A note on the abelian sandpile in Z^d

Details A note on the abelian sandpile in Z^d A note on the abelian sandpile in Z^d

2011-02-22

arxiv.org/abs/1102.4470v1

Mathematics

Combinatorics

Scientific paper

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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