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Advances in Symmetric Sandpiles

Formenti E., Masson B., Pisokas T.

Fundamenta Informaticae

2007

Vol. 76, nr 1-2

91-112

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.