Topology Seminar (Introductory Talk): Random walks on groups with negative curvature

Seminar | April 12 | 2:10-3 p.m. | 736 Evans Hall

 Joseph Maher, CUNY

 Department of Mathematics

We will give a gentle introduction to random walks on groups satisfying various types of negative curvature conditions. A simple example is the nearest neighbour random walk on the 4-valent tree, also known as the Cayley graph of the free group on two generators. A typical random walk moves away from the origin at linear speed, and converges to one of the ends of the tree. We will discuss how to generalize this result to more general settings, such as hyperbolic groups, or acylindrical groups. This is joint work with Giulio Tiozzo.