OPERATOR LIMIT OF THE CIRCULAR BETA ENSEMBLE
成果类型：
Article
署名作者：
Valko, Benedek; Virag, Balint
署名单位：
University of Wisconsin System; University of Wisconsin Madison; University of Toronto
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/19-AOP1391
发表日期：
2020
页码：
1286-1316
关键词：
摘要：
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 Sine(beta) process.
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