Perfect simulation and finitary coding for multicolor systems with interactions of infinite range

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dc.creatorGalves, A.
dc.creatorGarcia, N. L.
dc.creatorLoecherbach, E.
dc.date2008-09-20
dc.date2009-04-04
dc.date.accessioned2026-07-07T12:59:47Z
dc.date.available2026-07-07T12:59:47Z
dc.descriptionWe consider a particle system on $Z^d$ with finite state space and interactions of infinite range. Assuming that the rate of change is continuous and decays sufficiently fast, we introduce a perfect simulation algorithm for the stationary process. The algorithm follows from a representation of the multicolor system as a finitary coding from a sequence of independent uniform random variables. This implies that the process is exponentially ergodic. The basic tool we use is a representation of the infinite range change rates as a mixture of finite range change rates.
dc.identifierhttps://arxiv.org/abs/0809.3494
dc.identifierhttp://arxiv.org/abs/0809.3494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225679
dc.subjectProbability
dc.subject60K35; 82B20; 28D99
dc.titlePerfect simulation and finitary coding for multicolor systems with interactions of infinite range
dc.typetext

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