Local mixing and abelian covers of finite volume hyperbolic manifolds

Dynamical systems seminar

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Yakov Pesin, Victoria Sadovskaya.

Speaker: Wenyu Pan, Penn State

Abstract: Abelian covers of finite volume hyperbolic manifolds are ubiquitous. We will discuss ergodic properties of the geodesic flow/ frame flow on such spaces. In particular, we will discuss the local mixing property of the geodesic flow/ frame flow, which we introduce to substitute the well-known strong mixing property in infinite volume setting. We will also discuss applications to measure classification problems and to counting and equidistribution problems. Part of the talk is based on the joint work with Hee Oh.


Room Reservation Information

Room Number: 114 McAllister

Date: 08/27/2018

Time: 3:40pm - 4:40pm