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Random Walks, Electric Networks and The Transience Class problem of Sandpiles

Random Walks, Electric Networks and The Transience Class problem of Sandpiles

The Abelian Sandpile Model is a discrete diffusion process defined on graphs (Dhar [14], Dhar et al. [15]) which serves as the standard model of self-organized criticality. The transience class of a sandpile is defined as the maximum number of particles that can be added without making the system recurrent …