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.
@article{hal-01182963,
author = {Novelli, Jean-Christophe and Rossin, Dominique},
title = {On the Toppling of a Sand Pile},
journal = {HAL},
volume = {2001},
number = {0},
year = {2001},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01182963}
}
Novelli, Jean-Christophe; Rossin, Dominique. On the Toppling of a Sand Pile. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01182963/