195 citations · 626 across the 21 of their papers we have counts for
4 papers · 1 filter
Uniform contractivity in Wasserstein metric for the original 1D Kac's model
Maxime Hauray
We study here a very popular 1D jump model introduced by Kac: it consists of velocities encountering random binary collisions at which they randomly exchange energy. We show th…
Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D
Maxime Hauray, Samir Salem
We consider a particle system in 1D, interacting via repulsive or attractive Coulomb forces. We prove the trajectorial propagation of molecular chaos towards a nonlinear SDE associ…
Mean-field limit for collective behavior models with sharp sensitivity regions
José A. Carrillo, Young-Pil Choi, Maxime Hauray +1
We rigorously show the mean-field limit for a large class of swarming individual based models with local sharp sensitivity regions. For instance, these models include nonlocal repu…
Propagation of chaos for the Landau equation with moderately soft potentials
Nicolas Fournier, Maxime Hauray
We consider the 3D Landau equation for moderately soft potentials ( with the usual notation) as well as a stochastic system of particles approximating it. We first…