| author: | Jean-Christophe Novelli and Dominique Rossin |
|---|---|
| title: | On the Toppling of a Sand Pile |
| keywords: | Sand Pile Model, Young Tableaux |
| 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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| reference: | Jean-Christophe Novelli and Dominique Rossin (2001), On the Toppling of a Sand Pile, in Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AA, pp. 275-286 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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| pdf-source: | dmAA0120.pdf (89 K) |
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