论文信息 - Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous ising model - 字舞流文

Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous ising model

We prove the existence of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model on a Cayley tree and describe them constructively.

[1] Pure phases of the ferromagnetic Potts model with three states on a second-order Bethe lattice , 1990 .

[2] P. Bleher. Extremity of the disordered phase in the Ising model on the Bethe lattice , 1990 .

[3] C. Preston. Gibbs States on Countable Sets , 1974 .

[4] P. M. Blekher,et al. On Pure Phases of the Ising Model on the Bethe Lattices , 1991 .

[5] F. Spitzer. Markov Random Fields on an Infinite Tree , 1975 .

[6] Makoto Takizawa,et al. Bethe Lattice and the Bethe Approximation , 1974 .

[7] Utkir A Rozikov,et al. Description of periodic extreme gibbs measures of some lattice models on the Cayley tree , 1997 .