Geodesic
Fertile HC models with three states on a~Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 3, pp. 412-424

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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 
@article{TMF_2008_156_3_a6,
     author = {U. A. Rozikov and Sh. A. Shoyusupov},
     title = {Fertile {HC} models with three states on {a~Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {412--424},
     publisher = {mathdoc},
     volume = {156},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_3_a6/}
}
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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/