Closed geodesics and the measure of maximal entropy on surfaces without conjugate points | Vidéo | Carmin.tv

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Closed geodesics and the measure of maximal entropy on surfaces without conjugate points

De Vaughn Climenhaga

Apparaît dans la collection : Jean-Morlet Chair 2019 - Conference - Thermodynamic Formalism: Dynamical Systems, Statistical Properties and their Applications / Chaire Jean-Morlet 2019 - Conférence - Formalisme thermodynamique : systèmes dynamiques, propriétés statistiques et leurs applications

For negatively curved Riemannian manifolds, Margulis gave an asymptotic formula for the number of closed geodesics with length below a given threshold. I will describe joint work with Gerhard Knieper and Khadim War in which we obtain the corresponding result for surfaces without conjugate points by first proving uniqueness of the measure of maximal entropy and then following the approach of recent work by Russell Ricks, who established the asymptotic estimates in the setting of CAT(0) geodesic flows.

Informations sur la vidéo

Date de captation 10/12/2019
Date de publication 23/01/2020
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19586603
Citer cette vidéo Climenhaga, Vaughn (10/12/2019). Closed geodesics and the measure of maximal entropy on surfaces without conjugate points. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19586603
URL https://dx.doi.org/10.24350/CIRM.V.19586603

Domaine(s)

Bibliographie

CLIMENHAGA, Vaughn, KNIEPER, Gerhard, et WAR, Khadim. Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points. arXiv preprint arXiv:1903.09831, 2019. - https://arxiv.org/abs/1903.09831

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