Title: Random walks on graphs and groups
Speaker: Joseph Maher (CUNY, Staten Island)
Abstract: We'll introduce random walks, starting with the simplest examples, random walks on the line and the plane. The study of these goes back to Polya, and they can be used as elementary models for both the stock market and the motion of particles. We'll review some basic properties of these random walks, and discuss how the geometric properties of the space are reflected in the behaviour of the random walks, and how this generalizes to more complicated spaces.