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Article Dans Une Revue Markov Processes And Related Fields Année : 2021

A local CLT for linear statistics of 2D Coulomb gases

Résumé

We prove a local central limit theorem for fluctuations of linear statistics of smooth enough test functions under the canonical Gibbs measure of two-dimensional Coulomb gases at any positive temperature. The proof relies on the existing global central limit theorem and a new decay estimate for the characteristic function of such fluctuations.

Dates et versions

hal-03432412 , version 1 (17-11-2021)

Identifiants

Citer

Thomas Leblé, Ofer Zeitouni. A local CLT for linear statistics of 2D Coulomb gases. Markov Processes And Related Fields, 2021, 27 (4). ⟨hal-03432412⟩
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