Geodesic
Free energies of the~Potts model on a~Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 1, pp. 112-123

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For the Potts model on the Cayley tree, we obtain some explicit formulas for the free energies and entropies in the case of vector-valued boundary conditions. These formulas include translation-invariant, periodic, and Dobrushin-like boundary conditions and also those corresponding to weakly periodic Gibbs measures.
Keywords: Cayley tree, Potts model, boundary condition, Gibbs measure, free energy, entropy. 
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     author = {U. A. Rozikov and M. M. Rakhmatullaev},
     title = {Free energies of {the~Potts} model on {a~Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2017_190_1_a7/}
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U. A. Rozikov; M. M. Rakhmatullaev. Free energies of the~Potts model on a~Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 1, pp. 112-123. http://geodesic.mathdoc.fr/item/TMF_2017_190_1_a7/