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GIAMBELLI AND DEGENERACY LOCUS FORMULAS FOR CLASSICAL G/P SPACES
LOCUS FORMULAS GIAMBELLI
2015/12/17
Let G be a classical complex Lie group, P any parabolic subgroup
of G, and X = G/P the corresponding homogeneous space, which parametrizes
(isotropic) partial flags of subspaces of a fix...
Let G be a classical complex Lie group, P any parabolic subgroup
of G, and G/P the corresponding partial flag variety. We prove an explicit
combinatorial Giambelli formula which expresses an a...
On the orthogonality of q-classical polynomials of the Hahn class II
q-polynomials orthogonal polynomials on q-linear lattices q-Hahn class Classical Analysis and ODEs
2011/9/5
Abstract: In this article, the study of the orthogonality properties of $q$-polynomials of the Hahn class started in the initial article by R. \'Alvarez-Nodarse, R. Sevinik-Ad{\i}g\"uzel, and H. Ta\c{...
On the orthogonality of q-classical polynomials of the Hahn class
q-polynomials orthogonal polynomials on q-linear lattices q-Hahn class Classical Analysis and ODEs
2011/9/5
Abstract: The central idea behind this article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the $q$-hypergeometric difference equation on a $q$-linear lat...
On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle
classical limit of quantum mechanics threat of fundamental graininess correspondence principle
2010/12/16
The aim of this paper is to review the classical limit of Quantum
Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introdu...
Quantum One-Way Communication is Exponentially Stronger Than Classical Communication
Quantum One-Way Communication Classical Communication
2010/12/15
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only O(log n) qubits, but for which any classical (randomized, bounded-error)
protocol requires po...
Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Entropic Fluctuations Statistical Mechanics I. Classical Dynamical Systems
2010/12/16
Within the abstract framework of dynamical system theory we describe a general approach to the
Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibr...
On a measure of non-compactness for some classical operators
measure of non-compactness maximal functions singular integrals embeddings weight
2007/12/13
The measure of non-compactness is estimated from below for various operators, including the Hardy--Littlewood maximal opera\-tor, the fractional maximal operator and the Hilbert transform, all acting ...