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one of the original motivations for categorifying quantum groups was to provide a representation theoretic explanation for the existence of khovanov homology and other link homologies categorifying quantum link invariants . just | 1 |
for a number of reasons , the present evaluation of charged - particle thermonuclear reaction rates represents a significant step forward compared to previous work . first , we developed a new | 1 |
formally speaking , wave maps are the analogue of harmonic maps where the minkowski metric is imposed on the independent variables . more precisely , for a smooth @xmath2 with @xmath3 riemannian | 1 |
the magnetic monopole may be the most interesting , and perhaps the most important , particle to be never found . once the unity of electricity and magnetism was understood , it | 1 |
in @xcite dorette pronk introduced the notion of ( _ right _ ) _ bicalculus of fractions _ , generalizing to the framework of bicategories the concept of ( right ) calculus | 1 |
* delaunay triangulations . * let @xmath0 be a finite set of points in the plane . let @xmath5 and @xmath4 denote the euclidean voronoi diagram and delaunay triangulation of @xmath0 , | 1 |
one of the fundamental issues of string theory is its spacetime symmetry structure . it has long been believed that string theory consists of huge hidden symmetries . this is strongly suggested | 1 |
the study of cognitive bias has its historical roots in a classification proposed by francis bacon ( 1561 - 1626 ) of what he called the _ idola _ ( a latin | 1 |
in this work , we are interested in quantum resonances , that is poles of the resolvent meromorphically extended through the real axis of self - adjoint operators @xmath0 . mostly , | 1 |
few astronomical measurements are as direct and model - independent as trigonometric parallaxes , as they rely solely on geometry and an accurate ephemeris of the earth s orbit . distances determined | 1 |
as a massive star reaches the end of its life , it eventually exhausts its hydrogen supply and begins burning helium , a phase that lasts for only @xmath010% of the massive | 1 |
numerous authors have demonstrated that the observed evolution of clusters of galaxies can place a strong constraint on the present day value of the matter density of the universe , @xmath12=@xmath13 ( | 1 |
on christmas eve 1926 , paul a. m. dirac , on an extended visit to niels bohr s institute in copenhagen , wrote to pascual jordan , assistant to max born in | 1 |
the role and physics of accretion in dense ( proto)cluster environments are central to understanding massive star formation , yet remain poorly understood ( c.f . * ? ? ? this is | 1 |
the purpose of this article is to present the virtual fundamental chain technique and its application to the moduli space of pseudo - holomorphic curves , in as much detail as possible | 1 |
in the preceding work , referred to as paper i , we presented a method of evaluating thermonuclear reaction rates that is based on the monte carlo technique . the method allows | 1 |
[ [ scientific - context . ] ] scientific context . + + + + + + + + + + + + + + + + + + + research on | 1 |
kuranishi structures were introduced to symplectic topology by fukaya and ono @xcite , and refined by joyce @xcite , in order to extract homological data from compactified moduli spaces of holomorphic maps | 1 |
since 2005 , when the first edition of the present lecture course was prepared , polaron physics continued to intensely develop , involving new areas and testing new powerful methods . in | 1 |
the lectures collected in the present paper have been written on the on the occasion of a course prepared for the phd program of the university of milan - bicocca . following | 1 |
i have recently decided that i will spend some time and effort to try to come up with a consistent and satisfying account of how qm ( quantum mechanics ) works and | 1 |
the sloan digital sky survey ( sdss ) , and its extensions , have now obtained _ ugriz _ photometry for several hundred million stars ( through dr7 ; see abazajian et | 1 |
suppose @xmath1 , and let @xmath2 be a partition of @xmath3 , and let @xmath4 be a stratum of abelian differentials , i.e. the space of pairs @xmath5 where @xmath6 is a | 1 |
determining the binary stellar fraction throughout the universe , a fundamental constraint on star formation , demands the identification and characterization of substantial populations of extragalactic stars that are unquestionably binary . | 1 |
in recent decades , elucidation of unconventional superconductivity in strongly correlated electron systems ( sces ) has been one of the central issues both in experimental and theoretical research fields of condensed | 1 |
let us start with a ( very rough ) scheme . imagine an experiment that produces some bit string @xmath1 . we know nothing about the device that produced this data , | 1 |
in 1970 , vitaly efimov found a remarkable effect in the quantum spectrum of three particles @xcite . he considered particles interacting through short - range attractive interactions that are nearly resonant | 1 |
brightest cluster galaxies occupy an important parameter space within the study of galaxy formation and evolution . residing spatially and dynamically at the centres of galaxy clusters , they are the most | 1 |
for the sake of completeness , we recall here the discussion from @xcite . its purpose here is to contrast the present approach with some other approaches @xcite to the unification of | 1 |
this section is divided into three parts . in the first , we outline the general , conceptual viewpoint that underlies loop quantum gravity ; in the second , we recall some | 1 |
this is a review of theoretical and experimental work in the context of the manganese oxides widely known as manganites . these materials are currently being investigated by a sizable fraction of | 1 |
the hubbard model on a bipartite lattice is the simplest realistic toy model for description of the electronic correlation effects in general many - electron problems with short - range interaction on | 1 |
* in loving memory of my late father anwar * * my mother adiba * * jacob avner and daniel * graph theory is regarded as having begun with euler s solution | 1 |
besides their fundamental role in mathematics , lie algebras are of central importance in many areas of physics . the lie algebra @xmath3 describes rotations in 3-dimensional coordinate space as well as | 1 |
the central theme of this paper is , as indicated by the title , _ dimension theory_. basically , an equivalence relation @xmath4 is given on a structure @xmath3 , and our | 1 |
a wide range of problems in physics concerns systems with long - range interactions . however , their statistical and dynamical properties are much less understood than those of short - range | 1 |
these notes correspond to lectures given first at les houches and later , in an extended version , at ictp ( trieste ) . as a result they keep all blemishes of | 1 |
all living systems are made of cells . a single cell itself can be an _ uni - cellular _ organism whereas _ multi - cellular _ organisms consist of different types | 1 |
this article reports work carried out under the auspices of the committee on data for science and technology ( codata ) task group on fundamental constants . it describes in detail the | 1 |
quantum crystals are characterised by light - weight particles interacting through weak long - range forces . at low temperatures , the kinetic energy per particle in a quantum crystal , @xmath3 | 1 |
like many stars , the sun is composed overwhelmingly of h and he ( @xmath0 by mass ) , with the elements o , c , fe , ne , si , | 1 |
conventionally , electric transport in bulk materials is characterized by the conductivity @xmath1 . then , the conductance @xmath2 of a finite - size sample of dimensions @xmath3 can be found by | 1 |
in a series of recent papers new interest has grown in the problem of finding the most general solution to the spherically symmetric equations of general relativity , including matter . many | 1 |
nearly fifty years ago , the @xmath2 puzzle led gell - mann and pais @xcite to discover that interaction ( or flavor ) eigenstates need not coincide with particles having well - | 1 |
i vividly remember being on the beach , at quite a young age , trying to understand my father s explanation of newton s law of action and reaction . i would | 1 |
wide - field and deep multi - wavelength surveys have allowed us to study statistically large samples of galaxies at a wide range of redshifts with unprecedented detail . substantial progress in | 1 |
most of our collective activities are regulated by other people who decide whether they are well done or not . one has to learn some arbitrary symbols to write understandable messages , | 1 |
our basic aim is to deduce asymptotic properties of polynomials that are orthogonal with respect to pure point measures supported on finite sets . let [ symbol : number ] @xmath2 , | 1 |
over the past decade , taking the higher - categorical nature of various mathematical structures seriously has turned out to be a very fruitful idea in several areas of mathematics . in | 1 |
double affine hecke algebras , also known as _ cherednik algebras _ , were first introduced by cherednik as a tool for proving the macdonald constant term conjectures . in @xcite , | 1 |
hilbert modular surfaces have been objects of extensive investigation in complex and algebraic geometry , and more recently in number theory . since hilbert modular varieties are moduli spaces for abelian varieties | 1 |
a complete inventory of all the coeval stars in a young stellar association , cluster , or group ( hereafter association " ) enables studies of the initial mass function ( imf | 1 |
quiver grassmannians are varieties that parametrize subrepresentations of quiver representations . they first appeared in literature nearly 25 years ago ( cf . @xcite ) , but the large attention they received | 1 |
in the present paper , we have two principal goals . first , we present data which have a bearing on the existence of correlations between rotation and activity ( racs " | 1 |
currently , several fundamental questions about the low - redshift intergalactic medium ( igm ) require better observational constraints . what fraction of the ordinary baryonic matter in the universe is located | 1 |
klein s model of hyperbolic space is well known to geometers . the underlying set is , in the planar case , the interior of an ellipse , and in the three | 1 |
robins et al , 2008 , published a theory of higher order influence functions for inference in semi- and non - parametric models . this paper is a comprehensive manuscript from which | 1 |
let @xmath0 be a symplectic manifold without boundary , and @xmath2 a compact connected lie group with lie algebra @xmath3 . we fix a hamiltonian action of @xmath2 on @xmath4 and an | 1 |
this paper is devoted to the analytic continuation of three - dimensional chern - simons gauge theory as a function of its coupling parameters . one motivation for this study concerns three | 1 |
starting from the historic discovery of sco x-1 ( giacconi et al . 1962 ) , x - ray observations of more than forty years ( see pounds 2004 for a review | 1 |
fock and goncharov conjectured that the algebra of functions on a cluster variety has a canonical vector space basis parameterized by the tropical points of the mirror cluster variety . unfortunately , | 1 |
in the past fifteen years , remarkable progress has been made towards the understanding of the holomorphic extendability properties of cr functions . at the origin of this development , the most | 1 |
linear polymers are examples of soft - matter systems consisting of a series of identical , or similar , covalently - bonded subunits ( monomers ) . the fundamental physical properties of | 1 |
in dieser doktorarbeit werden modelle fr die oberflchen epitaktisch gewachsener kristalle entwickelt . i m einleitungskapitel [ einleitungskapitel ] werden die wichtigsten prozesse auf kristalloberflchen in einer fr die molekularstrahlepitaxie ( mbe | 1 |
space weather is driven by changes in the sun s magnetic field and by the consequences of that variability in earth s magnetic field and upper atmosphere . this results in a | 1 |
this article is an account of some basic local geometric properties of the hermitian symmetric spaces and how these properties can be used to derive interesting topological and algebro - geometric consequences | 1 |
what is the origin of the inhomogeneities we observe in the sky ? what is their typical wavelength ? how come that we are able to observe these inhomogeneities ? the term | 1 |
the existence of smooth framed manifolds of kervaire invariant one is one of the oldest unresolved issues in differential and algebraic topology . the question originated in the work of pontryagin in | 1 |
the geometry is that of general relativity : the space - time universe is a smooth connected hausdorff manifold m endowed with a metric g which has the signature - + + | 1 |
a wealth of high resolution spectra in uv , euv and x - ray regions has been obtained for solar , stellar and other astrophysical sources by many space missions , such | 1 |
the discovery of high temperature superconductivity in cuprates @xcite and the rapid raising of the transition temperature to well above the melting point of nitrogen @xcite ushered in an era of great | 1 |
interacting and merging galaxies are among the most fascinating astronomical objects in the universe . these galaxy systems span a wide range of configurations , from single distant encounters to close encounters | 1 |
wir untersuchen , inwiefern man auf einer carnot - mannigfaltigkeit @xmath0 ein spektrales tripel konstruieren kann , welches die carnot - carathodory metrik und die gradierte dimension von @xmath0 erkennen soll . | 1 |
the term _ duality _ is pervasive in physics , mathematics and philosophy . in general , a duality connects and contrasts two aspects or realizations of a given entity . in | 1 |
we assume that @xmath0 is a function meromorphic in a neighborhood of infinity , and consider domains @xmath1 to which the function @xmath0 can be extended in a meromorphic and single - | 1 |
the hydrodynamics of conducting fluids is of great importance in many terrestrial and astrophysical phenomena . examples include the generation of magnetic fields via dynamo action in the interstellar medium , stars | 1 |
experiments with ultracold atoms provide unprecedented opportunities to emulate precisely tailored model hamiltonians at temperatures close to zero @xcite . these model quantum systems are not only well isolated from their environment | 1 |
the photon is one of the basic elementary particles . this `` horrendous - looking hypothesis of light - quanta '' introduced in 1905 by einstein has been based on the planck | 1 |
the multiplicity of stars is an important characteristic for understanding how they form and evolve . the fraction of multiple stars has implications for typical architecture of stellar and planetary systems , | 1 |
astrometry and geodesy have undergone a revolution during the past three decades . this revolution was initiated in the mid-1960s by the advent of interferometry at radio frequencies using antennas separated by | 1 |
in providing a unified framework for the description of fundamental interactions , the gauge principle has proved very successful . the electromagnetic , weak and strong interactions are all described by gauge | 1 |
for every plane diagram of an oriented link @xmath4 , khovanov s link homology theory @xcite yields a chain complex @xmath5 of graded vector spaces whose graded euler characteristic agrees with the | 1 |
there has been interest in problems at the interface of cosmology and particle physics for over thirty years ( see zeldovich 1965 ) , but it is only in the past decade | 1 |
in the now standard model of concordance cosmology , large - scale structure grows through simple gravitational aggregation and collapse from the initial fluctuations in the mass density of the early universe | 1 |
the measurement of anisotropies in the cosmic microwave background ( e.g. spergel et al . 2003 ) combined with observations of high redshift supernovae ( e.g. riess et al . 1998 , | 1 |
the study of the gromov - hausdorff convergence of riemannian manifolds has been a significant branch in differential geometry . in the study of convergence or collapsing of riemannian manifolds , one | 1 |
looking at star formation across the milky way , a large variety of different conditions is encountered , in many cases leading to observed different modalities . one of the most relevant | 1 |
for nearly integrable hamiltonian systems , the set of kam tori has a relatively large lebesgue measure in phase space . for systems with two degrees of freedom , it implies the | 1 |
most of the ordinary ( visible ) matter in the universe , from a tiny terrestrial pebble to a giant star , is composed of protons and neutrons ( nucleons ) . | 1 |
in papers @xcite and @xcite , we systematically surveyed period variations of superhumps in su uma - type dwarf novae ( for general information of su uma - type dwarf novae and | 1 |
accurate absolute photometric measurements of stars and galaxies lie at the very heart of modern astronomy . modern day measurements , both from space with the _ hubble space telescope _ , | 1 |
strongly correlated quantum systems on low - dimensional lattices continue to pose some of the most interesting challenges of modern quantum many - body physics . in condensed matter physics , correlation | 1 |
this paper is a contribution to the study of linear dynamical systems on hilbert spaces . in other words , we are interested in the behavior of orbits of bounded linear operators | 1 |
the paper is about a painlev iii equation of type @xmath0 and its relation to isomonodromic families of vector bundles on @xmath1 with meromorphic connections . this equation is very classical , | 1 |
while still holding many surprises , one - dimensional ( 1d ) quantum many - body systems have fascinated physicists and mathematicians alike for nearly a century . indeed , shortly after | 1 |
= 12 plus 1000pt minus 1000pt # 1 # 1= to = cmss10 at 4.61pt = cmss10 at 6.81pt = cmss10 = = = = " 375 # 1 # 1 ps | 1 |
with the consolidation of the cold dark matter scenario for structure formation ( e.g. , blumenthal 1984 ) , the study of galaxy evolution is entering an era of high precision , | 1 |
ultra - luminous x - ray sources ( ulxs ) are extra - nuclear sources with luminosities in the range of @xmath9 erg / sec in other galaxies , and have been | 1 |
in the introduction to pauli s collected scientific papers , the editors , ralph kronig and victor weisskopf , make the following statement : _ _ _ _ _ _ _ _ | 1 |
the investigation of transport phenomena in metals is very significant since we can extract a large amount of important information with regard to the electronic states of metals . in conventional metals | 1 |
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