Geodesic
Nonuniqueness of a~Gibbs measure for a~model on the~Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 311-322

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We propose a model on the Cayley tree and prove that a uncountable set of $\widehat G$-periodic Gibbs measures exists for this model, in contrast to models studied previously.
Keywords: Cayley tree, hard-core model, Gibbs measure.
Mots-clés : configuration 
@article{TMF_2011_167_2_a11,
     author = {U. A. Rozikov and G. T. Madgoziev},
     title = {Nonuniqueness of {a~Gibbs} measure for a~model on {the~Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {311--322},
     publisher = {mathdoc},
     volume = {167},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a11/}
}
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U. A. Rozikov; G. T. Madgoziev. Nonuniqueness of a~Gibbs measure for a~model on the~Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 311-322. http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a11/