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H 1 Logarithmico-exponential series and fractal analysis

Auteurs : Rolin, Jean-Philippe (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We will describe a new approach to the study of discrete dynamical systems on the real line, which consists in considering their orbits as "fractal objetcs". In particular, the formal classification of analytic systems can be reproven with this method. We will also explain the main lines of a program devoted to the study of some non analytic systems. These are generated by maps which admit a specific type of transseries (Dulac’s transseries) as asymptotic expansions.

    Codes MSC :
    14P15 - Real analytic and semianalytic sets [See also 32B20, 32C05]
    32C05 - Real-analytic manifolds, real-analytic spaces [See also 14Pxx, 58A07]

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 12/11/15
      Date de captation : 15/10/15
      Collection : Research talks ; Algebra ; Algebraic and Complex Geometry
      Format : MP4
      Durée : 01:08:30
      Domaine : Algebra ; Algebraic & Complex Geometry
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2015-10-15_Rolin.mp4

    Informations sur la rencontre

    Nom de la rencontre : Ordered algebraic structures and related topics / Structures algébriques ordonnées et leurs interactions
    Organisateurs de la rencontre : Broglia, Fabrizio ; Delon, Francoise ; Dickmann, Max ; Gondard, Danielle
    Dates : 12/10/15 - 16/10/15
    Année de la rencontre : 2015
    URL Congrès : http://conferences.cirm-math.fr/1155.html

    Citation Data

    DOI : 10.24350/CIRM.V.18863803
    Cite this video as: Rolin, Jean-Philippe (2015). Logarithmico-exponential series and fractal analysis. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18863803
    URI : http://dx.doi.org/10.24350/CIRM.V.18863803


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