Asymptotic properties of the density of particles in $\beta$-ensembles

Abstract

We extend recent results on the Asymptotic Equipartition Property for the density of $n$ particles in $\beta$-ensembles, as $n$ tends to infinity. We prove the Large Deviation Principle of the log-density for a general potential and the mod-gaussian convergence in the classical examples.

arXiv comment26 pages

References in corpus (6)

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