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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...
Activity Dependent Branching Ratios in Stocks, Solar X-ray Flux, and the Bak-Tang-Wiesenfeld Sandpile Model
Activity Dependent Branching Ratios Bak-Tang-Wiesenfeld Sandpile Model
2010/11/2
We define an activity dependent branching ratio that allows comparison of different time series
Xt. The branching ratio bx is defined as bx = E[x/x]. The random variable x is the value of
the next...