Poisson statistics for Gibbs measures at high temperature

DOI10.1214/20-AIHP1080zbMath1473.60019arXiv1912.10261OpenAlexW3136727950MaRDI QIDQ2041799

Gaultier Lambert

Publication date: 23 July 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10261

zbMATH Keywords

large deviationsPoisson statisticsbeta-ensembles and Coulomb gasstatistical mechanics of particle systemsthermal equilibrium measure

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Extreme value theory; extremal stochastic processes (60G70) Large deviations (60F10) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Statistical mechanics of gases (82D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (7)

Poisson statistics for beta ensembles on the real line at high temperature ⋮ Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation ⋮ Limit theorems for moment processes of beta Dyson’s Brownian motions and beta Laguerre processes ⋮ Large deviations for Ablowitz-Ladik lattice, and the Schur flow ⋮ Beta Jacobi ensembles and associated Jacobi polynomials ⋮ Coulomb Gases Under Constraint: Some Theoretical and Numerical Results ⋮ Concentration inequality around the thermal equilibrium measure of Coulomb gases

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