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21 works

Work: Gradient Gibbs measures for the SOS model with countable values on a Cayley tree

  1. 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

  2. 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

  3. 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

  4. Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree

    G. I. Botirov, Umidjon Usmonaliyevich Qayumov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20214 citations
    ABI

  5. Invariance Property on Group Representations of the Cayley Tree and Its Applications

    F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsResults in Mathematics20224 citations
    ABI

  6. 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

  7. On set of p-adic Gibbs measures for the countable state 1D SOS model

    Otabek Khakimov, Farrukh Mukhamedov

    Articleadvanced mathematical theoriesJournal of Physics A Mathematical and Theoretical20243 citations
    ABI

  8. Основные состояния модели Поттса с конкурирующими взаимодействиями и счетным множеством значений спина на дереве Кэли

    G. I. Botirov, Umidjon Usmonaliyevich Qayumov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20212 citations
    ABI

  9. Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree

    G. I. Botirov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20202 citations
    ABI

  10. 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

  11. 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

  12. 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

  13. 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

  14. Phase transitions for countable state 1D SOS model with external field

    Otabek Khakimov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20231 citations
    ABI

  15. 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

  16. An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics20230 citations
    ABI

  17. Неподвижные точки бесконечномерного оператора, связанного с мерами Гиббса

    U. R. Olimov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20230 citations
    ABI

  18. 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

  19. Gradient Gibbs measures with periodic boundary laws of a generalized SOS model on a Cayley tree

    F. H. Haydarov, R. A. Ilyasova

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20230 citations
    ABI

  20. 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

  21. Uniqueness and Nonuniqueness Conditions for Weakly Periodic Gibbs Measures for the Hard-core Model with a Countable Set of Spin Values

    R. M. Khakimov, A. A. Bozorkulov

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20250 citations
    ABI