Geometry, Topology and Dynamics Seminar
Yair Hartman
Weizmann Institute
The Furstenberg entropy realization problem
Abstract: Given a group equipped with a measure, one may consider all its
stationary actions and their corresponding entropy values. The
"Furstenberg entropy realization problem" is to describe this set of
possible values.
Although stationary actions always exist, there are very few known
examples of such. Recently, L. Bowen introduced a new way of
constructing stationary spaces given an IRS (a probability measure on
the space of subgroups of G, which is invariant under conjugations).
We will use IRS's on the lampligher group to realize interesting
entropy values for lamplighers over amenable groups and free groups
with large class of measures.
Joint work with Omer Tamuz.
Wednesday February 27, 2013 at 3:00 PM in SEO 636