The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures
Functional Analysis
2014-02-24 v1 Dynamical Systems
Probability
Representation Theory
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.
Keywords
Cite
@article{arxiv.1402.5230,
title = {The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures},
author = {Alexander I. Bufetov and Yanqi Qiu},
journal= {arXiv preprint arXiv:1402.5230},
year = {2014}
}
Comments
45 pages