Geodesic
Fertile HC models with three states on a Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 3, pp. 412-424 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider fertile hard-core (HC) models with three states on a homogeneous Cayley tree. It is known that four types of such models exist. For these models, we describe the translation-invariant and periodic HC Gibbs measures. We also construct a uncountable set of nonperiodic Gibbs measures.
Keywords: Cayley tree, HC model, Gibbs measure.
Mots-clés : configuration 
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U. A. Rozikov; Sh. A. Shoyusupov. Fertile HC models with three states on a Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 3, pp. 412-424. http://geodesic.mathdoc.fr/item/TMF_2008_156_3_a6/

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