Description of limit Gibbs measures for λ-models on Bethe lattices

Siberian Mathematical Journal

Volumn 39, Issue 2, 1998, Pages 373-380

  Rozikov, U A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22044446934     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02677521     Document Type: Article

References (8)

1. K. Preston, Gibbs States on Countable Sets [Russian translation], Mir, Moscow (1977).
2. Ya. G. Sinaǐ, The Theory of Phase Transitions [in Russian], Nauka, Moscow (1980).
3. F. Spitzer, "Markov random fields on an infinite tree," Ann. Probab., 3, No. 3, 387-398 (1975).
4. Y. Higuchi, "Remarks on the limiting Gibbs state on a (d + 1)-tree," Publ. Res. Inst. Math. Sci. (Kyoto Univ.), 13, 335-348 (1977).
5. P. M. Blekher and N. N. Ganikhodzhaev, "Pure phases of the Ising model on Bethe lattices," Teor. Veroyatnost. i Primenen., 35, No. 2, 220-230 (1990).
6. N. N. Ganikhodzhaev, "On pure phases of the three-state ferromagnetic Potts model on the second-order Bethe lattice," Teoret. Mat. Fiz., 85, No. 2, 163-175 (1990).
7. A. N. Shiryaev, Probability [in Russian], Nauka, Moscow (1980).
8. R. L. Dobrushin, "Study of Gibbs states for three-dimensional lattice systems," Teor. Veroyatnost. i Primenen., 18, No. 2, 261-279 (1973).