Selberg integral theory and Muttalib-Borodin ensembles

DOI10.1016/j.aam.2017.11.004zbMath1381.33016arXiv1612.06517OpenAlexW2963250606MaRDI QIDQ1693349

Peter J. Forrester, Jesper R. Ipsen

Publication date: 31 January 2018

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06517

zbMATH Keywords

random matricesbiorthogonal polynomialsSchur polynomialsSelberg integral

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random matrices (algebraic aspects) (15B52)

Related Items

Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities, Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices, Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems, Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles, Lyapunov exponents for some isotropic random matrix ensembles, Matrix product ensembles of Hermite type and the hyperbolic Harish-Chandra-Itzykson-Zuber integral, Multiplicative convolution of real asymmetric and real anti-symmetric matrices

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