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25 works

Work: Periodic Gibbs measures for the Potts model on the Cayley tree

  1. Phase transition and chaos: P -adic Potts model on a Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesChaos Solitons & Fractals201619 citations
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  2. 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
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  3. 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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  4. 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
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  5. 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
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  6. Gibbs measures of Potts model on Cayley trees: A survey and applications

    U. A. Rozikov

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

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20179 citations
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  8. Periodic Gibbs Measures for the Potts-SOS Model on a Cayley Tree

    M. A. Rasulova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20198 citations
    ABI

  9. 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
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  10. On ground states and phase transition for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e206" altimg="si4.svg"><mml:mi>λ</mml:mi></mml:math>-model with the competing Potts interactions on Cayley trees

    Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil +1

    ArticleTheoretical and Computational PhysicsPhysica A Statistical Mechanics and its Applications20208 citations
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  11. 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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  12. Localization of translation-invariant Gibbs measures for the Potts and “solid-on-solid” models on a Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20144 citations
    ABI

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

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    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20212 citations
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  14. A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsSiberian Mathematical Journal20152 citations
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  15. О свободных энергиях модели Поттса на дереве Кэли

    U. A. Rozikov, M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20172 citations
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  16. О периодических мерах Гиббса для модели Поттса-SOS на дереве Кэли

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    ArticleMilitary Technology and StrategiesТеоретическая и математическая физика20192 citations
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  17. Periodic and Weakly Periodic Ground States for the λ-Model on Cayley Tree

    Farrukh Mukhamedov, Chin Hee Pah, Muzaffar Rahimatullaev +1

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20171 citations
    ABI

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

    R. M. Khakimov, B. Z. Tojiboev

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  19. Potts model on a Cayley tree: a new class of Gibbs measures

    M. M. Rakhmatullaev, J. D. Dehkonov

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

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  21. Модель Поттса на дереве Кэли: новый класс гиббсовских мер

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    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20231 citations
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  22. On $(k_0)$-translation-invariant and $(k_0)$-periodic Gibbs measures for Potts model on Cayley tree

    Zhasurbek Dilmurod ugli Dekhkonov

    ArticleTheoretical and Computational PhysicsUfimskii Matematicheskii Zhurnal20221 citations
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  23. An improvement of extremality regions for Gibbs measures of the Potts model on a Cayley tree

    F. H. Haydarov, Rustam Khakimov

    ArticleTheoretical and Computational PhysicsJournal of Physics Conference Series20160 citations
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  24. Меры Гиббса для плодородных моделей с жесткими взаимодействиями и с четырьмя состояниями

    Р. М. Хакимов, Bakhtier Zokirzhon ugli Tozhiboev

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  25. Gibbs Measures for the $$\mathrm{HC}$$-Model in the Case of a Graph of Type “Key” on a Cayley Tree

    Bakhtier Zokirzhon ugli Tozhiboev, R. M. Khakimov

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