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

2014/02/21 by Alexander I. Bufetov, Bufetov, Alexander I., Yanqi Qiu +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #Random Matrices and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1402.5230

openalex publication_date 2014/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main result of this paper, Theorem 1.1, gives explicit formulae for the kernels of the ergodic decomposition measures for infinite Pickrell measures on spaces of infinite complex matrices. The kernels are obtained as the scaling limits of Christoffel-Uvarov deformations of Jacobi orthogonal polynomial ensembles.

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