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arXiv · 1707.07571

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

Martina Dal Borgo·Emma Hovhannisyan·Alain Rouault
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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.

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Martina Dal Borgo, Emma Hovhannisyan, Alain Rouault. 2017-07-24. Asymptotic properties of the density of particles in $\beta$-ensembles. https://doi.org/10.1007/s10955-017-1936-2

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