## Random walk on unipotent groups

- April 22, 2016
- 2:30 p.m.
- LeConte 312

## Abstract

In joint work with Persi Diaconis we obtain a new local limit theorem for random walk on the Heisenberg group, which applies to arbitrary centered measures of compact support and obtains an optimal rate. We also obtain optimal mixing times for some random walks on finite upper triangular groups. Time permitting I will also give an overview of a mixing time bound of degree times diameter squared for random walk on some Cayley graphs of cyclic groups.