Difference system for Selberg correlation integrals

DOI10.1088/1751-8113/43/17/175202zbMath1188.81190arXiv1011.1650OpenAlexW3103415239MaRDI QIDQ3560990

Masahiko Ito, Peter J. Forrester

Publication date: 17 May 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1650

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Random matrices (algebraic aspects) (15B52)

Related Items (7)

Computable structural formulas for the distribution of the \(\beta\)-Jacobi edge eigenvalues ⋮ Optimal soft edge scaling variables for the Gaussian and Laguerre even \(\beta\) ensembles ⋮ \(q\)-difference systems for the Jackson integral of symmetric Selberg type ⋮ A Fuchsian matrix differential equation for Selberg correlation integrals ⋮ Recursion for the smallest eigenvalue density of \(\beta \)-Wishart-Laguerre ensemble ⋮ Linear differential equations for the resolvents of the classical matrix ensembles ⋮ Recursion scheme for the largest $\beta$ -Wishart–Laguerre eigenvalue and Landauer conductance in quantum transport

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