Fertile Three State Hard-Core Models on a Cayley Tree

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dc.creatorRozikov, U. A.
dc.creatorShoyusupov, Sh. A.
dc.date2007-03-13
dc.date.accessioned2026-07-07T07:51:39Z
dc.date.available2026-07-07T07:51:39Z
dc.descriptionWe consider nearest-neighbor fertile hard-core models, with three states, on a homogeneous Cayley tree. It is known that there are four type of such models. We investigate all of them and describe translation-invariant and periodic hard-core Gibbs measures. Also we construct a continuum set of non-periodic Gibbs measures.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0703039
dc.identifierhttp://arxiv.org/abs/math-ph/0703039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125592
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject82C26
dc.titleFertile Three State Hard-Core Models on a Cayley Tree
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