Increasing propagation of chaos for mean field models

DOI10.1016/S0246-0203(99)80006-5zbMath0928.60092WikidataQ126780602 ScholiaQ126780602MaRDI QIDQ1282374

Gérard Ben Arous, Ofer Zeitouni

Publication date: 9 January 2000

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

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1999__35_1_85_0

zbMATH Keywords

entropymean field modelspropagation of chaos

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic processes (60G99)

Related Items (12)

On a strong form of propagation of chaos for McKean-Vlasov equations ⋮ On the convergence of closed-loop Nash equilibria to the mean field game limit ⋮ Convergence to the equilibria for self-stabilizing processes in double-well landscape ⋮ When does the chaos in the Curie-Weiss model stop to propagate? ⋮ Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions ⋮ Exponential ergodicity and propagation of chaos for path-distribution dependent stochastic Hamiltonian system ⋮ Self-stabilizing processes in multi-wells landscape in \(\mathbb{R}^d\)-invariant probabilities ⋮ Large deviation properties of weakly interacting processes via weak convergence methods ⋮ Logarithmic Sobolev inequalities for some nonlinear PDE's. ⋮ On Kac's chaos and related problems ⋮ Quantitative approximate independence for continuous mean field Gibbs measures ⋮ Propagation of chaos: a review of models, methods and applications. I: Models and methods

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