28 citations · 77 across the 12 of their papers we have counts for
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math-ph2012★ 1 cited
Critical densities in sandpile models with quenched or annealed disorder
Anne Fey, Ronald Meester
We discuss various critical densities in sandpile models. The stationary density is the average expected height in the stationary state of a finite-volume model; the transition den…
math-ph2008
Uniqueness of the stationary distribution and stabilizability in Zhang's sandpile model
Anne Fey, Haiyan Liu, Ronald Meester
We show that Zhang's sandpile model (N,[a,b]) on N sites and with uniform additions on [a,b] has a unique stationary measure for all 0 <= a < b <= 1. This generalizes earlier resul…
math-ph2007★ 13 cited
A probabilistic approach to Zhang's sandpile model
Anne Fey, Ronald Meester, Corrie Quant +1
The current literature on sandpile models mainly deals with the abelian sandpile model (ASM) and its variants. We treat a less known - but equally interesting - model, namely Zhang…