Journée-séminaire de combinatoire

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

Le 09 décembre 2014 à 14h00 en B107, Adrian Tanasa nous parlera de : Asymptotic expansion for random tensor models

Résumé : Three-dimensional random tensor models are a natural generalization of the celebrated matrix models. The associated tensor graphs, or 3D maps, can be classified with respect to a particular integer or half-integer, the degree of the respective graph. I will present in this talk a combinatorial analysis of the general term of the asymptotic expansion in N, the size of the tensor, of a particular random tensor model, the so-called multi-orientable model. I will then present some enumerative results and show which are the dominant configurations of a given degree; several examples will also be given.


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