Geodesic
Translation Invariance of the periodic Gibbs measures for the Potts model on the Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 291-301 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the Potts model with a zero external field on the Cayley tree. For the antiferromagnetic Potts model with $q$ states on a second-order Cayley tree and for the ferromagnetic Potts model with $q$ states on a $k$th-order Cayley tree, we show that all periodic Gibbs measures are translation-invariant for all parameter values.
Keywords: Cayley tree, Potts model, Gibbs measure, periodic measure, translation-invariant measure.
Mots-clés : configuration 
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     author = {R. M. Khakimov and M. T. Makhammadaliev},
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R. M. Khakimov; M. T. Makhammadaliev. Translation Invariance of the periodic Gibbs measures for the Potts model on the Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 291-301. http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a8/

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