Rank One Non-Hermitian Perturbations of Hermitian β-Ensembles of Random Matrices

被引：0
|
作者：
Kozhan, Rostyslav [1 ]
机构：
[1] Uppsala Univ, Dept Math, Box 480, S-75106 Uppsala, Sweden
来源：
JOURNAL OF STATISTICAL PHYSICS | 2017年 / 168卷 / 01期
关键词：
Non-Hermitian random matrices; beta-Ensembles; Resonances; Jacobi matrices; QUANTUM CHAOTIC SCATTERING; OVERLAPPING RESONANCES; POLES; STATISTICS; UNITARY; SYSTEMS;
D O I：
10.1007/s10955-017-1792-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We provide a tridiagonal matrix model and compute the joint eigenvalue density of a rank one non-Hermitian perturbation of a random matrix from the Gaussian or Laguerre beta-ensemble.
引用
收藏
页码：92 / 108
页数：17
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