Title:
The Oxford handbook of random matrix theory / editors, Gernot Akemann, Jinho Baik, Philippe Di Francesco. Handbook of random matrix theory
Handbook of random matrix theory Handbook of random matrix theory
Main Entry:
Akemann, Gernot.
Baik, Jinho, 1973-
Di Francesco, Philippe.
Publisher:
Oxford University Press,
Publication Date:
2015.
Publication Place:
Oxford ; New York :
ISBN:
9780199574001
0199574006
Subject:
Random matrices -- Handbooks, manuals, etc.
MATHEMATICS -- Applied.
MATHEMATICS -- Reference.
Random matrices.
Handbooks and manuals.
Contents:
Introduction: Introduction and guide to the Handbook / History: an overview / Properties of Random Matrix Theory: Symmetry classes / Spectral statisitics of unitary emsembles / Spectral statistics of orthogonal and symplectic ensembles / Universality / Supersymmetry / Replica approach in random matrix theory / Painlevâe transcendents / Random matrix theory and Integrable systems / Determinantal point processes / Random matrix representations of critical statistics / Heavy-tailed random matrices / Phase transitions / Two-matrix models and biorthogonal polynomials / Chain of matricies, loop equations and topological recursion / Unitary integrals and related matrix models / Non-Hermitian ensembles / Characteristic polynomials / Beta ensembles / Wigner matrices / Free probability theory / Random banded and sparse matrices / Applications of Random Matrix Theory: Number theory / Random permutations and related topics / Enumeration of maps / Knot theory and matrix integrals / Multivariate statistics / Algrebraic geometry and matrix models / Two-dimensional quantum gravity / String theory / Quantum chromodynamics / Quantum chaos and quantum graphs / Resonance scattering of waves in chaotic systems / Condensed matter physics / Classical and quantum optics / Extreme eigenvalues of Wishart matrices: application to entangled bipartite system / Random growth models / Random matrices and Laplacian growth / Financial applications of random matrix theory: a short review / Asymptotic singular value distributions in information theory / Random matrix theory and ribonucleic acid (RNA) folding / Complex networks /
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Tafila Technical University
Reference
QA 188 .O94 2015
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