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H 1 Symbolic bounded remainder sets

Auteurs : Berthé, Valérie (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Discrepancy is a measure of equidistribution for sequences of points. We consider here discrepancy in the setting of symbolic dynamics and we discuss the existence of bounded remainder sets for some families of zero entropy subshifts, from a topological dynamics viewpoint. A bounded remainder set is a set which yields bounded discrepancy, that is, the number of times it is visited differs by the expected time only by a constant. Bounded discrepancy provides particularly strong convergence properties of ergodic sums. It is also closely related to the notions of balance in word combinatorics.

    Keywords : symbolic dynamical equidistribution; continued fractions

    Codes MSC :
    11J70 - Continued fractions and generalizations
    11K38 - Irregularities of distribution, discrepancy
    11K50 - Metric theory of continued fractions
    28A80 - Fractals
    37A30 - Ergodic theorems, spectral theory, Markov operators
    37B10 - Symbolic dynamics

    Ressources complémentaires :
    https://www.cirm-math.fr/RepOrga/2077/Slides/Berthe.pdf

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 03/12/2019
      Date de captation : 06/11/2019
      Collection : Research talks ; Combinatorics ; Dynamical Systems and Ordinary Differential Equations ; Number Theory
      Format : MP4
      Durée : 00:41:20
      Domaine : Number Theory ; Combinatorics ; Dynamical Systems & ODE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2019-11-06_Berthé.mp4

    Informations sur la rencontre

    Nom de la rencontre : Prime Numbers, Determinism and Pseudorandomness / Nombres premiers, déterminisme et pseudoaléa
    Organisateurs de la rencontre : Dartyge, Cécile ; Drmota, Michael ; Ferenczi, Sébastien ; Lemanczyk, Mariusz ; Rivat, Joël
    Dates : 04/11/2019 - 08/11/2019
    Année de la rencontre : 2019
    URL Congrès : https://conferences.cirm-math.fr/2077.html

    Citation Data

    DOI : 10.24350/CIRM.V.19576203
    Cite this video as: Berthé, Valérie (2019). Symbolic bounded remainder sets. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19576203
    URI : http://dx.doi.org/10.24350/CIRM.V.19576203


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