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29 works

Work: On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field*

  1. 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

  2. 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

  3. 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

  4. 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

  5. Thermodynamics of interacting systems of DNA molecules

    U. A. Rozikov

    ArticleDNA and Nucleic Acid ChemistryTheoretical and Mathematical Physics20216 citations
    ABI

  6. Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws

    F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20225 citations
    ABI

  7. 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

  8. Phase transition for the SOS model under inhomogeneous external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleNonlinear Dynamics and Pattern FormationPhase Transitions20225 citations
    ABI

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

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

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20223 citations
    ABI

  10. 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

  11. 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

  12. Kittel’s molecular zipper model on Cayley trees

    U. A. Rozikov

    Review articleGraph theory and applicationsReviews in Mathematical Physics20232 citations
    ABI

  13. 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

  14. Термодинамика взаимодействующих систем молекул ДНК

    U. A. Rozikov

    ArticleSpectroscopy and Quantum Chemical StudiesТеоретическая и математическая физика20211 citations
    ABI

  15. 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

  16. 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

  17. Translation-Invariant Gibbs Measures for the Hard Core Model with a Countable Set of Spin Values

    Р. М. Хакимов, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20241 citations
    ABI

  18. Gibbs measures for a Hard-Core model with a countable set of states

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

    Review articleMarkov Chains and Monte Carlo MethodsReviews in Mathematical Physics20241 citations
    ABI

  19. 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
    ABI

  20. Невероятностные меры Гиббса для HC-модели со счетным числом состояний для графа типа "жезл" на дереве Кэли

    Рустамжон Махмудович Хакимов, Р. М. Хакимов, Мухторжон Турсунмухаммад угли Махаммадалиев

    Articleadvanced mathematical theoriesТеоретическая и математическая физика20220 citations
    ABI

  21. Неподвижные точки бесконечномерного оператора, связанного с мерами Гиббса

    U. R. Olimov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20230 citations
    ABI

  22. Fixed points of an infinite-dimensional operator related to Gibbs measures

    U. R. Olimov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20230 citations
    ABI

  23. Bubble coalescence in interacting system of DNA molecules

    U. A. Rozikov

    ArticleDNA and Nucleic Acid ChemistryInternational Journal of Biomathematics20230 citations
    ABI

  24. Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees

    Nasir Ganikhodjaev, N. M. Khatamov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20230 citations
    ABI

  25. Меры Гиббса для плодородных моделей с жесткими взаимодействиями и с четырьмя состояниями

    Р. М. Хакимов, Bakhtier Zokirzhon ugli Tozhiboev

    ArticleTopological and Geometric Data AnalysisТеоретическая и математическая физика20240 citations
    ABI