RTG Seminar on Geometry, Dynamics and Topology Seminar

Suppose we run a random walk on a group. The corresponding Green metric assigns distances between group elements as follows: the distance between x and y is the negative logarithm of the probability that, when we start our random walk at x, we reach y. In this talk we'll discuss how to obtain orbital counting results for Green metrics by using techniques from ergodic theory. Speaker(s): Stephen Cantrell (U Chicago)