Geodesic
Extremality of translation-invariant Gibbs measures for the~$\lambda$-model on the~binary Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 3, pp. 470-484

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We consider the $\lambda$-model on the Cayley tree of order $k=2$. Under some conditions, we study translation-invariant Gibbs measures. Moreover, we investigate whether these Gibbs measures are extremal or nonextremal in the set of all Gibbs measures.
Mots-clés : phase transition
Keywords: extremality, Gibbs measure. 
@article{TMF_2022_210_3_a10,
     author = {F. M. Mukhamedov and M. M. Rahmatullaev and M. A. Rasulova},
     title = {Extremality of translation-invariant {Gibbs} measures for the~$\lambda$-model on the~binary {Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {470--484},
     publisher = {mathdoc},
     volume = {210},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_210_3_a10/}
}
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F. M. Mukhamedov; M. M. Rahmatullaev; M. A. Rasulova. Extremality of translation-invariant Gibbs measures for the~$\lambda$-model on the~binary Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 3, pp. 470-484. http://geodesic.mathdoc.fr/item/TMF_2022_210_3_a10/