Pacific Dynamics Seminar: Inhyeok Choi

In this talk, I will discuss random walks on Gromov hyperbolic spaces. Due to the hyperbolicity of the spaces, random walks exhibit behaviors that differ from the classic (Euclidean) ones. These behaviors include the escape to infinity, central limit theorems when centered at the escape rate, and geodesic tracking. I will explain how one can sharpen these behaviors based on the recent observations by Gouëzel and Baik-Choi-Kim. If time allows, I will also explain how one can implement this theory on (non-hyperbolic) Teichmüller spaces.