Geodesic
Functional equations for the Potts model with competing interactions on a Cayley tree
Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 3, pp. 401-404

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In this paper, we consider an infinite system of functional equations for the Potts model with competing interactions of radius $r=2$ and countable spin values $0,1,\dots$, and non-zero-filled, on a Cayley tree of order two. We describe conditions on $h_x$ guaranteeing compatibility of distributions $\mu^{(n)}(\sigma_n)$.
Keywords: Cayley tree, Potts model, Gibbs measures, functional equations. 
@article{NANO_2016_7_3_a0,
     author = {G. I. Botirov},
     title = {Functional equations for the {Potts} model with competing interactions on a {Cayley} tree},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {401--404},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2016_7_3_a0/}
}
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G. I. Botirov. Functional equations for the Potts model with competing interactions on a Cayley tree. Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 3, pp. 401-404. http://geodesic.mathdoc.fr/item/NANO_2016_7_3_a0/