Abelian sandpile model

Known as: Wiesenfeld, Sand pile, Abelian sandpile 
The Abelian sandpile model, also known as the Bak–Tang–Wiesenfeld model, was the first discovered example of a dynamical system displaying self… (More)
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2008
2008
In the Abelian sandpile models introduced by Dhar, long-time behavior is determined by an invariant measure supported uniformly… (More)
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2006
2006
In 1988, Bak, Tang and Wiesenfeld (BTW) introduced a lattice model of what they called “self-organized criticality”. Since its… (More)
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2005
2005
In 1987, Bak, Tang and Wiesenfeld (BTW) introduced a lattice model of what they called “self-organized criticality”. Since its… (More)
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2005
2005
We define stabilizability of an infinite volume height configuration and of a probability measure on height configurations. We… (More)
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2002
2002
We study the distribution of heights in the self-organired critical state of the Abelian sandpile model an a d-dimensional… (More)
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2002
2002
We consider the standard Abelian sandpile process on the Bethe lattice. We show the existence of the thermodynamic limit for the… (More)
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2002
2002
We establish an equivalence between the undirected Abelian sandpile model and the q ~ 0 limit of the q-state Potts model. The… (More)
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2001
2001
We study Bak, Tang and Wiesenfeld’s Abelian sandpile model of selforganised criticality on the Bethe lattice. Exact expressions… (More)
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2000
2000
The existing estimation of the upper critical dimension of the Abelian Sandpile Model is based on a qualitative consideration of… (More)
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1995
1995
The abelian sandpile models feature a finite abelian group G generated by the operators corresponding to particle addition at… (More)
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