Abstract

We analyse the abelian sandpile model on $\mathbbm{Z}^d$ for the starting configuration of nn particles in the origin and 2d−22d-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(n1/d)O(n^{1/d}).

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