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May 2020 Operator limit of the circular beta ensemble
Benedek Valkó, Bálint Virág
Ann. Probab. 48(3): 1286-1316 (May 2020). DOI: 10.1214/19-AOP1391

Abstract

We provide a precise coupling of the finite circular beta ensembles and their limit process via their operator representations. We prove explicit bounds on the distance of the operators and the corresponding point processes. We also prove an estimate on the beta-dependence of the $\operatorname{Sine}_{\beta }$ process.

Citation

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Benedek Valkó. Bálint Virág. "Operator limit of the circular beta ensemble." Ann. Probab. 48 (3) 1286 - 1316, May 2020. https://doi.org/10.1214/19-AOP1391

Information

Received: 1 February 2018; Revised: 1 July 2019; Published: May 2020
First available in Project Euclid: 17 June 2020

zbMATH: 07226361
MathSciNet: MR4112715
Digital Object Identifier: 10.1214/19-AOP1391

Subjects:
Primary: 47B80, 60B20
Secondary: 47E05

Rights: Copyright © 2020 Institute of Mathematical Statistics

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Vol.48 • No. 3 • May 2020
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