Wochenplan des Fachbereichs Mathematik und Informatik

Update: Die Projektseminarwahl im Learnweb-Kurs PSemInfoSo19 (Schlüssel 'Seminar') ist aktiviert. Wahl ist bis zum 10. Februar möglich.
Wie in jedem Semester gibt es eine Kurzvorstellung der Projektseminare und Seminare, um sich aus dem Angebot das Interessanteste und Passendste heraussuchen zu können. Diesmal findet die Veranstaltung am Mittwoch, 16.1.2010, um 10.00h im M2 statt.

We define for families of finite metric spaces quantitative assembly map estimates that take into account propagation phenomena for pseudo-differential calculus. We relate these estimates to the Novikov conjecture.

Kolloquium über Geschichte und Didaktik der Mathematik

Further information

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 mainly 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 (RTP)). We illustrate our theory with a particle system with cooperative branching and also point out connections to recent work by Baake, Cordero and Hummel using RTPs to describe the ancestral selection graph in a model with mutation and frequency dependent selection. This is joint work with Tibor Mach and Jan Swart (Prague).