Results 11 to 20 of about 2,230,753 (183)
Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices [PDF]
, 2010 We apply the method of skew-orthogonal polynomials (SOP) in the complex plane to asymmetric random matrices with real elements, belonging to two different classes. Explicit integral representations valid for arbitrary weight functions are derived for the
Akemann, G, Kieburg, M, Phillips, M J
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Power-law deformation of wishart-laguerre ensembles of random matrices [PDF]
, 2008 We introduce a one-parameter deformation of the Wishart-Laguerre or chiral ensembles of positive definite random matrices with Dyson index beta=1,2 and 4.
Akemann, G, Vivo, P
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Transportation of measure, Young diagrams and random matrices. [PDF]
, 2004 The theory of transportation of mesure for general cost functions is used to obtain a novel logarithmic Sobolev inequality for measures on phase spaces of high dimension and hence a concentration of measure inequality.
Blower, Gordon
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Volumes And Random Matrices [PDF]
The Quarterly Journal of Mathematics, 2021 AbstractThis article is an introduction to newly discovered relations between volumes of moduli spaces of Riemann surfaces or super Riemann surfaces, simple models of gravity or supergravity in two dimensions, and random matrix ensembles. (The article is based on a lecture at the conference on the Mathematics of Gauge Theory and String Theory ...
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Products of random matrices [PDF]
Physical Review E, 2002 9 pages, 1 ...
Jackson, A. D. +3 more
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Broadcasting with Random Matrices
CoRR, 2023 Motivated by the theory of spin-glasses in physics, we study the so-called reconstruction problem for the related distributions on the tree, and on the sparse random graph $G(n,d/n)$. Both cases, reduce naturally to studying broadcasting models on the tree, where each edge has its own broadcasting matrix, and this matrix is drawn independently from a ...
Efthymiou, Charilaos, Zampetakis, Kostas
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The discrepancy of random rectangular matrices [PDF]
Random Structures & Algorithms, 2021 AbstractA recent approach to the Beck–Fiala conjecture, a fundamental problem in combinatorics, has been to understand when random integer matrices have constant discrepancy. We give a complete answer to this question for two natural models: matrices with Bernoulli or Poisson entries.
Dylan J. Altschuler, Jonathan Niles-Weed
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Replicas for random matrices [PDF]
International Journal of Modern Physics A, 2022 We discuss the use of the replica ansatz in computing free energies in random matrix theory and confirm a conjectured condition on analytic continuation in the replica index at large-[Formula: see text].
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The chiral Gaussian two-matrix ensemble of real asymmetric matrices [PDF]
, 2009 We solve a family of Gaussian two-matrix models with rectangular Nx(N+nu) matrices,having real asymmetric matrix elements and depending on a non-Hermiticity parameter mu.
Akemann, G, Phillips, MJ, Sommers, HJ
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