On the thermodynamic limit for a one-dimensional sandpile process

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dc.creatorMaes, C.
dc.creatorRedig, F.
dc.creatorSaada, E.
dc.creatorVan Moffaert, A.
dc.date1998-10-15
dc.date.accessioned2026-07-07T05:26:28Z
dc.date.available2026-07-07T05:26:28Z
dc.descriptionConsidering the standard abelian sandpile model in one dimension, we construct an infinite volume Markov process corresponding to its thermodynamic (infinite volume) limit. The main difficulty we overcome is the strong non-locality of the dynamics. However, using similar ideas as in recent extensions of the standard Gibbs formalism for lattice spin systems, we can identify a set of `good' configurations on which the dynamics is effectively local. We prove that every configuration converges in a finite time to the unique invariant measure.
dc.identifierhttps://arxiv.org/abs/math/9810093
dc.identifierhttp://arxiv.org/abs/math/9810093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77560
dc.subjectProbability
dc.titleOn the thermodynamic limit for a one-dimensional sandpile process
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