The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures

DOI10.1007/s11512-016-0230-xzbMath1365.37005arXiv1402.5230OpenAlexW2964347414MaRDI QIDQ517233

Alexander I. Bufetov, Yanqi Qiu

Publication date: 23 March 2017

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5230

zbMATH Keywords

Christoffel-Uvarov deformationergodic decomposition measurePickrell measure

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General groups of measure-preserving transformations (28D15) Measures on groups and semigroups, etc. (43A05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (7)

Infinite 𝑝-adic random matrices and ergodic decomposition of 𝑝-adic Hua measures ⋮ Hua-Pickrell diffusions and Feller processes on the boundary of the graph of spectra ⋮ On a distinguished family of random variables and Painlevé equations ⋮ Explicit Expressions of the Hua--Pickrell Semigroup ⋮ A matrix Bougerol identity and the Hua-Pickrell measures ⋮ The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures ⋮ Ergodic decomposition for inverse Wishart measures on infinite positive-definite matrices

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