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Works citing this work

45 works

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

  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
    ABI

  2. 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

  3. The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201420 citations
    ABI

  4. 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

  5. ON FREE ENERGIES OF THE ISING MODEL ON THE CAYLEY TREE

    Daniel Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    ArticleTheoretical and Computational Physics201613 citations
    ABI

  6. Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree

    R. M. Khakimov, F. Kh. Khaydarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201613 citations
    ABI

  7. Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics202212 citations
    ABI

  8. Translation Invariance of the Periodic Gibbs Measures for the Potts Model on the Cayley Tree

    R. M. Khakimov, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201911 citations
    ABI

  9. Holliday Junctions for the Potts Model of DNA

    U. A. Rozikov

    ChapterSpectroscopy and Quantum Chemical StudiesSpringer proceedings in mathematics & statistics201810 citations
    ABI

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

    M M Rahmatullaev, M A Rasulova

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

  11. 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

  12. Free energies of the Potts model on a Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20179 citations
    ABI

  13. 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
    ABI

  14. On Weakly Periodic Gibbs Measures for the Potts Model with External Field on the Cayley Tree

    M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20168 citations
    ABI

  15. Periodic Gibbs Measures for the Potts-SOS Model on a Cayley Tree

    M. A. Rasulova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20198 citations
    ABI

  16. 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

  17. Gibbs measures for the three-state SOS model with external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleTheoretical and Computational PhysicsPositivity20228 citations
    ABI

  18. 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

  19. Thermodynamics of interacting systems of DNA molecules

    U. A. Rozikov

    ArticleDNA and Nucleic Acid ChemistryTheoretical and Mathematical Physics20216 citations
    ABI

  20. 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

  21. Трансляционная инвариантность периодических мер Гиббса для модели Поттса на дереве Кэли

    Р. М. Хакимов, Мухторжон Турсунмухаммад угли Махаммадалиев

    ArticleMilitary Technology and StrategiesТеоретическая и математическая физика20194 citations
    ABI

  22. 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

  23. Трансляционно-инвариантные и периодические меры Гиббса для модели Поттса на дереве Кэли

    Р. М. Хакимов, Фарход Халимжонович Хайдаров

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20164 citations
    ABI

  24. 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

  25. Про конструктивні описи мір Гіббса для моделі Поттса на дереві Келі

    M. M. Rahmatullaev, F. К. Rafikov, Sh. Kh. Azamov

    ArticleTheoretical and Computational PhysicsUkrains’kyi Matematychnyi Zhurnal20212 citations
    ABI