Geodesic
Periodic Gibbs measures for the~Potts model on the~Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 300-312

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We study the Potts model on the Cayley tree. We demonstrate that for this model with a zero external field, periodic Gibbs measures on some invariant sets are translation invariant. Furthermore, we find the conditions under which the Potts model with a nonzero external field admits periodic Gibbs measures.
Keywords: Cayley tree, Potts model, Gibbs measure, periodic measure, translation-invariant measure.
Mots-clés : configuration 
@article{TMF_2013_175_2_a9,
     author = {U. A. Rozikov and R. M. Khakimov},
     title = {Periodic {Gibbs} measures for {the~Potts} model on {the~Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {300--312},
     publisher = {mathdoc},
     volume = {175},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a9/}
}
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U. A. Rozikov; R. M. Khakimov. Periodic Gibbs measures for the~Potts model on the~Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 300-312. http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a9/