

Ergodic theory of the geodesic flow of hyperbolic surfaces - Lecture 1
De Barbara Schapira


Ergodic theory of the geodesic flow of hyperbolic surfaces - Lecture 2
De Barbara Schapira
Apparaît dans la collection : 2025 IHES Summer School – Discrete Subgroups of Lie Groups : Dynamics, Actions, Rigidity
In these lectures, I will first present a construction of good invariant measures for the geodesic flow of a hyperbolic surface, the so-called Gibbs measures. I will explain some of their important ergodic properties. Afterwards, I will present some geometric questions that can be solved thanks to these Gibbs measures, for example the regularity of entropy under a change of metrics, or the study of horocyclic flow on abelian covers of compact hyperbolic surfaces, or....