Organized versus self-organized criticality in the abelian sandpile model

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dc.creatorFey, A.
dc.creatorRedig, F.
dc.date2005-10-17
dc.date2005-11-17
dc.date.accessioned2026-07-07T06:47:03Z
dc.date.available2026-07-07T06:47:03Z
dc.descriptionWe define stabilizability of an infinite volume height configuration and of a probability measure on height configurations. We show that for high enough densities, a probability measure cannot be stabilized. We also show that in some sense the thermodynamic limit of the uniform measures on the recurrent configurations of the abelian sandpile model (ASM) is a maximal element of the set of stabilizable measures. In that sense the self-organized critical behavior of the ASM can be understood in terms of an ordinary transition between stabilizable and non-stabilizable
dc.description17 pages, appeared in Markov Processes and Related Fields 2005
dc.identifierhttps://arxiv.org/abs/math-ph/0510060
dc.identifierhttp://arxiv.org/abs/math-ph/0510060
dc.identifierMarkov Processes and Related Fields 2005, vol.11(3), p. 425-442
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103533
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject60K35, 82C22
dc.titleOrganized versus self-organized criticality in the abelian sandpile model
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