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H 1 Resonance chains on Schottky surfaces

Auteurs : Weich, Tobias (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Recently David Borthwick discovered through numerical calculations surprising chain structures in the resonance spectrum of certain Schottky surfaces. In this talk we will see that theses resonance chains have the same origin as the resonance chains in the classical and quantum mechanical spectrum of the three disk system and we will see that they are related to a clustering in the length spectrum. Finally the existence of these chains will be proven for three funneled Schottky surfaces in a certain geometrical limit in the Teichmüller space. Joint work with S. Barkhofen and F. Faure.

    Codes MSC :
    35P25 - Scattering theory
    58J50 - Spectral problems; spectral geometry; scattering theory
    81Q05 - Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 30/03/15
      Date de captation : 10/03/15
      Collection : Research talks ; Partial Differential Equations ; Dynamical Systems and Ordinary Differential Equations ; Mathematical Physics
      Format : quicktime ; audio/x-aac
      Durée : 00:42:36
      Domaine : Mathematical Physics ; PDE ; Dynamical Systems & ODE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2015-03-10_Weich.mp4

    Informations sur la rencontre

    Nom de la rencontre : Analysis and geometry of resonances / Analyse et géométrie des résonances
    Organisateurs de la rencontre : Guillarmou, Colin ; Hilgert, Joachim ; Pasquale, Angela ; Przebinda, Tomasz
    Dates : 09/03/15 - 13/03/15
    Année de la rencontre : 2015
    URL Congrès : http://www.math.univ-metz.fr/~pasquale/C...

    Citation Data

    DOI : 10.24350/CIRM.V.18731703
    Cite this video as: Weich, Tobias (2015). Resonance chains on Schottky surfaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18731703
    URI : http://dx.doi.org/10.24350/CIRM.V.18731703


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