Evenness symmetry and inter-relationships between gap probabilities in random matrix theory

DOI10.1515/FORUM.2006.036zbMath1130.82311OpenAlexW1977993243MaRDI QIDQ3425510

Peter J. Forrester

Publication date: 26 February 2007

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2006.036

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Probabilistic measure theory (60A10) Random matrices (algebraic aspects) (15B52) Applications of hypergeometric functions (33C90)

Related Items

Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros, The singular values of the GOE, Singular values and evenness symmetry in random matrix theory, The singular values of the GUE (less is more), Tau-function theory of chaotic quantum transport with \(\beta = 1, 2, 4\), Truncated Hermite polynomials, The Jacobi-type polynomials and general Heun equations, Selberg integral theory and Muttalib-Borodin ensembles, Quantifying dip-ramp-plateau for the Laguerre unitary ensemble structure function, Statistics of the maximal distance and momentum in a trapped Fermi gas at low temperature, GUE-chGUE transition preserving chirality at finite matrix size, Painlevé II in random matrix theory and related fields

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