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Works citing this work

29 works

Work: Fast mixing for independent sets, colorings, and other models on trees

  1. Description of the Translation-Invariant Splitting Gibbs Measures for the Potts Model on a Cayley Tree

    Christof Külske, U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201445 citations
    ABI

  2. Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree

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    ArticleTheoretical and Computational PhysicsRandom Structures and Algorithms201635 citations
    ABI

  3. Extremality of translation-invariant Gibbs measures for the Potts–SOS model on the Cayley tree

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    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20219 citations
    ABI

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

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    Review articleTheoretical and Computational PhysicsReviews in Mathematical Physics20219 citations
    ABI

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

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    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20188 citations
    ABI

  6. Gibbs Periodic Measures for a Two-State HC-Model on a Cayley Tree

    U. A. Rozikov, R. M. Khakimov, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsJournal of Mathematical Sciences20247 citations
    ABI

  7. Translation-Invariant Extreme Gibbs Measures for the Blume–Capel Model Withwand on a Cayley Tree

    N. M. Khatamov

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20207 citations
    ABI

  8. Extremality of the unique translation-invariant Gibbs measure for hard-core models on the Cayley tree of order $$k=3$$

    Р. М. Хакимов, K. O. Umirzakova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20216 citations
    ABI

  9. New class of Gibbs measures for two-state hard-core model on a Cayley tree

    R. M. Khakimov, M. T. Makhammadaliev, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics20235 citations
    ABI

  10. Local and 2-Local Derivations of Locally Simple Lie Algebras

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    ArticleTheoretical and Computational PhysicsContemporary Mathematics Fundamental Directions20225 citations
    ABI

  11. Extremality of Gibbs Measures for the $$HC$$-Blume–Capel Model on the Cayley Tree

    N. M. Khatamov

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    ABI

  12. Periodic Gibbs Measures and Their Extremes for the HC–Blume–Capel Model in the Case of a ‘‘Wand’’ on the Cayley Tree

    N. M. Khatamov

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20224 citations
    ABI

  13. Крайность трансляционно-инвариантных мер Гиббса для модели Блюма–Капеля в случае “жезл” на дереве Кэли

    N. M. Khatamov

    ArticleStochastic processes and statistical mechanicsUkrains’kyi Matematychnyi Zhurnal20204 citations
    ABI

  14. Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov, N. M. Khatamov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20224 citations
    ABI

  15. Крайность единственной трансляционно-инвариантной меры Гиббса для моделей "hard core" на дереве Кэли порядка $k=3$

    Р. М. Хакимов, K. O. Umirzakova

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20203 citations
    ABI

  16. Extremality of some Gibbs measures for the Blume–Capel HC-model on a Cayley tree

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    ArticleTheoretical and Computational PhysicsVestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki20222 citations
    ABI

  17. Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree

    Р. М. Хакимов, M. T. Makhammadaliev, U. A. Rozikov

    Articleadvanced mathematical theoriesMathematical Physics Analysis and Geometry20232 citations
    ABI

  18. 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

  19. Меры Гиббса для модели HC-Блюма-Капеля со счетным числом состояний на дереве Кэли

    Насир Набиевич Ганиходжаев, U. A. Rozikov, N. M. Khatamov

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    ABI

  20. Weakly periodic gibbs measures for the HC model with a countable set of spin values

    M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20241 citations
    ABI

  21. Phase transition and thermodynamic properties of the Hard-Core-Potts model

    R. M. Khakimov, M. T. Makhammadaliev, N. N. Mutalliev

    ArticleTheoretical and Computational PhysicsNanosystems Physics Chemistry Mathematics20261 citations
    ABI

  22. Periodic Gibbs Measures for Three-State Hard-Core Models in the Case Wand

    Р. М. Хакимов, K. O. Umirzakova

    ArticleTheoretical and Computational PhysicsZurnal matematiceskoj fiziki analiza geometrii20241 citations
    ABI

  23. Three-state p-SOS models on binary Cayley trees

    Benedikt Jahnel, U. A. Rozikov

    ArticleDNA and Biological ComputingJournal of Statistical Mechanics Theory and Experiment20241 citations
    ABI

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

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

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    ABI

  25. 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