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math.PR2026
Linear Landau equation as a limit of a tagged particle in mean field interaction with a free gas
Thierry Bodineau, Pierre Le Bris
We consider a tagged particle in mean field interaction with a free gas of density N at equilibrium. In dimensions , we prove the convergence of its trajectory, as N goes t…
math.PR2025
On uniform in time propagation of chaos in metastable cases: the Curie-Weiss model
Lucas Journel, Pierre Le Bris
Many low temperature particle systems in mean-field interaction are ergodic with respect to a unique invariant measure, while their (non-linear) mean-field limit may possess severa…
math.PR2024
HMC and underdamped Langevin united in the unadjusted convex smooth case
Nicolaï Gouraud, Pierre Le Bris, Adrien Majka +1
We consider a family of unadjusted generalized HMC samplers, which includes standard position HMC samplers and discretizations of the underdamped Langevin process. A detailed analy…