Advances in symmetric sandpiles

Abstract : A symmetric version of the well-known SPM model for sandpiles is introduced. We prove that the new model has fixed-point dynamics. Although there might be several fixed points, a precise description of the fixed points is given. Moreover, we provide a simple closed formula for counting the number of fixed points originated by initial conditions made of a single column of grains. Bounds for the transient length are also given.
Type de document :
Article dans une revue
Fundamenta Informaticae, Polskie Towarzystwo Matematyczne, 2007, 76 (1-2), pp.91-112
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https://hal.archives-ouvertes.fr/hal-00311074
Contributeur : Enrico Formenti <>
Soumis le : mardi 12 août 2008 - 16:37:47
Dernière modification le : lundi 21 mars 2016 - 17:51:25

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  • HAL Id : hal-00311074, version 1

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Benoît Masson, Enrico Formenti, Theophilos Pisokas. Advances in symmetric sandpiles. Fundamenta Informaticae, Polskie Towarzystwo Matematyczne, 2007, 76 (1-2), pp.91-112. <hal-00311074>

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