Fox H-kernel and θ-deformation of the Cauchy Two-Matrix Model and Bures Ensemble

DOI10.1093/imrn/rnz028zbMath1493.60013arXiv1811.03183OpenAlexW2964214878MaRDI QIDQ3382628

Shi-Hao Li, Peter J. Forrester

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.03183

zbMATH Keywords

Bures ensembleMuttalib-Borodin ensemble

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

Integrable lattice hierarchies behind Cauchy two-matrix model and Bures ensemble ⋮ Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices ⋮ Quantum interpolating ensemble: Bi-orthogonal polynomials and average entropies ⋮ Unnamed Item

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