Deviation probabilities for extremal eigenvalues of large Chiral non-Hermitian random matrices

被引：0

作者：

Ma, Yutao ^{[1
,2
]}

Wang, Siyu ^{[1
,2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Beijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

FORUM MATHEMATICUM | 2025年 / 37卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Deviation probability; moderate deviation probability; non-Hermitian random matrix; large chiral random matrix;

D O I：

10.1515/forum-2023-0253

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the chiral non-Hermitian random matrix ensemble with parameters n and v, and let (zeta i)(1 <= i <= n )be its n eigenvalues with positive x-coordinate. In this paper, we establish deviation probabilities and moderate deviation probabilities for the spectral radius (n/n+v)(1/2 )max(1 <= i <= n)|zeta(i)|(2) , as well as (n/n+v)(1/2 )min(1 <= i <= n)|zeta(i)|(2).

引用

页码：717 / 746

页数：30

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