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H 1 Concentration properties of dynamical systems

Auteurs : Gouëzel, Sébastien (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Concentration is an important property of independent random variable, showing that any reasonable function of such variables does not vary a lot around its mean. Observables generated by the iteration of a chaotic enough dynamical system often share a lot of properties with independent random variables. In this survey talk, we discuss several situations where one can prove concentration for them, in uniformly or non-uniformly hyperbolic situations. We also explain why such a property is important to answer relevant geometric or dynamical questions.
    concentration - martingales - dynamical systems - Young towers - uniform hyperbolicity - moment bounds

    Codes MSC :
    37A25 - Ergodicity, mixing, rates of mixing
    37A50 - Relations with probability theory and stochastic processes
    60F15 - Strong theorems

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 22/08/14
      Date de captation : 07/07/14
      Collection : Research talks ; Dynamical Systems and Ordinary Differential Equations ; Probability and Statistics
      Format : quicktime ; audio/x-aac
      Durée : 00:57:06
      Domaine : Dynamical Systems & ODE ; Probability & Statistics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2014-07-07_Gouezel.mp4

    Informations sur la rencontre

    Nom de la rencontre : Limit theorems in dynamics and applications / Théorèmes limites en dynamique et applications
    Organisateurs de la rencontre : Olla, Stefano ; Reinert, Gesine ; Vaienti, Sandro ; Volny, Dalibor
    Dates : 07/07/14 - 11/07/14
    Année de la rencontre : 2014

    Citation Data

    DOI : 10.24350/CIRM.V.18578103
    Cite this video as: Gouëzel, Sébastien (2014). Concentration properties of dynamical systems. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18578103
    URI : http://dx.doi.org/10.24350/CIRM.V.18578103


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