Geodesic
On the Toppling of a Sand Pile
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) (2001).

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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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     author = {Novelli, Jean-Christophe and Rossin, Dominique},
     title = {On the {Toppling} of a {Sand} {Pile}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)},
     year = {2001},
     doi = {10.46298/dmtcs.2283},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2283/}
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Novelli, Jean-Christophe; Rossin, Dominique. On the Toppling of a Sand Pile. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) (2001). doi : 10.46298/dmtcs.2283. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2283/

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