Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions

DOI10.1090/tran/7957zbMath1432.15036arXiv1902.09042OpenAlexW2964518402WikidataQ115545726 ScholiaQ115545726MaRDI QIDQ5206273

Shi-Hao Li, Peter J. Forrester

Publication date: 18 December 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09042

zbMATH Keywords

discrete symplectic ensemble, skew orthogonal polynomial, correlation kernel

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other functions defined by series and integrals (33E20) Random matrices (algebraic aspects) (15B52)

Related Items

Laurent skew orthogonal polynomials and related symplectic matrices, Classical skew orthogonal polynomials in a two-component log-gas with charges \(+1\) and \(+2\), Relations between moments for the Jacobi and Cauchy random matrix ensembles, Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble, \(q\)-Pearson pair and moments in \(q\)-deformed ensembles, Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials

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