OPERATOR LIMIT OF THE CIRCULAR BETA ENSEMBLE

被引：9
作者：
Valko, Benedek [1 ]
Virag, Balint [2 ]
机构：
[1] Univ Wisconsin Madison, Dept Math, Madison, WI 53706 USA
[2] Univ Toronto, Dept Math, Toronto, ON, Canada
来源：
ANNALS OF PROBABILITY | 2020年 / 48卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Random matrices; random operators; coupling;
D O I：
10.1214/19-AOP1391
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
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.
引用
收藏
页码：1286 / 1316
页数：31
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