Loss Network Representation Of Peierls Contours

dc.creatorFernandez R.
dc.creatorFerrari P.A.
dc.creatorGarcia N.L.
dc.date2001
dc.date2015-06-26T14:42:38Z
dc.date2015-11-26T14:15:40Z
dc.date2015-06-26T14:42:38Z
dc.date2015-11-26T14:15:40Z
dc.date.accessioned2018-03-28T21:16:36Z
dc.date.available2018-03-28T21:16:36Z
dc.identifier
dc.identifierAnnals Of Probability. , v. 29, n. 2, p. 902 - 937, 2001.
dc.identifier911798
dc.identifier10.1214/aop/1008956697
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-0035537297&partnerID=40&md5=568c727c751accfb5ef3fae87a6202cb
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/94881
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/94881
dc.identifier2-s2.0-0035537297
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1242860
dc.descriptionWe present a probabilistic approach for the study of systems with exclusions in the regime traditionally studied via cluster-expansion methods. In this paper we focus on its application for the gases of Peierls contours found in the study of the Ising model at low temperatures, but most of the results are general. We realize the equilibrium measure as the invariant measure of a loss network process whose existence is ensured by a subcriticality condition of a dominant branching process. In this regime the approach yields, besides existence and uniqueness of the measure, properties such as exponential space convergence and mixing, and a central limit theorem. The loss network converges exponentially fast to the equilibrium measure, without metastable traps. This convergence is faster at low temperatures, where it leads to the proof of an asymptotic Poisson distribution of contours. Our results on the mixing properties of the measure are comparable to those obtained with "duplicated-variables expansion," used to treat systems with disorder and coupled map lattices. It works in a larger region of validity than usual cluster-expansion formalisms, and it is not tied to the analyticity of the pressure. In fact, it does not lead to any kind of expansion for the latter, and the properties of the equilibrium measure are obtained without resorting to combinatorial or complex analysis techniques.
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dc.languageen
dc.publisher
dc.relationAnnals of Probability
dc.rightsaberto
dc.sourceScopus
dc.titleLoss Network Representation Of Peierls Contours
dc.typeArtículos de revistas


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