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36 works

Work: Graph Homomorphisms and Phase Transitions

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

    Christof Külske, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsRandom Structures and Algorithms201635 citations
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  2. Fertile HC models with three states on a cayley tree

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    ArticleNonlinear Dynamics and Pattern FormationTheoretical and Mathematical Physics200822 citations
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  3. Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201516 citations
    ABI

  4. Hard-core and soft-core Widom–Rowlinson models on Cayley trees

    S Kissel, C Külske, U A Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201910 citations
    ABI

  5. Трансляционно-инвариантные меры Гиббса для плодородных моделей "hard core" с тремя состояниями на дереве Кэли

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20158 citations
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  6. Weakly Periodic Gibbs Measures for HC-Models on Cayley Trees

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsSiberian Mathematical Journal20188 citations
    ABI

  7. A HC model with countable set of spin values: Uncountable set of Gibbs measures

    U. A. Rozikov, F. H. Haydarov

    Review articleTheoretical and Computational PhysicsReviews in Mathematical Physics20228 citations
    ABI

  8. Nonprobability Gibbs measures for the HC model with a countable set of spin values for a “wand”-type graph on a Cayley tree

    Р. М. Хакимов, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20226 citations
    ABI

  9. 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

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  11. p-adic Gibbs measures for the hard core model with three states on the Cayley tree

    Otabek Khakimov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics20135 citations
    ABI

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

    N. M. Khatamov

    ArticleTheoretical and Computational PhysicsMathematical Notes20224 citations
    ABI

  13. 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

  14. 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

  15. Periodic Points of a $$p$$-Adic Operator and their $$p$$-Adic Gibbs Measures

    U. A. Rozikov, I. A. Sattarov, Akbarkhuja Tukhtabaev

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    ABI

  16. Gibbs measures for fertile hard-core models on the Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20163 citations
    ABI

  17. Меры Гиббса для плодородных моделей жесткой сердцевины на дереве Кэли

    Р. М. Хакимов

    ArticleNeural Networks and ApplicationsТеоретическая и математическая физика20162 citations
    ABI

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

    Khatamov N.M.

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

  19. 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

  20. Alternative Gibbs measure for fertile three-state Hard-Core models on a Cayley tree

    R. A. Khakimov, M. T. Makhammadaliev, K. O. Umirzakova

    ArticleTheoretical and Computational PhysicsPhase Transitions20242 citations
    ABI

  21. 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

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

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

    ArticleStochastic processes and statistical mechanicsТеоретическая и математическая физика20221 citations
    ABI

  23. Kolmogorov extension theorem for non-probability measures on Cayley trees

    F. H. Haydarov

    Review articleMathematical Dynamics and FractalsReviews in Mathematical Physics20231 citations
    ABI

  24. Gibbs measures for fertile models with hard-core interactions and four states

    R. M. Khakimov, B. Z. Tojiboev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20241 citations
    ABI

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

    M. T. Makhammadaliev

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    ABI