04.06.2018 16:30 Stein Andreas Bethuelsen (TU Munich) :
Loss of memory and continuity properties for the supercritical contact processB 252 (Theresienstr. 39, 80333 München)
The contact process is an interacting particle system which models the spread of an infection in a population. In this talk I will focus on the evolution of this process in the supercritcal regime within a partial (and finite) subspace of the population. In particular, I will present some recent results on the loss of memory property for such partially observed processes and discuss their continuity properties with respect to conditioning (in the sense of g-measures). Several motivations for studying such projections, and some open questions, will be discussed during the talk.