Operator limit of the circular beta ensemble

2017/10/19 by Benedek Valkó, Bálint Virág · 1 citation
Mathematics · #math.PR

paper · pdf · doi:10.1214/19-aop1391

published as Annals of Probability 2020, Vol. 48, No. 3, 1286-1316 · 31 pages, 1 figure

arxiv created 2017/10/19 · arxiv updated 2020/06/18

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 in the Sine_β process.

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