Buildings, groups of Lie type, and random walks

Abstract

In this paper we survey the theory of random walks on buildings and associated groups of Lie type and Kac-Moody groups. We begin with an introduction to the theory of Coxeter systems and buildings, taking a largely combinatorial perspective. We then survey the theory of random walks on buildings, and show how this theory leads to limit theorems for random walks on the associated groups.

arXiv commentGroups, Graphs and Random Walks, Cortona Italy, June 2014