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).
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页码：717 / 746
页数：30
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