Approach to criticality in sandpiles

A popular theory of self-organized criticality predicts that the stationary density of the Abelian sandpile model equals the threshold density of the corresponding fixed-energy sandpile. We recently announced that this “density conjecture” is false when the underlying graph is any of Z2, the complet...

Full description

Bibliographic Details
Main Authors: Levine, Lionel, Fey, Anne, Wilson, David B.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Physical Society 2011
Online Access:http://hdl.handle.net/1721.1/60853