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- W2994633184 abstract "We consider a gas of N particles with a general two-body interaction and confined by an external potential in the mean field or high temperature regime, that is when the inverse temperature satisfies $beta N to kappa ge 0$ as $Nto+infty$. We show that under general conditions on the interaction and the potential, the local fluctuations are described by a Poisson point process in the large N limit. We present applications to Coulomb and Riesz gases on $mathbb{R}^n$ for any $nge 1$, as well as to the edge behavior of $beta$-ensembles on $mathbb{R}$." @default.
- W2994633184 created "2019-12-26" @default.
- W2994633184 creator A5078997994 @default.
- W2994633184 date "2019-12-21" @default.
- W2994633184 modified "2023-09-27" @default.
- W2994633184 title "Poisson statistics for Gibbs measures at high temperature" @default.
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