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.
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Contributor : Enrico Formenti <>
Submitted on : Tuesday, August 12, 2008 - 4:37:47 PM
Last modification on : Monday, November 5, 2018 - 3:48:02 PM

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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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