### On the Toppling of a Sand Pile

*Jean-Christophe Novelli, Dominique Rossin*

#### Abstract

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.

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