On some properties of the Gauss ensemble of random matrices: Integrable system

DOI10.1016/0196-8858(87)90011-XzbMath0657.58014MaRDI QIDQ1110872

Kazuhiko Aomoto

Publication date: 1987

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

zbMATH Keywords

Frobenius integrable systemGaussian ensembles of random matrices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

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• Configurations and invariant Gauss-Manin connections of integrals. I
• Gauss-Manin connection of integral of difference products
• A method of integration over matrix variables
• Asymptotic values for degrees associated with strips of Young diagrams
• Jacobi Polynomials Associated with Selberg Integrals
• Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews
• Some Conjectures for Root Systems

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