Non-uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

Author:

Eshkabilov Y. K.,Haydarov F. H.,Rozikov U. A.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference14 articles.

1. Bleher, P.M., Ganikhodjaev, N.N.: On pure phases of the Ising model on the Bethe lattice. Theory Probab. Appl. 35, 216–227 (1990)

2. Bleher, P.M., Ruiz, J., Zagrebnov, V.A.: On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice. J. Stat. Phys. 79, 473–482 (1995)

3. Eshkabilov, Yu.Kh., Haydarov, F.H., Rozikov, U.A.: Uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree. arXiv:1202.1722v1 [math.FA]

4. Ganikhodjaev, N.N.: On pure phases of the ferromagnet Potts with three states on the Bethe lattice of order two. Theor. Math. Phys. 85, 163–175 (1990)

5. Ganikhodjaev, N.N., Rozikov, U.A.: Description of periodic extreme Gibbs measures of some lattice model on the Cayley tree. Theor. Math. Phys. 111, 480–486 (1997)

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