Infinite random matrices \& ergodic decomposition of finite and infinite Hua-Pickrell measures

DOI10.1016/j.aim.2017.01.003zbMath1407.60011arXiv1410.1167OpenAlexW2582274611MaRDI QIDQ507243

Yanqi Qiu

Publication date: 3 February 2017

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

Full work available at URL: https://arxiv.org/abs/1410.1167

zbMATH Keywords

orthogonal polynomialsrandom matricesdeterminantal point processergodic decompositionHua-Pickrell measuresinfinite determinantal measure

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (10)

Infinite 𝑝-adic random matrices and ergodic decomposition of 𝑝-adic Hua measures ⋮ Equivalence of palm measures for determinantal point processes governed by Bergman kernels ⋮ Joint moments of a characteristic polynomial and its derivative for the circular \(\beta \)-ensemble ⋮ Convergence and an explicit formula for the joint moments of the circular Jacobi \(\beta\)-ensemble characteristic polynomial ⋮ Hua-Pickrell diffusions and Feller processes on the boundary of the graph of spectra ⋮ On a distinguished family of random variables and Painlevé equations ⋮ The boundary of the orbital beta process ⋮ Moments of generalized Cauchy random matrices and continuous-Hahn polynomials ⋮ Ergodic decomposition for inverse Wishart measures on infinite positive-definite matrices ⋮ Random entire functions from random polynomials with real zeros

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