Asymptotic behavior for log-determinants of several non-Hermitian random matrices

被引：2
|
作者：
Chen, Lei
Wang, Shaochen [1 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2017年 / 12卷 / 04期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Log-determinants; Berry-Esseen bounds; moderate deviations; spherical ensembles; circular unitary ensembles; LAW;
D O I：
10.1007/s11464-017-0629-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the asymptotic behavior for log-determinants of two unitary but non-Hermitian random matrices: the spherical ensembles A (-1) B; where A and B are independent complex Ginibre ensembles and the truncation of circular unitary ensembles. The corresponding Berry-Esseen bounds and Cram,r type moderate deviations are established. Our method is based on the estimates of corresponding cumulants. Numerical simulations are also presented to illustrate the theoretical results.
引用
收藏
页码：805 / 819
页数：15
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