Geodesic
Localization of translation-invariant Gibbs measures for the~Potts and ``solid-on-solid'' models on a~Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 24-35

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We study Potts and “solid-on-solid” models with $q\ge2$ states on the Cayley tree of order $k\ge1$. For any values of the parameter $q$ in the Potts model and $q\le6$ in the “solid-on-solid” model, we find sets containing all translation-invariant Gibbs measures.
Keywords: Cayley tree, Gibbs measure, Potts model, “solid-on-solid” model, periodic measure, translation-invariant measure.
Mots-clés : configuration 
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     author = {R. M. Khakimov},
     title = {Localization of translation-invariant {Gibbs} measures for {the~Potts} and ``solid-on-solid'' models on {a~Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2014_179_1_a2/}
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R. M. Khakimov. Localization of translation-invariant Gibbs measures for the~Potts and ``solid-on-solid'' models on a~Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 24-35. http://geodesic.mathdoc.fr/item/TMF_2014_179_1_a2/