Journée-séminaire de combinatoire

(équipe CALIN du LIPN, université Paris-Nord, Villetaneuse)

Le 13 juin 2023 à 15h15 en B107 & visioconférence, Linxao Chen nous parlera de : Transfer theorems for multivariate generating functions

Résumé : A multivariate generating function (MGF) is an analytic function in d variables ($d>1$) which encodes a d-dimensional array of numbers as its Taylor coefficients. In recent years we see the emergence of a theory of analytic combinatorics in several variables which enables us to compute the asymptotic expansions of an array of numbers from its MGF. I will illustrate this theory with some examples from graph enumeration problems, and explain the new challenges it brings up compared to analytic combinatorics in one variable.

 [vidéo]

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