Conformal Deformation from Normal to Hermitian Random Matrix Ensembles

Alexei M. Veneziani; Tiago Pereira; Domingos H. U. Marchetti

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arXiv · 0909.0978

Conformal Deformation from Normal to Hermitian Random Matrix Ensembles

Alexei M. Veneziani·Tiago Pereira·Domingos H. U. Marchetti

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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.

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BibTeX RIS

Alexei M. Veneziani, Tiago Pereira, Domingos H. U. Marchetti. 2009-09-04. Conformal Deformation from Normal to Hermitian Random Matrix Ensembles. https://arxiv.org/abs/0909.0978

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