11/30: Stephen Cantrell

Counting limit theorems for dominated representations

Abstract: In this talk we will discuss how to use symbolic dynamics and thermodynamic formalism to study dominated (or Anosov) representations.  These are certain representations of finitely generated groups into general linear groups that can be viewed as higher rank analogies of cocompact, isometric group actions on the hyperbolic plane. We will show how to use our dynamical view point to study the statistics of random matrix products in this setting. This talk is based on joint work with Rhiannon Dougall, Italo Cipriano and Cagri Sert.