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math.PR2024
Ergodicity of some stochastic Fokker-Planck equations with additive common noise
François Delarue, Etienne Tanré, Raphaël Maillet
In this paper we consider stochastic Fokker-Planck Partial Differential Equations (PDEs), obtained as the mean-field limit of weakly interacting particle systems subjected to both…
math.PR2024
Rearranged Stochastic Heat Equation: Ergodicity and Related Gradient Descent on
François Delarue, William R. P. Hammersley
This article provides a case study for a recently introduced diffusion in the space of probability measures over the reals, namely rearranged stochastic heat, which solves a stocha…
math.PR2024
Intrinsic regularization by noise for mean field games
François Delarue, Youssef Ouknine
The purpose of this article is to show that an intrinsic noise with values in the space of probability measures may force uniqueness to first order…