CHAFAI Djalil

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Topics of productions
Affiliations
  • 2012 - 2021
    Centre de recherches en mathématiques de la décision
  • 2014 - 2018
    Communauté d'universités et établissements Université de Recherche Paris Sciences et Lettres
  • 2015 - 2020
    Avancées en calcul numérique des variations
  • 2015 - 2018
    Université Paris-Dauphine
  • 2012 - 2015
    Institut universitaire de France
  • 2012 - 2015
    Laboratoire d'analyse et de mathématiques appliquées
  • 2007 - 2008
    Institut de Mathématiques de Toulouse
  • 2007 - 2008
    Institut national de recherche pour l'agriculture, l'alimentation et l'environnement
  • 2001 - 2002
    Laboratoire de statistique et probabilités
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2011
  • 2009
  • 2008
  • 2002
  • Aspects of Coulomb gases.

    Djalil CHAFAI
    2021
    Coulomb gases are special probability distributions, related to potential theory, that appear at many places in pure and applied mathematics and physics. In these short expository notes, we focus on some models, ideas, and structures. We present briefly selected mathematical aspects, mostly related to exact solvability, and to first and second order global asymptotics. A particular attention is devoted to two-dimensional exactly solvable models of random matrix theory such as the Ginibre model. Thematically, these notes lie between probability theory, mathematical analysis, and statistical physics, and aim to be very accessible. They form a contribution to a volume of the "Panoramas et Synthèses" series around the workshop "États de la recherche en mécanique statistique", organized by Société Mathématique de France, held at Institut Henri Poincaré, Paris, in the fall of 2018 (https://statmech2018.sciencesconf.org).
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