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math.PR2022
A consistence-stability approach to hydrodynamic limit of interacting particle systems on lattices
Angeliki Menegaki, Clément Mouhot
This is a review based on the presentation done at the seminar Laurent Schwartz in December 2021. It is announcing results in the forthcoming [Menegaki-Mouhot-Marahrens'22]. This w…
math.PR2016
Long time behavior in locally activated random walks
Nicolas Meunier, Clément Mouhot, Raphaël Roux
We consider a 1-dimensional Brownian motion whose diffusion coefficient varies when it crosses the origin. We study the long time behavior and we establish different regimes, depen…