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
situations.






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