Geodesic
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 3, pp. 448-456 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a three-state solid-on-solid (SOS) model on a Cayley tree in the presence of an external field. We show that periodic Gibbs measures are either translation invariant or periodic with period two. We describe two-periodic Gibbs measures of the model.
Keywords: Cayley tree, Gibbs measure, SOS model, external field, periodic Gibbs measure. 
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     title = {Periodic {Gibbs} measures for the~three-state {SOS} model on {a~Cayley} tree with a~translation-invariant external field},
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O. Sh. Karshiboev. Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 3, pp. 448-456. http://geodesic.mathdoc.fr/item/TMF_2022_212_3_a8/

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