@article{SM_1999_190_2_a1,
author = {N. N. Ganikhodzhaev and U. A. Rozikov},
title = {On unordered phases of certain models on {a~Cayley} tree},
journal = {Sbornik. Mathematics},
pages = {193--203},
year = {1999},
volume = {190},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1999_190_2_a1/}
}
N. N. Ganikhodzhaev; U. A. Rozikov. On unordered phases of certain models on a Cayley tree. Sbornik. Mathematics, Tome 190 (1999) no. 2, pp. 193-203. http://geodesic.mathdoc.fr/item/SM_1999_190_2_a1/
[1] Bleher P. M., “Extremity of the disordered phase in the Ising model on the Bethe lattice”, Comm. Math. Phys., 128 (1990), 411–419 | DOI | MR | Zbl
[2] Georgii H. O., Gibbs measures and phase transitions, De Gruyter Studies in Math., 9, De Gruyter, Berlin, 1988 | MR | Zbl
[3] Katsura S., Takizawa M., “Bethe lattice and the Bethe approximation”, Progr. Theoret. Phys., 51 (1974), 82–98 | DOI
[4] Ganikhodzhaev N. N., “O chistykh fazakh ferromagnitnoi modeli Pottsa na reshetke Bete”, Dokl. AN RUz., 1992, no. 6–7, 4–7
[5] Preston K., Gibbsovskie sostoyaniya na schetnykh mnozhestvakh, Mir, M., 1977 | MR
[6] Ganikhodzhaev N. N., Rozikov U. A., “O periodicheskikh gibbsovskikh raspredeleniyakh modeli Izinga na reshetke Bete”, Uzb. matem. zhurn., 1995, no. 4, 8–18 | MR
[7] Ganikhodzhaev N. N., Rozikov U. A., “Opisanie periodicheskikh krainikh gibbsovskikh mer nekotorykh modelei na dereve Keli”, TMF, 111:1 (1997), 109–117 | MR | Zbl
[8] Rozikov U. A., “Struktury razbienii na klassy smezhnosti gruppovogo predstavleniya dereva Keli po normalnym delitelyam konechnogo indeksa i ikh primeneniya dlya opisaniya periodicheskikh raspredelenii Gibbsa”, TMF, 112:1 (1997), 170–175 | MR | Zbl
[9] Shiryaev A. N., Veroyatnost, Nauka, M., 1980 | MR | Zbl
[10] Sinai Ya. G., Teoriya fazovykh perekhodov, Nauka, M., 1980 | MR