Work

Conformal Deformation from Normal to Hermitian Random Matrix Ensembles

Year: 2009

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0909.0978

Authors: Veneziani, Alexei M., Pereira, Tiago, Marchetti, Domingos H. U.

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1654795292

Cites: 4

Cited by:

Related to: 10