5 papers
Convex order and increasing convex order for McKean-Vlasov processes with common noise
Armand Bernou, Théophile Le Gall, Yating Liu
We establish results on the conditional and standard convex order, as well as the increasing convex order, for two processes and $ Y = (Y_t)_{t \in [0,…
Mean-field approximation, Gibbs relaxation, and cross estimates
Armand Bernou, Mitia Duerinckx
We study the propagation of chaos and relaxation to Gibbs equilibrium for a system of classical Brownian particles with weak mean-field interactions. It is well known that prop…
Creation of chaos for interacting Brownian particles
Armand Bernou, Mitia Duerinckx, Matthieu Ménard
We consider a system of Brownian particles, with or without inertia, interacting in the mean-field regime via a weak, smooth, long-range potential, and starting initially from…
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles
Armand Bernou, Mitia Duerinckx
We consider a system of classical Brownian particles interacting via a smooth long-range potential in the mean-field regime, and we analyze the propagation of chaos in form of shar…
Asymptotic Behavior of Degenerate Linear Kinetic Equations with Non-Isothermal Boundary Conditions
Armand Bernou
We study the degenerate linear Boltzmann equation inside a bounded domain with a generalized diffuse reflection at the boundary and variable temperature, including the Maxwell boun…