EVENT DETAILS AND ABSTRACT

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

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.