Simplicity of the Lyapunov spectrum revisited | Vidéo | Carmin.tv

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Simplicity of the Lyapunov spectrum revisited

By Ursula Hamenstädt

Appears in collection : Espace de Teichmüller. Billards polygonaux, échanges d'intervalles / Teichmüller Space, Polygonal Billiard, Interval Exchanges

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.

Information about the video

Date of recording 16/02/2017
Date of publication 28/02/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19120803
Cite this video Hamenstädt, Ursula (16/02/2017). Simplicity of the Lyapunov spectrum revisited. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19120803
URL https://dx.doi.org/10.24350/CIRM.V.19120803

Domain(s)

Dynamical Systems

MSC codes

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