On 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.
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Submitted on : Thursday, June 29, 2006 - 11:46:40 AM
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Enrico Formenti, Benoît Masson, Theophilos Pisokas. On symmetric sandpiles. Fundamenta Informaticae, Polskie Towarzystwo Matematyczne, 2007, 76 (1), pp.91--112. ⟨hal-00083034⟩

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