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From Noncommutative Geometry to Random Matrix Theory
Hamed Hessam, Masoud Khalkhali, Nathan Pagliaroli +1
We review recent progress in the analytic study of random matrix models suggested by noncommutative geometry. One considers fuzzy spectral triples where the space of possible Dirac…
Spectral Statistics of Dirac Ensembles
Masoud Khalkhali, Nathan Pagliaroli
In this paper we find spectral properties in the large limit of Dirac operators that come from random finite noncommutative geometries. In particular for a Gaussian potential t…
Bootstrapping Dirac Ensembles
Hamed Hessam, Masoud Khalkhali, Nathan Pagliaroli
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 a…