Geodesic
Translation-invariant Gibbs measures for the Blum–Kapel model on a Cayley tree
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 2, pp. 239-255 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper, translation-invariant Gibbs measures for the Blum–Kapel model on a Cayley tree of order $k$ are considered. An approximate critical temperature $T_{cr}$ is found such that for $T\geq T_{cr}$ there exists a unique translation-invariant Gibbs measure and for $0 there are exactly three translation-invariant Gibbs measures. In addition, the problem of (not) extremality for the unique Gibbs measure is studied. 
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Nosir Khatamov; Rustam Khakimov. Translation-invariant Gibbs measures for the Blum–Kapel model on a Cayley tree. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 2, pp. 239-255. http://geodesic.mathdoc.fr/item/JMAG_2019_15_2_a5/

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