EVENT DETAILS AND ABSTRACT

Title: Ergodic theory for the horocycle flow on periodic hyperbolic surfaces (joint with F. Ledrappier)
Speaker: Omri Sarig
Speaker Info: Penn State University
Brief Description:
Special Note:
Abstract:

The horocycle flow of a non-geometrically finite hyperbolic surface may have many different (infinite) ergodic invariant Radon measures. (This should be contrasted with co-compact or co-finite volume case where there is just one non-trivial measure - up to scaling). We classify these measures for the class of periodic surfaces: regular covers of surfaces of finite volume. It turns out that in this case there are as many measures as there are positive eigenfunctions for the Laplacian of the surface.