Thermodynamical formalism and geometric applications (3/3) | Vidéo | Carmin.tv

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Thermodynamical formalism and geometric applications (3/3)

By Barbara Schapira

Appears in 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....

Information about the video

Date of recording 09/07/2025
Date of publication 10/07/2025
Institution IHES
Language English
Audience Researchers, Graduate Students
Format MP4

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