Propagation of chaos: a review of models, methods and applications. I: Models and methods

DOI10.3934/krm.2022017zbMath1496.82016arXiv2203.00446OpenAlexW4285197515MaRDI QIDQ2088752

Louis-Pierre Chaintron, A. Diez

Publication date: 6 October 2022

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00446

zbMATH Keywords

particle systemmean-field limitKac's chaosBoltzmann modelsMcKean-Vlasov

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Stochastic particle methods (65C35) PDEs in connection with mechanics of particles and systems of particles (35Q70) Mathematical modeling or simulation for problems pertaining to biology (92-10)

Related Items (10)

A class of dimension-free metrics for the convergence of empirical measures ⋮ Sharp uniform-in-time propagation of chaos ⋮ Recent progress on limit theorems for large stochastic particle systems ⋮ Uniform-in-time propagation of chaos for kinetic mean field Langevin dynamics ⋮ A Density Description of a Bounded-Confidence Model of Opinion Dynamics on Hypergraphs ⋮ Importance sampling for the empirical measure of weakly interacting diffusions ⋮ Propagation of chaos for topological interactions by a coupling technique ⋮ Global density equations for a population of actively switching particles ⋮ Sequential propagation of chaos for mean-field BSDE systems ⋮ Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases

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