Ewens Measures on Compact Groups and Hypergeometric Kernels

DOI10.1007/978-3-642-15217-7_15zbMath1228.60011arXiv0712.0848OpenAlexW1769101025MaRDI QIDQ3086807

Paul Bourgade, Ashkan Nikeghbali, Alain Rouault

Publication date: 30 March 2011

Published in: Séminaire de Probabilités XLIII (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0848

zbMATH Keywords

unitary groupHaar measurecorrelation kernelHua-Pickrell measuresEwens measure

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (7)

Conditional Haar measures on classical compact groups ⋮ Truncations of random unitary matrices drawn from Hua-Pickrell distribution ⋮ Characteristic polynomials of random truncations: Moments, duality and asymptotics ⋮ Limit theorems for orthogonal polynomials related to circular ensembles ⋮ Infinite random matrices \& ergodic decomposition of finite and infinite Hua-Pickrell measures ⋮ Two universality results for polynomial reproducing kernels ⋮ Random orthogonal matrices and the Cayley transform

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