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Works cited by this work

15 works

Work: Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
    ABI

  3. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book201185 citations
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  4. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
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  5. On Pure Phases of the Ising Model on the Bethe Lattices

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

  6. Quadratic transformations: a model for population growth. I

    Harry Kesten

    Article197058 citations
    ABI

  7. Countable State Space Markov Random Fields and Markov Chains on Trees

    Stan Zachary

    Article198357 citations
    ABI

  8. Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200938 citations
    ABI

  9. Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200834 citations
    ABI

  10. Markov Random Fields on an Infinite Tree

    Frank Spitzer

    Article197533 citations
    ABI

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

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199925 citations
    ABI

  12. New weakly periodic Gibbs measures of Ising model on Cayley tree

    M. M. Rakhmatullaev

    ArticleOpinion Dynamics and Social InfluenceRussian Mathematics201512 citations
    ABI

  13. A description of harmonic functions via properties of the group representation of the Cayley tree

    É. P. Normatov, U. A. Rozikov

    ArticleMathematical Dynamics and FractalsMathematical Notes20069 citations
    ABI

  14. On new weakly periodic Gibbs measures of the Ising model on the Cayley tree of order ≤ 5

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsJournal of Physics Conference Series20168 citations
    ABI

  15. On new weakly periodic Gibbs measures of Ising model on a Cayley tree

    M. M. Rahmatullaev

    Preprint20142 citations
    ABI