Dynamical Systems Seminar

Title: Liouville property on regular covers
Speaker: Professor Francois Ledrappier
Speaker Info: University of Notre Dame
Brief Description:
Special Note:

Let $(M,g)$ be a complete connected Riemannian manifold with bounded sectional curvature. Under the assumption that $M$ is a regular covering of a manifold with finite volume, we show that $M$ is Liouville (the only bounded harmonic functions are the constant functions) if, and only if, the linear rate of escape of the Brownian motion on $M$ vanishes. This is a joint work with A. Karlsson.
Date: Tuesday, November 18, 2008
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Katrin Gelfert
Contact email: gelfert@math.northwestern.edu
Contact Phone: 847-491-5574
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