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H 1 Tilings and non-intersecting paths beyond integrable cases

Auteurs : Gorin, Vadim (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : The talk is about a class of systems of 2d statistical mechanics, such as random tilings, noncolliding walks, log-gases and random matrix-type distributions. Specific members in this class are integrable, which means that available exact formulas allow delicate asymptotic analysis leading to the Gaussian Free Field, sine-process, Tracy-Widom distributions. Extending the results beyond the integrable cases is challenging. I will speak about a recent progress in this direction: about universal local limit theorems for a class of lozenge and domino tilings, noncolliding random walks; and about GFF-type asymptotic theorems for global fluctuations in these systems and in discrete beta log-gases.

    Codes MSC :
    52C20 - Tilings in $2$ dimensions
    60C05 - Combinatorial probability
    60G50 - Sums of independent random variables; random walks

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 04/05/2017
      Date de captation : 25/04/2017
      Collection : Combinatorics ; Mathematical Physics ; Probability and Statistics
      Sous collection : Research talks
      Format : MP4
      Domaine : Probability & Statistics ; Mathematical Physics ; Combinatorics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2017-04-25_Gorin.mp4

    Informations sur la rencontre

    Nom de la rencontre : Jean-Morlet Chair: Qualitative methods in KPZ universality / Chaire Jean Morlet : Méthodes qualitatives dans la classe d'universalité KPZ
    Organisateurs de la rencontre : Alberts, Tom ; Bakhtin, Yuri ; Cator, Eric ; Dolgopyat, Dmitry ; Khanin, Konstantin ; Shlosman, Senya
    Dates : 24/04/2017 - 28/04/2017
    Année de la rencontre : 2017
    URL Congrès : https://www.chairejeanmorlet.com/1558.html

    Citation Data

    DOI : 10.24350/CIRM.V.19161303
    Cite this video as: Gorin, Vadim (2017). Tilings and non-intersecting paths beyond integrable cases. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19161303
    URI : http://dx.doi.org/10.24350/CIRM.V.19161303

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