%0 Journal Article %T A permutations representation that knows what " Eulerian" means %A Roberto Mantaci %A Fanja Rakotondrajao %J Discrete Mathematics & Theoretical Computer Science %D 2001 %I Discrete Mathematics & Theoretical Computer Science %X 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 subexceedant functions. %U http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/139