Conformal Deformation from Normal to Hermitian Random Matrix Ensembles

نویسندگان

  • A. M. Veneziani
  • T. Pereira
  • D. H. U. Marchetti
چکیده

We investigate the eigenvalues statistics of ensembles of normal randommatrices 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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تاریخ انتشار 2009