Speaker
Barbara Schapira
(IMAG, Université de Montpellier)
Description
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 ...