Non uniformly hyperbolic dynamical systems. Coupling and renewal theory / Systèmes dynamiques non uniformement et partiellement hyperboliques. Couplage, renouvellement

Collection Non uniformly hyperbolic dynamical systems. Coupling and renewal theory / Systèmes dynamiques non uniformement et partiellement hyperboliques. Couplage, renouvellement

Organizer(s) Troubetzkoy, Serge ; Vaienti, Sandro

Date(s) 20/02/2017 - 24/02/2017

linked URL http://conferences.cirm-math.fr/1714.html

00:00:00 / 00:00:00

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Generic properties of the geodesic flow in nonpositive curvature

By Yves Coudène

Also appears in collection : Exposés de recherche

I will survey recent results on the generic properties of probability measures invariant by the geodesic flow defined on a nonpositively curved manifold. Such a flow is one of the early example of a non-uniformly hyperbolic system. I will talk about ergodicity and mixing both in the compact and noncompact setting, and ask some questions about the associated frame flow, which is partially hyperbolic.

Information about the video

Date of recording 21/02/2017
Date of publication 02/03/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19128803
Cite this video Coudène, Yves (21/02/2017). Generic properties of the geodesic flow in nonpositive curvature. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19128803
URL https://dx.doi.org/10.24350/CIRM.V.19128803

Domain(s)

Dynamical Systems

Bibliography

Coudène, Y., & Schapira, B. (2014). Generic measures for geodesic flows on nonpositively curved manifolds. Journal de l'École Polytechnique – Mathématiques, 1, 387-408 - http://dx.doi.org/10.5802/jep.14
Coudène, Y., & Schapira, . (2011). Counterexamples in non-positive curvature. Discrete and Continuous Dynamical Systems - Series A, 30 (4),1095–1106 - http://dx.doi.org/10.3934/dcds.2011.30.1095
Coudene, Y. (2003). Gibbs measures on negatively curved manifolds. Journal of Dynamical and Control Systems, 9 (1), 89–101 - http://dx.doi.org/10.1023/A:1022107301618

MSC codes

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