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On the Dynamics of Large Particle Systems in the Mean Field Limit
135 pages; lecture notes for a course at the NDNS+ Applied Dynamical Systems Summer School ''Macroscopic and large scale phenomena'', Universiteit Twente, Enschede (The... -
Particles approximations of Vlasov equations with singular forces : Propagati...
We obtain the mean field limit and the propagation of chaos for a system of particles interacting with a singular interaction force of the type $1/|x|^\alpha$, with... -
Propagation of chaos for rank-based interacting diffusions and long time beha...
International audience -
Ornstein-Uhlenbeck limit for the velocity process of an $N$-particle system i...
19 pages ; streamlined notations ; new section on many particles with momentum conservation ; new appendix on Kac system -
Asymptotic theorems for Boltzmann and Landau equations
This thesis is concerned with kinetic theory and many-particle systems in the setting of Boltzmann and Landau equations. Firstly, we study the derivation of kinetic... -
Rate of convergence of the Nanbu particle system for hard potentials
We consider the (numerically motivated) Nanbu stochastic particle system associated to the spatially homogeneous Boltzmann equation for true hard potentials. We...
