Random characteristics for Wigner matrices

被引：0

作者：

Soosten ^{[1
]}

Warzel, Simone ^{[2
,3
]}

机构：

[1] Harvard Univ, Cambridge, MA 02138 USA

[2] MCQST, Munich, Germany

[3] Tech Univ Munich, Munich, Germany

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2019年 / 24卷

关键词：

local semicircle law; random characteristics; Wigner matrices; DELOCALIZATION;

D O I：

10.1214/19-ECP278

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 extend the random characteristics approach to Wigner matrices whose entries are not required to have a normal distribution. As an application, we give a simple and fully dynamical proof of the weak local semicircle law in the bulk.

引用

页数：12

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