Abstract
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.
Citation
Christian Maes. Frank Redig. Ellen Saada. "The Abelian sandpile model on an infinite tree." Ann. Probab. 30 (4) 2081 - 2107, October 2002. https://doi.org/10.1214/aop/1039548382
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