Green's Functions in Non-hermitian Random Matrix Models
无序系统与神经网络
2007-05-23 v1 chao-dyn
高能物理 - 唯象学
混沌动力学
摘要
We review some recent techniques for dealing with non-hermitian random matrix models based on generalized Green's functions. We introduce the diagrammatic methods in the hermitian case and generalize them to the non-hermitian case. The results are illustrated in terms of the eigenvalue distribution, eigenvector statistics and addition laws.
引用
@article{arxiv.cond-mat/9909085,
title = {Green's Functions in Non-hermitian Random Matrix Models},
author = {Romuald A. Janik and Maciej A. Nowak and Gabor Papp and Ismail Zahed},
journal= {arXiv preprint arXiv:cond-mat/9909085},
year = {2007}
}
备注
Based on talks by R.A. Janik at the CIRM workshop `Free probability and applications' Marseille 1998, and by M.A. Nowak at the MPI workshop on `Dynamics of Complex Systems' Dresden 1999. 8 pages, 3 figures, uses espcrc2.sty