8 papers · 1 filter
Large-scale concentration and relaxation for mean-field Langevin particle systems
Songbo Wang
We study the Langevin dynamics of diffusive particles with regular pairwise interactions under mean-field scaling. By approximating empirical distributions with conditional distrib…
Size of chaos for Gibbs measures of mean field interacting diffusions
Zhenjie Ren, Songbo Wang
We investigate Gibbs measures for diffusive particles interacting through a two-body mean field energy. By identifying a gradient structure for the conditional law, we derive sharp…
Uniform log-Sobolev inequalities for mean field particles with flat-convex energy
Songbo Wang
The purpose of this short note is to demonstrate uniform logarithmic Sobolev inequalities for the mean field gradient particle systems associated to an energy functional that is co…
Sharp local propagation of chaos for mean field particles with kernels
Songbo Wang
We present two methods to obtain local propagation of chaos bounds for diffusive particles in mean field interaction. This extends the recent finding…
Time-uniform log-Sobolev inequalities and applications to propagation of chaos
Pierre Monmarché, Zhenjie Ren, Songbo Wang
Time-uniform log-Sobolev inequalities (LSI) satisfied by solutions of semi-linear mean-field equations have recently appeared to be a key tool to obtain time-uniform propagation of…
Self-interacting approximation to McKean-Vlasov long-time limit: a Markov chain Monte Carlo method
Kai Du, Zhenjie Ren, Florin Suciu +1
For a certain class of McKean-Vlasov processes, we introduce proxy processes that substitute the mean-field interaction with self-interaction, employing a weighted occupation measu…