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
收藏
页码：280 / 302
页数：23
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