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arXiv:1102.4470 [math.CO]AbstractReferencesReviewsResources

A note on the abelian sandpile in Z^d

Mykhaylo Tyomkyn

Published 2011-02-22Version 1

We analyse the abelian sandpile model on $\mathbbm{Z}^d$ for the starting configuration of $n$ particles in the origin and $2d-2$ particles otherwise. We give a new short proof of the theorem of Fey, Levine and Peres \cite{FLP} that the radius of the toppled cluster of this configuration is $O(n^{1/d})$.

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