Nonhermitean Random Matrix Models : a Free Random Variable Approach
High Energy Physics - Phenomenology
2009-10-28 v1 chao-dyn
Condensed Matter
High Energy Physics - Theory
Chaotic Dynamics
Nuclear Theory
Abstract
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).
Cite
@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}
}
Comments
7 pages LaTeX, 1 EPS figure