The main goal of my research field is the study of the long-time behavior of nonlinear dynamics of the McKean-Vlasov type. More precisely, on the one hand, among others, I am interested in mean-field Langevin dynamics : limit by propagation of chaos of systems of Langevin particles in mean-field interaction. I study the different characterizations of invariant probability distributions and the exponential convergences of the laws of these processes towards equilibrium. On the other hand, my interest is focused on McKean-Vlasov processes absorbed at the boundary of a regular bounded domain : study of quasi-stationary distributions, their different characterizations, the convergences of occupation measures towards quasi-equilibrium.

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Chercheur en probabilités