Ergodic theorems for amenable groups

GTA Seminar - Wednesday, 29 October, 11:00-12:00 in Carlaw 535A

Ergodic theorems for amenable groups

We will talk on the validity of the mean ergodic theorem along left F�lner sequences in a countable amenable group G. Although the weak ergodic theorem always holds along any left F�lner sequence in G, we will provide examples where the mean ergodic theorem fails in quite dramatic ways. On the other hand, if G does not admit any ICC quotients, e.g. if G is virtually nilpotent, then we will prove that the mean ergodic theorem does indeed hold along any left F�lner sequence. Based on the joint work with M. Bjorklund (Chalmers).

Please join us for lunch after the talk!