The mean-field limit for systems of self-propelled agents with “topological interaction” cannot be obtained by means of the usual Dobrushin approach. We get results by adapting to the multidimensional case the techniques developed by Trocheris in 1986 to treat the Vlasov-Poisson equation in one dimension
We consider the continuous version of the Vicsek model with noise, proposed as a model for collectiv...
International audienceIn the nonlinear diffusion framework, stochastic processes of McKean-Vlasov ty...
The derivation of effective equations for interacting many body systems has seen a lot of progress i...
16 pages, to appear in Séminaire Laurent Schwartz (2012-2013)We consider systems of $N$ particles in...
In this thesis we consider the mean field limit of $N$-particle system induced both from social scie...
This article introduces a novel approach to the mean-field limit of stochastic systems of interactin...
International audienceWe present a review of some recent results concerning the long time behavior o...
Lecture notes for a course at the Research School "Scaling Limits from Microscopic to Macroscopic Ph...
International audienceThis paper is concerned with the mean-field limit for the gradient flow evolut...
Dans cette thèse, on étudie des problèmes de propagation du chaos et de limite de champ moyen pour d...
International audienceWe consider the discrete Couzin-Vicsek algorithm (CVA), which describes the in...
International audienceThis paper is mainly concerned with a mean-field limit and long time behavior ...
In this thesis several systems of interacting particles are considered. The manuscript is divided in...
This short course explains how the usual mean-field evolution PDEs in Statistical Physics — such as ...
We elaborate on various ways to pass to the limit a given family of finite-dimensional particle syst...
We consider the continuous version of the Vicsek model with noise, proposed as a model for collectiv...
International audienceIn the nonlinear diffusion framework, stochastic processes of McKean-Vlasov ty...
The derivation of effective equations for interacting many body systems has seen a lot of progress i...
16 pages, to appear in Séminaire Laurent Schwartz (2012-2013)We consider systems of $N$ particles in...
In this thesis we consider the mean field limit of $N$-particle system induced both from social scie...
This article introduces a novel approach to the mean-field limit of stochastic systems of interactin...
International audienceWe present a review of some recent results concerning the long time behavior o...
Lecture notes for a course at the Research School "Scaling Limits from Microscopic to Macroscopic Ph...
International audienceThis paper is concerned with the mean-field limit for the gradient flow evolut...
Dans cette thèse, on étudie des problèmes de propagation du chaos et de limite de champ moyen pour d...
International audienceWe consider the discrete Couzin-Vicsek algorithm (CVA), which describes the in...
International audienceThis paper is mainly concerned with a mean-field limit and long time behavior ...
In this thesis several systems of interacting particles are considered. The manuscript is divided in...
This short course explains how the usual mean-field evolution PDEs in Statistical Physics — such as ...
We elaborate on various ways to pass to the limit a given family of finite-dimensional particle syst...
We consider the continuous version of the Vicsek model with noise, proposed as a model for collectiv...
International audienceIn the nonlinear diffusion framework, stochastic processes of McKean-Vlasov ty...
The derivation of effective equations for interacting many body systems has seen a lot of progress i...