Large deviations for empirical measures of mean-field Gibbs measures

DOI10.1016/j.spa.2019.01.008zbMath1471.60038arXiv1804.02071OpenAlexW2795649371MaRDI QIDQ2289794

Wei Liu, Li-ming Wu

Publication date: 24 January 2020

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02071

zbMATH Keywords

large deviations\(U\)-statisticsinteracting particle systemsempirical measureMcKean-Vlasov equationmean-field Gibbs measure

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)

Related Items (11)

Large deviations in the quantum quasi-1D jellium ⋮ Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems ⋮ Poisson statistics for beta ensembles on the real line at high temperature ⋮ Large and moderate deviation principles for McKean-Vlasov SDEs with jumps ⋮ Gaussian fluctuations for interacting particle systems with singular kernels ⋮ Scaling limit of moderately interacting particle systems with singular interaction and environmental noise ⋮ Asymptotic behaviors of small perturbation for multivalued Mckean-Vlasov stochastic differential equations ⋮ Reflecting image-dependent SDEs in Wasserstein space and large deviation principle ⋮ Poisson statistics for Gibbs measures at high temperature ⋮ An asymptotic thin shell condition and large deviations for random multidimensional projections ⋮ Quantitative approximate independence for continuous mean field Gibbs measures

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