Large Deviation Theorem for Zeros of Polynomials and Hermitian Random Matrices

被引：2

作者：

Dinh, Tien-Cuong ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, 10 Lower Kent Ridge Rd, Singapore 119076, Singapore

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2020年 / 30卷 / 03期

关键词：

Logarithmic potential; Large deviation theorem; Hermitian random matrix; Semi-circular law; BULK UNIVERSALITY; WIGNER; EIGENVALUES; STATISTICS;

D O I：

10.1007/s12220-017-9951-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give abstract versions of the large deviation theorem for the distribution of zeros of polynomials and apply them to the characteristic polynomials of Hermitian random matrices. We obtain new estimates related to the local semi-circular law for the empirical spectral distribution of these matrices when the 4th moments of their entries are controlled.

引用

页码：2558 / 2580

页数：23

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