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] | {"Title": "Boundary-reducing surgeries and bridge number", "Authors": "Kenneth L. Baker, R. Sean Bowman, John Luecke", "Abstract": " Let $M$ be a $3$--dimensional handlebody of genus $g$. This paper gives\nexamples of hyperbolic knots in $M$ with arbitrarily large genus $g$ bridge\nnumber which admit Dehn surgeries which are boundary-reducible manifolds.\n", "URL": "https://arxiv.org/abs/1512.09336"} |
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] | {"Title": "Explicit determination of certain periodic motions of a generalized\n two-field gyrostat", "Authors": "Pavel Ryabov, Sergei Sokolov, Irina Kharlamova", "Abstract": " The case of motion of a generalized two-field gyrostat found by V.V.Sokolov\nand A.V.Tsiganov is known as a Liouville integrable Hamiltonian system with\nthree degrees of freedom. We find a set of points at which the momentum map has\nrank 1. This set consists of special periodic motions which correspond to the\nsingular points of a bifurcation diagram on an iso-energetic surface. For such\nmotions the phase variables can be expressed in terms of algebraic functions of\na single auxiliary variable. These algebraic functions satisfy a differential\nequation integrable in elliptic functions of time. It is shown that the\ncorresponding points in the three-dimensional space of the constants of the\nintegrals belong to the intersection of two sheets of the discriminant surface\nof the Lax curve.\n", "URL": "https://arxiv.org/abs/1512.09337"} |
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] | {"Title": "Semiartinian profinite algebras have nilpotent Jacobson radical", "Authors": "Miodrag C. Iovanov", "Abstract": " We give a method to study the finiteness of the coradical filtration of a\ncoalgebra; as a consequence, we show that a left semiartinian profinite algebra\nhas nilpotent Jacobson radical and is right semiartinian too. Equivalently, we\nshow that a for a semilocal profinite algebra, T-nilpotence implies nilpotence\nfor the Jacobson radical. This answers two open questions from \\cite{INT}.\n", "URL": "https://arxiv.org/abs/1512.09338"} |
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] | {"Title": "Frobenius Structural Matrix Algebras", "Authors": "Sorin Dascalescu, Miodrag C. Iovanov, Sorina Predut", "Abstract": " We discuss when the incidence coalgebra of a locally finite preordered set is\nright co-Frobenius. As a consequence, we obtain that a structural matrix\nalgebra over a field $k$ is Frobenius if and only if it consists, up to a\npermutation of rows and columns, of diagonal blocks which are full matrix\nalgebras over $k$.\n", "URL": "https://arxiv.org/abs/1512.09339"} |
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] | {"Title": "Strict Doubly Ergodic Infinite Transformations", "Authors": "Isaac Loh, Cesar E. Silva", "Abstract": " We give examples of rank-one transformations that are (weak) doubly ergodic\nand rigid (so all their cartesian products are conservative), but with\nnon-ergodic $2$-fold cartesian product. We give conditions for rank-one\ninfinite measure-preserving transformations to be (weak) doubly ergodic and for\ntheir $k$-fold cartesian product to be conservative. We also show that a (weak)\ndoubly ergodic nonsingular group action is ergodic with isometric coefficients,\nand that the latter strictly implies W measurable sensitivity.\n", "URL": "https://arxiv.org/abs/1512.09340"} |
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] | {"Title": "Complete Path Algebras and Rational Modules", "Authors": "M.C.Iovanov", "Abstract": " We study rational modules over complete path and monomial algebras, and the\nproblem of when rational modules over the dual $C^*$ of a coalgebra $C$ are\nclosed under extensions, equivalently, when is the functor $Rat$ a torsion\nfunctor. We show that coreflexivity, closure under extensions of finite\ndimensional rational modules and of arbitrary modules are Morita invariant, and\nthat they are preserved by subcoalgebras. We obtain new large classes of\nexamples of coalgebras with torsion functor, coming from monomial coalgebras,\nand answer some questions in the literature.\n", "URL": "https://arxiv.org/abs/1512.09341"} |
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] | {"Title": "3.6 and 4.5 $\\mu$m ${\\it Spitzer}$ Phase Curves of the Highly-Irradiated\n Hot Jupiters WASP-19b and HAT-P-7b", "Authors": "Ian Wong, Heather A. Knutson, Tiffany Kataria, Nikole K. Lewis, Adam\n Burrows, Jonathan J. Fortney, Joel Schwartz, Avi Shporer, Eric Agol, Nicholas\n B. Cowan, Drake Deming, Jean-Michel Desert, Benjamin J. Fulton, Andrew W.\n Howard, Jonathan Langton, Gregory Laughlin, Adam P. Showman, and Kamen\n Todorov", "Abstract": " We analyze full-orbit phase curve observations of the transiting hot Jupiters\nWASP-19b and HAT-P-7b at 3.6 and 4.5 $\\mu$m obtained using the Spitzer Space\nTelescope. For WASP-19b, we measure secondary eclipse depths of $0.485\\%\\pm\n0.024\\%$ and $0.584\\%\\pm 0.029\\%$ at 3.6 and 4.5 $\\mu$m, which are consistent\nwith a single blackbody with effective temperature $2372 \\pm 60$ K. The\nmeasured 3.6 and 4.5 $\\mu$m secondary eclipse depths for HAT-P-7b are\n$0.156\\%\\pm 0.009\\%$ and $0.190\\%\\pm 0.006\\%$, which are well-described by a\nsingle blackbody with effective temperature $2667\\pm 57$ K. Comparing the phase\ncurves to the predictions of one-dimensional and three-dimensional atmospheric\nmodels, we find that WASP-19b's dayside emission is consistent with a model\natmosphere with no dayside thermal inversion and moderately efficient day-night\ncirculation. We also detect an eastward-shifted hotspot, suggesting the\npresence of a superrotating equatorial jet. In contrast, HAT-P-7b's dayside\nemission suggests a dayside thermal inversion and relatively inefficient\nday-night circulation; no hotspot shift is detected. For both planets, these\nsame models do not agree with the measured nightside emission. The\ndiscrepancies in the model-data comparisons for WASP-19b might be explained by\nhigh-altitude silicate clouds on the nightside and/or high atmospheric\nmetallicity, while the very low 3.6 $\\mu$m nightside planetary brightness for\nHAT-P-7b may be indicative of an enhanced global C/O ratio. We compute Bond\nalbedos of 0 ($<0.08$ at $1\\sigma$) and $0.38\\pm 0.06$ for WASP-19b and\nHAT-P-7b, respectively. In the context of other planets with thermal phase\ncurve measurements, we show that WASP-19b and HAT-P-7b fit the general trend of\ndecreasing day-night heat recirculation with increasing irradiation.\n", "URL": "https://arxiv.org/abs/1512.09342"} |
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] | {"Title": "Trinomials defining quintic number fields", "Authors": "Jesse Patsolic, Jeremy Rouse", "Abstract": " Given a quintic number field $K/\\mathbb{Q}$, we study the set of irreducible\ntrinomials, polynomials of the form $x^{5} + ax + b$, that have a root in $K$.\nWe show that there is a genus four curve $C_{K}$ whose rational points are in\nbijection with such trinomials. This curve $C_{K}$ maps to an elliptic curve\ndefined over a number field, and using this map, we are able (in some cases) to\ndetermine all the rational points on $C_{K}$ using elliptic curve Chabauty.\n", "URL": "https://arxiv.org/abs/1512.09343"} |
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] | {"Title": "Semiperfect and coreflexive coalgebras", "Authors": "Sorin Dascalescu, Miodrag C. Iovanov", "Abstract": " We study non-counital coalgebras and their dual non-unital algebras, and\nintroduce the finite dual of a non-unital algebra. We show that a theory that\nparallels in good part the duality in the unital case can be constructed. Using\nthis, we introduce a new notion of left coreflexivity for counital coalgebras,\nnamely, a coalgebra is left coreflexive if $C$ is isomorphic canonically to the\nfinite dual of its left rational dual $Rat(_{C^*}C^*)$. We show that right\nsemiperfectness for coalgebras is in fact essentially equivalent to this left\nreflexivity condition, and we give the connection to usual coreflexivity. As\napplication, we give a generalization of some recent results connecting dual\nobjects such as quiver or incidence algebras and coalgebras, and show that Hopf\nalgebras with non-zero integrals (compact quantum groups) are coreflexive.\n", "URL": "https://arxiv.org/abs/1512.09344"} |
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] | {"Title": "On the traceless SU(2) character variety of the 6-punctured 2-sphere", "Authors": "Paul Kirk", "Abstract": " We exhibit the traceless $SU(2)$ character variety of a 6-punctured 2-sphere\nas a 2-fold branched cover of ${\\mathbb{C}}P^3$, branched over the singular\nKummer surface, with the branch locus in $R(S^2,6)$ corresponding to the binary\ndihedral representations. This follows from an analysis of the map induced on\n$SU(2)$ character varieties by the 2-fold branched cover $F_{n-1}\\to S^2$\nbranched over $2n$ points, combined with the theorem of Narasimhan-Ramanan\nwhich identifies $R(F_2)$ with ${\\mathbb{C}} P^3$. The singular points of\n$R(S^2,6)$ correspond to abelian representations, and we prove that each has a\nneighborhood in $R(S^2,6)$ homeomorphic to a cone on $S^2\\times S^3$.\n", "URL": "https://arxiv.org/abs/1512.09345"} |
1512.09346 | [
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] | {"Title": "Optimised multi-ion cavity coupling", "Authors": "Stephen Begley, Markus Vogt, Gurpreet Kaur Gulati, Hiroki Takahashi\n and Matthias Keller", "Abstract": " Recent technological advances in cavity quantum electrodynamics (CQED) are\npaving the way to utilise multiple quantum emitters confined in a single\noptical cavity. In such systems it is crucially important to control the\nquantum mechanical coupling of individual emitters to the cavity mode. In this\nregard, combining ion trap technologies with CQED provides a particularly\npromising approach due to the well-established motional control over trapped\nions. Here we experimentally demonstrate coupling of up to five trapped ions in\na string to a high-finesse optical cavity. By changing the axial position and\nspacing of the ions in a fully deterministic manner, we systematically\ncharacterise their coupling to the cavity mode through visibility measurements\nof the cavity emission. In good agreement with the theoretical model, the\nresults demonstrate that the geometrical configuration of multiple trapped ions\ncan be manipulated to obtain optimal cavity coupling. Our system presents a new\nground to explore CQED with multiple quantum emitters, enabled by the highly\ncontrollable collective light-matter interaction.\n", "URL": "https://arxiv.org/abs/1512.09346"} |
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] | {"Title": "De novo visual proteomics in single cells through pattern mining", "Authors": "Min Xu, Elitza I Tocheva, Yi-Wei Chang, Grant J Jensen, Frank Alber", "Abstract": " Cryo-electron tomography enables 3D visualization of cells in a near native\nstate at molecular resolution. The produced cellular tomograms contain detailed\ninformation about all macromolecular complexes, their structures, their\nabundances and their specific spatial locations in the cell. However,\nextracting this information is very challenging and current methods usually\nrely on templates of known structure. Here, we formulate a template-free visual\nproteomics analysis as a de novo pattern mining problem and propose a new\nframework called \"Multi Pattern Pursuit\" for supporting proteome-scale de novo\ndiscovery of macromolecular complexes in cellular tomograms without using\ntemplates of known structures. Our tests on simulated and experimental\ntomograms show that our method is a promising tool for template-free visual\nproteomics analysis.\n", "URL": "https://arxiv.org/abs/1512.09347"} |
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] | {"Title": "The baryon acoustic oscillation peak: a flexible standard ruler", "Authors": "Boudewijn F. Roukema", "Abstract": " For about a decade, the baryon acoustic oscillation (BAO) peak at about 105\nMpc/h has provided a standard ruler test of the LCDM cosmological model, a\nmember of the Friedmann--Lemaitre--Robertson--Walker (FLRW) family of\ncosmological models---according to which comoving space is rigid. However,\ngeneral relativity does not require comoving space to be rigid. During the\nvirialisation epoch, when the most massive structures form by gravitational\ncollapse, it should be expected that comoving space evolves inhomogeneous\ncurvature as structure grows. The BAO peak standard ruler should also follow\nthis inhomogeneous evolution if the comoving rigidity assumption is false. This\n\"standard\" ruler has now been detected to be flexible, as expected under\ngeneral relativity.\n", "URL": "https://arxiv.org/abs/1512.09348"} |
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] | {"Title": "Faster Maximium Priority Matchings in Bipartite Graphs", "Authors": "Jonathan Turner", "Abstract": " A maximum priority matching is a matching in an undirected graph that\nmaximizes a priority score defined with respect to given vertex priorities. An\nearlier paper showed how to find maximum priority matchings in unweighted\ngraphs. This paper describes an algorithm for bipartite graphs that is faster\nwhen the number of distinct priority classes is limited. For graphs with $k$\ndistinct priority classes it runs in $O(kmn^{1/2})$ time, where $n$ is the\nnumber of vertices in the graph and $m$ is the number of edges.\n", "URL": "https://arxiv.org/abs/1512.09349"} |
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] | {"Title": "A new model for spherically symmetric anisotropic compact star", "Authors": "S.K. Maurya, Y.K. Gupta, Baiju Dayanandan and Saibal Ray", "Abstract": " In this article we obtain a new anisotropic solution for Einstein's field\nequation of embedding class one metric. The solution is representing the\nrealistic objects such as $Her~X-1$ and $RXJ~1856-37$. We perform detailed\ninvestigation of both objects by solving numerically the Einstein field\nequations under with anisotropic pressure. The physical features of the\nparameters depend on the anisotropic factor i.e. if anisotropy is zero\neverywhere inside the star then the density and pressures will become zero and\nmetric turns out to be flat. We report our results and compare with the above\nmentioned two compact objects on a number of key aspects: the central density,\nthe surface density onset and the critical scaling behavior, the effective mass\nand radius ratio, the anisotropization with isotropic initial conditions,\nadiabatic index and red shift. Along with this we have also made a comparison\nbetween the classical limit and theoretical model treatment of the compact\nobjects. Finally we discuss the implications of our findings for the stability\ncondition in relativistic compact star.\n", "URL": "https://arxiv.org/abs/1512.09350"} |
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] | {"Title": "High-Sensitivity Measurement of 3He-4He Isotopic Ratios for Ultracold\n Neutron Experiments", "Authors": "H. P. Mumm, M. G. Huber, W. Bauder, N. Abrams, C. M. Deibel, C. R.\n Huffer, P. R. Huffman, K. W. Schelhammer, C. M. Swank, R. Janssens, C. L.\n Jiang, R. H. Scott, R. C. Pardo, K. E. Rehm, R. Vondrasek, C. M.\n O'Shaughnessy, M. Paul, L. Yang", "Abstract": " Research efforts ranging from studies of solid helium to searches for a\nneutron electric dipole moment require isotopically purified helium with a\nratio of 3He to 4He at levels below that which can be measured using\ntraditional mass spectroscopy techniques. We demonstrate an approach to such a\nmeasurement using accelerator mass spectroscopy, reaching the 10e-14 level of\nsensitivity, several orders of magnitude more sensitive than other techniques.\nMeasurements of 3He/4He in samples relevant to the measurement of the neutron\nlifetime indicate the need for substantial corrections. We also argue that\nthere is a clear path forward to sensitivity increases of at least another\norder of magnitude.\n", "URL": "https://arxiv.org/abs/1512.09351"} |
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] | {"Title": "Measurements of $D_{S}^{\\pm}$-meson production in Au+Au collisions at\n $\\sqrt{s_{NN}}$ = 200 GeV in STAR", "Authors": "Md. Nasim (for the STAR collaboration)", "Abstract": " We present the first measurement of the nuclear modification factor $R_{AA}$\nand elliptic flow $v_{2}$ of $D_{s}$ in Au+Au collisions at $\\sqrt{s_{NN}}$ =\n200 GeV with the STAR detector. These results have been compared with those of\nother open charm mesons and strange mesons to determine how the (possibly)\nstrangeness equilibrated partonic matter affects the $D_{s}$ meson production.\nWe find that the nuclear modification factor of $D_{S}$ are systematically\nhigher than unity and $D^{0}$ $R_{\\rm{AA}}$. The ratio $D_{s}/D^{0}$ is shown\nas a function of transverse momentum for the 10-40$\\%$ most central Au+Au\ncollisions and compared with that in $p+p$ collisions obtained from PYTHIA. It\nis also compared with that in Pb-Pb collisions at 2.76 TeV by the ALICE\nexperiment. Our measurement indicates a hint of enhancement of $D_{S}$\nproduction in Au+Au collisions with respect to $p+p$ collisions as compared to\nnon-strange $D$ mesons.\n", "URL": "https://arxiv.org/abs/1512.09352"} |
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] | {"Title": "Thermalization of mini-jets in a quark-gluon plasma", "Authors": "Edmond Iancu and Bin Wu", "Abstract": " We present the complete physical picture for the evolution of a high-energy\njet propagating through a weakly-coupled quark-gluon plasma (QGP) by analytical\nand numerical investigation of thermalization of the soft components of the\njet. Our results support the following physical picture: the leading particle\nemits a significant number of mini-jets which promptly evolve via multiple\nbranching and thus degrade into a myriad of soft gluons, with energies of the\norder of the medium temperature $T$. Via elastic collisions with the medium\nconstituents, these soft gluons relax to local thermal equilibrium with the\nplasma over a time scale which is considerably shorter than the typical\nlifetime of the mini-jet. The thermalized gluons form a tail which lags behind\nthe hard components of the jet. Together with the background QGP, they behave\nhydrodynamically.\n", "URL": "https://arxiv.org/abs/1512.09353"} |
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] | {"Title": "An (MI)LP-based Primal Heuristic for 3-Architecture Connected Facility\n Location in Urban Access Network Design", "Authors": "Fabio D'Andreagiovanni, Fabian Mett, Jonad Pulaj", "Abstract": " We investigate the 3-architecture Connected Facility Location Problem arising\nin the design of urban telecommunication access networks. We propose an\noriginal optimization model for the problem that includes additional variables\nand constraints to take into account wireless signal coverage. Since the\nproblem can prove challenging even for modern state-of-the art optimization\nsolvers, we propose to solve it by an original primal heuristic which combines\na probabilistic fixing procedure, guided by peculiar Linear Programming\nrelaxations, with an exact MIP heuristic, based on a very large neighborhood\nsearch. Computational experiments on a set of realistic instances show that our\nheuristic can find solutions associated with much lower optimality gaps than a\nstate-of-the-art solver.\n", "URL": "https://arxiv.org/abs/1512.09354"} |
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] | {"Title": "Allowed rare pion and muon decays as tests of the Standard Model", "Authors": "Dinko Pocanic (PEN Collaboration)", "Abstract": " Simple dynamics, few available decay channels, and extremely well controlled\nradiative and loop corrections, make pion and muon decays a sensitive means for\ntesting the underlying symmetries, the universality of weak fermion couplings,\nas well as for study of pion structure and chiral dynamics. We review the\ncurrent state of experimental study of the allowed rare decays of charged\npions: (a) electronic, $\\pi^+ \\to e^+\\nu_e$, or $\\pi_{e2}$, (b) radiative,\n$\\pi^+ \\to e^+\\nu_e\\gamma$, or $\\pi_{e2\\gamma}$, and (c) semileptonic,\n$\\pi^+\\to \\pi^0 e^+ \\nu$, or $\\pi_{e3}$, as well as muon radiative decay,\n$\\mu^+\\to e^+ \\nu_{\\text{e}}\\bar{\\nu}_{\\mu}\\gamma$. Taken together, these data\npresent an internally consistent picture that also agrees well with Standard\nModel (SM) predictions. However, even following the great strides of the recent\ndecades, experimental accuracy is lagging far behind that of the theoretical\ndescription for all above processes. We review the implications of the present\nstate of knowledge and prospects for further improvement in the near term.\n", "URL": "https://arxiv.org/abs/1512.09355"} |
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] | {"Title": "On the Boundedness of The Bilinear Hilbert Transform along \"non-flat\"\n smooth curves. The Banach triangle case ($L^r,\\: 1\\leq r<\\infty$)", "Authors": "Victor Lie", "Abstract": " We show that the bilinear Hilbert transform $H_{\\Gamma}$ along curves\n$\\Gamma=(t,-\\gamma(t))$ with $\\gamma\\in\\mathcal{N}\\mathcal{F}^{C}$ is bounded\nfrom $L^{p}(\\mathbb{R})\\times\nL^{q}(\\mathbb{R})\\,\\rightarrow\\,L^{r}(\\mathbb{R})$ where $p,\\,q,\\,r$ are\nH\\\"older indices, i.e. $\\frac{1}{p}+\\frac{1}{q}=\\frac{1}{r}$, with\n$1<p<\\infty$, $1<q\\leq\\infty$ and $1\\leq r<\\infty$. Here\n$\\mathcal{N}\\mathcal{F}^{C}$ stands for a wide class of smooth \"non-flat\"\ncurves near zero and infinity whose precise definition is given in Section 2.\nThis continues author's earlier work on this topic, extending the boundedness\nrange of $H_{\\Gamma}$ to any triple of indices\n$(\\frac{1}{p},\\,\\frac{1}{q},\\,\\frac{1}{r'})$ within the Banach triangle. Our\nresult is optimal up to end-points.\n", "URL": "https://arxiv.org/abs/1512.09356"} |
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] | {"Title": "Intrinsic Nanotwin Effect on Thermal Boundary Conductance in Bulk and\n Single-Nanowire Twinning Superlattices", "Authors": "Aaron Porter, Chan Tran, Frederic Sansoz", "Abstract": " Coherent twin boundaries form periodic lamellar twinning in a wide variety of\nsemiconductor nanowires, and are often viewed as near-perfect interfaces with\nreduced phonon and electron scattering behaviors. Such unique characteristics\nare of practical interest for high-performance thermoelectrics and\noptoelectronics; however, insufficient understanding of twin-size effects on\nthermal boundary resistance poses significant limitations for potential\napplications. Here, using atomistic simulations and ab-initio calculations, we\nreport direct computational observations showing a crossover from diffuse\ninterface scattering to superlattice-like behavior for thermal transport across\nnanoscale twin boundaries present in prototypical bulk and nanowire Si\nexamples. Intrinsic interface scattering is identified for twin periods larger\nthan or equal to 22.6 nm, but also vanishes below this size to be replaced by\nultrahigh Kapitza thermal conductances. Detailed analysis of vibrational modes\nshows that modeling twin boundaries as atomically-thin 6H-Si layers, rather\nthan phonon scattering interfaces, provides an accurate description of\neffective cross-plane and in-plane thermal conductivities in twinning\nsuperlattices, as a function of the twin period thickness.\n", "URL": "https://arxiv.org/abs/1512.09357"} |
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] | {"Title": "Geometric Memory Management", "Authors": "Wouter Kuijper", "Abstract": " In this report we discuss the concepts of geometric memory align- ment,\ngeometric memory allocation and geometric memory mapping. We introduce block\ntrees as an efficient data structure for representing geo- metrically aligned\nblock allocation states. We introduce niche maps as an efficient means to find\nthe right place to allocate a chunk of a given size whilst maintaining good\npacking and avoiding fragmentation. We intro- duce ledging as a process to deal\nwith chunk sizes that are not a power of two. We discuss using block trees for\nmemory mapping in the context of virtual memory management. We show how ledging\ncan also be applied at the level of virtual memory in order to create fixed\nsize virtual mem- ory spaces. Finally we discuss implementation of both\ngeometric memory allocation as well as geometric memory mapping in hardware.\n", "URL": "https://arxiv.org/abs/1512.09358"} |
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] | {"Title": "A Refinement Algorithm for Generalized B-splines", "Authors": "Ian D. Henriksen, Emily J. Evans", "Abstract": " In this paper we present a method for knot insertion and degree elevation of\ngeneralized B-splines (GB-splines) via the local representation of these curves\nas piecewise functions. The use of local structures makes the refinement\nroutines simpler to understand and implement.\n", "URL": "https://arxiv.org/abs/1512.09359"} |
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] | {"Title": "Stress retardation versus stress relaxation in linear viscoelasticity", "Authors": "Ivan C. Christov and C. I. Christov", "Abstract": " We present a preliminary examination of a new approach to a long-standing\nproblem in non-Newtonian fluid mechanics. First, we summarize how a general\nimplicit functional relation between stress and rate of strain of a continuum\nwith memory is reduced to the well-known linear differential constitutive\nrelations that account for \"relaxation\" and \"retardation.\" Then, we show that\nrelaxation and retardation are asymptotically equivalent for small Deborah\nnumbers, whence causal pure relaxation models necessarily correspond to\nill-posed pure retardation models. We suggest that this dichotomy could be a\npossible way to reconcile the discrepancy between the theory of and certain\nexperiments on viscoelastic liquids that are conjectured to exhibit only stress\nretardation.\n", "URL": "https://arxiv.org/abs/1512.09360"} |
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] | {"Title": "Polarization Engineering in Nano-Scale Waveguides Using Lossless Media", "Authors": "PoHan Chang, Charles Lin, Amr S. Helmy", "Abstract": " A device that achieves controllable rotation of the state of polarization by\nrotating the orientation of the eigenmodes of a waveguide by 45$^{\\circ}$ is\nintroduced and analyzed. The device can be implemented using lossless materials\non a nanoscale and helps circumvent the inherent polarization dependence of\nphotonic devices realized within the silicon on insulator platform. We propose\nand evaluate two novel polarization rotator-based schemes to achieve\npolarization engineering functions: (1) A multi-purpose device, with dimensions\non the order of a few wavelengths which can function as a polarization splitter\nor an arbitrary linear polarization state generator. (2) An energy efficient\noptical modulator that utilizes eigenmode rotation and epsilon near zero (ENZ)\neffects to achieve high extinction ratio, polarization insensitive amplitude\nmodulation without the need to sweep the device geometry to match the TE and TM\nmode attributes. By using indium tin oxide (ITO) as an example for a tunable\nmaterial, the proposed modulator provides polarization insensitive operation\nand can be realized with a modulation bandwidth of 112 GHz, a length of 1800 nm\nan energy per bit of 7.5 $fJ$ and an optical bandwidth of 210 nm.\n", "URL": "https://arxiv.org/abs/1512.09361"} |
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] | {"Title": "A formulation for p-adic versions of the Birch and Swinnerton-Dyer\n conjectures in the supersingular case", "Authors": "Florian Sprung", "Abstract": " Given an elliptic curve E and a prime p of (good) supersingular reduction, we\nformulate p-adic analogues of the Birch and Swinnerton-Dyer conjecture using a\npair of Iwasawa functions L^\\sharp(E,T) and L^\\flat(E,T). They are equivalent\nto the conjectures of Perrin-Riou and Bernardi. We also generalize work of\nKurihara and Pollack to give a criterion for positive rank in terms of the\nvalue of the quotient between these functions, and derive a result towards a\nnon-vanishing conjecture. We also generalize a conjecture of Kurihara and\nPollack concerning the greatest common divisor of the two functions to the\ngeneral supersingular case.\n", "URL": "https://arxiv.org/abs/1512.09362"} |
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] | {"Title": "Counting independent terms in big-oh notation", "Authors": "Fabiano de S. Oliveira, Valmir C. Barbosa", "Abstract": " The field of computational complexity is concerned both with the intrinsic\nhardness of computational problems and with the efficiency of algorithms to\nsolve them. Given such a problem, normally one designs an algorithm to solve it\nand sets about establishing bounds on its performance as functions of the\nalgorithm's variables, particularly upper bounds expressed via the big-oh\nnotation. But if we were given some inscrutable code and were asked to figure\nout its big-oh profile from performance data on a given set of inputs, how hard\nwould we have to grapple with the various possibilities before zooming in on a\nreasonably small set of candidates? Here we show that, even if we restricted\nour search to upper bounds given by polynomials, the number of possibilities\ncould be arbitrarily large for two or more variables. This is unexpected, given\nthe available body of examples on algorithmic efficiency, and serves to\nillustrate the many facets of the big-oh notation, as well as its\ncounter-intuitive twists.\n", "URL": "https://arxiv.org/abs/1512.09363"} |
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] | {"Title": "Stein's method for steady-state diffusion approximations: an\n introduction through the Erlang-A and Erlang-C models", "Authors": "Anton Braverman, J.G. Dai, Jiekun Feng", "Abstract": " This paper provides an introduction to the Stein method framework in the\ncontext of steady-state diffusion approximations. The framework consists of\nthree components: the Poisson equation and gradient bounds, generator coupling,\nand moment bounds. Working in the setting of the Erlang-A and Erlang-C models,\nwe prove that both Wasserstein and Kolmogorov distances between the stationary\ndistribution of a normalized customer count process, and that of an\nappropriately defined diffusion process decrease at a rate of $1/\\sqrt{R}$,\nwhere $R$ is the offered load. Futhermore, these error bounds are\n\\emph{universal}, valid in any load condition from lightly loaded to heavily\nloaded.\n", "URL": "https://arxiv.org/abs/1512.09364"} |
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] | {"Title": "Phantom dark energy from scalar$-$torsion coupling", "Authors": "Nikodem J. Pop{\\l}awski", "Abstract": " We show that a scalar field without a kinetic term in the Lagrangian density,\ncoupled to the covariant divergence of the torsion vector in the\nEinstein$-$Cartan theory of gravity, becomes kinetic in its\ngeneral-relativistic equivalent formulation. The resulting kinetic term is\nnegative: such a scalar field could be a source of phantom dark energy.\n", "URL": "https://arxiv.org/abs/1512.09365"} |
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] | {"Title": "On quantum graph filters with flat passbands", "Authors": "Ond\\v{r}ej Turek", "Abstract": " We examine transmission through a quantum graph vertex to which auxiliary\nedges with constant potentials are attached. We find a characterization of\nvertex couplings for which the transmission probability from a given \"input\"\nline to a given \"output\" line shows a flat passband. The bandwidth is\ncontrolled directly by the potential on the auxiliary edges. Vertices with such\ncouplings can thus serve as controllable band-pass filters. The paper extends\nearlier works on the topic. The result also demonstrates the effectivity of the\n$ST$-form of boundary conditions for a study of scattering in quantum graph\nvertices.\n", "URL": "https://arxiv.org/abs/1512.09366"} |
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] | {"Title": "Solution of quantum integrable systems from quiver gauge theories", "Authors": "Nick Dorey and Peng Zhao", "Abstract": " We construct new integrable systems describing particles with internal spin\nfrom four-dimensional $\\mathcal{N}=2$ quiver gauge theories. The models can be\nquantized and solved exactly using the quantum inverse scattering method and\nalso using the Bethe/Gauge correspondence.\n", "URL": "https://arxiv.org/abs/1512.09367"} |
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] | {"Title": "Brighter than the sun: Powerscape visualizations illustrate power needs\n in neuroscience and psychology", "Authors": "Pascal Wallisch", "Abstract": " Participant needs to achieve a given power are frequently underestimated.\nThis is particularly problematic when effect sizes are small, such as is common\nin neuroscience and psychology. We provide tools to make these demands\nimmediately obvious in the form of a powerscape visualization.\n", "URL": "https://arxiv.org/abs/1512.09368"} |
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] | {"Title": "Towards Energy Consumption Verification via Static Analysis", "Authors": "Pedro Lopez-Garcia and Remy Haemmerle and Maximiliano Klemen and Umer\n Liqat and Manuel V. Hermenegildo", "Abstract": " In this paper we leverage an existing general framework for resource usage\nverification and specialize it for verifying energy consumption specifications\nof embedded programs. Such specifications can include both lower and upper\nbounds on energy usage, and they can express intervals within which energy\nusage is to be certified to be within such bounds. The bounds of the intervals\ncan be given in general as functions on input data sizes. Our verification\nsystem can prove whether such energy usage specifications are met or not. It\ncan also infer the particular conditions under which the specifications hold.\nTo this end, these conditions are also expressed as intervals of functions of\ninput data sizes, such that a given specification can be proved for some\nintervals but disproved for others. The specifications themselves can also\ninclude preconditions expressing intervals for input data sizes. We report on a\nprototype implementation of our approach within the CiaoPP system for the XC\nlanguage and XS1-L architecture, and illustrate with an example how embedded\nsoftware developers can use this tool, and in particular for determining values\nfor program parameters that ensure meeting a given energy budget while\nminimizing the loss in quality of service.\n", "URL": "https://arxiv.org/abs/1512.09369"} |
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] | {"Title": "Wild herbivores in forests: four case studies", "Authors": "Giorgio Sabetta, Emma Perracchione, Ezio Venturino", "Abstract": " A three population system with a top predator population, i.e. the\nherbivores, and two prey populations, grass and trees, is considered to model\nthe interaction of herbivores with natural resources. We apply the model for\nfour natural mountain parks in Northern Italy, three located in the Eastern\nAlps, two of which in the Dolomites and one in the Julian Alps, and one in the\nMaritime Alps, Northwest Italy. The simulations, based on actual data gathered\nfrom contacts with rangers and parks administrators, field samplings and\npublished material, provide useful information on the behavior of the\nvegetation-wild herbivores interactions and the possible medium-long term\nevolution of these ecosystems. At the same time they show that these ecosystems\nare in a very delicate situation, for which the animal populations could become\nextinguished in case of adverse environmental conditions. The determination of\nthe so called sensitivity surfaces support our findings and indicate some\npossible preventive measures to the park admistrators.\n", "URL": "https://arxiv.org/abs/1512.09370"} |
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] | {"Title": "Parallax of Galactic Cepheids from Spatially Scanning the Wide Field\n Camera 3 on the Hubble Space Telescope: The Case of SS Canis Majoris", "Authors": "Stefano Casertano, Adam G. Riess, Jay Anderson, Richard I. Anderson,\n J. Bradley Bowers, Kelsey I. Clubb, Aviv R. Cukierman, Alexei V. Filippenko,\n Melissa L. Graham, John W. MacKenty, Carl Melis, Brad E. Tucker, and Gautam\n Upadhya", "Abstract": " We present a high-precision measurement of the parallax for the 12-day\nCepheid SS Canis Majoris, obtained via spatial scanning with the Wide Field\nCamera 3 (WFC3) on the Hubble Space Telescope (HST). Spatial scanning enables\nastrometric measurements with a precision of 20-40 muas, an order of magnitude\nbetter than pointed observations. SS CMa is the second Cepheid targeted for\nparallax measurement with HST, and is the first of a sample of eighteen\nlong-period >~ 10 days) Cepheids selected in order to improve the calibration\nof their period-luminosity relation and eventually permit a determination of\nthe Hubble constant H_0 to better than 2%. The parallax of SS CMa is found to\nbe 348 +/- 38 muas, corresponding to a distance of 2.9 +/- 0.3 kpc. We also\npresent a refinement of the static geometric distortion of WFC3 obtained using\nspatial scanning observations of calibration fields, with a typical magnitude\n<~0.01 pixels on scales of 100 pixels.\n", "URL": "https://arxiv.org/abs/1512.09371"} |
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] | {"Title": "Computationally Designed Zirconium Organometallic Catalyst for Direct\n Epoxidation of Alkenes without Allylic H Atoms: Aromatic Linkage Eliminates\n Formation of Inert Octahedral Complexes", "Authors": "Bo Yang and Thomas A. Manz", "Abstract": " We used density functional theory to computationally design a Zr\norganometallic catalyst for selectively oxidizing substrates using molecular\noxygen as oxidant without coreductant. Each selective oxidation cycle involves\nfour general steps: (a) a peroxo or weakly adsorbed O2 group releases an O atom\nto substrate to form substrate oxide and an oxo group, (b) an oxygen molecule\nadds to the oxo group to generate an eta2-ozone group, (c) the eta2-ozone group\nrearranges to form an eta3-ozone group, and (d) the eta3-ozone group releases\nan O atom to substrate to form substrate oxide and regenerate the peroxo or\nweakly adsorbed O2 group. This catalyst could potentially be synthesized via\nthe condensation reaction Zr(N(R)R')4 + 2\nC6H4-1,6-(N(C6H3-2',6'-(CH(CH3)2)2)OH)2 -->\nZr(C6H4-1,6-(N(C6H3-2',6'-(CH(CH3)2)2)O)2)2 [aka Zr_Benzol catalyst] + 4\nN(R)(R')H where R and R' are CH3, CH2CH3, or other alkyl groups. For direct\nethylene epoxidation, the computed enthalpic energetic span (i.e., effective\nactivation energy for the entire catalytic cycle) is 27.1 kcal/mol, which is\none of the lowest values for catalysts studied to date. We study reaction\nmechanisms and the stability of different catalyst forms as a function of the\noxygen atom chemical potential. Notably, an aromatic linkage in each ligand\nprevents this catalyst from deactivating to form an inactive octahedral-like\nstructure that contains the same atoms as the dioxo complex, Zr(Ligand)2(O)2.\nDue to a side reaction that can transfer an allylic H atom from alkene to\ncatalyst, this catalyst is useful for directly epoxidizing alkenes such as\nethylene that do not contain allylic H atoms. To better understand the reaction\nchemistry, we computed net atomic charges and bond orders for the two\ncatalytically relevant reaction cycles. These results quantify electron\ntransfer and bond forming and breaking during the catalytic process.\n", "URL": "https://arxiv.org/abs/1512.09372"} |
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] | {"Title": "Bulk moduli of PbS$_{x}$Se$_{1-x}$, PbS$_{x}$Te$_{1-x}$ and\n PbSe$_{x}$Te$_{1-x}$ from a thermodynamical model compared to generalized\n gradient approximation approach", "Authors": "Efthimios S. Skordas", "Abstract": " Very recently, first-principle technique of full-potential linearized\naugmented plane-wave method, by using for exchange-correlation potential the\ngeneralized gradient approximation (GGA), was employed for the study of the\nlead chalcogenide semiconductors' alloys PbS$_{x}$Se$_{1-x}$,\nPbS$_{x}$Te$_{1-x}$ and PbSe$_{x}$Te$_{1-x}$. These density functional\ncalculations led to the determination of structural, electronic and optical\nproperties, including the values of lattice constants and bulk moduli as a\nfunction of composition. Here, we investigate the latter properties, but by\nemploying a thermodynamical model which has been suggested for the formation\nand migration of defects in solids including several recent applications in\nsemiconductors. The following crucial difference emerges when comparing the\npresent results with those deduced by density functional calculations: Among\nthe alloys studied, GGA calculations identify that PbS$_{x}$Te$_{1-x}$ exhibits\nthe most evident non-linear variation of the bulk modulus versus the\ncomposition, while according to the thermodynamical model such an evident\nnon-linear behavior -and maybe somewhat stronger- is also expected for\nPbSe$_{x}$Te$_{1-x}$. A tentative origin of this diversity is discussed.\n", "URL": "https://arxiv.org/abs/1512.09373"} |
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] | {"Title": "Cosmological perturbations in mimetic Horndeski gravity", "Authors": "Frederico Arroja, Nicola Bartolo, Purnendu Karmakar and Sabino\n Matarrese", "Abstract": " We study linear scalar perturbations around a flat FLRW background in mimetic\nHorndeski gravity. In the absence of matter, we show that the Newtonian\npotential satisfies a second-order differential equation with no spatial\nderivatives. This implies that the sound speed for scalar perturbations is\nexactly zero on this background. We also show that in mimetic $G^3$ theories\nthe sound speed is equally zero. We obtain the equation of motion for the\ncomoving curvature perturbation (first order differential equation) and solve\nit to find that the comoving curvature perturbation is constant on all scales\nin mimetic Horndeski gravity. We find solutions for the Newtonian potential\nevolution equation in two simple models. Finally we show that the sound speed\nis zero on all backgrounds and therefore the system does not have any wave-like\nscalar degrees of freedom.\n", "URL": "https://arxiv.org/abs/1512.09374"} |
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] | {"Title": "Cosmological stealths with nonconformal couplings", "Authors": "Eloy Ay\\'on-Beato, P. Isaac Ram\\'irez-Baca, C\\'esar A.\n Terrero-Escalante", "Abstract": " In this paper we reconsider the existence of stealth fields during the\nevolution of our Universe by admitting more realistic nonminimal couplings to\ngravity than the conformal one. In the framework of the FRW cosmology we found\nthat inhomogeneous stealths, as those enabled in the conformal case, are only\nallowed in de Sitter backgrounds. In particular, it is shown that the\nhomogeneous stealths resulting from nonconformal couplings can coexist with\neach kind of matter dominant in the several phases characterizing the evolution\nof our Universe according to the $\\Lambda$CDM model.\n", "URL": "https://arxiv.org/abs/1512.09375"} |
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] | {"Title": "Hall conductance of two-band systems in a quantized field", "Authors": "Z. C. Shi, H. Z. Shen, and X. X. Yi", "Abstract": " Kubo formula gives a linear response of a quantum system to external fields,\nwhich are classical and weak with respect to the energy of the system. In this\nwork, we take the quantum nature of the external field into account, and define\na Hall conductance to characterize the linear response of a two-band system to\nthe quantized field. The theory is then applied to topological insulators.\nComparisons with the traditional Hall conductance are presented and discussed.\n", "URL": "https://arxiv.org/abs/1512.09376"} |