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H 2 The classification of excursions

Auteurs : Mishna, Marni (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Excursions are walks which start and end at prescribed locations. In this talk we consider the counting sequences of excursions, more precisely, the functional equations their generating functions satisfy. We focus on two sources of excursion problems: walks defined by their allowable steps, taken on integer lattices restricted to cones; and walks on Cayley graphs with a given set of generators. The latter is related to the cogrowth problems of groups. In both cases we are interested in relating the nature of the generating function (i.e. rational, algebraic, D-finite, etc.) and combinatorial properties of the models. We are also interested in the relation between the excursions, and less restricted families of walks.
    Please note: A few corrections were made to the PDF file of this talk, the new version is available at the bottom of the page.

    Codes MSC :
    05A15 - Exact enumeration problems, generating functions
    05C25 - Graphs and abstract algebra (groups, rings, fields, etc.)
    20F05 - Generators, relations, and presentations of groups
    60G50 - Sums of independent random variables; random walks

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 04/06/2018
      Date de captation : 31/05/2018
      Collection : Research talks ; Algebra ; Combinatorics
      Format : MP4
      Durée : 00:57:05
      Domaine : Algebra ; Combinatorics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2018-05-31_Mishna.mp4

    Informations sur la rencontre

    Nom de la rencontre : Algebra, arithmetic and combinatorics of differential and difference equations / Algèbre, arithmétique et combinatoire des équations différentielles et aux différences
    Organisateurs de la rencontre : Adamczewski, Boris ; Delaygue, E. ; Raschel, Kilian ; Roques, Julien
    Dates : 28/05/2018 - 01/06/2018
    Année de la rencontre : 2018
    URL Congrès : https://conferences.cirm-math.fr/1761.html

    Citation Data

    DOI : 10.24350/CIRM.V.19409603
    Cite this video as: Mishna, Marni (2018). The classification of excursions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19409603
    URI : http://dx.doi.org/10.24350/CIRM.V.19409603


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