
Mohamed, Alfaki ABOUBACRINE ASSADEK
- SFR UA MathSTIC (MATHSTIC)
- Laboratoire Angevin de Recherche en Mathématiques (LAREMA)
- Faculté des Sciences, Université d'Angers
Présentation
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.
Domaines de recherche
Compétences
Publications
Publications
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On the exponential ergodicity of the McKean-Vlasov SDE depending on a polynomial interaction2024
Pré-publication, Document de travail
hal-04110753
v5
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