Geodesic
Phase diagrams of classical lattice systems continuation
Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 1, pp. 61-76 
S. A. Pirogov; Ya. G. Sinai. Phase diagrams of classical lattice systems continuation. Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 1, pp. 61-76. http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a5/
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     url = {http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

III. Contour Models In this section we introduce contour models and study some of their properties. In $\text{Sec}$. V we shall show that every pure thermodynamic phase which we construct can be described by means of a suitably chosen contour model. In the language of contour models one can clearly elucidate what is meant by the expression “typical configurations of every phase are small perturbations of a corresponding ground state”.

[1] R. A. Minlos, Ya. G. Sinai, Tr. Mosk. matem. ob-va, 19 (1968), 113 | MR

[2] R. A. Minlos, Ya. G. Sinai, Tr. Mosk. matem. ob-va, 17 (1967), 213 | MR

[3] R. A. Minlos, Ya. G. Sinai, Matem. sb., 73:3 (1967), 375 | MR

[4] R. L. Dobrushin, Funkts. analiz, 2:4 (1968), 44 | MR | Zbl

[5] S. A. Pirogov, Ya. G. Sinai, Funkts. analiz, 8:1 (1974), 25 | MR

[6] S. A. Pirogov, Dokl. AN SSSR, 214:6 (1974), 1273 | MR | Zbl

[7] S. A. Pirogov, UMN, 30:2 (1975), 223 | MR | Zbl

[8] N. Nasr, UMN, 26:5 (1971), 222 | MR | Zbl

[9] D. G. Martirosyan, TMF, 22 (1975), 335 | Zbl

[10] S. A. Pirogov, Izv. AN SSSR, ser. matem., 39:6 (1975), 1403 | MR

[11] R. L. Dobrushin, TMF, 12 (1972), 115

[12] V. M. Gertsik, R. L. Dobrushin, Funkts. analiz, 8:3 (1974), 12 | MR | Zbl

[13] V. M. Gertsik, UMN, 30:3 (1975), 159 | MR | Zbl

[14] V. M. Gertsik, Izv. AN SSSR, ser. matem., 40:2 (1976) (to appear) | MR | Zbl