The Abelian sandpile model on an infinite tree
Maes, Christian ; Redig, Frank ; Saada, Ellen
Ann. Probab., Tome 30 (2002) no. 1, p. 2081-2107 / Harvested from Project Euclid
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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.
Publié le : 2002-10-14
Classification:  Sandpile dynamics,  nonlocal interactions,  interacting particle systems,  thermodynamic limit,  82C22,  60K35 
@article{1039548382,
     author = {Maes, Christian and Redig, Frank and Saada, Ellen},
     title = {The Abelian sandpile model on an infinite tree},
     journal = {Ann. Probab.},
     volume = {30},
     number = {1},
     year = {2002},
     pages = { 2081-2107},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1039548382}
}

Maes, Christian; Redig, Frank; Saada, Ellen. The Abelian sandpile model on an infinite tree. Ann. Probab., Tome 30 (2002) no. 1, pp.  2081-2107. http://gdmltest.u-ga.fr/item/1039548382/