Local Spectral Statistics of Gaussian Matrices with Correlated Entries

被引：17

作者：

Ajanki, Oskari H. ^{[1
]}

Erdos, Laszlo ^{[1
]}

Kruger, Torben ^{[1
]}

机构：

[1] IST Austria, Klosterneuburg, Austria

来源：

JOURNAL OF STATISTICAL PHYSICS | 2016年 / 163卷 / 02期

基金：

欧洲研究理事会;

关键词：

Dependent random matrix; Universality; Local law; Off-diagonal resolvent decay; EIGENVALUE DISTRIBUTION; LAW;

D O I：

10.1007/s10955-016-1479-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove optimal local law, bulk universality and non-trivial decay for the off-diagonal elements of the resolvent for a class of translation invariant Gaussian random matrix ensembles with correlated entries.

引用

页码：280 / 302

页数：23

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