3 citations · 4 across the 2 of their papers we have counts for
4 papers · 1 filter
On systems of particles in singular repulsive interaction in dimension one : log and Riesz gas
Arnaud Guillin, Pierre Le Bris, Pierre Monmarché
In this article, we prove the first quantitative uniform in time propagation of chaos for a class of systems of particles in singular repulsive interaction in dimension one that co…
Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases
Arnaud Guillin, Pierre Le Bris, Pierre Monmarché
We prove the existence of a contraction rate for Vlasov-Fokker-Planck equation in Wasserstein distance, provided the interaction potential is (locally) Lipschitz continuous and the…
Geometric ergodicity of the bouncy particle sampler
Alain Durmus, Arnaud Guillin, Pierre Monmarché
The Bouncy Particle Sampler (BPS) is a Monte Carlo Markov Chain algorithm to sample from a target density known up to a multiplicative constant. This method is based on a kinetic p…
Entropic multipliers method for langevin diffusion and weighted log sobolev inequalities
Patrick Cattiaux, Arnaud Guillin, Pierre Monmarché +1
In his work about hypocercivity, Villani [18] considers in particular convergence to equilibrium for the kinetic Langevin process. While his convergence results in L 2 are given in…