On symmetric sandpiles

Enrico Formenti; Benoît Masson; Theophilos Pisokas

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On symmetric sandpiles

Enrico Formenti·Benoît Masson·Theophilos Pisokas

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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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Enrico Formenti, Benoît Masson, Theophilos Pisokas. 2006-06-29. On symmetric sandpiles. https://arxiv.org/abs/cs/0606120

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