Journée-séminaire de combinatoire

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

Le 05 avril 2016 à 14h00 en B107, Sylvain Carrozza nous parlera de : O(N) random tensor models

Résumé : I will introduce a class of three indices tensor models, endowed with O(N)⊗3 invariance (N being the size of the tensor). They generate weights for general 3-colored graphs, which are not necessarily bipartite. Relying on combinatorial properties of colored graphs, I will first prove the existence of a 1/N expansion for any such model. I will then focus on a model with two parameters, and illustrate how standard methods from analytic combinatorics allow to compute physical quantities such as critical exponents.


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