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Works citing this work

10 works

Work: Survey: Information flow on trees

  1. On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field*

    Leonid V. Bogachev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201929 citations
    ABI

  2. On Models with Uncountable Set of Spin Values on a Cayley Tree: Integral Equations

    U. A. Rozikov, Yusup Kh. Eshkobilov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201027 citations
    ABI

  3. Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    Yu. Kh. Èshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201226 citations
    ABI

  4. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  5. Gibbs measures of Potts model on Cayley trees: A survey and applications

    U. A. Rozikov

    Review articleTheoretical and Computational PhysicsReviews in Mathematical Physics20219 citations
    ABI

  6. Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree

    U. A. Rozikov, Р. М. Хакимов, F. Kh. Khaidarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20188 citations
    ABI

  7. GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  8. Gibbs measures for hardcore-solid-on-solid models on Cayley trees

    Benedikt Jahnel, U. A. Rozikov

    ArticleStochastic processes and statistical mechanicsJournal of Statistical Mechanics Theory and Experiment20242 citations
    ABI

  9. Крайность трансляционно-инвариантных мер Гиббса для $\lambda$-модели на бинарном дереве Кэли

    Farrukh Mukhamedov, M. M. Rahmatullaev, Mukhayo Akbarzhon kizi Rasulova

    ArticleMaterial Science and ThermodynamicsТеоретическая и математическая физика20221 citations
    ABI

  10. Extremality of translation-invariant Gibbs measures for the $$\lambda$$-model on the binary Cayley tree

    Farrukh Mukhamedov, M. M. Rahmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20221 citations
    ABI