Journée-séminaire de combinatoire

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

Le 11 octobre 2011 à 10h30 en B311, Miguel Mendez nous parlera de : Combinatorial differential equations and shift-plethysm

Résumé : The combinatorial solution to an autonomous differential equation y´=φ(y) was shown to be the family of increasing φ-enriched trees (Leroux-Viennot). We introduce a generalization of this kind of differential equations that uses the operation of shift-plethysm instead of usual substitution. Its solution is again a family of φ-enriched trees with labels that give information related to the length of each branch.

 [Slides.pdf]


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