60 citations · 188 across the 11 of their papers we have counts for
11 papers
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…
Metastability threshold for anisotropic bootstrap percolation in three dimensions
Aernout van Enter, Anne Fey
In this paper we analyze several anisotropic bootstrap percolation models in three dimensions. We present the order of magnitude for the metastability threshold for a fairly genera…
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…
The approach to criticality in sandpiles
Anne Fey, Lionel Levine, David B. Wilson
A popular theory of self-organized criticality relates the critical behavior of driven dissipative systems to that of systems with conservation. In particular, this theory predicts…
Driving sandpiles to criticality and beyond
Anne Fey, Lionel Levine, David B. Wilson
A popular theory of self-organized criticality relates driven dissipative systems to systems with conservation. This theory predicts that the stationary density of the abelian sand…
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…