Authors: Roberto Mantaci ¹; Fanja Rakotondrajao ²

• 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.