The Abelian Sandpile Model on an Infinite Tree
classification
🧮 math-ph
math.MPmath.PR
keywords
abelianexistenceinfiniteprocesssandpilevolumebetheconsider
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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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