The notion of propagation of chaos for large systems of interacting particles originates in
statistical physics and has recently become a central notion in many areas of applied …

A review of the mean field limits for Vlasov equations AIMS share this content in Facebook
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We derive quantitative estimates proving the propagation of chaos for large stochastic
systems of interacting particles. We obtain explicit bounds on the relative entropy between …

These notes are devoted to a summary on the mean-field limit of large ensembles of
interacting particles with applications in swarming models. We first make a summary of the …

We establish the mean field convergence for systems of points evolving along the gradient
flow of their interaction energy when the interaction is the Coulomb potential or a super …

We review some classical and more recent results for the derivation of mean field equations
from systems of many particles, focusing on the stochastic case where a large system of …

We prove the mean field limit and quantitative estimates for many-particle systems with
singular attractive interactions between particles. As an important example, a full rigorous …

We consider the mean-field limit of systems of particles with singular interactions of the type−
log| x| or| x|− s, with 0< s< d− 2, and with an additive noise in dimensions d≥ 3. We use a …

We consider large systems of particles interacting through rough but bounded interaction
kernels. We are able to control the relative entropy between the N-particle distribution and …

This article introduces a novel approach to the mean-field limit of stochastic systems of
interacting particles, leading to the first ever derivation of the mean-field limit to the Vlasov …