IISER MOHALI

Abstract: In this talk, we quantify the dynamical and stationary behavior of mean field models. We first prove that the dynamics of the mean field are well approximated by a deterministic ODE, called the McKean-Vlasov equation. We also show the propagation of chaos property, namely, the asymptotic independence of particles as the number of particles becomes large. When the McKean-Vlasov equation has a unique global attractor, we prove that the stationary behaviour of the mean field process converges to this unique attractor.

Tea: Tea will be served after the talk