Uniform Long-Time and Propagation of Chaos Estimates for Mean Field Kinetic Particles in Non-convex Landscapes
نویسندگان
چکیده
Combining the results of Guillin (Uniform Poincaré and logarithmic Sobolev inequalities for mean field particles systems, 2019) Monmarché (Stoch Process Appl 127(6):1721–1737, 2017), trend to equilibrium in large time is studied a particle system associated Vlasov–Fokker–Planck equation. Under some conditions (that allow non-convex confining potentials) convergence rate proven be independent from number particles. From this are derived uniform propagation chaos estimates an exponentially fast nonlinear equation itself.
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2021
ISSN: ['0022-4715', '1572-9613']
DOI: https://doi.org/10.1007/s10955-021-02839-6