A construction of Bowen-Margulis measure (Pre-Talk)

Speaker: Pouya Honaryar

Date: Wed, Dec 7, 2022

Location: Online, University of Utah

Conference: Online working seminar in Ergodic Theory

Subject: Mathematics

Class: Scientific


In this talk we try to understand the Bowen-Margulis measure for geodesic flow on manifolds of (variable) negative curvature. In the first half-hour (pre-talk), I will discuss the necessary backgrounds from hyperbolic geometry and dynamics, and during the next hour (main talk), I will explain a construction due to Hamenstädt, which relates Bowen-Margulis measure to the Hausdorff measure with respect to a certain metric.