Department of Mathematics Colloquium


Abstract 

A random walk on a group may be performed by
beginning with any group element and multiplying by random group
generators. A simple example is a random walk on the integers
with generators {1, 1}, so that in each "step" you take either one
step forward or one step back. In this talk we explore the
behavior "at infinity" of a random walk on a group and describe a
measuretheoretic boundary called the Poisson Boundary. Most of
the talk is accessible to anyone with basic knowledge of groups and
probability.
