60 citations · 188 across the 11 of their papers we have counts for
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math.CO2010★ 5 cited
Limiting shapes for a non-abelian sandpile growth model and related cellular automata
Anne Fey, Haiyan Liu
We present limiting shape results for a non-abelian variant of the abelian sandpile growth model (ASGM), some of which have no parallel in the ASGM. One of our limiting shapes is a…
math.CO2009★ 60 cited
Growth Rates and Explosions in Sandpiles
Anne Fey, Lionel Levine, Yuval Peres
We study the abelian sandpile growth model, where n particles are added at the origin on a stable background configuration in Z^d. Any site with at least 2d particles then topples…