Geodesic
Periodic Gibbs Measures for the Ising Model with Competing Interactions
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 515-523

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For the Ising model with competing interactions on the second-order Cayley tree, we find the operator corresponding to the periodic Gibbs distributions with period two and determine the invariant subsets of this operator, which are used to describe the periodic Gibbs distributions.
Keywords: Cayley tree, limit Gibbs measure, periodic Gibbs measure.
Mots-clés : configuration 
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     author = {Kh. A. Nazarov and U. A. Rozikov},
     title = {Periodic {Gibbs} {Measures} for the {Ising} {Model} with {Competing} {Interactions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a11/}
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Kh. A. Nazarov; U. A. Rozikov. Periodic Gibbs Measures for the Ising Model with Competing Interactions. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 515-523. http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a11/