Geodesic
On periodic Gibbs measures of the~Ising model corresponding to new subgroups of the~group representation of a~Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 2, pp. 302-316

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We give a full description of all index-$4$ subgroups of the group representation of a Cayley tree. Also, we give new weakly periodic Gibbs measures of the Ising model corresponding to index-$4$ subgroups of the group representation of the Cayley tree.
Keywords: Cayley tree, group representation of Cayley tree, subgroups, Ising model, Gibbs measure. 
@article{TMF_2022_210_2_a6,
     author = {F. Kh. Khaidarov and R. A. Ilyasova},
     title = {On periodic {Gibbs} measures of {the~Ising} model corresponding to new subgroups of the~group representation of {a~Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {302--316},
     publisher = {mathdoc},
     volume = {210},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_210_2_a6/}
}
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F. Kh. Khaidarov; R. A. Ilyasova. On periodic Gibbs measures of the~Ising model corresponding to new subgroups of the~group representation of a~Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 2, pp. 302-316. http://geodesic.mathdoc.fr/item/TMF_2022_210_2_a6/