Skew orthogonal polynomials for the real and quaternion real Ginibre ensembles and generalizations

DOI10.1088/1751-8113/46/24/245203zbMath1279.15028arXiv1302.2638OpenAlexW3100846283MaRDI QIDQ2839465

Peter J. Forrester

Publication date: 11 July 2013

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

Full work available at URL: https://arxiv.org/abs/1302.2638

zbMATH Keywords

eigenvaluerandom matrixJack polynomialsquaternionSelberg integralGinibre ensemblespoint correlation function

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Related Items (6)

Spherical induced ensembles with symplectic symmetry ⋮ Selberg integral theory and Muttalib-Borodin ensembles ⋮ An induced real quaternion spherical ensemble of random matrices ⋮ Real eigenvalue statistics for products of asymmetric real Gaussian matrices ⋮ Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels ⋮ Raney distributions and random matrix theory

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