Phase transition for the Ising model on the Critical Lorentzian triangulation

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dc.creatorKrikun, Maxim
dc.creatorYambartsev, Anatoly
dc.date2008-10-13
dc.date.accessioned2026-07-07T10:09:35Z
dc.date.available2026-07-07T10:09:35Z
dc.descriptionIsing model without external field on an infinite Lorentzian triangulation sampled from the uniform distribution is considered. We prove uniqueness of the Gibbs measure in the high temperature region and coexistence of at least two Gibbs measures at low temperature. The proofs are based on the disagreement percolation method and on a variant of Peierls method. The critical temperature is shown to be constant a.s.
dc.identifierhttps://arxiv.org/abs/0810.2182
dc.identifierhttp://arxiv.org/abs/0810.2182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171364
dc.subjectProbability
dc.subjectCombinatorics
dc.subject82B20; 82B26; 60J80
dc.titlePhase transition for the Ising model on the Critical Lorentzian triangulation
dc.typetext

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