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35 works

Work: Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree

  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. 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
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  3. 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

  4. Holliday Junctions for the Potts Model of DNA

    U. A. Rozikov

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

  5. 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

  6. 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

  7. 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

  8. Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k

    M. M. Rahmatullaev, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesMathematical Physics Analysis and Geometry20237 citations
    ABI

  9. 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

  10. Non-Translation-Invariant Gibbs Measures of an SOS Model on a Cayley Tree

    M. M. Rahmatullaev, Bunyod U. Abraev

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20207 citations
    ABI

  11. 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

  12. Thermodynamics of interacting systems of DNA molecules

    U. A. Rozikov

    ArticleDNA and Nucleic Acid ChemistryTheoretical and Mathematical Physics20216 citations
    ABI

  13. 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

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

    Sh. A. Ayupov, K. M. Kudaybergenov, B. T. Yusupov

    ArticleTheoretical and Computational PhysicsContemporary Mathematics Fundamental Directions20225 citations
    ABI

  15. 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
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  16. Extremality of Gibbs Measures for the $$HC$$-Blume–Capel Model on the Cayley Tree

    N. M. Khatamov

    ArticleTheoretical and Computational PhysicsMathematical Notes20224 citations
    ABI

  17. 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

  18. 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

  19. 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

  20. 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

  21. Периодические меры Гиббса для модели Поттса с трансляционно-инвариантным и периодическим внешними полями на дереве Кэли

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

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20212 citations
    ABI

  22. 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

  23. 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

  24. 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

  25. Меры Гиббса для обобщенной модели Поттса с радиусом взаимодействия два на дереве Кэли

    N. M. Khatamov, Ганижон Турдибаевич Мадгозиев

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20152 citations
    ABI