Results 11 to 20 of about 167,620 (262)
Products of random matrices [PDF]
Physical Review E, 2002 9 pages, 1 ...
Jackson, A. D. +3 more
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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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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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Tridiagonalizing random matrices
Physical Review D, 2023 The Hungarian physicist Eugene Wigner introduced random matrix models in physics to describe the energy spectra of atomic nuclei. As such, the main goal of random matrix theory (RMT) has been to derive the eigenvalue statistics of matrices drawn from a given distribution.
Vijay Balasubramanian +2 more
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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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QCD Effective Locality: A Theoretical and Phenomenological Review
Universe, 2021 About ten years ago, the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green’s functions of QCD and dubbed Effective Locality.
Herbert M. Fried +3 more
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Rooted trees and moments of large sparse random matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 In these expository paper we describe the role of the rooted trees as a base for convenient tools in studies ofrandom matrices. Regarding the Wigner ensemble of random matrices, we represent main ingredients ofthis approach.
Oleksiy Khorunzhiy
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Stochastic differential equations for random matrices processes in the nonlinear framework [PDF]
Opuscula Mathematica, 2018 In this paper, we investigate the processes of eigenvalues and eigenvectors of a symmetric matrix valued process \(X_{t}\), where \(X_{t}\) is the solution of a general SDE driven by a \(G\)-Brownian motion matrix.
Sara Stihi +2 more
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