Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 4

Explore the intricacies of geodesic flow dynamics on surfaces without conjugate points in this advanced mathematics lecture delivered by Khadim War from IMPA. Delve into the proof of uniqueness and ergodicity of the measure of maximal entropy previously constructed. Gain insights into the mixing properties of the geodesic flow with respect to this measure. This nearly two-hour lecture, part of the ICTP Mathematics series, offers a deep dive into the mathematical concepts and proofs essential for understanding the behavior of geodesic flows on specific surface types.