# Spectral Statistics of Dirac Ensembles

@inproceedings{Khalkhali2021SpectralSO, title={Spectral Statistics of Dirac Ensembles}, author={Masoud Khalkhali and Nathan Pagliaroli}, year={2021} }

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

#### One Citation

Bootstrapping Dirac Ensembles

- Physics, Mathematics
- 2021

We apply the bootstrap technique to find the moments of certain multi-trace and multi-matrix random matrix models suggested by noncommutative geometry. Using bootstrapping we are able to find the… Expand

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