Geodesic
Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree
Matematičeskie zametki, Tome 112 (2022) no. 1, pp. 106-117

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For the Potts model with external field and a countable set of spin values on the Cayley tree of order $k\ge2$, the set of periodic ground states corresponding to normal divisors of indices 2 and 4 of the group presentation of the Cayley tree is described and the set of nonperiodic ground states is studied.
Keywords: Cayley tree, Potts model with external field, ground states. 
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     author = {M. M. Rahmatullaev and M. A. Rasulova},
     title = {Periodic {Ground} {States} for the {Potts} {Model} with {External} {Field} and a {Countable} {Set} of {Spin} {Values} on the {Cayley} {Tree}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
     volume = {112},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a10/}
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M. M. Rahmatullaev; M. A. Rasulova. Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree. Matematičeskie zametki, Tome 112 (2022) no. 1, pp. 106-117. http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a10/