A permutations representation that knows what "Eulerian" meansArticle
Authors: Roberto Mantaci 1; Fanja Rakotondrajao 2
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Roberto Mantaci;Fanja Rakotondrajao
1 Laboratoire d'informatique Algorithmique : Fondements et Applications
2 Département de Mathématiques [Antananarivo]
Eulerian numbers (and ''Alternate Eulerian numbers'') are often interpreted as distributions of statistics defined over the Symmetric group. The main purpose of this paper is to define a way to represent permutations that provides some other combinatorial interpretations of these numbers. This representation uses a one-to-one correspondence between permutations and the so-called \emphsubexceedant functions.