34 citations · 41 across the 7 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2021
Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems
Arnaud Guillin, Pierre Le Bris, Pierre Monmarché
In this article, we adapt the work of Jabin and Wang (2018) to show the first result of uniform in time propagation of chaos for a class of singular interaction kernels. In particu…
math.PR2020★ 34 cited
Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes
Arnaud Guillin, Pierre Monmarché
Combining the results of [14] and [10], the trend to equilibrium in large time is studied for a large particle system associated to a Vlasov-Fokker-Planck equation. Under some cond…
math.PR2015
Hypocoercivity in metastable settings and kinetic simulated annealing
Pierre Monmarché
Combining classical arguments for the analysis of the simulated annealing algorithm with the more recent hypocoercive method of distorted entropy, we prove the convergence for larg…