The Abelian Sandpile Model on an Infinite Tree

Details The Abelian Sandpile Model on an Infinite Tree The Abelian Sandpile Model on an Infinite Tree

2001-01-05

arxiv.org/abs/math-ph/0101005v1

Physics

Mathematical Physics

Scientific paper

We consider the standard Abelian sandpile process on the Bethe lattice. We
show the existence of the thermodynamic limit for the finite volume stationary
measures and the existence of a unique infinite volume Markov process
exhibiting features of self-organized criticality.

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