Geodesic
Extremality of the translation-invariant Gibbs measures for the Potts model on the Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 1, pp. 117-134 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study translation-invariant Gibbs measures for the ferromagnetic Potts model with $q$ states on the Cayley tree of order $k$ and generalize some earlier results. We consider the question of the extremality of the known translation-invariant Gibbs measures for the Potts model with three states on the Cayley tree of order $k=3$.
Keywords: Cayley tree, Potts model, Gibbs measure, translation-invariant measure, measure extremality.
Mots-clés : configuration 
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U. A. Rozikov; R. M. Khakimov; F. Kh. Khaidarov. Extremality of the translation-invariant Gibbs measures for the Potts model on the Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 1, pp. 117-134. http://geodesic.mathdoc.fr/item/TMF_2018_196_1_a9/

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