Literature Cited
R. J. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, New York (1982).
R. L. Dobrushin, Teor. Veroyatn. Ee Primen.,2, 201 (1968).
C. J. Preston, Gibbs States on Countable Sets, CUP, London (1977).
D. Ruelle, Statistical Mechanics, New York (1969).
Ya. G. Sinai, The Thoery of Phase Transitions [in Russian], Nauka, Moscow (1980).
F. Peruggi, F. di Liberto, and G. Monroy, J. Phys. A,16, 811 (1983).
F. Peruggi, J. Math. Phys.,25, 3303 (1984).
F. Peruggi, J. Math. Phys.,25, 3316 (1984).
F. Peruggi, F. di Liberto, and G. Monroy, Physica (Utrecht) A,141, 151 (1987).
H. O. Georgii, “Gibbs measures and phase transitions,” in: De Gruyter Studies in Mathematics, Vol. 9, de Gruyter, Berlin (1988).
F. Spitzer, Ann. Prob.,3, 387 (1975).
Y. Higuchi, Publ. RIMS Kyoto Univ.,13, 335 (1977).
C. M. Series and Ya. G. Sinai, “Ising models on the Lobachevsky plane,” Preprint Math. Inst. Warwick Univ. Coventry, UK (1989); Commun. Math. Phys.,128, 63 (1990).
Additional information
V. I. Romanov Institute of Mathematics, Uz. SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 85, No. 2, pp. 163–175, November, 1990.
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Ganikhodzhaev, N.N. Pure phases of the ferromagnetic Potts model with three states on a second-order Bethe lattice. Theor Math Phys 85, 1125–1134 (1990). https://doi.org/10.1007/BF01086840
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DOI: https://doi.org/10.1007/BF01086840