Tid: 2 mars 1998 kl 1515-1700
Plats : Seminarierummet 3733, Institutionen för matematik, KTH, Lindstedts väg 25, plan 7. Karta!
Föredragshållare: Olle Häggström, Matematisk statistik, Chalmers Tekniska Högskola. (Publikationslista)
Titel: Percolation processes - static and dynamical
Sammanfattning: Percolation theory deals with connectivity properties of random media, and has been an active research area in both mathematics and physics during the last four decades. Traditionally, the models are static in the sense that the medium is modelled by some stochastic process which varies in space but not in time. Dynamical percolation was introduced a couple of years ago as a way of imposing time dynamics on static percolation models. It turns out that the time dynamics makes little difference away from criticality, but at the critical point the dynamical process may exhibit surprising behaviour not seen in the static counterpart. I intend to review what has been done so far in dynamical percolation, and also to discuss the main open problems.