EVENT DETAILS AND ABSTRACT

Title: Invariant and stationary measures for groups of toral automorphisms
Speaker: Alex Furman
Speaker Info: UIC
Brief Description:
Special Note:
Abstract:

This is a joint work with J. Bourgain, E. Lindenstrauss, and S. Mozes. We study the dynamics of the action of a subgroup G of SL(d,Z) on the d-torus. Assuming G is rich (e.g. Zariski dense) we prove the only invariant or, more generally, stationary measures on the torus are combinations of Lebesgue and atomic measures. In fact a quantitative equidistribution result is obtained.