Literature Cited
V. A. Malyshev, “Perturbations of Gibbs random fields,” in: Multicomponent Random Systems [in Russian], Nauka, Moscow (1978), pp. 258–275.
R. L. Dobrushin and E. A. Pecherski, Colloquia Mathematica Societatis Janos Bolyai Vol. 27, Random Fields, Esztergom, Hungary (1979), pp. 223–261.
A. Nasr, Tr. MMO,32, 187 (1975).
V. A. Malyshev, R. A. Minlos, E. N. Petrova and Yu. A. Terletskii, Itogi Nauki i Bernetika,19, 3 (1982).
R. L. Dobrushin, Funktsional. Analiz i Ego Prilozhen.,2, 31 (1968).
R. L. Dobrushin, Funktional. Analiz i Ego Prilozhen.,2, 44 (1968).
O. Lanford and D. Ruelle, Commun. Math. Phys.,13, 194 (1969).
V. M. Gertsik, Izv. Akad. Nauk SSSR Ser. Mat.,40, 448 (1976).
S. A. Pirogov and Ya. G. Sinai, Teor. Mat. Fiz.,25, 358 (1975).
S. A. Pirogov and Ya. G. Sinai, Teor. Mat. Fiz.,26, 61 (1976).
R. A. Minlos and Ya. G. Sinai, Tr. MMO,19, 113 (1968).
V. A. Malyshev, Usp. Mat. Nauk,35, 3 (1980).
M. Zahradnik, Commun. Math. Phys.,93, 559 (1984).
R. L. Dobrushin and S. B. Shlosman, “Translational invariance of Gibbs states in two dimensions,” Preprint [in Russian], Institute of Information Transmission Problems, USSR Academy of Sciences, Moscow (1984).
R. L. Dobrushin and S. B. Shlosman, “The problem of the stability of ground states,” Preprint [in Russian], Institute of Information Transmission Problems, USSR Academy of Sciences, Moscow (1984).
V. A. Malyshev and I. V. Nickolaev, Stat. Phys.,35, 375 (1984).
Additional information
Institute of Mathematics, Armenian SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 63, No. 2, pp. 280–290, May, 1985.
Rights and permissions
About this article
Cite this article
Martirosyan, D.G. Uniqueness of Gibbs states in lattice models with one ground state. Theor Math Phys 63, 511–518 (1985). https://doi.org/10.1007/BF01017908
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01017908