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Stabilizability and percolation in the infinite volume sandpile model

Stabilizability and percolation in the infinite volume sandpile model

We study the sandpile model in infinite volume on ℤd. In particular, we are interested in the question whether or not initial configurations, chosen according to a stationary measure μ, are μ-almost surely stabilizable. We prove that stabilizability does not depend on the particular procedure of stabilization we adopt. In …