Uniqueness of the stationary distribution and stabilizability in Zhang's sandpile model
Uniqueness of the stationary distribution and stabilizability in Zhang's sandpile model
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 $0\leq a < b\leq 1$. This generalizes earlier results of cite{anne} where this was shown in some special cases. We define the infinite volume Zhang's …