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On Graph Parameters Guaranteeing Fast Sandpile Diffusion

On Graph Parameters Guaranteeing Fast Sandpile Diffusion

The Abelian Sandpile Model (Dhar 1990) is a discrete diffusion process, defined on graphs, which serves as the standard model of self-organized criticality. One is allowed to add sand particles on the nodes of the graph such that each node can stably hold at most some bounded number of particles. …