A Manifold of Pure Gibbs States of the Ising Model on a Cayley Tree

Author:

Gandolfo Daniel,Ruiz Jean,Shlosman Senya

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference5 articles.

1. 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(1–2), 473–482 (1995)

2. Blekher, P.M., Ganikhodzhaev, N.N.: Pure phases of the Ising model on Bethe lattices. Teor. Veroâtn. Ee Primen. 35(2), 220–230 (1990), in Russian, translation in: Theory Probab. Appl. 35(2), 216–227 (1990, 1991)

3. Soviet Sci. Rev. Sect. C: Math. Phys. Rev.;R.L. Dobrushin,1985

4. Ore, O.: The Four-Color Problem. Academic Press, New York, London (1967)

5. Rozikov, U.A., Rakhmatullaev, M.M.: Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Theor. Math. Phys. 156(2), 1218–1227 (2008), in English, translation from: Teor. Mat. Fiz. 156(2), 292–302 (2008)

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