Explore the second lecture in a series on the ergodic theory of geodesic flow on hyperbolic surfaces, delivered by Barbara Schapira at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into the chaotic behavior of geodesic flows from an ergodic perspective, with particular focus on the construction of invariant "Gibbs measures" and how their product structure reveals chaotic properties. Learn how this family of measures can yield elegant geometric results. This 1 hour and 34 minute recording from the thematic meeting "Geometric structures and discrete group actions" (April 15, 2025) is available with helpful features including chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification through CIRM's Audiovisual Mathematics Library.