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H 1 Spectrum of geodesic flow on negatively curved manifold

Auteurs : Tsujii, Masato (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We consider the one-parameter families of transfer operators for geodesic flows on negatively curved manifolds. We show that the spectra of the generators have some "band structure" parallel to the imaginary axis. As a special case of "semi-classical" transfer operator, we see that the eigenvalues concentrate around the imaginary axis with some gap on the both sides.

    Codes MSC :
    37C30 - Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
    37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
    53D25 - Geodesic flows
    81Q50 - Quantum chaos [See also 37Dxx]

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 28/05/14
      Date de captation : 05/12/13
      Collection : Research talks ; Dynamical Systems and Ordinary Differential Equations ; Mathematical Physics
      Format : quicktime ; audio/x-aac
      Durée : 00:56:42
      Domaine : Dynamical Systems & ODE ; Mathematical Physics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2013-12-05_Tsujii.mp4

    Informations sur la rencontre

    Nom de la rencontre : Jean-Morlet Chair : Hyperbolicity and dimension / Chaire Jean-Morlet : Hyperbolicité et dimension
    Organisateurs de la rencontre : Hasselblatt, Boris ; Pesin, Yakov ; Schmeling, Joerg ; Troubetzkoy, Serge ; Vaienti, Sandro
    Dates : 02/12/13 - 06/12/13
    Année de la rencontre : 2013
    URL Congrès : https://hasselblatttroubetzkoy.weebly.co...

    Citation Data

    DOI : 10.24350/CIRM.V.18577103
    Cite this video as: Tsujii, Masato (2013). Spectrum of geodesic flow on negatively curved manifold. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18577103
    URI : http://dx.doi.org/10.24350/CIRM.V.18577103