Nonhermitean Random Matrix Models : a Free Random Variable Approach
高能物理 - 唯象学
2009-10-28 v1 chao-dyn
凝聚态物理
高能物理 - 理论
混沌动力学
核理论
摘要
Using the standard concepts of free random variables, we show that for a large class of nonhermitean random matrix models, the support of the eigenvalue distribution follows from their hermitean analogs using a conformal transformation. We also extend the concepts of free random variables to the class of nonhermitean matrices, and apply them to the models discussed by Ginibre-Girko (elliptic ensemble) and Mahaux-Weidenm\"uller (chaotic resonance scattering).
引用
@article{arxiv.hep-ph/9609491,
title = {Nonhermitean Random Matrix Models : a Free Random Variable Approach},
author = {Romuald A. Janik and Maciej A. Nowak and Gabor Papp and Jochen Wambach and Ismail Zahed},
journal= {arXiv preprint arXiv:hep-ph/9609491},
year = {2009}
}
备注
7 pages LaTeX, 1 EPS figure