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The abelian sandpile model on a random binary tree
abelian sandpile model random binary tree
2012/2/24
We study the abelian sandpile model on a random binary tree. Using a transfer matrix approach introduced by Dhar & Majumdar, we prove exponential decay of correlations, and in a small supercritical re...
Conservation laws for strings in the Abelian Sandpile Model
Conservation laws Abelian Sandpile Model
2010/4/2
The Abelian Sandpile generates complex and beautiful patterns and seems to display allometry. On the plane, beyond patches, patterns periodic in both dimensions, we remark the presence of structures p...