Open Access
October 2016 The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures
Alexander I. Bufetov, Yanqi Qiu
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Ark. Mat. 54(2): 403-435 (October 2016). DOI: 10.1007/s11512-016-0230-x

Abstract

The main result of this paper, Theorem 1.5, gives explicit formulae for the kernels of the ergodic decomposition measures for infinite Pickrell measures on the space 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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Alexander I. Bufetov. Yanqi Qiu. "The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures." Ark. Mat. 54 (2) 403 - 435, October 2016. https://doi.org/10.1007/s11512-016-0230-x

Information

Received: 22 January 2015; Revised: 8 September 2015; Published: October 2016
First available in Project Euclid: 30 January 2017

zbMATH: 1365.37005
MathSciNet: MR3546359
Digital Object Identifier: 10.1007/s11512-016-0230-x

Rights: 2016 © Institut Mittag-Leffler

Vol.54 • No. 2 • October 2016
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