On unordered phases of certain models on a Cayley tree

Sbornik Mathematics

Volumn 190, Issue 1-2, 1999, Pages 193-203

  Ganikhodzhaev, N N ^a   Rozikov, U A ^a  

^a UzAS   (Uzbekistan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033246623     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/sm1999v190n02abeh000382     Document Type: Article

References (12)

1. P. M. Bleher, "Extremity of the disordered phase in the Ising model on the Bethe lattice", Comm. Math. Phys. 128 (1990), 411-419.
2. H. O. Georgii, Gibbs measures and phase transitions, de Gruyter Studies in Math., vol. 9, de Gruyter, Berlin, 1988.
3. S. Katsura and M. Takizawa, "Bethe lattice and the Bethe approximation", Progr. Theoret. Phys. 51 (1974), 82-98.
4. N. N. Ganikhodzhaev, "On pure phases of the ferromagnetic Potts model on the Bethe lattice", Dokl. Akad. Nauk Respub. Uzb. 1992:6-7, 4-7. (Russian)
5. C. Preston, Gibbs states on countable sets, Cambridge University Press, London 1974.
6. N. N. Ganikhodzhaev and U. A. Rozikov, "On periodic Gibbs distributions of the Ising model on the Bethe lattice", Uzb. Mat. Zh. 1995:4, 8-18. (Russian)
7. N. N. Ganikhodzhaev and U. A. Rozikov, "A description of periodic extremal Gibbs measures of certain models on a Cayley tree", Teoret. Mat. Fiz. 111:1 (1997), 109-117; English transl. in Theoret. and Math. Phys. 111 (1997).
8. N. N. Ganikhodzhaev and U. A. Rozikov, "A description of periodic extremal Gibbs measures of certain models on a Cayley tree", Teoret. Mat. Fiz. 111:1 (1997), 109-117; English transl. in Theoret. and Math. Phys. 111 (1997).
9. U. A. Rozikov, "The structures of the coset partitions of the group representation of the Cayley tree over normal divisors of finite index and their applications in describing periodic Gibbs distributions", Teoret. Mat. Fiz. 112:1 (1997), 170-175; English transl. in Theoret. and Math. Phys. 112 (1997).
10. U. A. Rozikov, "The structures of the coset partitions of the group representation of the Cayley tree over normal divisors of finite index and their applications in describing periodic Gibbs distributions", Teoret. Mat. Fiz. 112:1 (1997), 170-175; English transl. in Theoret. and Math. Phys. 112 (1997).
11. A. N. Shiryaev, Probability, Nauka, Moscow 1980. (Russian)
12. Ya. G. Sinaǐ, Theory of phase transitions, Nauka, Moscow 1980. (Russian)