Growth Rates and Explosions in Sandpiles

Abstract

We study the abelian sandpile growth model, where n particles are added at the origin on a stable background configuration in Z. Any site with at least 2d particles then topples by sending one particle to each neighbor. We find that with constant background height h ≤ 2d − 2, the diameter of the set of sites that topple has order n. This was previously… (More)
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@inproceedings{Fey2009GrowthRA, title={Growth Rates and Explosions in Sandpiles}, author={Anne Fey and Yuval Peres}, year={2009} }