#### Conference abstracts

Session A4 - Computational Geometry and Topology

July 11, 18:00 ~ 18:25 - Room B7

## Random walks on groups with negative curvature

### Joseph Maher

### CUNY College of Staten Island, USA - joseph.maher@csi.cuny.edu

We will discuss 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.

Joint work with Giulio Tiozzo (University of Toronto).