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

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References

  1. K. Preston, Gibbs States on Countable Sets [Russian translation], Mir, Moscow (1977).

    Google Scholar 

  2. Ya. G. Sinaî, The Theory of Phase Transitions [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  3. F. Spitzer, “Markov random fields on an infinite tree”, Ann. Probab.,3, No. 3, 387–398 (1975).

    MATH  Google Scholar 

  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).

    Google Scholar 

  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).

    Google Scholar 

  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).

    Google Scholar 

  7. A. N. Shiryaev, Probability [in Russian], Nauka, Moscow (1980).

    MATH  Google Scholar 

  8. R. L. Dobrushin, “Study of Gibbs states for three-dimensional lattice systems”, Teor. Veroyatnost. i Primenen.,18, No. 2, 261–279 (1973).

    Google Scholar 

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Tashkent. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 2, pp. 427–435, March–April, 1998.

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Rozikov, U.A. Description of limit Gibbs measures for λ-models on bethe lattices. Sib Math J 39, 373–380 (1998). https://doi.org/10.1007/BF02677521

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