Dynamical Systems Seminar

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:

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.
Date: Tuesday, May 10, 2005
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: burns@math.northwestern.edu
Contact Phone: 847-491-3013
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