18 citations · 18 across the 4 of their papers we have counts for
4 papers
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…
Mean-Field Limit of Point Vortices for the Lake Equations
Matthieu Ménard
In this paper we study the mean-field limit of a system of point vortices for the lake equations. These equations model the evolution of the horizontal component of the velocity fi…
Mean-Field Limit Derivation of a Monokinetic Spray Model with Gyroscopic Effects
Matthieu Ménard
In this paper we derive a two dimensional spray model with gyroscopic effects as the mean-field limit of a system modeling the interaction between an incompressible fluid and a fin…
A renormalization group analysis of the one-dimensional extended Hubbard model
M. Ménard, C. Bourbonnais
The phase diagram of the one-dimensional extended Hubbard model at half-filling is investigated by a weak coupling renormalization group method applicable beyond the usual continuu…