Corpus ID: 237940136

Spectral Statistics of Dirac Ensembles

  title={Spectral Statistics of Dirac Ensembles},
  author={Masoud Khalkhali and Nathan Pagliaroli},
In this paper we find spectral properties in the large N limit of Dirac operators that come from random finite noncommutative geometries. In particular for a Gaussian potential the limiting eigenvalue spectrum is shown to be universal regardless of the geometry and is given by the convolution of the semicircle law with itself. For simple non-Gaussian models this convolution property is also evident. In order to prove these results we show that a wide class of multi-trace multimatrix models have… Expand
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