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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.PR2008★ 2 cited
The high temperature Ising model on the triangular lattice is a critical percolation model
Andras Balint, Federico Camia, Ronald Meester
The Ising model at inverse temperature and zero external field can be obtained via the Fortuin-Kasteleyn (FK) random-cluster model with and density of open edges $p=1-e^{…