Roland Zweimuller (University of Vienna):

Title: Rare events in infinite ensemble dynamics.

Abstract: I will report on some ongoing work on stochastic properties of Poisson suspensions (PS) of infinite measure preserving systems (e.g.
maps with neutral periodic points, random walks, Lorentz gas). The PS describes the simultaneous action of the dynamical system on countably infinite ensembles of initial points chosen via a Poisson random measure.
I will discuss this construction and its basic properties, review some basic (and not so basic) results on occurrence times of rare events in dynamics, and outline what we know about rare events in PS (eg for Lorentz gas).