Le séminaire du premier semestre 2019-2020 a lieu le jeudi de 10:45–11:45 en salle de séminaires IRMA. La fréquence est variable. Les exposés commencent à 10:45, durent 60 minutes et sont suivies de questions.

Prochain exposé du séminaire stochastique (Attention: le programme est régulièrement enrichi ou modifié):

Le 20-02-2020 à 10:45:00 dans la Salle de séminaires IRMA
Anja Sturm (Goettingen)

Recursive tree processes and mean-field limits of interacting particle systems

In this talk we consider interacting particle systems, their description via graphical respresentations (stochastic flows) and their dual processes. We then focus on systems where the underlying lattice is given by the complete graph and consider the mean-field limit for which the number of vertices tends to infinity. We are not only interested in the mean-field limit of a single process, but also in how several coupled processes behave in the limit. These turn out to be closely related (dual in some sense) to recursive tree processes (RTP), which are generalizations of Markov chains with a tree-like time parameter, that were studied by Aldous and Bandyopadyay in discrete time (alongside corresponding recursive distributional equations (RDE)). We illustrate our theory with a particle system with cooperative branching and deaths.<br /> This is joint work with Tibor Mach and Jan Swart (Prague).

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