1 Laboratoire d'informatique Algorithmique : Fondements et Applications
2 Laboratoire d'informatique de l'École polytechnique [Palaiseau]
In this paper, we provide the first study of the sand pile model SPM(0) where we assume that all the grains are numbered with a distinct integer.We obtain a lower bound on the number of terminal sand piles by establishing a bijection between a subset of these sand piles and the set of shifted Young tableaux. We then prove that this number is at least factorial.