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H 1 Unique ergodicity of geodesic flow in an infinite translation surface

Auteurs : Rafi, Kasra (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : The behaviour of infinite translation surfaces is, in many regards, very different from the finite case. For example, the geodesic flow is often not recurrent or is not even defined for infinite time in a generic direction.
    However, we show that if one focuses on a class of infinite translation surfaces that exclude the obvious counter-examples, one can adapted the proof of Kerckhoff, Masur, and Smillie and show that the geodesic flow is uniquely ergodic in almost every direction. We call this class of surface essentially finite.
    (joint work with Anja Randecker).

    Codes MSC :
    37A25 - Ergodicity, mixing, rates of mixing
    37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
    51A40 - Translation planes and spreads

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 28/02/2017
      Date de captation : 14/02/2017
      Collection : Research talks ; Dynamical Systems and Ordinary Differential Equations
      Format : MP4
      Durée : 00:59:39
      Domaine : Dynamical Systems & ODE
      Download : https://videos.cirm-math.fr/2017-02-14_Rafi.mp4

    Informations sur la rencontre

    Nom de la rencontre : Teichmüller Space, Polygonal Billiard, Interval Exchanges / Espace de Teichmüller. Billards polygonaux, échanges d'intervalles
    Organisateurs de la rencontre : Chaika, Jon ; Hubert, Pascal ; Lanneau, Erwan ; Skripchenko, Alexandra ; Zorich, Anton
    Dates : 13/02/2017 - 17/02/2017
    Année de la rencontre : 2017
    URL Congrès : http://conferences.cirm-math.fr/1713.html

    Citation Data

    DOI : 10.24350/CIRM.V.19119803
    Cite this video as: Rafi, Kasra (2017). Unique ergodicity of geodesic flow in an infinite translation surface . CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19119803
    URI : http://dx.doi.org/10.24350/CIRM.V.19119803

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