Conformal Deformation from Normal to Hermitian Random Matrix Ensembles

Details Conformal Deformation from Normal to Hermitian Random Matrix Ensembles Conformal Deformation from Normal to Hermitian Random Matrix Ensembles

2009-09-04

arxiv.org/abs/0909.0978v1

Mathematics

Probability

23 pages

Scientific paper

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.

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