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H 1 Forcing theory for transverse trajectories of surface homeomorphisms - Part 1

Auteurs : Le Calvez, Patrice (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for rotation sets of toral homeomorphisms, exponential growth of periodic orbits and estimates on topological entropy of maps.

    Codes MSC :
    37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
    37E45 - Rotation numbers and vectors

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 11/10/16
      Date de captation : 04/10/16
      Collection : Research talks ; Dynamical Systems and Ordinary Differential Equations
      Format : MP4
      Durée : 00:54:30
      Domaine : Dynamical Systems & ODE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2016-10-04_Calvez_part1.mp4

    Informations sur la rencontre

    Nom de la rencontre : Surfaces in Luminy / Surfaces à Luminy
    Organisateurs de la rencontre : Béguin, François ; Crovisier, Sylvain ; Koropecki, Andres ; Leroux, Frédéric ; Liousse, Isabelle ; Militon, Emmanuel
    Dates : 03/10/16 - 07/10/16
    Année de la rencontre : 2016
    URL Congrès : http://conferences.cirm-math.fr/1471.html

    Citation Data

    DOI : 10.24350/CIRM.V.19066703
    Cite this video as: Le Calvez, Patrice (2016). Forcing theory for transverse trajectories of surface homeomorphisms - Part 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19066703
    URI : http://dx.doi.org/10.24350/CIRM.V.19066703


    Voir aussi

    Bibliographie

    1. Le Calvez, P., & Tal, F.A. (2015). Forcing theory for transverse trajectories of surface homeomorphisms. - https://arxiv.org/abs/1503.09127

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