EVENT DETAILS AND ABSTRACT

Title: Unique ergodicity for nonuniquely ergodic horocycle flows (Joint work with Omri Sarig)
Speaker: Professor Francois Ledrappier
Speaker Info: University of Notre Dame
Brief Description:
Special Note:
Abstract:

We consider the horocycle flow associated to a $\Z^d$--cover of a compact hyperbolic surface. Such flows have no finite invariant measures, and infinitely many infinite ergodic invariant Radon measures. We prove that, up to normalization, only one of these infinite measures admits a generalized law of large numbers, and identify such laws.