Considering deterministic finite particle systems, we elaborate on various ways to pass to
the limit as the number of agents tends to infinity, either by mean field limit, deriving the …

We elaborate on various ways to pass to the limit a given family of finite-dimensional particle
systems, either by mean field limit, deriving the Vlasov equation, or by hydrodynamic or …

This thesis is devoted to the mathematical study of problems involving the general question
of the interaction between continuous and discrete objects. More precisely, one wants to …

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 …

We present a review of some recent results concerning the long time behavior of particle
systems in the mean field limit. In particular we will consider the Vlasov limit for a system of …

In this article we report on a novel way to incorporate complex network structure into the
analysis of interacting particle systems. More precisely, it is well-known that in well …

We consider systems of N particles in dimension one, driven by pair Coulombian or
gravitational interactions. When the number of particles goes to infinity in the so called mean …

Fokker–Planck equations represent a suitable description of the finite-time behavior for a
large class of particle systems as the size of the population tends to infinity. Recently, the …

In this paper, we present a rigorous derivation of the mean-field limit for a moderately
interacting particle system in $\R^ d $$(d\geq 2) $. For stochastic initial data, we …

In this paper we provide a local Cauchy theory both on the torus and in the whole space for
general Vicsek dynamics at the kinetic level. We consider rather general interaction kernels …