Integrals over the circular ensembles relating to classical domains

DOI10.1088/1751-8113/42/32/325204zbMath1183.82036OpenAlexW2015363835MaRDI QIDQ3649018

Jiping Song, Zhiming Feng

Publication date: 1 December 2009

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

Full work available at URL: https://doi.org/10.1088/1751-8113/42/32/325204

zbMATH Keywords

Jack polynomialsSelberg formulacircular ensembles

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52)

Related Items (6)

Selberg integral theory and Muttalib-Borodin ensembles ⋮ Characteristic polynomials of random truncations: Moments, duality and asymptotics ⋮ Gaussian diagrammatics from circular ensembles of random matrices ⋮ On canonical metrics on Cartan-Hartogs domains ⋮ Hilbert spaces of holomorphic functions on generalized Cartan–Hartogs domains ⋮ The weighted super Bergman kernels over the supermatrix spaces

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