Dynamical Systems Seminar

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

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.
Date: Tuesday, October 20, 2009
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Dave McClendon
Contact email: dmm@math.northwestern.edu
Contact Phone: 847-467-1298
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