Geodesic
Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 2, pp. 258-279 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study a "hard-core" model on a Cayley tree. In the case of a normal divisor of index 4, we show the uniqueness of weakly periodic Gibbs measures under certain conditions on the parameters. Moreover, we prove that there exist weakly periodic (nonperiodic) Gibbs measures different from those previously known.
Keywords: Cayley tree, hard-core model, Gibbs measure, translation-invariant measure, periodic measure, weakly periodic measure.
Mots-clés : configuration 
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R. M. Khakimov; M. T. Makhammadaliev. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 2, pp. 258-279. http://geodesic.mathdoc.fr/item/TMF_2020_204_2_a6/

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