Results 1 to 10 of about 4,613,653 (271)
Gaussian Fluctuation for the Number of Particles in Airy, Bessel, Sine, and Other Determinantal Random Point Fields [PDF]
Journal of Statistical Physics, 2000 We prove the Central Limit Theorem for the number of eigenvalues near the spectrum edge for hermitian ensembles of random matrices. To derive our results, we use a general theorem, essentially due to Costin and Lebowitz, concerning the Gaussian fluctuation of the number of particles in random point fields with determinantal correlation functions.
Soshnikov, Alexander B.
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Tamagawa numbers and other invariants of pseudoreductive groups over global function fields [PDF]
Algebra & Number Theory, 2021 We study Tamagawa numbers and other invariants (especially Tate-Shafarevich sets) attached to commutative and pseudo-reductive groups over global function fields. In particular, we prove a simple formula for Tamagawa numbers of commutative groups and pseudo-reductive groups.
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WEIL NUMBERS GENERATED BY OTHER WEIL NUMBERS AND TORSION FIELDS OF ABELIAN VARIETIES [PDF]
Journal of the London Mathematical Society, 2006 Using properties of the Frobenius eigenvalues, we show that, in a precise sense, ``most'' isomorphism classes of (principally polarized) simple abelian varieties over a finite field are characterized up to isogeny by the sequence of their division fields, and a similar result for ``most'' isogeny classes. Some global cases are also treated.
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Heuristics on pairing-friendly abelian varieties [PDF]
, 2013 We discuss heuristic asymptotic formulae for the number of pairing-friendly abelian varieties over prime fields, generalizing previous work of one of the authors arXiv:math1107.0307Comment: Pages 6-7 rewritten, other minor changes ...
Boxall, John, Gruenewald, David
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Photometric, geometric and perceptual factors in illumination-independent lightness constancy [PDF]
, 2006 It has been shown that lightness constancy depends on the articulation of the visual field (Agostini & Galmonte, 1999). However, among researchers there is little agreement about the meaning of “articulation.” Beyond the terminological heterogeneity ...
Agostini, Tiziano, Soranzo, Alessandro
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Higher Spins in Hyperspace [PDF]
, 2014 We consider the Sp(2n) invariant formulation of higher spin fields on flat and curved backgrounds of constant curvature.In this formulation an infinite number of higher spin fields are packed into single scalar and spinor master fields (hyperfields ...
Florakis, Ioannis +2 more
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Designing and testing inflationary models with Bayesian networks [PDF]
, 2015 Even simple inflationary scenarios have many free parameters. Beyond the variables appearing in the inflationary action, these include dynamical initial conditions, the number of fields, and couplings to other sectors.
Easther, Richard +3 more
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Quantum inequalities for the free Rarita-Schwinger fields in flat spacetime
, 2003 Using the methods developed by Fewster and colleagues, we derive a quantum inequality for the free massive spin-${3\over 2}$ Rarita-Schwinger fields in the four dimensional Minkowski spacetime. Our quantum inequality bound for the Rarita-Schwinger fields
A. Everett +35 more
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Manuscripta Mathematica, 1992 The author extends Hasse's classical class number formula for biquadratic number fields to biquadratic dicyclic extensions over a totally real base field, which has odd class number, only one dyadic prime and units with independent signs. The proofs use the cohomological device of the ``exact hexagon'' developed by \textit{P. E.
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Generalised divisor sums of binary forms over number fields [PDF]
, 2016 Estimating averages of Dirichlet convolutions $1 \ast \chi$, for some real Dirichlet character $\chi$ of fixed modulus, over the sparse set of values of binary forms defined over $\mathbb{Z}$ has been the focus of extensive investigations in recent years,
Frei, Christopher, Sofos, Efthymios
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