Unique equilibrium states for geodesic flows over manifolds without focal-points | Vidéo | Carmin.tv

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Unique equilibrium states for geodesic flows over manifolds without focal-points

By Lien-Yung Kao

Appears in collection : Jean-Morlet Chair 2019 - Research School: Thermodynamic Formalism: Modern Techniques in Smooth Ergodic Theory / Chaire Jean-Morlet 2019 - Ecole : Formalisme thermodynamique : techniques modernes en théorie ergodique

We study dynamics of geodesic flows over closed surfaces of genus greater than or equal to 2 without focal points. Especially, we prove that there is a large class of potentials having unique equilibrium states, including scalar multiples of the geometric potential, provided the scalar is less than 1. Moreover, we discuss ergodic properties of these unique equilibrium states. We show these unique equilibrium states are Bernoulli, and weighted regular periodic orbits are equidistributed relative to these unique equilibrium states.

Information about the video

Date of recording 01/07/2019
Date of publication 31/07/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19541703
Cite this video Kao, Lien-Yung (01/07/2019). Unique equilibrium states for geodesic flows over manifolds without focal-points. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19541703
URL https://dx.doi.org/10.24350/CIRM.V.19541703

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Bibliography

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