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in order to understand the physical processes in the solar interior , its atmosphere as well as the interplanetary environment ( including `` space weather '' close to earth ) , a
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why do we observe magnetic fields in the sky ? why do we live in a magnetized universe ? a variety of observations imply that stars , planets , galaxies , clusters
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causality is the relation between causes and their effects , or between regularly correlated phenomena . causes are things that bring about results , actions or conditions . no doubt , therefore
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the aim of this paper is to develop the theory of duals for gray categories . the principal tool is a diagrammatic calculus introduced in this paper . this can be viewed
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the phenomenon of electric conduction in metals and semiconductors has been a prominent research topic ever since the early days of solid - state physics . the idea that electric currents flowing
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[ sec : intro ] the study of nucleosynthesis in massive stars has a rich history ( e.g. * ? ? ? * ; * ? ? ? * ; * ?
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over the last decades , due to experimental improvements , there is an increasing interest in physical systems where finite size effects play an important role . this is the case of
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the aim of this thesis is to shed some light on the geometric aspects of certain problems that lie in the heart of harmonic analysis . in particular , being interested in
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cette _ introduction _ tendue est ncessaire la prsentation des rsultats principaux de ce mmoire . dans les sections 3 et 4 , quil est conseill de lire en parallle , le
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the introduction is divided into three parts : ( 1 ) _ physics _ , ( 2 ) _ applications _ , and ( 3 ) _ developments_. a brief outline of
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a 3-dimensional orbifold is a metrizable space equipped with an atlas of compatible local models given by quotients of @xmath2 by finite subgroups of @xmath3 . for example , the quotient of
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the wilkinson microwave anisotropy probe ( wmap ) @xcite measured the cosmic microwave background ( cmb ) fluctuations at high resolution and signal - to - noise in five frequency bands .
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what is the final fate of a massive star that has exhausted its internal nuclear fuel and which then undergoes a catastrophic gravitational collapse under the force of its own gravity ?
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a heegaard splitting of a closed and orientable 3-manifold @xmath0 is a decomposition @xmath1 of @xmath0 into a pair of handlebodies @xmath2 and @xmath3 along a closed surface @xmath4 . every 3-manifold
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compton scattering is one of the major physical processes that couples matter and radiation . its importance is often stressed in highly relativistic environments where large energy transfers occur : for example
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a _ totally positive _ matrix is a matrix with all positive minors . we extend this classical notion , as follows . define the _ totally nonnegative grassmannian _ @xmath0 as
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the complexity of the hadronic structure is one of the actual and topical fields of physics concerning the microscopic scale . different , complementary as well as competing experimental approaches are used
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ever since the discovery of the high proper motion of barnard s star ( @xcite ) , proper motion has proved to be an effective method to identify faint stars in the
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the theory of species and its applications to enumerative combinatorics was developed by joyal in @xcite and further advanced in @xcite . the basic theory of hopf monoids in species was laid
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white dwarf is the most common endpoint of stellar evolution , and many stars are born in binary systems with sufficiently small initial separations so that they go through one or more
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over the course of the past 140 years , the field of professional pure mathematics ( analysis in particular ) , and to a large extent also its professional historiography , have
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when we speak about free physical objects , e.g. classical particles , solid bodies , elementary particles , etc . , we always keep in mind that , although we consider them
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in 2014 costantino , geer and patureau introduced a new class of non - semisimple witten - reshetikhin - turaev type quantum invariants of closed 3-manifolds . the theory is indexed on
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there is little disagreement today that quantum chromodynamics ( qcd ) is the correct theory underlying strong - interaction physics . thus , the physics of nuclei is , in essence ,
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x - ray radiation has been , ever since its discovery over a century ago , one of the most effective tools to explore the properties of matter for a broad range
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being a continuation of @xcite , this article fully relies on the terminology and notation introduced in its predecessor , with which or , at least , with the first two sections
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[ sec : intro ] over the past two decades the orbital architecture of giant planets has expanded from a single order of magnitude in the solar system ( 530 au )
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giant elliptical galaxies at the centers of galaxy clusters , often called brightest cluster galaxies ( bcgs ) or cluster - central galaxies , are extreme systems that provide stringent tests for
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fomin s _ dual graded graphs _ @xcite , as well as their predecessors - stanley s _ differential posets _ @xcite , were invented as a tool to better understand the
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bose - einstein condensation ( bec ) ( bose , 1924 ; einstein , 1924 ) was observed in 1995 in a remarkable series of experiments on vapors of rubidium ( anderson
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much of what we know - or believe we understand - about the chemical evolution history of the universe depends upon the interpretation of the strong emission lines originating from hii regions
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it is well - known that elementary particles interact by four fundamental interactions : gravitation , electromagnetism , the weak interaction and the strong interaction . the framework of quantum field theory
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this thesis would have not been possible without the academic , financial and emotional support of many people and institutions . i mention them here though i am sure that i will
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granular conductors form a new class of artificial materials with tunable electronic properties controlled at the nanoscale and composed of close - packed granules varying in size from a few to hundred
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the sine - gordon equation in laboratory coordinates @xmath0 is a model for magnetic flux propagation in long superconducting josephson junctions @xcite , but perhaps may be most easily thought of as
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the dynamics of particles of finite inertia suspended in turbulent flows is a fundamental problem with applications ranging from industrial processes ( e.g. spray combustion engines ) to geophysical flows ( e.g.
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first passage percolation ( fpp ) was originally introduced by hammersley and welsh @xcite in 1965 as a model of fluid flow through a random medium . it has been a stage
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in the paper , we examine @xmath19-smooth real functions which can be computed ( in some new but natural meaning which is rigorously defined below ) on finite automata , i.e. ,
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let me first describe what led me to the questions answered below . let @xmath124 denote the category of associative unital rings , and for any field @xmath125 let @xmath126 denote the
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the phenomenon of superconductivity was discovered @xcite as a sudden drop of resistance to immeasurably small value . with the development of the topic it was realized that the superconducting phase transition
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a minimum spanning forest ( msf ) of an edge - weighted undirected graph @xmath9 is a forest consisting of msts of the connected components of @xmath9 . dynamic msf is one
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in cell biology , neuroscience , as well as the study of collective behavior of organisms , networks of interacting agents or elements orchestrate the cellular , organismal or group response to
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observations of accreting neutron stars in low - mass x - ray binaries ( lmxbs ) with the _ rossi x - ray timing explorer _ have revealed that the persistent x
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testing hypotheses on the covariance matrix of the disturbances in a regression model is an important problem in econometrics and statistics , a prime example being testing the hypothesis of uncorrelatedness of
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wireless systems require fundamental and crisp understanding of design principles and control mechanisms to efficiently manage network resources . resource allocation policies lie at the heart of wireless communication networks , since
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the paradigm of cosmic inflation @xcite is one of the main pillars of modern cosmology . not only does inflation account for the vast size of the observable universe and its high
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this article lays the ground for the development of a cohomological theory of sheaves of @xmath3-modules over a topos . the need for such a theory is obvious in tropical geometry and
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understanding galaxy formation and evolution requires observational information about hot , highly ionized gas in and near galaxies . numerical simulations of cosmological structure formation in the presence of cold dark matter
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this review treats probe diffusion and related methods of investigating polymer dynamics . in a probe diffusion experiment , a dilute dispersion of mesoscopic probe particles is mixed into a polymer solution
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discreteness is at the very heart of almost any many - particle system , if the processes under discussion involve length scales of the order of ( or not too large compared
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the last two decades have seen remarkable progress in understanding the so - called kpz universality class in ( 1 + 1 ) dimensions . this is a rather broad and somewhat
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higher developed organisms face the problem to store and retrieve a huge amount of genetic information and this in each cell separately . for instance , the human genom corresponds to 3
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every observable phenomenon may be tentatively seen as consisting in things varying in time owing to causal interactions of ones with others and , then , its analysis includes always a problem
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the proofs of the statements in the paper are technical . to enhance the readability of the paper , the paper is essentially split into two parts . the first part contains
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galaxies have a wide range of luminosities , colors , masses , sizes , surface brightnesses , morphologies , star formation histories and environments . this heterogeneity is not surprising , given
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while it is now generally accepted that quasars and active galactic nuclei ( agn ) are powered by the accretion of gas onto supermassive black holes in the centers of galaxies (
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the twin pillars of quantum field theory are locality and unitarity . these fundamental properties persist after wick rotation : locality manifests as factorization laws for correlation functions and unitarity manifests as
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interacting systems which tend to form spontaneously periodic structures can exhibit a remarkable variety of complex phenomena when they are driven by an external force over a disordered substrate . many of
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it is quite natural to expect that a categorification of quantum groups should exist . the strongest evidence in support of this conjecture is lusztig s important discovery of canonical bases which
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gamma - ray bursts ( grb ) are brief events occurring at an average rate of a few per day throughout the universe , which for a brief period of seconds completely
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the study of minimal representation - infinite @xmath0-algebras with @xmath0 an algebraically closed field was one of the central themes of the representation theory around 1984 with contributions by bautista , gabriel
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the 2010 eruption of the recurrent nova ( rn ) u scorpii was predicted by @xcite and discovered independently by b. g. harris and s. dvorak as part of an intense monitoring
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nonparametric constraints , often called shape restrictions , have played a central role in economics as both testable implications of classical theory and sufficient conditions for obtaining informative counterfactual predictions @xcite .
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there is little question that the computer has caused a profound change in society . at our fingertips are devices that are performing billions of computations a second , and the same
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the teichmller flow on the moduli spaces of translation surfaces acts as renormalization dynamics for interval exchange transformations and translation flows . the kontsevich - zorich cocycle describes how the homology of
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let @xmath5 be a separable complex hilbert space . first let us introduce some notation for various spaces of operators in @xmath5 : @xmath6{rl}\mathcal{c}(h):= & \text{closed , densely defined operators on $
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m3 ( ngc5272 : ra[2000 ] = 13:42:11 , dec[2000 ] = + 28:22:32 ) is one of the most important globular clusters of the galactic halo . it is located at
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natural processes proceed simultaneously on many different scales interacting with each other . this is especially important in astrophysics , where an astronomical observation or a hypothesized system can only be understood
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in @xcite , we introduced a general method which assigns to any system of fields on cobordisms and system of action functionals on these fields a positive topological field theory ( tft
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the galactic bulge is major component of the milky way ( mw ) galaxy , morphologically distinct from the disk and halo , composed of mostly old stars with an embedded bar
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the aim of this article is to review the recent development of ion trap quantum computing . the field evolved rapidly in the recent decade . thus the many facets of experimental
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the question of first - cause has been troubling to philosophers and scientists alike for over two thousand years . aristotle found this sufficiently troubling that he proposed avoiding it by having
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ever since the pioneering work of belavin , polyakov and zamolodchikov @xcite , two - dimensional conformal field theory has been at the forefront of much of the progress in modern mathematical
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globular clusters ( gcs ) , as single - age , single - metallicity objects , are excellent tracers of the formation history of their host galaxies , through their dynamics ,
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given a @xmath4-linear monoidal category @xmath5 , there are two ways to decategorify it to obtain an algebra . one may take the grothendieck group @xmath6 , or instead take the zeroth
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a finitely generated group is _ word hyperbolic _ @xcite if it acts properly and cocompactly on a metric space ( e.g. , its cayley graph ) satisfying a certain coarse geometric
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the simplest division of all cosmologies is into two broad classes : those postulating the eternal universe and those which postulate some origin of the universe , or at least the part
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let @xmath3 be a finite - dimensional affine algebraic group defined over a field @xmath4 of characteristic zero . for any ( discrete ) group @xmath5 , the set of all representations
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this paper concerns the @xmath0-module @xmath3 = a / \text{span}(\{ab - ba \mid a , b \in a\})$ ] ( also known as the zeroth hochschild homology , @xmath4 ) for certain
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massive stars exert a major influence on their immediate surroundings , and play a dominant role in the evolution of their host galaxies . wolf - rayet ( wr ) stars represent
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studying the dust properties in molecular clouds is important to understand the overall process of dust evolution between different phases , such as between the diffuse and the dense interstellar medium (
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the last decade has witnessed a proliferation in methodologies for numerically solving large - scale problems in electrostatics and electronic structure . the rapid growth has been driven by several factors .
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* abstract * + * 1 . introduction * + * 2 . miscellaneous : definitions , units , magnitudes , etc * + * 3 . theoretical preliminaries * 3.1 mean
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the eigenvalues of the adjacency matrix of a finite undirected graph , @xmath14 , are real and hence can be ordered @xmath15 where @xmath16 is the number of vertices in @xmath14 .
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an idea of dynamical symmetry breaking ( dsb ) was introduced by nambu and jona - lasinio in quantum field theory in ref . @xcite ( for modern reviews see , e.g.
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the two - fluid model as a phenomenological theory of superfluidity for he ii was a major conceptual breakthrough in quantum hydrodynamics since it gives an excellent account of the data in
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over the past decade or so two separate developments have occurred in computer science whose intersection promises to open a vast new area of research , an area extending far beyond the
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the theory of hilbert spaces plays a central role in contemporary mathematics with numerous applications for linear operators , partial differential equations , in nonlinear analysis , approximation theory , optimization theory
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classical novae form a subclass of the cataclysmic variable stars . they are semidetached binary star systems where a late - type roche - lobe - filling star transfers mass to a
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the 2013 nobel prize in physics was awarded to francois englert and peter higgs for their work in 1964 on the higgs mechanism , work that led in 2012 to the discovery
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the problem of motion , one of the cardinal problems of einstein s gravitation theory , has received continuous attention over the years . the early , classic works of lorentz -
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using the karl g. jansky very large array ( vla ) , the nrao vla sky survey ( nvss ) @xcite is a 1.4 ghz continuum survey covering the entire sky north
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this paper concerns a fundamental question in high - dimensional stochastic geometry : 1 . is it likely that a random subspace of fixed dimension does _ not _ intersect a given
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in the year 2000 the standard model was believed to be consistent with all known experimental facts ( except the possible existence of a neutrino mass ) . yet there are many
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x - ray binaries ( xrbs ) are stellar systems consisting of a compact object ( neutron star , black hole , white dwarf ) accreting material from a close companion star
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we study an operator @xmath7 in two dimensions , where @xmath2 is an integer , @xmath1 , @xmath3 is a quasi - periodic potential being a trigonometric polynomial : @xmath8 we assume
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the focus of this paper is on the class of ` unimodular ' measures on the space @xmath4 throughout the paper , _ all riemannian manifolds we consider are connected and complete
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* sle and its conformal markov property . * oded schramm s sle processes introduced in @xcite have deeply changed the way mathematicians and physicists understand critical phenomena in two dimensions .
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the study of li in open clusters provides invaluable information about physical processes occurring in the interiors of stars . this is because , inside stars , at t @xmath4 2.5 million
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the development of physics relied considerably on the copernician principle , which states that we are not living in a particular place in the universe and stating that the laws of physics
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