On symmetric sandpiles

Computer Science – Computational Complexity

Scientific paper

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Will be presented at ACRI2006 conference

Scientific paper

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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