The Oxford handbook of random matrix theory

The Oxford handbook of random matrix theory / edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco.

Random matrix theory is applied by physicists and mathematicians to understand phenomena in nature and deep mathematical structures. This book offers a comprehensive look at random matrix theory by leading researchers, including applications inside and outside of physics and mathematics.

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Bibliographic Details
Other Authors: Akemann, Gernot (Editor), Baik, Jinho, 1973- (Editor), Di Francesco, Philippe (Editor)
Format: eBook
Language:English
Published: Oxford : Oxford University Press, 2018.
Series:Oxford handbooks online.
Subjects:
Random matrices.
MATHEMATICS > Applied.
MATHEMATICS > Reference.
Random matrices
Online Access:Click for online access
Table of Contents:
  • Guide to the Handbook / Gernot Akemann, Jinho Baik, Philippe Di Francesco
  • Painleve Transcendents / Alexander R. Its
  • Random Matrices and Integrable Systems / Pierre van Moerbeke
  • Determinantal Point Processes / Alexei Borodin
  • Random Matrix Representations of Critical Statistics / Vladimir Kravtsov
  • Heavy-Tailed Random Matrices / Zdzislaw Burda, Jerzy Jurkiewicz
  • Phase Transitions / Giovanni Cicuta, Luca Molinari
  • Two-Matrix Models and Biorthogonal Polynomials / Marco Bertola
  • Loop Equation Method / Nicolas Orantin
  • Unitary Integrals and Related Matrix Models / Alexei Morozov
  • Non-Hermitian Ensembles / Boris Khoruzhenko, Hans-Jurgen Sommers
  • History / Oriol Bohigas, Hans Weidenmuller
  • Characteristic Polynomials / Edouard Brezin, Sinobu Hikami
  • Beta Ensembles / Peter Forrester
  • Wigner Matrices / Gerard Ben Arous, Alice Guionnet
  • Free Probability Theory / Roland Speicher
  • Random Banded and Sparse Matrices / Thomas Spencer
  • Number Theory / Jon Keating, Nina Snaith
  • Random Permutations / Grigori Olshanski
  • Enumeration of Maps / Jeremie Bouttier
  • Knot Theory / Paul Zinn-Justin, Jean-Bernard Zuber
  • Multivariate Statistics / Noureddine El Karoui
  • Symmetry Classes / Martin R. Zirnbauer
  • Algrebraic Geometry / Leonid Chekhov
  • Two-Dimensional Quantum Gravity / Ivan Kostov
  • String Theory / Marcos Marino
  • Quantum Chromodynamics / Jac Verbaarschot
  • Quantum Chaos and Quantum Graphs / Sebastian Muller, Martin Sieber
  • Resonance Scattering in Chaotic Systems / Yan Fyodorov, Dmitry Savin
  • Condensed Matter Physics / Carlo W.J. Beenakker
  • Optics / Carlo W.J. Beenakker
  • Extreme Eigenvalues of Wishart Matrices and Entangled Bipartite System / Satya N. Majumdar
  • Random Growth Models / Patrik L. Ferrari, Herbert Spohn
  • Forward / Freeman Dyson
  • Laplacian Growth / Anton Zabrodin
  • Financial Applications / Jean-Phillipe Bouchaud, Marc Potters
  • Information Theory / Antonia Tulino, Sergio Verdu
  • Ribonucleic Acid Folding / Graziano Vernizzi, Henri Orland
  • Complex Networks / Geoff Rodgers, Taro Nagao
  • Spectral Statisitics of Unitary Emsembles / Greg W. Anderson
  • Spectral Statistics of Orthogonal and Symplectic Ensembles / Mark Adler
  • Universality / Arno Kuijlaars
  • Supersymmetry / Thomas Guhr
  • Replica Approach / Eugene Kanzieper.

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