Conformal Deformation from Normal to Hermitian Random Matrix Ensembles
Probability
2009-09-08 v1 Mathematical Physics
math.MP
Abstract
We investigate the eigenvalues statistics of ensembles of normal random matrices when their order N tends to infinite. In the model the eigenvalues have uniform density within a region determined by a simple analytic polynomial curve. We study the conformal deformations of normal random ensembles to Hermitian random ensembles and give sufficient conditions for the latter to be a Wigner ensemble.
Cite
@article{arxiv.0909.0978,
title = {Conformal Deformation from Normal to Hermitian Random Matrix Ensembles},
author = {Alexei M. Veneziani and Tiago Pereira and Domingos H. U. Marchetti},
journal= {arXiv preprint arXiv:0909.0978},
year = {2009}
}
Comments
23 pages