Oliver Sargent

Technion University

Random walks on homogeneous spaces of non-lattice type

Ergodic Theory and Dynamical Systems Seminar

14th December 2017, 3:00 pm – 4:00 pm
Howard House, 4th Floor Seminar Room

This is joint work with Uri Shapira. We attempt to generalise the spectacular
results of Y. Benoist and J.F. Quint to the homogeneous space consisting of
unimodular rank-2 discrete subgroups of R^3 . I will discuss the problem of
classifying stationary measures on this space. Under certain conditions on
the acting group we can show that there is a unique stationary probability
measure. We also have examples where (surprisingly) there is more than one
stationary probability measure. I will explain our results in both of these

Comments are closed.