Mohamed, Alfaki ABOUBACRINE ASSADEK

Doctorant ATER au Laboratoire Angevin de REcherche en MAthématiques (LAREMA)
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Affiliations actuelles
  • SFR UA MathSTIC (MATHSTIC)
  • Laboratoire Angevin de Recherche en Mathématiques (LAREMA)
  • Faculté des Sciences, Université d'Angers
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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

Mathématiques [math] Physique mathématique [math-ph] Probabilités [math.PR] Equations aux dérivées partielles [math.AP] Théorie spectrale [math.SP]

Compétences

Mathématiques Physique Mécanique statistique Probabilités

Publications

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Publications