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Simplicity of the Lyapunov spectrum revisited
Multi angle
Authors : Hamenstädt, Ursula (Author of the conference)
CIRM (Publisher )
37D35 - Thermodynamic formalism, variational principles, equilibrium states
CIRM (Publisher )
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Abstract :
We give an algebraic proof of the simplicity of the Lyapunov spectrum for the Teichmüller flow on strata of abelian differentials. This proof extends to the Kontsevich Zorich cocycle over strata of quadratic differentials and can also be used to study the algebraic degree of pseudo-Anosov stretch factors.
MSC Codes : 37D35 - Thermodynamic formalism, variational principles, equilibrium states
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 28/02/2017 Conference Date : 16/02/2017 Subseries : Research talks arXiv category : Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:58:37 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-02-16_Hamenstadt.mp4 
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Information on the Event
Event Title : Espace de Teichmüller. Billards polygonaux, échanges d'intervalles / Teichmüller Space, Polygonal Billiard, Interval ExchangesEvent Organizers : Chaika, Jon ; Hubert, Pascal ; Lanneau, Erwan ; Skripchenko, Alexandra ; Zorich, Anton Dates : 13/02/2017 - 17/02/2017 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1713.html
Citation Data
DOI : 10.24350/CIRM.V.19120803Cite this video as: Hamenstädt, Ursula (2017). Simplicity of the Lyapunov spectrum revisited. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19120803 URI : http://dx.doi.org/10.24350/CIRM.V.19120803 |
See Also
- [Multi angle] Limits of geodesic push-forwards of horocycle measures / Author of the conference Forni, Giovanni.
- [Multi angle] Interval exchange transformations from tiling billiards / Author of the conference Davis, Diana.
- [Multi angle] Unique ergodicity of geodesic flow in an infinite translation surface / Author of the conference Rafi, Kasra.
- [Post-edited] Totally geodesic submanifolds of Teichmüller space and moduli space / Author of the conference Wright, Alexander.
Bibliography
