248458862, -0.07311293482780457, 1.383603811264038, 0.45450544357299805, 0.24035286903381348, -0.5268975496292114, -0.6307340860366821, 0.037569496780633926, 0.8482202887535095, -0.6889257431030273, 0.9602140188217163, -1.5001391172409058, 0.15224289894104004, 0.22070875763893127, -0.2288295030593872, -1.293610692024231, -1.2151015996932983, -0.6922507286071777, -1.0037585496902466, -0.061870258301496506, -0.27836766839027405, 0.6759077310562134, -0.8519237041473389, -0.5514928102493286, 0.5849866271018982, 0.7329248785972595, 0.19528354704380035, 0.547408938407898, -0.08164381235837936, -0.6483396887779236, 0.15251287817955017, 0.5136903524398804, 0.5372415781021118, -1.1065524816513062, -0.022053146734833717, -0.5529288649559021, 0.9882605075836182, -0.9958149194717407, 0.7314168810844421, 0.8149719834327698, 0.43729859590530396, -0.582684338092804, -1.1202505826950073, -0.21535462141036987, 0.3710262179374695, -0.3060479164123535, -0.03434606269001961, 0.6535761952400208, -0.32089197635650635, -0.6182026267051697, -0.6486446261405945, 0.6670164465904236, -0.0711778923869133, -0.2153337448835373, 0.2845548689365387, -0.2817617654800415, -1.0273054838180542, -0.07055265456438065, 0.7555162906646729, 0.20651386678218842, 0.3165767788887024, -0.4851052761077881, 0.19138552248477936, -0.17507304251194, 0.593018651008606, -0.5266808867454529, -0.8687214851379395, -0.5051137804985046, 0.7719576358795166, -0.49676573276519775, 0.5070551633834839, -1.1620173454284668, -0.24696558713912964, -0.40401163697242737, -0.30181729793548584, -0.14357540011405945, -1.5906460285186768, -0.6734195351600647, -0.14466208219528198, 1.1577612161636353, -0.3608902096748352, -0.1781037598848343, -0.4831090569496155, -0.07391239702701569, 1.1541895866394043, -0.31252172589302063, -0.6323261857032776, -0.0780131071805954, 0.7473359704017639, -1.0507164001464844, -1.0617843866348267, 0.8560963869094849, -1.3476823568344116, -0.08813202381134033, 0.7048704028129578, 0.19408275187015533, 0.23243065178394318, 1.5188710689544678, -0.007523426786065102, -0.5558848977088928, 0.8118915557861328, 0.5522542595863342, 0.7817395925521851, -0.23023444414138794, -0.7885617017745972, 0.5960276126861572, 0.2248663306236267, 0.9478791952133179, -0.5810824632644653, -0.6346695423126221, 1.0979278087615967, 0.8643423318862915, 0.024929283186793327, -2.209731101989746, -0.27986568212509155, 0.32523971796035767, -1.025360107421875, -0.9168757796287537, -0.4409423768520355, 0.43189331889152527, -0.34038108587265015, 0.2912924885749817, -0.2732495367527008, -1.136257290840149, -0.2681332528591156, 0.8802840709686279, 0.1632246971130371, 1.3166269063949585, -0.4957241714000702, 1.114211916923523, -1.7825462818145752, 0.7726647257804871, 0.17266292870044708, 0.06252788752317429, 0.22510075569152832, 0.04556957632303238, -1.2386503219604492, 0.08339797705411911, -0.9764583706855774, 0.16887257993221283, -0.988437831401825, -0.6967775821685791, -0.9090328812599182, 0.708668053150177, -0.4571966528892517, 0.3282409906387329, 1.0012905597686768, 0.1357087939977646, 1.3031103610992432, 0.12458666414022446, -0.45494765043258667, 0.6406484246253967, -0.7579647302627563, -0.5113414525985718, 0.34914806485176086, -0.09978944063186646 ]
1,095
0704.1097
Enzo Granato
Enzo Granato
Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration
7 pages, 5 figures, to appear in Phys. Rev. B
Phys. Rev. B 75, 184527 (2007)
10.1103/PhysRevB.75.184527
null
cond-mat.supr-con cond-mat.stat-mech
null
We use a driven Monte Carlo dynamics in the phase representation to determine the linear resistivity and current-voltage scaling of a two-dimensional Josephson-junction array at an irrational flux quantum per plaquette. The results are consistent with a phase-coherence transition scenario where the critical temperature vanishes. The linear resistivity is nonzero at any finite temperatures but nonlinear behavior sets in at a temperature-dependent crossover current determined by the thermal critical exponent. From a dynamic scaling analysis we determine this critical exponent and the thermally activated behavior of the linear resistivity. The results are in agreement with earlier calculations using the resistively shunted-junction model for the dynamics of the array. The linear resistivity behavior is consistent with some experimental results on arrays of superconducting grains but not on wire networks, which we argue have been obtained in a current regime above the crossover current.
[ { "created": "Mon, 9 Apr 2007 11:50:31 GMT", "version": "v1" } ]
2009-11-13
[ [ "Granato", "Enzo", "" ] ]
07
[ -0.17837387323379517, 0.20218674838542938, -0.27678000926971436, 1.108519196510315, -0.4809999167919159, 0.49517622590065, 1.6056112051010132, 0.6001712083816528, -0.3231552541255951, 0.04664096608757973, -1.066232442855835, 1.147283673286438, 0.30302202701568604, 0.8486104011535645, 0.06612522155046463, -0.5209426879882812, -0.3324509561061859, -0.9205115437507629, 1.5047621726989746, -1.0485634803771973, -0.2394755482673645, 0.2515804171562195, 0.4652610123157501, -1.2592861652374268, -0.0836125984787941, -0.06846755743026733, -0.06268905848264694, 0.8801324367523193, 0.9215180277824402, -0.32505130767822266, -0.4910402297973633, -0.03626800328493118, 1.9809867143630981, -0.47777873277664185, 1.6590896844863892, 0.028445785865187645, 0.6843284964561462, 0.14919878542423248, -0.32462695240974426, 0.4174850583076477, 0.22894984483718872, 0.4476180672645569, -1.0875847339630127, 0.008001289330422878, -0.9377514123916626, 0.38714247941970825, 0.17674873769283295, 0.5052927732467651, -0.8282339572906494, -0.2539219260215759, 0.09369951486587524, -0.3428248167037964, 0.22687341272830963, -0.21516180038452148, 2.0910301208496094, -0.4888475239276886, 0.5238778591156006, 0.17712844908237457, 0.5478386282920837, -0.07318150997161865, 0.383491188287735, 0.094480000436306, -0.5543463230133057, -0.31743311882019043, -0.04221263900399208, 0.4664972722530365, 1.1193467378616333, -0.2994239628314972, -0.038785211741924286, 1.003172516822815, -0.2913200259208679, -0.2962378263473511, 0.44542795419692993, -0.4397177994251251, -0.13475988805294037, 1.3796727657318115, 0.7942087650299072, 0.4182102084159851, 1.3381836414337158, 0.4347032606601715, 0.1842498481273651, 0.5465114116668701, 1.128480076789856, -0.5327373147010803, -0.13672493398189545, -0.9909654855728149, 1.009372353553772, 0.4126640856266022, -0.3542715311050415, -1.3674395084381104, -0.08536688983440399, -0.11988282203674316, -0.27128225564956665, -0.02071339078247547, 0.39041924476623535, 0.44625377655029297, 0.03809312358498573, -0.11006613075733185, -0.11159934848546982, -0.2503502666950226, -0.39587685465812683, 1.3444427251815796, 1.3122057914733887, 0.15898990631103516, 0.1300385743379593, 0.692319929599762, -0.36557266116142273, -1.2529486417770386, -1.1096923351287842, 0.5139214396476746, -0.5747936964035034, -0.9229218363761902, -0.680069625377655, 0.7123875021934509, -0.7508002519607544, -0.16715803742408752, 0.27420902252197266, -0.342912495136261, 0.2510729432106018, 0.5074153542518616, 1.1198859214782715, 0.5841959714889526, 0.40714845061302185, -0.7698407173156738, 0.6941049695014954, -0.7251667976379395, -0.0048865703865885735, -0.7055509686470032, 0.5327461957931519, -1.2171688079833984, 0.012258457019925117, -0.8734327554702759, 0.32752731442451477, 1.5919389724731445, -0.7238567471504211, 1.0513373613357544, -0.0141786839812994, -0.351502001285553, -0.5186756253242493, -0.9504631161689758, -0.3439137637615204, -0.5545013546943665, -0.5347433090209961, -1.6173862218856812, 1.2599133253097534, -0.34584927558898926, -1.482720971107483, -0.5214671492576599, 0.18113785982131958, -0.016325464472174644, -0.45165058970451355, 0.5890699625015259, 1.0875598192214966, 1.208849310874939, 1.2163035869598389, 0.5223255753517151, 1.1491913795471191, 1.2262458801269531, -0.5342982411384583, 0.3814294636249542, -0.43326300382614136, 0.29669874906539917, 0.049989521503448486, -1.3953237533569336, -0.413218230009079, 0.31703296303749084, -0.6152838468551636, 0.036154333502054214, -1.3747737407684326, -0.4810321033000946, 0.6902759671211243, -0.7981465458869934, -1.2972725629806519, 1.074092984199524, -1.248321771621704, 0.6525954008102417, 0.5784392356872559, 0.39492347836494446, 0.23526759445667267, 0.2595900893211365, -0.3588543236255646, -1.494908332824707, 0.7616873383522034, -0.9238286018371582, 0.18743100762367249, 0.024303479120135307, 0.5065958499908447, -1.2925734519958496, -0.6094775795936584, -0.48825398087501526, -0.12489484995603561, 0.7518282532691956, -1.818773627281189, -2.015585422515869, 0.3915022909641266, 1.4252012968063354, 1.1271605491638184, -0.5698864459991455, -0.5082604885101318, -0.23542939126491547, -0.7441470623016357, 0.7073575258255005, 0.2298208773136139, 0.31293684244155884, -1.3434566259384155, -0.18548527359962463, -0.6165416240692139, 0.19473405182361603, -1.2040684223175049, -0.16893118619918823, 0.2592158019542694, 0.4201802611351013, -1.0819110870361328, 0.9341709017753601, -0.2071007937192917, 0.03650469332933426, -0.5546356439590454, -0.2693926990032196, -0.5841648578643799, 0.061049990355968475, -0.46334052085876465, 0.5342698097229004, 1.1190035343170166, 0.29684120416641235, 0.5642714500427246, -1.2171720266342163, -1.4120539426803589, -0.737483561038971, -0.6724535226821899, 0.5986612439155579, 0.9098421931266785, -1.226919174194336, 0.7987417578697205, -0.39360761642456055, -0.515518844127655, 0.19959670305252075, 1.1238915920257568, 0.038632459938526154, -0.7292435169219971, -1.3102964162826538, -0.5313421487808228, -0.37096232175827026, 0.6808458566665649, 0.5129601359367371, -0.3513287603855133, 0.19025202095508575, 0.19193151593208313, 1.1305997371673584, -0.15068645775318146, -0.48492753505706787, 0.11471934616565704, -0.6691698431968689, 0.6096620559692383, 0.7704334259033203, -1.4828715324401855, -0.4258490204811096, -0.056920092552900314, 0.5555741190910339, 0.8086952567100525, 0.8371937274932861, 1.5546122789382935, -0.177701935172081, 1.3515121936798096, 0.28014394640922546, -0.777118444442749, -1.5490567684173584, -0.1609976589679718, 0.1481507271528244, 0.19654065370559692, 0.037008751183748245, 0.21628589928150177, -0.4910854995250702, -2.1161229610443115, 1.5777121782302856, 0.7354900240898132, -0.1223386898636818, -0.1840357929468155, -1.4079574346542358, 0.11449497938156128, 0.3162912130355835, 0.24614587426185608, 0.2840021848678589, 0.30879509449005127, -0.1433754563331604, 0.6736024022102356, 0.8885177373886108, -0.5525453686714172, -0.7935923337936401, -1.0393387079238892, 0.006897311192005873, -1.0072776079177856, -0.37776896357536316, 0.19485755264759064, 0.6306912302970886, -1.9680787324905396, -1.112735390663147, 0.5023125410079956, -0.5559777021408081, 0.09891447424888611, -0.08920382708311081, -1.632649540901184, -1.0758545398712158, 0.595201313495636, -0.5966669917106628, 1.2582472562789917, 0.11512192338705063, -0.601844072341919, -1.5652663707733154, 1.2029285430908203, 0.524198591709137, -0.23744137585163116, 0.3628658652305603, 0.05869137495756149, -0.8323147892951965, 0.27823084592819214, 0.81944340467453, -0.49308493733406067, -0.7702986001968384, -0.19887883961200714, 0.07228230684995651, 0.31993985176086426, -0.08742524683475494, 0.3041645586490631, -0.5563158392906189, -0.9728310108184814, -0.258430540561676, -0.37728118896484375, 0.08553170412778854, -0.2039070874452591, -0.9822074770927429, -0.5379642248153687, -0.042541854083538055, -0.6038110256195068, -0.4970398247241974, 0.24956579506397247, -0.26610955595970154, -0.557420015335083, -0.41942039132118225, 1.3638370037078857, -0.48506399989128113, -0.11674405634403229, 1.194075345993042, 1.9770772457122803, -0.6375278234481812, -0.5904260873794556, -0.5982635021209717, 0.15257832407951355, -0.27577587962150574, 0.20968802273273468, 0.014913327991962433, -0.18811960518360138, -0.8819983005523682, 0.2152734249830246, 0.05652836337685585, -1.5139857530593872, 0.21130897104740143, 0.6555747985839844, -0.11139900237321854, -0.21896573901176453, -0.09588558971881866, -0.5741483569145203, -0.873175859451294, -0.22105693817138672, -1.1881834268569946, 1.4265962839126587, -0.9405614733695984, -0.12023196369409561, 0.557951807975769, -0.8407618999481201, -0.915852963924408, -0.285420686006546, 0.78543621301651, 0.49526718258857727, -1.0201090574264526, -0.7888246178627014, -0.8801146149635315, 0.3301624357700348, 1.1668561697006226, 0.7816133499145508, -0.47787103056907654, 0.21822760999202728, -0.9029790759086609, -0.7820958495140076, -0.1885097324848175, -0.8639522194862366, 0.24317266047000885, 0.012906416319310665, -0.030465342104434967, -0.5096174478530884, 0.6794001460075378, -0.2174561768770218, 0.2233542799949646, 0.24203050136566162, 0.1250404715538025, -0.73380446434021, 0.45799899101257324, 1.6760749816894531, 0.9712042212486267, 1.1093177795410156, 0.19142389297485352, 1.3113704919815063, -0.19722890853881836, -0.2133343517780304, 1.2712998390197754, -0.07746775448322296, -0.31454387307167053, 0.5908362865447998, 0.4207838475704193, -0.4727656841278076, -0.21074599027633667, 0.24292662739753723, -1.2014654874801636, 1.7898995876312256, -0.1990245282649994, 0.40950584411621094, -0.3672398328781128, -0.8625335693359375, -0.040708284825086594, 0.9282693862915039, -0.20037734508514404, -0.4776466488838196, 0.16191287338733673, -0.014092501252889633, -0.22525452077388763, 0.503441572189331, 0.7085937261581421, -0.87385493516922, -0.33619019389152527, -0.6163952946662903, -0.20066170394420624, 0.19272182881832123, 0.4726628065109253, -0.45438045263290405, 0.5568883419036865, -0.05125275254249573, -0.45462697744369507, -1.209486484527588, 0.6200685501098633, 0.0066521428525447845, -0.5492594838142395, -0.3819560110569, 0.6487218737602234, -1.3490415811538696, -0.9723982214927673, 0.76170814037323, -0.31558123230934143, -0.27709531784057617, 2.105867624282837, 0.6927489638328552, -0.5982210636138916, -0.7559031844139099, 0.11027774214744568, 0.06461900472640991, 0.41165581345558167, 0.2673414647579193, -1.730772614479065, -0.40042844414711, 0.9383058547973633, -0.5021827816963196, -0.851074755191803, -1.0778528451919556, -0.5077971816062927, 1.060300588607788, -0.32423755526542664, -0.26428312063217163, -0.5862307548522949, 0.022471288219094276, 0.24653449654579163, -0.2933770716190338, 0.043931927531957626, 0.12978559732437134, 0.2286379486322403, 1.0444960594177246, 0.8805825710296631, 0.020470641553401947, 0.09322168678045273, 0.7319068312644958, -0.04758242145180702, 0.246917724609375, 0.5665927529335022, 0.3812565803527832, 0.14314652979373932, 0.3091815412044525, -0.9753541946411133, -0.8024528622627258, 0.8989830017089844, -0.1424127221107483, -0.6577210426330566, 0.32882159948349, -0.32260116934776306, 0.36085057258605957, 0.12195702642202377, 0.13886487483978271, 0.8076035976409912, 0.4512212872505188, -0.14075973629951477, 1.062105417251587, 0.9596575498580933, 1.1408030986785889, -1.1919372081756592, 0.8944613337516785, -0.4731998145580292, -1.2699296474456787, 0.6167803406715393, -0.41285786032676697, -0.04337627440690994, -0.3705228865146637, 0.34057456254959106, 0.2373843491077423, 0.937713086605072, 0.6465275287628174, 0.4281640946865082, 0.25594502687454224, -0.2716248631477356, 0.3954370319843292, -1.311591386795044, -0.1922006905078888, -2.658517599105835, 1.626509428024292, -1.057083249092102, 0.7156473398208618, -0.21858076751232147, -0.015035231597721577, -0.9937400817871094, -0.6837929487228394, 0.09465619921684265, 0.7272228598594666, -1.0133123397827148, -1.0783582925796509, 0.12033283710479736, 0.24850523471832275, 0.578009307384491, -0.8561481833457947, -0.4476379156112671, 0.3644072711467743, -0.004518262110650539, 0.6045454740524292, 0.5299818515777588, -1.7834463119506836, -0.025744354352355003, 0.08342299610376358, -0.6139566898345947, 0.2540934979915619, 0.04560815915465355, -0.16254445910453796, 0.21107982099056244, -0.19542647898197174, 0.19417282938957214, -1.030261516571045, 0.22538980841636658, 0.416557252407074, -0.5501653552055359, 0.14302468299865723, 0.310377299785614, -0.3074933886528015, -0.14471320807933807, -6.217489242553711, 0.42741286754608154, -0.6765811443328857, -0.8125960826873779, 0.5166026949882507, -1.2080986499786377, -0.4071696400642395, -0.5364174246788025, 0.32742100954055786, 0.2514420747756958, -0.33883193135261536, -0.16400855779647827, -0.7555530071258545, -0.27815982699394226, -0.26085957884788513, -0.6828098893165588, 0.6252883672714233, -0.018265370279550552, 0.7690567970275879, 0.6947017312049866, -0.28972455859184265, -0.2636924684047699, 0.008171427063643932, -0.3550254702568054, 0.7524305582046509, 0.07374595105648041, -0.10510221123695374, 0.045999232679605484, 0.13584600389003754, 0.21490314602851868, -0.8168362379074097, 1.5521643161773682, -0.3087387681007385, 0.06261800229549408, 1.1609525680541992, -0.5486240386962891, -0.4607047736644745, -0.47389301657676697, 1.8718429803848267, 0.5060343742370605, 0.9136912226676941, -0.26101115345954895, -0.23296649754047394, -1.4682132005691528, -1.269072413444519, -0.07877601683139801, -0.47572946548461914, -1.2404060363769531, 0.18820331990718842, 0.5527000427246094, -0.7873215675354004, -0.7009967565536499, 0.5078550577163696, 0.007467630784958601, -0.8522173762321472, -0.37509116530418396, -0.7019558548927307, -0.450184166431427, 0.3922741413116455, -0.38859596848487854, 0.6841074824333191, -0.7349230051040649, 0.7852090001106262, 0.9849895238876343, 0.14425581693649292, -0.1621357947587967, 0.4800682067871094, -0.3003621995449066, 0.26417773962020874, -0.4486151933670044, 0.10826774686574936, -1.5092347860336304, 1.1240789890289307, 0.6088608503341675, 0.695071816444397, -1.2168811559677124, 0.07988259196281433, -0.8042053580284119, 0.6518452763557434, 0.7381649613380432, 0.9426742792129517, -0.411012202501297, 1.4768277406692505, 1.525026559829712, 0.7298104166984558, -0.15695814788341522, 0.5584850311279297, -0.842384397983551, -1.090177297592163, -1.6076390743255615, 0.17400480806827545, 0.11319039016962051, 0.06702190637588501, -1.0643585920333862, -0.24479202926158905, 0.5461164116859436, -0.3289329409599304, 0.06525355577468872, 0.1011059582233429, -0.8793439269065857, -0.030010458081960678, -0.7346060276031494, -1.141745686531067, -0.7872450351715088, 0.5442479848861694, -0.11323719471693039, 0.8556933999061584, -0.6636852025985718, 0.7359963059425354, -0.6109021902084351, -1.0005056858062744, 0.6842265129089355, -1.5242270231246948, -0.22201262414455414, -0.7168029546737671, -0.683131217956543, -0.4308244585990906, 0.5130961537361145, -1.8202558755874634, 0.1170019879937172, -0.9138105511665344, -0.6855198740959167, -0.31849896907806396, 1.3686513900756836, 0.9697830677032471, -1.0722215175628662, 1.346272587776184, 1.8894144296646118, 0.6309857368469238, -0.0348241925239563, 0.12426809221506119, -0.376100093126297, 1.181583285331726, -0.33338379859924316, -0.2775169610977173, 1.390255331993103, 0.8650676012039185, 0.8397128582000732, -0.23328381776809692, 0.7878796458244324, 0.3441588878631592, 0.3842224180698395, -0.9847707152366638, -1.0806983709335327, -0.0025110342539846897, -0.79721999168396, 1.1937487125396729, 0.9849746227264404, -1.3083314895629883, 0.37066778540611267, -0.3863467276096344, 0.459249883890152, 0.01643638126552105, 0.30347466468811035, -0.17063146829605103, -0.4310469627380371, -1.1877076625823975, -0.704512894153595, -0.0334148183465004, -1.3298712968826294, -1.1130560636520386, 0.2788982391357422, 0.18790778517723083, 0.9054758548736572, -1.1715179681777954, 1.2128126621246338, 0.07815252989530563, 0.4738439619541168, -0.46273306012153625, 0.26352429389953613, 0.24337390065193176, -0.7982878088951111, -0.6437510251998901, -1.9224647283554077, 0.5584924221038818, -0.9344984292984009, -1.0403200387954712, -0.21776515245437622, -0.9837774038314819, -0.2999725341796875, 0.334778368473053, -0.12088588625192642, 0.08921191096305847, 1.6341031789779663, -1.3645540475845337, 0.2831699252128601, -1.1281336545944214, 0.5531863570213318, -0.6675543785095215, -0.5278242826461792, 0.1672326624393463, -0.3722081482410431, -0.9225231409072876, -0.022827044129371643, 0.17659913003444672, -0.8308295011520386, -0.5067179203033447, -0.37481147050857544, 0.6887302398681641, -1.2815005779266357, 0.2965150773525238, 2.1603472232818604, -0.4691825807094574, -0.6275480389595032, 1.0112463235855103, -0.7572457790374756, -0.5742753148078918, 1.2273801565170288, -0.6059380173683167, -0.36183080077171326, 1.2503308057785034, -0.3476024568080902 ]
1,096
0704.1098
Tom\'as Alonso
A. Fuente, C. Ceccarelli, R. Neri, T. Alonso-Albi, P. Caselli, D. Johnstone, E.F. van Dishoeck, F. Wyrowski
Protostellar clusters in intermediate-mass (IM) star forming regions
4 pages, 3 figures, accepted for publication in Astronomy and Astrophysics Letters (Special Feature IRAM/PdB)
null
10.1051/0004-6361:20077297
null
astro-ph
null
The transition between the low density groups of T Tauri stars and the high density clusters around massive stars occurs in the intermediate-mass (IM) range (M$_*$$\sim$2--8 M$_\odot$). High spatial resolution studies of IM young stellar objects (YSO) can provide important clues to understand the clustering in massive star forming regions. Aims: Our aim is to search for clustering in IM Class 0 protostars. The high spatial resolution and sensitivity provided by the new A configuration of the Plateau de Bure Interferometer (PdBI) allow us to study the clustering in these nearby objects. Methods: We have imaged three IM Class 0 protostars (Serpens-FIRS 1, IC 1396 N, CB 3) in the continuum at 3.3 and 1.3mm using the PdBI. The sources have been selected with different luminosity to investigate the dependence of the clustering process on the luminosity of the source. Results: Only one millimeter (mm) source is detected towards the low luminosity source Serpens--FIRS 1. Towards CB 3 and IC1396 N, we detect two compact sources separated by $\sim$0.05 pc. The 1.3mm image of IC 1396 N, which provides the highest spatial resolution, reveal that one of these cores is splitted in, at least, three individual sources.
[ { "created": "Mon, 9 Apr 2007 11:52:06 GMT", "version": "v1" } ]
2009-11-13
[ [ "Fuente", "A.", "" ], [ "Ceccarelli", "C.", "" ], [ "Neri", "R.", "" ], [ "Alonso-Albi", "T.", "" ], [ "Caselli", "P.", "" ], [ "Johnstone", "D.", "" ], [ "van Dishoeck", "E. F.", "" ], [ "Wyrowski", "F.", "" ] ]
07
[ -0.28182464838027954, 0.5154436826705933, 0.4337814152240753, -0.012127991765737534, -0.9994317889213562, -0.5614831447601318, -0.15159951150417328, 0.7505281567573547, -0.39867642521858215, 0.3533039689064026, -0.9324595928192139, 1.4523481130599976, -0.11790899187326431, 0.5177891254425049, 0.1656987965106964, 0.8547587990760803, -0.4636295735836029, -0.02609710954129696, 1.2778195142745972, 0.20149502158164978, 0.44473007321357727, -0.6612675189971924, -0.0526638962328434, -0.4663640558719635, -0.4233247935771942, 1.4582284688949585, 0.2563241124153137, -0.03723103180527687, 0.24771307408809662, -0.5699999332427979, -1.0182795524597168, 0.4372585117816925, -1.4832814931869507, 1.0755486488342285, 0.7372575998306274, -0.5117775797843933, 0.31623953580856323, -0.723192036151886, -1.1363892555236816, 0.6296852827072144, 0.04514904320240021, -0.8698145747184753, 0.3338460922241211, -0.14881514012813568, 0.3334437906742096, -0.40772563219070435, 0.7475845813751221, 1.270810842514038, -0.22684693336486816, 0.09561171382665634, -0.882607102394104, 0.1428319811820984, -0.7457559108734131, 0.03692426159977913, 0.35379815101623535, 0.4102783203125, 0.04973757639527321, -1.191225290298462, 0.3451679050922394, 0.4460529088973999, -0.23722955584526062, -0.4575188457965851, -0.2965790331363678, 0.1855326145887375, -1.221791386604309, -0.06243949010968208, -0.055586639791727066, 0.16009624302387238, 0.5433215498924255, -0.35879579186439514, -0.13322269916534424, 0.11109920591115952, -0.926611065864563, 0.2592560052871704, -0.6871500015258789, -0.24957437813282013, 1.8474526405334473, 0.32893019914627075, 0.018639398738741875, -0.7807731032371521, -0.4940028190612793, 0.344133198261261, -0.0495675690472126, -0.3641645610332489, -0.3145587742328644, -0.38764822483062744, -0.4146939814090729, -0.07433197647333145, 0.16441833972930908, -0.1437673419713974, 1.1136558055877686, -0.5336358547210693, 0.09663717448711395, 0.7980248928070068, 1.0194635391235352, 1.5639206171035767, -0.8324186205863953, -0.2700577974319458, -0.30023038387298584, 2.2551443576812744, -1.0490812063217163, -0.36529287695884705, 0.3656551241874695, 0.3365831971168518, -0.23282288014888763, -0.20235295593738556, -0.22241170704364777, -1.5507456064224243, 2.042236804962158, -0.788497269153595, -0.19968362152576447, -0.6192393898963928, -0.5970320105552673, -0.878253698348999, -0.29527658224105835, 1.2451109886169434, 0.26239338517189026, -0.4171546697616577, 0.8356376886367798, 0.4581321179866791, 0.23585982620716095, 0.5361909866333008, -1.5945910215377808, 0.9969241619110107, -0.36632779240608215, -0.6470078825950623, -0.5724902153015137, -0.3617194890975952, -0.33113211393356323, 0.32832130789756775, 0.21244849264621735, -0.22892960906028748, 0.11354983597993851, 1.5129904747009277, -0.4429759681224823, -0.8696328401565552, -0.10922636836767197, -0.027798105031251907, 0.33517855405807495, 0.05219161882996559, 0.9184846878051758, -0.37102651596069336, -0.20112839341163635, 0.6468939185142517, 0.4502156972885132, 0.3454524576663971, 1.0877883434295654, 0.4786563515663147, 1.1437510251998901, 1.5292843580245972, -0.07366302609443665, -1.265464425086975, -0.809232234954834, 0.25210943818092346, 1.0051205158233643, 0.1949378103017807, 0.3211379945278168, -1.2068027257919312, 0.7667924761772156, -0.00543199060484767, 0.043877944350242615, 0.40210792422294617, 0.9076892733573914, -0.34897857904434204, 0.004366623237729073, -0.11909003555774689, 1.0056647062301636, 0.19081102311611176, 0.1244327500462532, 0.9338147044181824, 0.07880505174398422, -0.614885151386261, -1.4959520101547241, -0.19539111852645874, -0.02175273187458515, -0.055321935564279556, -0.1742980182170868, -1.2816241979599, -0.6358035206794739, -0.09047823399305344, 0.8714233636856079, 0.6521770358085632, 0.12267327308654785, 0.043564099818468094, 0.23827047646045685, 0.805732786655426, 0.9375860691070557, -0.11924940347671509, 0.6130549311637878, 0.5431048274040222, 0.11766736209392548, -0.003345681354403496, -0.04367369785904884, -0.9528664946556091, -0.10775639861822128, 0.9494016170501709, 0.571082353591919, -0.4854087233543396, -0.15468887984752655, 0.10004314035177231, -0.5596138834953308, -0.09972501546144485, 0.027372287586331367, 1.2358661890029907, 0.0007562944665551186, -1.5865501165390015, -0.06390783190727234, 2.164367437362671, 0.7458322048187256, -0.11119145900011063, -0.10304431617259979, 0.23741216957569122, -0.055587854236364365, 0.5728840231895447, 1.593227505683899, 0.1436888724565506, 0.0852111354470253, -1.0465567111968994, 0.5129024982452393, 0.3906674385070801, -0.1919856071472168, 1.467921257019043, 1.4447317123413086, 0.25771960616111755, 0.08024084568023682, 0.34313973784446716, -0.7560767531394958, -1.8247406482696533, 0.7345706224441528, -0.1823100596666336, -1.5377599000930786, -0.34370166063308716, -0.3617064654827118, -0.4468892514705658, -0.22179588675498962, 0.2964537739753723, -0.451316773891449, 0.07424033433198929, -0.07413274794816971, 0.5463144183158875, -0.22253119945526123, 0.3827281892299652, 0.1557466834783554, -0.5890471339225769, 0.10511460155248642, 0.6419784426689148, 0.5299230813980103, -0.018690241500735283, -0.7607841491699219, 0.8539422154426575, -1.1328411102294922, -0.14333635568618774, -1.5251972675323486, -1.154179573059082, 0.17075955867767334, 0.2564900815486908, -1.0540636777877808, -1.0468530654907227, -1.9824095964431763, -0.2769235372543335, -0.4935123026371002, -0.19274167716503143, 0.34759923815727234, 0.925769567489624, -0.331097275018692, -1.796754002571106, -0.0448896549642086, -0.9113560914993286, -0.7802375555038452, -0.5126198530197144, -0.11402489244937897, -0.5401657819747925, 0.9121628999710083, 0.18957000970840454, -0.3393135666847229, 0.1646864414215088, 1.1734378337860107, -1.920278549194336, -0.4732413589954376, 0.1796342134475708, 1.2432111501693726, -0.8064733743667603, -0.5579294562339783, 1.7021496295928955, 0.22437995672225952, -0.3153385519981384, 1.3526732921600342, -0.2348748743534088, 0.8138758540153503, 0.9409431219100952, -1.0344185829162598, -1.3844951391220093, -0.31781062483787537, -0.5805402994155884, -0.44588086009025574, 0.832070529460907, -0.5790674686431885, -0.5772614479064941, -1.126827359199524, -0.10750485956668854, 0.521323025226593, 0.20976552367210388, -0.4305013418197632, 0.1897452473640442, 0.2864024341106415, -0.3266961872577667, -0.22582340240478516, 0.07591842114925385, 0.14829662442207336, -1.8646172285079956, 0.20796431601047516, -0.08550312370061874, 0.4345284402370453, -0.15867425501346588, 0.4190122187137604, 0.6170027256011963, -0.8601772785186768, -0.1157609298825264, -0.3849027156829834, -2.203155517578125, 0.35501629114151, 0.07052342593669891, -1.6229699850082397, -0.14708483219146729, -0.4105488657951355, 0.1618005335330963, -0.09138377010822296, 0.06340222805738449, -0.5641692876815796, 0.471484899520874, -0.0879226103425026, -0.49492543935775757, 0.24623942375183105, -0.7539561986923218, 0.9602460861206055, -0.6532272696495056, -0.05687500163912773, 0.13534386456012726, 1.2658883333206177, 0.1757260262966156, 0.5178318023681641, 1.6676725149154663, -0.939824104309082, 1.569890022277832, 0.31201592087745667, 0.1967674046754837, -0.0369754396378994, -0.526326060295105, 0.2822727560997009, 1.0557504892349243, 0.5185568332672119, 1.4669389724731445, 1.0060666799545288, 0.6891453862190247, 0.9048829674720764, -0.24107028543949127, 0.3063437342643738, -0.19594325125217438, -1.3187466859817505, -0.25406932830810547, 0.6459362506866455, -0.755187451839447, 0.47908636927604675, -0.19128450751304626, 0.8693409562110901, -0.7860620021820068, -1.0007649660110474, 0.1768513172864914, 1.273469090461731, 0.3689051568508148, -1.2425527572631836, -1.0826704502105713, 0.11217169463634491, 0.4931713938713074, 0.7891802787780762, 0.974182665348053, 0.39742588996887207, 0.18705140054225922, 1.1876052618026733, -0.08627081662416458, -0.9681040644645691, -0.7818019390106201, 0.06648903340101242, 0.4934995174407959, 0.37301114201545715, 0.5589702129364014, -0.7254276871681213, 0.4282439649105072, 0.8426297903060913, -0.2234601527452469, -1.4185810089111328, 0.2050238400697708, 0.4630707800388336, -0.2247209995985031, 0.10961851477622986, 1.9660087823867798, -0.4442311227321625, 0.33126649260520935, 1.2517852783203125, 0.23215582966804504, -0.12853331863880157, -0.2234976440668106, 0.6488348245620728, -0.2726309597492218, -0.7302087545394897, -0.20765025913715363, -0.5525273680686951, 0.540014922618866, -0.5145211219787598, -0.19574885070323944, -0.29993802309036255, -1.261098861694336, 0.49329155683517456, 0.18660540878772736, 0.7828208208084106, -0.0584937185049057, -1.6416922807693481, -0.33554455637931824, 1.0207613706588745, -0.4569714367389679, 0.2978075444698334, -0.9576931595802307, 0.17408542335033417, 1.5068507194519043, -0.35708087682724, -0.10623423755168915, -0.12966737151145935, 0.7455875873565674, -0.4626735746860504, 0.6772870421409607, 0.06541583687067032, 0.14611537754535675, -0.32743948698043823, -0.05963432043790817, 0.05477892979979515, 0.3886857330799103, -0.29704830050468445, 0.6592654585838318, 0.3207070529460907, 0.019984284415841103, -0.5489722490310669, -2.4208149909973145, -0.414377361536026, -0.7777715921401978, -1.2725669145584106, -0.7382538318634033, -0.1407778412103653, -0.18254122138023376, -1.403010368347168, 0.7797660231590271, 0.5982774496078491, 0.21669863164424896, 0.22506286203861237, -0.15133753418922424, -0.03085174225270748, 0.16800697147846222, -0.25818878412246704, 0.30581480264663696, -0.9406241178512573, 0.2865217328071594, -0.3106996417045593, 0.24632330238819122, -1.4005730152130127, 1.2683273553848267, 0.07706751674413681, 0.770479679107666, 0.8508015871047974, -1.4653133153915405, 2.1134824752807617, -1.0556049346923828, -0.3275635242462158, -0.14295025169849396, -1.1652963161468506, -0.15287187695503235, -0.3588615357875824, 0.4900747537612915, -0.4707535207271576, 0.06514587998390198, 0.639944851398468, -0.6338819265365601, 0.1110081896185875, -0.9245928525924683, 0.27191999554634094, 0.32550716400146484, 0.30674487352371216, 0.28330865502357483, -0.5491719841957092, 0.8782103657722473, -0.15487511456012726, -0.714460551738739, -0.8456509113311768, 0.3790879547595978, -0.40394675731658936, -0.8207801580429077, -0.050706926733255386, 0.15727390348911285, -0.5440120100975037, 0.37426742911338806, 1.0350089073181152, -0.46067139506340027, -0.4336690902709961, -0.5827563405036926, 0.3945070803165436, -0.9173610210418701, -1.7012118101119995, 0.2972410023212433, -1.093139410018921, 0.782294511795044, -1.6568827629089355, -0.7450237274169922, -0.3183708190917969, 0.49909284710884094, -0.27899813652038574, 0.049834128469228745, 0.486376017332077, -0.20867209136486053, 0.82760089635849, -2.5002472400665283, 0.9581457376480103, -0.500781774520874, -1.3756557703018188, 0.3433797061443329, -0.4663342237472534, 1.8484697341918945, 0.3592592775821686, 0.22891221940517426, 0.7070404291152954, 0.7392024993896484, 0.29232990741729736, 0.019599279388785362, -0.0861017033457756, 1.2139116525650024, -0.8471298217773438, -1.8722361326217651, 1.1646476984024048, -1.2614679336547852, -0.17640429735183716, -0.6819362044334412, 0.469061940908432, 0.1307133138179779, -1.0170773267745972, -0.5035567283630371, -0.3905567526817322, 0.2655174434185028, -0.8754998445510864, -0.5998752117156982, 0.32143470644950867, -0.05201601982116699, -0.534552276134491, -1.042157769203186, -0.18848153948783875, 0.6285961270332336, 0.8021835088729858, 0.8327051997184753, 1.2942701578140259, -1.5455561876296997, -6.589354038238525, 0.1268133819103241, -0.47902119159698486, -0.5091866254806519, 0.2580644488334656, -0.30604487657546997, -0.6279093027114868, -0.07501160353422165, 0.15654833614826202, 0.9351385831832886, -0.6374653577804565, -0.09577519446611404, -0.5894003510475159, -0.47616884112358093, 0.247792050242424, 0.2322535216808319, -0.4745844006538391, 0.6607221961021423, 0.25365719199180603, -0.00027784856501966715, 0.4225510358810425, -0.9145958423614502, 0.07497488707304001, 0.3948296010494232, 0.7881342172622681, -0.6746808290481567, -0.7173225283622742, 0.8854812979698181, -0.04685787856578827, 1.3403643369674683, -0.2336004078388214, 0.41394567489624023, -2.051044464111328, 0.11036863178014755, -0.27713537216186523, 0.512967586517334, -0.019121432676911354, 2.215717315673828, 0.2939797043800354, -0.26046186685562134, -0.1573352962732315, 1.09554123878479, 0.21139241755008698, -0.25610560178756714, -0.28665444254875183, 0.2854638695716858, 0.36942094564437866, 0.38385602831840515, -0.03911782056093216, -1.1301617622375488, -0.3584352135658264, 0.8123485445976257, -1.3821192979812622, 0.00434869946911931, -0.8073340058326721, 0.4524805247783661, 0.022794704884290695, -0.4355466663837433, 0.4702532887458801, -0.5897383093833923, 0.025676304474473, -1.0765535831451416, -1.7729557752609253, 0.42265766859054565, -1.7519826889038086, 0.8439326882362366, 0.04819183051586151, -0.24627815186977386, 0.3020033836364746, 0.7719576358795166, -0.6459287405014038, -0.2624514698982239, -1.2743356227874756, -0.25097209215164185, 1.1182657480239868, 0.5225867033004761, -0.5100400447845459, 0.6218895316123962, 0.917138934135437, -0.6802349090576172, -1.6278505325317383, 0.49450889229774475, -0.5568749308586121, 0.2807648479938507, -0.1471913456916809, -1.1554484367370605, 0.27606531977653503, -0.27514585852622986, -0.5261431932449341, -0.9565332531929016, -0.6827602982521057, -0.16482935845851898, 1.0849144458770752, 0.7913163304328918, 0.10315994918346405, -0.3867080807685852, 0.21860672533512115, -0.313654363155365, -0.8525274991989136, -0.7341535687446594, 1.6411734819412231, 0.274447500705719, -1.127327561378479, -0.8569524884223938, -0.5624406337738037, 0.10382583737373352, -1.4031727313995361, 0.2483481466770172, -0.6196008324623108, -0.4205194115638733, 0.3968559801578522, -0.010933518409729004, 0.3330720365047455, 1.8648134469985962, -0.21982692182064056, -0.35576459765434265, -0.2227289080619812, 0.5639678239822388, -0.3317621946334839, -0.44616153836250305, -0.13388457894325256, -0.45174843072891235, -1.185787558555603, -1.2371737957000732, 0.5329195857048035, -0.26779118180274963, -0.41372543573379517, 0.1654430329799652, -0.7420340180397034, -0.041855450719594955, 0.5520212650299072, -0.9366491436958313, 0.0934763178229332, -0.2710263431072235, 0.1376795470714569, -0.36798128485679626, -0.10642898082733154, 0.37637054920196533, 0.8657151460647583, -0.7503354549407959, 0.4907646179199219, -2.648906707763672, 0.9805541038513184, -1.1983370780944824, -0.5326052904129028, 0.8857404589653015, 0.16963940858840942, -0.9069115519523621, -0.17995555698871613, -0.389660120010376, -0.5857374668121338, 0.8981645703315735, 1.1574524641036987, 1.1804078817367554, 0.06563308089971542, 0.15132871270179749, 0.45292386412620544, 0.24075156450271606, -0.6251904368400574, 0.2005193531513214, 1.0985132455825806, -1.1697587966918945, -0.41475024819374084, 0.21740636229515076, -1.5184599161148071, -0.7167494893074036, -0.049740519374608994, -0.9800804257392883, -0.023923374712467194, -1.052199125289917, 0.020130731165409088, -1.4801912307739258, -0.5738265514373779, -0.3678576350212097, 0.6134902238845825, -0.7087211608886719, -0.02559402398765087, 1.2198508977890015, -0.03689974918961525, -0.17360210418701172, 0.6452926993370056, 0.31607064604759216, 0.2601969242095947, 0.14734986424446106, -1.393143653869629, -0.017115622758865356, -0.17864172160625458, -0.5206770300865173, 0.5812738537788391, -0.5707719326019287, 0.20641613006591797, 0.12877438962459564, 0.15080846846103668, 0.8568359613418579, 0.009443377144634724, -0.7031899690628052, 0.46258097887039185, -0.6473995447158813, 0.1451929807662964, -0.8793137669563293, -0.14371825754642487, 1.6166980266571045, 0.3116752803325653, 0.45492804050445557, 0.9157261848449707, -0.8098379373550415, 0.6005491018295288, 0.35112881660461426, -0.9263544082641602, -1.2483993768692017, -0.06866058707237244, 0.3436107635498047 ]
1,097
0704.1099
Bence T\'oth
Bence Toth, Janos Kertesz
The Epps effect revisited
23 pages, 10 figures, 2 tables; added references, added figures and statistical details, extended overview on literature
Quantitative Finance, 9(7), 793 (2009)
10.1080/14697680802595668
null
q-fin.ST physics.data-an physics.soc-ph
null
We analyse the dependence of stock return cross-correlations on the sampling frequency of the data known as the Epps effect: For high resolution data the cross-correlations are significantly smaller than their asymptotic value as observed on daily data. The former description implies that changing trading frequency should alter the characteristic time of the phenomenon. This is not true for the empirical data: The Epps curves do not scale with market activity. The latter result indicates that the time scale of the phenomenon is connected to the reaction time of market participants (this we denote as human time scale), independent of market activity. In this paper we give a new description of the Epps effect through the decomposition of cross-correlations. After testing our method on a model of generated random walk price changes we justify our analytical results by fitting the Epps curves of real world data.
[ { "created": "Mon, 9 Apr 2007 12:31:57 GMT", "version": "v1" }, { "created": "Tue, 1 Apr 2008 11:02:37 GMT", "version": "v2" } ]
2009-10-26
[ [ "Toth", "Bence", "" ], [ "Kertesz", "Janos", "" ] ]
07
[ -1.09952712059021, 0.14616408944129944, 0.02802906185388565, 0.8925496935844421, -0.3572685420513153, -0.05786518380045891, 0.25228166580200195, -0.7754992842674255, 0.9642026424407959, -0.16036035120487213, -0.6788608431816101, 0.45185038447380066, 1.012392282485962, 1.2780505418777466, -0.625011682510376, 0.056801047176122665, 0.831633448600769, 0.8374291062355042, -0.3500995337963104, -1.6497931480407715, -0.1288743019104004, -0.32278501987457275, -0.6942670345306396, 1.85100257396698, -0.3071521818637848, 0.8618857264518738, 0.1948131024837494, 0.8805192112922668, -0.23720499873161316, 0.17982295155525208, -0.2986938953399658, 0.7508013844490051, -0.325679212808609, -0.8171993494033813, -0.9771780967712402, -0.24350863695144653, 0.04049096256494522, 0.7557704448699951, 0.18610721826553345, 0.005598039366304874, 0.2436961829662323, 0.8225017786026001, 0.17875522375106812, 0.34717822074890137, -2.154820442199707, 0.815598726272583, -0.5297614336013794, -0.9255908727645874, 0.3357398211956024, -0.886387825012207, -0.04235544055700302, 0.9082821607589722, 0.6798447966575623, 0.7336586117744446, 0.38510438799858093, 0.03355727344751358, 0.019326740875840187, -0.7197133302688599, 0.8287437558174133, 0.12818047404289246, -0.031091732904314995, 0.009434581734240055, -0.6130993366241455, 0.4454994201660156, 0.041968654841184616, -0.30171501636505127, 0.7144095301628113, 0.861078679561615, 0.5770022869110107, -0.36175060272216797, 0.27257582545280457, -0.22074240446090698, -0.04993324354290962, 0.8708652853965759, -0.43721234798431396, -0.15851743519306183, -0.1165890097618103, 0.19794157147407532, 0.7544161081314087, -0.21499234437942505, 0.8177575469017029, -0.26471424102783203, -0.6388289332389832, -0.21218830347061157, -0.2438347041606903, -0.19394907355308533, -1.4900184869766235, -0.10024207830429077, -1.3032068014144897, -0.6849340796470642, 0.33385106921195984, -1.130616307258606, 0.49817177653312683, -0.12227265536785126, 0.6164387464523315, 0.467142254114151, -0.9671396017074585, -0.2561400234699249, 1.007210612297058, -0.3539510667324066, -0.6160669326782227, 0.6565496325492859, 0.04592923820018768, -0.8013174533843994, 0.5004388093948364, -0.31256768107414246, 0.1359800547361374, -0.4433961510658264, -0.6925116181373596, -0.08672255277633667, -0.06737684458494186, 0.1598326712846756, -0.4003843069076538, -0.007644462399184704, 0.15037959814071655, 0.4812576174736023, -0.26599860191345215, -0.24342843890190125, -1.3688920736312866, 0.9674190282821655, -0.2946121394634247, -0.2624252140522003, 0.03186997398734093, 1.5948795080184937, 0.4291033148765564, -0.9309713840484619, 0.1858057826757431, -0.4923129379749298, -0.9340882897377014, -1.3788546323776245, -1.5255153179168701, -0.06667077541351318, -0.5116126537322998, 0.5618531703948975, 0.28379717469215393, -1.2344489097595215, 0.5331719517707825, -0.2922675609588623, 1.0849941968917847, 0.16453571617603302, -0.6746771335601807, -0.424367219209671, 0.41497310996055603, -1.0284830331802368, -0.37646791338920593, -0.004933157470077276, -1.2020065784454346, 0.87296462059021, -0.2116665244102478, -0.7248659133911133, 0.08460446447134018, -0.08119388669729233, -0.045553240925073624, 0.6508954763412476, 1.0665760040283203, -0.06558109819889069, 0.002949562855064869, -0.059309881180524826, 0.25430116057395935, -0.18703332543373108, 0.319311261177063, 0.41449710726737976, 0.28002578020095825, 0.38469672203063965, -0.678392767906189, -0.6878392696380615, -1.1826472282409668, -0.6973194479942322, 0.5704461336135864, 0.29870209097862244, 1.0342401266098022, -0.8305570483207703, -1.018309235572815, 0.4609566926956177, -1.1207433938980103, -1.029067873954773, 1.7829537391662598, -0.4948694705963135, -0.5873767733573914, 0.8314405679702759, 1.0293971300125122, -0.7535815238952637, -0.44100242853164673, -0.04330248385667801, -0.13055464625358582, 0.037216994911432266, 0.9312540888786316, 0.49060001969337463, -0.6644598841667175, -0.6105217933654785, -0.4839823246002197, -0.32800137996673584, -0.7162055373191833, 0.0950004905462265, -0.31089767813682556, 0.30486446619033813, 0.41497960686683655, -0.15218289196491241, -0.43393009901046753, 0.07515443116426468, 0.22801947593688965, -1.1009583473205566, 0.2932610511779785, 0.565683901309967, -0.3246545195579529, -0.20257678627967834, -0.281562477350235, 0.6274353265762329, 0.3714021146297455, 0.8196974992752075, 0.4921872913837433, 0.0373859703540802, -0.7119642496109009, 0.11614470928907394, 0.5869736671447754, 0.42219507694244385, 1.9745219945907593, -1.0751146078109741, -0.6008634567260742, -0.5324504971504211, 0.3209148943424225, -0.04428543522953987, -1.5838274955749512, -0.6998019814491272, 1.0714404582977295, 0.08642777800559998, -1.289297342300415, -0.17672711610794067, 0.5591621994972229, 0.07723837345838547, -0.7710004448890686, 0.15428350865840912, -0.16558952629566193, -0.10523006319999695, 0.08723273873329163, -0.5935071110725403, -1.210676670074463, -0.34072813391685486, 0.7228778004646301, -0.08886704593896866, -0.5375652313232422, 0.11853771656751633, 0.6142550110816956, -0.15911635756492615, -0.2793407738208771, -0.0621204674243927, 0.3296661674976349, -0.5187795162200928, 0.8813248872756958, -0.1291045844554901, 0.7999237179756165, 0.3295980989933014, 0.05206656828522682, 1.1989901065826416, 1.5015565156936646, -0.23059983551502228, 1.2342381477355957, -0.29552119970321655, 1.2150415182113647, -0.012584900483489037, -1.018113613128662, -0.24245266616344452, 1.049932837486267, -0.06311959028244019, -1.4577287435531616, 0.49196311831474304, -0.5860427618026733, 0.0060616545379161835, 0.13887104392051697, -0.3632790446281433, -0.23504988849163055, -0.22105303406715393, 0.3775573968887329, 0.5735791921615601, -0.9337590932846069, 0.22042147815227509, -0.3121070861816406, 1.149593710899353, 0.19996310770511627, -0.3320585787296295, -0.42981547117233276, -1.101507306098938, -0.2901816964149475, 0.12440066039562225, 0.12815596163272858, 0.2947515547275543, 0.4935764968395233, 0.9478193521499634, -0.024164296686649323, 0.4015193581581116, -0.7606284618377686, 0.04359986260533333, -0.8584827184677124, -0.07050218433141708, 0.6098804473876953, -1.6257723569869995, 0.5546025633811951, -1.0429900884628296, -1.2119790315628052, -0.9921021461486816, 0.6895768642425537, -0.1168571189045906, -0.21181918680667877, -0.7577770352363586, 0.40302228927612305, -0.986965537071228, -0.858762800693512, -0.0873650535941124, 0.06179660186171532, 0.3765229284763336, -0.761089563369751, -0.11941737681627274, -0.9339108467102051, 0.4464142918586731, -1.130916714668274, 0.21496517956256866, 0.15165230631828308, 1.1863282918930054, 0.4255167245864868, -0.496612548828125, -0.06328381597995758, 1.371922254562378, 1.6547538042068481, 0.6786198616027832, 0.0015785092255100608, -1.234588861465454, -0.5041036605834961, -0.22014394402503967, 1.286988377571106, 0.3166632652282715, 1.211419939994812, 0.6507886052131653, -1.2542697191238403, 0.3028668165206909, 0.009065699763596058, 0.1209394559264183, -0.3205265998840332, -0.6582538485527039, 0.3139311671257019, -0.8387658596038818, 0.621475100517273, -0.28923216462135315, 0.451278954744339, -0.4346388280391693, -0.05518826097249985, 0.76474529504776, -0.2298625260591507, 0.7811036109924316, -0.6102761030197144, -1.7749531269073486, 1.2489911317825317, 0.40368205308914185, -0.43435272574424744, -0.40186789631843567, -0.4153732359409332, -0.49324142932891846, 0.551304280757904, -0.4293519854545593, 0.5005090236663818, -0.2918870449066162, 0.7084077000617981, -0.5688751339912415, 0.7045392394065857, 1.0390390157699585, -0.0211214367300272, -0.3983926773071289, -1.0582818984985352, 1.8178244829177856, 0.11159782111644745, -0.23746737837791443, -0.2570760250091553, 1.1221410036087036, -0.1536860316991806, -0.9532908201217651, 0.49417269229888916, 0.6846569180488586, -1.2628635168075562, 0.2689482271671295, 0.7013959884643555, -0.46639055013656616, 0.30497029423713684, 1.1364734172821045, 1.0955623388290405, -0.9967972636222839, -0.27504023909568787, -0.568659782409668, 0.0871860682964325, 0.29586663842201233, -1.320475697517395, -0.6255800724029541, -0.5047070980072021, 0.0858190730214119, 0.3710440993309021, -0.21064694225788116, 1.0177077054977417, -0.7053996324539185, -0.8732373118400574, -0.5751417279243469, 1.0891362428665161, -0.7077305912971497, -0.4298064112663269, -0.3645770847797394, -0.5667404532432556, 1.142993688583374, -0.00398265291005373, -1.583297848701477, -0.301085501909256, 0.18386858701705933, -0.6069674491882324, -0.36759811639785767, 0.8324830532073975, -0.8559342622756958, -0.1085030660033226, 0.056874893605709076, -0.8931396007537842, -0.2238399088382721, 0.031033288687467575, 0.37364527583122253, -0.5415219664573669, -0.4471853971481323, -0.9995062947273254, -0.37465283274650574, -0.30750003457069397, 0.2630780339241028, -0.020279506221413612, -0.19566747546195984, 0.04201981797814369, -0.9760304093360901, -0.3611364960670471, 0.3407438397407532, 0.33707478642463684, -1.1260846853256226, -0.2709493339061737, -0.02158566378057003, 0.040743786841630936, -0.23709575831890106, 0.06762436777353287, 0.4048943519592285, -0.1645118147134781, -0.4578920304775238, -1.4048378467559814, -0.6512225270271301, 1.42460036277771, -0.6372655034065247, 0.5979394912719727, 0.39604270458221436, -0.1572016328573227, 1.926218032836914, 0.08696135878562927, -0.7977283000946045, -0.335183322429657, 1.6816805601119995, -1.3891960382461548, 0.8220300078392029, 0.4181981086730957, 0.1071368157863617, -0.42846935987472534, 0.22970084846019745, 0.19937099516391754, -0.6716964244842529, 0.8076996207237244, -0.9352656006813049, -0.7998683452606201, 0.5488901138305664, -0.6263140439987183, 0.2976280450820923, -0.05017203092575073, -0.32580891251564026, -1.4643700122833252, -0.47915583848953247, 0.6227091550827026, 1.044185757637024, 0.14477328956127167, -0.25877124071121216, -0.4416501522064209, 0.6886485815048218, -1.0211163759231567, 1.8655534982681274, -0.9126943349838257, -0.8522981405258179, 0.5098117589950562, 0.8954434394836426, 1.2440506219863892, -0.8697097301483154, 0.2898850739002228, -1.5552232265472412, -0.8178741335868835, -0.2830606698989868, 0.8773046731948853, 0.0999068021774292, -0.12342114001512527, -0.7456654906272888, 0.2896997928619385, -0.05816812068223953, 0.425275057554245, 0.4352050721645355, -0.3618007004261017, -1.1552917957305908, 0.574962317943573, -0.7668089270591736, 0.38203051686286926, -1.5559886693954468, -0.7661945223808289, -0.13636678457260132, 0.4835119843482971, -0.0778227373957634, 0.33176344633102417, -0.16953395307064056, -0.037542395293712616, -0.10923746973276138, 0.18152184784412384, 0.31398552656173706, -0.018425093963742256, 0.9991390705108643, -0.26107245683670044, -0.3093983829021454, -0.16423945128917694, -2.9637222290039062, -0.9057052731513977, -1.8616130352020264, -0.5054945945739746, -0.6908907294273376, 0.563066303730011, -0.759396493434906, -0.18467585742473602, -0.32948657870292664, -0.39568501710891724, -0.2011885941028595, 0.033871471881866455, -0.6184536218643188, -0.49986422061920166, -0.33502820134162903, 0.887061357498169, 1.0681638717651367, -1.8456809520721436, -0.06602233648300171, -0.40940213203430176, -0.7028142213821411, 0.022052962332963943, 0.5778605937957764, -0.4579907953739166, 0.058593470603227615, 0.635515034198761, -0.6579467058181763, -0.28393301367759705, -0.12696613371372223, -0.11514315009117126, -0.9342492818832397, -0.26096707582473755, -0.3578660190105438, -0.42336195707321167, -1.3526415824890137, -0.7384390830993652, 0.9871318936347961, -0.3211914002895355, -0.9885081648826599, -8.272361755371094, 0.6134898066520691, -0.6680608987808228, -0.7474855184555054, 0.2744475305080414, 0.07412654906511307, 0.9166256189346313, -0.017594415694475174, -1.8191840648651123, 0.44652435183525085, -1.1091346740722656, 0.12999112904071808, -0.48862919211387634, -0.4183237552642822, -0.29651787877082825, 0.032990869134664536, 1.0318628549575806, 0.2923620045185089, -0.8941569328308105, 0.4116159975528717, 0.9375826120376587, -0.39326679706573486, 0.8869737386703491, -0.9384616613388062, -1.2231557369232178, -1.4349113702774048, -0.5277431011199951, -0.022771894931793213, 0.15950748324394226, 0.23372389376163483, 0.44745558500289917, 0.2515459358692169, 0.5797758102416992, -0.5199492573738098, -1.1291252374649048, -0.7199986577033997, 0.7686060070991516, -1.003784418106079, 1.644447922706604, -0.7936510443687439, 1.3863731622695923, -0.15865550935268402, -0.6923761963844299, -0.574928343296051, 0.07947279512882233, 0.34835463762283325, 0.6145122647285461, -0.8840259909629822, -0.4892807900905609, -1.7252089977264404, 0.2134036272764206, -0.2684369385242462, 0.9211830496788025, 0.5867018103599548, 0.7410866022109985, 1.1858068704605103, 0.067050501704216, -0.13032272458076477, 0.5584964752197266, -1.0847344398498535, -0.5489802360534668, 0.7578819990158081, -0.5859656929969788, -0.5813831686973572, 0.5578669905662537, 0.15283674001693726, -0.46970999240875244, 0.9809716939926147, 0.18021702766418457, 1.1882131099700928, 0.5188654065132141, 0.12569570541381836, 0.8720296621322632, 0.34037768840789795, 0.6620869040489197, -0.4821864664554596, -0.9580883979797363, 0.2426060140132904, 0.3812595009803772, -1.7758785486221313, 0.3358583450317383, 0.10361768305301666, -0.49037057161331177, -0.06216069683432579, -0.13096508383750916, 0.6704021096229553, -0.31014618277549744, -0.5332314968109131, -0.3851360082626343, -0.4790434241294861, 0.30761417746543884, -0.3077719807624817, -0.8611440658569336, -0.1791391670703888, -0.6658926606178284, 0.013925123028457165, 0.6934243440628052, 0.6491600871086121, 0.42576801776885986, -0.24597254395484924, -0.36133721470832825, -0.3179222047328949, 0.06763845682144165, 0.21767792105674744, 1.6882681846618652, 0.5805529952049255, 0.4305213987827301, 0.4280203580856323, 1.4171488285064697, -0.980617344379425, 1.6547051668167114, 0.78171306848526, -0.6644136309623718, -0.37942975759506226, -0.01979801058769226, 0.17200544476509094, 0.2659279704093933, 0.41650858521461487, -0.971210241317749, 0.05516703054308891, 0.49598315358161926, -0.9415400624275208, -1.1366002559661865, 0.5302784442901611, 0.8280087113380432, -0.004966419655829668, 0.24359197914600372, -0.10523542016744614, 0.7382282614707947, -0.5382739901542664, -0.8009485006332397, -0.07069791108369827, 0.14726872742176056, -0.9649180769920349, 0.35081544518470764, -0.7336618304252625, 0.15246988832950592, -0.6859058141708374, -0.7122066020965576, 1.2667049169540405, 0.7444981336593628, 1.581946849822998, -0.46781590580940247, 0.8189083337783813, -0.5218716859817505, -0.15526308119297028, 0.7614002823829651, -0.03221038728952408, -0.6438462734222412, -0.8670480251312256, -0.2567806541919708, 0.054438266903162, -0.20241396129131317, 0.32358402013778687, 0.6875816583633423, 0.9212883114814758, -1.419353723526001, 1.1386233568191528, -0.29404744505882263, -0.3755223751068115, 0.6579635739326477, 0.05606315657496452, -0.48760998249053955, -0.3528606593608856, -0.6377594470977783, -1.0431067943572998, -0.6614906191825867, 0.3789951205253601, 0.16832610964775085, 0.7803716063499451, 0.5024086236953735, 0.4998534321784973, 0.5129305124282837, 0.49622827768325806, 0.058928269892930984, -0.4616279900074005, 2.1300270557403564, 0.049873173236846924, -0.608435332775116, 0.797957181930542, -0.35708335041999817, 0.41380202770233154, 0.3142383098602295, 0.8556801676750183, 0.5850317478179932, 0.059309352189302444, -0.7225441932678223, 0.9299864768981934, 1.5908403396606445, -1.967541217803955, -0.5705057382583618, 0.4321145713329315, 0.6971818804740906, -0.6137364506721497, 0.4753844141960144, -0.7115620970726013, -0.07795704901218414, -0.40710097551345825, 0.790225088596344, 0.3048841655254364, 0.6387743949890137, 1.1226836442947388, 0.8111696243286133, 0.3135804235935211, 0.04662102460861206, -0.21102194488048553, 0.7398576736450195, -0.4829685389995575, 0.25592413544654846, 0.22761929035186768, 0.46178409457206726, 0.09049997478723526 ]
1,098
0704.1100
Ian Goulden
I. P. Goulden and D. M. Jackson
Transitive powers of Young-Jucys-Murphy elements are central
9 pages
null
null
null
math.CO math.AG
null
Although powers of the Young-Jucys-Murphya elements X_i = (1 i) + ... +(i-1 i), i = 1, ..., n, in the symmetric group S_n acting on {1, ...,n} do not lie in the centre of the group algebra of S_n, we show that transitive powers, namely the sum of the contributions from elements that act transitively on {1, >...,n}, are central. We determine the coefficients, which we call star factorization numbers, that occur in the resolution of transitive powers with respect to the class basis of the centre of S_n, and show that they have a polynomiality property. These centrality and polynomiality properties have seemingly unrelated consequences. First, they answer a question raised by Pak about reduced decompositions; second, they explain and extend the beautiful symmetry result discovered by Irving and Rattan; and thirdly, we relate the polynomiality to an existing polynomiality result for a class of double Hurwitz numbers associated with branched covers of the sphere, which therefore suggests that there may be an ELSV-type formula associated with the star factorization numbers.
[ { "created": "Mon, 9 Apr 2007 12:37:44 GMT", "version": "v1" } ]
2007-05-23
[ [ "Goulden", "I. P.", "" ], [ "Jackson", "D. M.", "" ] ]
07
[ -0.0418972447514534, -0.273557186126709, 0.1060025617480278, 0.37958282232284546, 0.6167563796043396, -0.3756364583969116, -0.9852555394172668, 0.5873950719833374, -1.9462343454360962, -0.8143755793571472, 0.23917631804943085, -0.7728738784790039, -0.21920467913150787, -0.13062818348407745, 0.1427081972360611, 0.8092735409736633, 0.1539659947156906, -0.06650486588478088, -0.7187079191207886, -1.9442920684814453, -0.49405786395072937, -0.5782461166381836, 0.3281265199184418, -1.0703545808792114, -0.611926257610321, 1.0288846492767334, 0.5581014156341553, -0.1401681900024414, -1.4619780778884888, -0.40958264470100403, 1.1898906230926514, -0.567050576210022, -0.4062248468399048, -0.7490417957305908, -0.2962222695350647, -0.8595491647720337, -0.8932952880859375, -0.9609682559967041, -0.18411171436309814, -0.11347930133342743, 1.0972986221313477, -1.4999710321426392, -0.9324449896812439, 0.14332686364650726, -0.3690599799156189, -0.7685988545417786, 0.8372032046318054, -0.37623488903045654, 1.179090976715088, 0.43679526448249817, 0.03409475460648537, -0.757169783115387, -0.04324067384004593, -0.3060193955898285, 1.1751517057418823, 0.10571642965078354, -0.5135307908058167, -0.6506669521331787, 1.025237798690796, 0.25205880403518677, 0.13313834369182587, -0.3502534031867981, -0.08109913766384125, 0.37603050470352173, -0.3525933623313904, 0.867790937423706, 0.36308178305625916, 0.6680985689163208, 1.260351538658142, 0.31156250834465027, -0.004226092714816332, -0.31477493047714233, -0.7170641422271729, -1.1203304529190063, 0.39279940724372864, 1.4503848552703857, 0.7657129764556885, 1.478002905845642, 1.4148850440979004, -0.06284408271312714, -0.7127766013145447, 0.1276036649942398, -0.7017760872840881, -0.3536916673183441, -0.4377264678478241, 0.4202245771884918, 0.28079989552497864, 1.3369237184524536, -1.3244138956069946, 0.5843377113342285, 0.4253814220428467, 0.16312669217586517, 0.6211254000663757, 0.13021571934223175, -1.3672454357147217, -0.6416918039321899, -2.1503822803497314, 0.06310004740953445, -0.7041041851043701, 0.8756203055381775, 0.212175190448761, 0.44605082273483276, 0.8095560073852539, 0.9762256145477295, -0.7698009014129639, -0.028790738433599472, 0.6209295392036438, -0.6610896587371826, 0.5982551574707031, -0.015316128730773926, 0.6646594405174255, -2.7723305225372314, -0.4598431885242462, 0.39422255754470825, -0.8214544057846069, 0.06393111497163773, -0.2046642154455185, 0.20373323559761047, 0.40416309237480164, -0.9797820448875427, -0.13231638073921204, 0.5241702795028687, 0.8063535094261169, -0.7203574180603027, -0.3569609224796295, 0.15318234264850616, -0.003944811411201954, -0.25987905263900757, 0.2579341530799866, 1.7263413667678833, -0.2071932852268219, 0.5618435144424438, 0.012972746044397354, 0.43174493312835693, -1.4730185270309448, 0.6999568343162537, -0.9013057351112366, -0.10094138979911804, -0.45071637630462646, 0.05964478477835655, -0.8372206091880798, 0.30199164152145386, -0.4724824130535126, 0.4711368680000305, 0.5385945439338684, -1.8325958251953125, 0.15662992000579834, 0.8835563659667969, 0.8313952684402466, 0.12935805320739746, -0.10391685366630554, -0.6321930885314941, 0.2648918926715851, 1.3706705570220947, -0.23679277300834656, 0.2526053786277771, 0.38666555285453796, 0.9500817060470581, 0.2633014917373657, 1.4283939599990845, -1.0588111877441406, -0.6099921464920044, -1.2754185199737549, 0.8448536992073059, -0.45918095111846924, -1.072135329246521, -0.6217193007469177, -0.4578152596950531, -0.6763240098953247, -0.0524262934923172, -0.36574041843414307, -0.3691554665565491, 0.7888926863670349, 0.7352210879325867, 0.38801637291908264, 0.19192254543304443, -0.6086472272872925, -0.1794320046901703, -0.08383352309465408, 0.8124831914901733, -0.2595153748989105, 0.2977488338947296, 0.2508528530597687, -0.5505818128585815, 0.5486694574356079, -0.11789111793041229, 0.39184489846229553, -1.1375612020492554, 0.36079269647598267, 0.3296644389629364, -2.174180269241333, 0.17756374180316925, -1.8468135595321655, -0.4246920347213745, 0.2728392481803894, -0.2842325270175934, 0.19944675266742706, 0.2328483611345291, 0.5266544222831726, -0.037259165197610855, -0.5172921419143677, 0.11799263209104538, -1.3247867822647095, 1.4811108112335205, -1.1273267269134521, 0.5905961990356445, 0.7909385561943054, 0.27041757106781006, 1.237526297569275, 0.6448408961296082, 0.7916111350059509, 1.1202343702316284, 0.3357090353965759, 1.0432292222976685, 1.0174870491027832, 0.6250953078269958, -2.2075421810150146, -0.34904927015304565, -0.16051435470581055, 0.3524325489997864, -0.2438792586326599, 0.6802083253860474, -0.4573184549808502, -0.5505077242851257, -0.6001749038696289, -1.434198260307312, 0.6002517342567444, -0.7181891202926636, -0.3776216208934784, -0.6076472997665405, 0.46373194456100464, -0.0665273368358612, -0.2349000871181488, -0.7360586524009705, 0.9897777438163757, 0.9740515351295471, -0.18685056269168854, -1.2412925958633423, 0.2804136872291565, 0.6398360133171082, -0.6031213998794556, 0.01952560618519783, -0.41666582226753235, -1.4375290870666504, -1.0071702003479004, 0.7148046493530273, 0.1851871907711029, -0.186724454164505, 0.21795029938220978, 1.2881337404251099, -0.7938024401664734, -0.4263665974140167, -1.2921497821807861, 0.9830923676490784, -0.3622542917728424, 1.0900611877441406, -0.10783237218856812, -1.9106659889221191, -1.6739784479141235, -0.07162992656230927, -1.1765130758285522, -0.2987075448036194, -0.5714739561080933, 2.336826801300049, 0.6969922184944153, -1.5056687593460083, 0.2880539298057556, -0.22680693864822388, 1.5914322137832642, -0.35703665018081665, 0.9337589144706726, 1.562043309211731, 0.8350422978401184, 0.38816913962364197, -0.4068942070007324, 0.27427226305007935, -0.5708303451538086, -0.5080212950706482, 0.7056459784507751, -1.4800359010696411, -0.13637873530387878, -0.005574156995862722, -0.47420862317085266, 0.3482459485530853, -0.9774229526519775, -0.1334315985441208, -0.3954361379146576, -0.041118428111076355, 1.168943166732788, -0.4008767604827881, 0.3025331199169159, -0.4543977379798889, -0.31062617897987366, -0.7773531079292297, 0.10350879281759262, -0.524642288684845, 0.5116814970970154, -1.037896990776062, 0.9473972320556641, 0.139332577586174, -1.733533501625061, 0.6423322558403015, -0.06381388008594513, 0.4807173013687134, 0.9993192553520203, -0.05495338886976242, 0.5305138230323792, -0.495368093252182, 0.49825048446655273, 0.3554857671260834, -0.12181567400693893, 0.7478883266448975, 0.2750462591648102, -0.8109033703804016, 0.6615725755691528, 0.9375885128974915, 0.45790284872055054, -0.5342162847518921, 0.5969239473342896, -1.313130259513855, -0.8792473673820496, 0.2668149173259735, 0.7239222526550293, 1.0328084230422974, 0.9928760528564453, -1.1464024782180786, -0.8007932901382446, 0.2709762454032898, 1.0048458576202393, -0.7472095489501953, 0.5563585758209229, 0.5693308115005493, -0.5770752429962158, 0.6132924556732178, 0.5903887152671814, 0.23632623255252838, 0.20132535696029663, 0.13430148363113403, 0.07593753933906555, -1.208903193473816, -0.2877332270145416, -0.025706009939312935, 0.6028522253036499, -0.35597893595695496, -0.8886328339576721, -0.24198053777217865, -0.47301945090293884, -0.19439421594142914, -0.8275351524353027, -0.24092337489128113, -0.08016083389520645, -0.5460296869277954, 0.29444220662117004, 0.006259975489228964, 0.8818038105964661, -0.14825133979320526, 0.506647527217865, -0.1372462958097458, 0.026763437315821648, -0.07393760234117508, -0.9560475945472717, 0.49571600556373596, -1.1613496541976929, 0.7054407596588135, 0.46920549869537354, 0.8852823972702026, -0.15799668431282043, 0.3313058018684387, 0.4832507371902466, -0.33328738808631897, -0.6094521284103394, -0.19622428715229034, -0.9301573634147644, 0.6294448375701904, -0.2585930824279785, 0.039841555058956146, -0.2043548822402954, 0.3661479651927948, 0.05394459143280983, -0.15756253898143768, -0.3997957706451416, 0.11987706273794174, 0.6030389070510864, -0.4239870011806488, 0.4045752286911011, 0.5397157073020935, 0.08568676561117172, -0.7137929201126099, -0.6972858309745789, 0.33539947867393494, 0.8484932780265808, -0.6431675553321838, -0.34039390087127686, -0.5078641772270203, 0.16533726453781128, 0.848516047000885, -0.14403846859931946, -0.6137056350708008, 0.1900273859500885, 0.19739367067813873, 0.3696075677871704, 0.10007106512784958, -0.8926963210105896, -0.4851400554180145, -0.6329275965690613, 0.25730493664741516, -0.63526850938797, 0.3789565861225128, 0.4329281449317932, -0.21706964075565338, 0.6303853988647461, 0.16438812017440796, -1.5610926151275635, 1.2513375282287598, -0.8730056881904602, 0.2892087996006012, -0.4774085283279419, -1.4197773933410645, 0.9564084410667419, -0.919701099395752, -0.23754261434078217, 0.09889642149209976, -0.47242215275764465, 1.5759778022766113, -0.7071347236633301, -0.680306077003479, -0.3810979425907135, 0.4941577911376953, -0.1607833206653595, -0.9892940521240234, 1.4692422151565552, -0.39472687244415283, -0.7127903699874878, -0.3661006689071655, 0.5890703797340393, -0.1508595496416092, -0.1904839128255844, 0.7679926156997681, -0.7458173036575317, 0.02579473704099655, -0.1320045441389084, 1.6051604747772217, 0.2979618310928345, -0.04678283631801605, 0.22446590662002563, -0.3384382426738739, -0.4040715992450714, 1.2231032848358154, -0.4231148064136505, 0.7590502500534058, 0.4261142611503601, -0.2654533088207245, 0.203630730509758, 0.23511791229248047, 0.14634713530540466, -1.0702236890792847, 0.7596668601036072, 0.1604474037885666, -0.651840329170227, -0.6417820453643799, -0.3540961444377899, -0.15979747474193573, 0.5183194279670715, -1.017799973487854, 1.1473649740219116, 0.3055972456932068, 0.8099960088729858, -0.267261266708374, 0.057287946343421936, 0.27597030997276306, 1.2015153169631958, 0.739453136920929, -1.2715730667114258, -0.3312894105911255, -0.7703798413276672, 0.1043333038687706, 0.8906770944595337, 1.2483757734298706, 1.6795017719268799, 0.740401029586792, 1.5289299488067627, 0.2660122215747833, -0.47595739364624023, 1.5122288465499878, 0.24844659864902496, 1.5183303356170654, -0.059420596808195114, -0.09758536517620087, -0.39513346552848816, -0.7354722619056702, -0.9066368937492371, 1.0128952264785767, 0.009688426740467548, -1.3749282360076904, -1.4502888917922974, 0.6216127276420593, -0.6387744545936584, -0.7355741858482361, -0.25600504875183105, -0.28875210881233215, -0.16808439791202545, 0.43931499123573303, -1.0304795503616333, -0.9516409635543823, -1.1952481269836426, 0.2185567170381546, -0.0787622407078743, 0.167039692401886, -0.785882294178009, -0.14528560638427734, -0.5169480443000793, 0.17936581373214722, -0.8538444638252258, -0.9241126179695129, -0.38241446018218994, -1.4369330406188965, 0.5690323114395142, -2.772942304611206, 0.6118748784065247, -1.0556824207305908, 0.42271605134010315, -0.27352380752563477, 0.1493750810623169, 0.33158135414123535, -0.04376679286360741, -0.20377427339553833, -0.13225246965885162, -0.20256578922271729, -1.209557294845581, -0.01872609741985798, -0.5093920230865479, -0.19283665716648102, -1.6236881017684937, -0.5890902876853943, -0.6964572668075562, 0.36978426575660706, 0.11299613863229752, 2.0791289806365967, -0.684377908706665, 1.0243682861328125, 0.8819491863250732, -0.43005460500717163, 0.5661426782608032, -0.43480736017227173, 0.6277378797531128, 0.08462496101856232, 0.7129302024841309, -0.16813571751117706, -0.5427578687667847, -0.564407467842102, -1.5653544664382935, -0.005779466591775417, 1.2755634784698486, 0.27128276228904724, 0.0839294046163559, -0.3981702923774719, -7.419374465942383, -0.012063062749803066, -0.040114764124155045, 1.1852161884307861, 0.49799469113349915, 0.1881764978170395, -0.05682104453444481, -0.6353318691253662, -0.5083878040313721, -0.42038384079933167, -0.6476306915283203, 0.10850543528795242, -0.42072513699531555, -0.2475215643644333, -1.179701328277588, -0.05491606891155243, 0.10730891674757004, 0.08901214599609375, -0.6370131969451904, 0.43562036752700806, 0.030234798789024353, 0.6977537870407104, -0.5163302421569824, 0.43299147486686707, 1.873625636100769, -0.09670773148536682, -0.17984938621520996, -1.2917746305465698, 1.789691686630249, 0.574533998966217, -1.067502498626709, -1.5990043878555298, 0.33695119619369507, 0.05500735715031624, -0.18206529319286346, -0.51569664478302, 1.7596598863601685, -0.3812583386898041, -1.6297237873077393, 0.46899574995040894, 0.3529666066169739, 0.7882595062255859, 0.3993384838104248, -0.6872157454490662, 0.22767220437526703, -0.25300875306129456, 0.3359403610229492, 0.8651869297027588, -0.6477097868919373, 0.25787264108657837, -0.06961632519960403, -0.04689193144440651, 0.7968084216117859, 0.9590227603912354, 0.1492989957332611, 0.8919796943664551, 0.26317161321640015, -0.47674110531806946, -0.37377193570137024, -0.029102981090545654, -0.4586872458457947, 0.2874657213687897, 1.4436651468276978, 0.7493685483932495, -1.6857017278671265, -0.46842578053474426, 0.20178505778312683, -0.26169100403785706, 0.02023245580494404, 0.06152763590216637, -0.057400885969400406, 1.2292964458465576, -1.2470029592514038, 0.37624192237854004, 0.000695597380399704, -0.12331902235746384, 0.07716243714094162, -0.13628746569156647, -1.5148911476135254, 0.7563658952713013, 0.6211332082748413, -1.2399754524230957, -0.553545355796814, 1.529758095741272, -0.1846330314874649, -0.5917053818702698, 0.12563344836235046, -0.36357563734054565, -0.35537654161453247, -0.30459439754486084, -0.7079933285713196, 0.011563642881810665, -0.11037955433130264, -0.2737676203250885, 0.07526018470525742, -0.3162460923194885, 1.2640109062194824, -0.125260591506958, -0.6903056502342224, 0.5693442821502686, 0.2080465704202652, -0.17148557305335999, 0.721596896648407, 0.6713559627532959, -0.06710461527109146, -0.03153470531105995, -0.7873311638832092, 0.3821493685245514, -0.3346240818500519, 1.1335482597351074, 0.010369849391281605, 0.5230956673622131, 0.7907010316848755, -0.78968745470047, 0.09706910699605942, 0.18487024307250977, -1.208057165145874, 0.4203616976737976, -0.09770739078521729, -0.059776969254016876, 0.4267503619194031, -0.14673174917697906, -0.5547113418579102, 0.06616511195898056, -0.054881006479263306, 0.17969350516796112, -0.7317925095558167, 1.0980504751205444, -0.9951364994049072, -0.7413455247879028, -0.293414831161499, 0.15828382968902588, -1.03865385055542, -1.0675747394561768, -0.2084335833787918, -0.2799568474292755, -0.08648192137479782, 0.4916694164276123, 0.850788414478302, 0.15189975500106812, -0.1840195506811142, -1.6077162027359009, 0.4433436095714569, 0.24191400408744812, -0.16950328648090363, -0.08649902790784836, -0.8414158821105957, 0.38057029247283936, -0.1380251944065094, 0.023221276700496674, 0.90505051612854, 1.1015878915786743, 0.781424880027771, -0.3105979859828949, -0.7805485129356384, -0.25240740180015564, 0.8568657040596008, -0.5139036774635315, -1.6092219352722168, 0.3313731551170349, 0.4198131561279297, -0.42852067947387695, 0.9529889822006226, 0.5702505707740784, -0.47746214270591736, -0.08061545342206955, -0.04381905496120453, 0.40830519795417786, -0.46503472328186035, 0.31997182965278625, -0.08882644027471542, -0.3418966829776764, -0.39504900574684143, -0.06093501299619675, -0.11114826053380966, 0.16429078578948975, -1.2535970211029053, 0.5014899373054504, -0.39437806606292725, 0.13153526186943054, 0.7996838092803955, -0.4419681131839752, 0.4218789041042328, -0.0771094411611557, 0.173478364944458, 1.2525097131729126, -1.1278496980667114, -0.09128320962190628, 0.5824704766273499, 1.082434058189392, 0.012584072537720203, -0.7097423672676086, 0.08399197459220886, -1.4043382406234741, -0.3653637170791626, -0.1906639188528061, 1.0199638605117798, -0.5844585299491882, 0.5605554580688477, -2.059218406677246, -0.17944805324077606, -0.03638496249914169, 0.4749875068664551, 0.22512300312519073, 0.379717618227005, -0.4913705587387085, -0.2501705288887024, 0.030322877690196037, -0.4015275239944458, -0.1178293526172638, 0.14131681621074677, -0.1045752763748169 ]
1,099