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24 works

Work: Non-uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

  1. Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    Yu. Kh. Èshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201226 citations
    ABI

  2. Four competing interactions for models with an uncountable set of spin values on a Cayley tree

    U. A. Rozikov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201715 citations
    ABI

  3. Positive fixed points of quadratic operators and Gibbs measures

    Yusup Khalbaevich Eshkabilov, Shohruh Dilmurodovich Nodirov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsPositivity201614 citations
    ABI

  4. Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree

    U. A. Rozikov, F. H. Haydarov

    ArticleMarkov Chains and Monte Carlo MethodsInfinite Dimensional Analysis Quantum Probability and Related Topics201512 citations
    ABI

  5. Phase transitions for a model with uncountable set of spin values on a Cayley tree

    Yu. Kh. Èshkabilov, U. A. Rozikov, G. I. Botirov

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics201310 citations
    ABI

  6. Phase Transition and Critical Values of a Nearest-Neighbor System with Uncountable Local State Space on Cayley Trees

    Benedikt Jahnel, Christof Külske, G. I. Botirov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry20149 citations
    ABI

  7. Fixed points of Lyapunov integral operators and Gibbs measures

    F. H. Haydarov

    ArticleTheoretical and Computational PhysicsPositivity20188 citations
    ABI

  8. 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

  9. Positive Fixed Points of Cubic Operators on R² and Gibbs Measures

    Yusup Kh. Eshkabilov, Shohruh Dilmurodovich Nodirov

    Articleadvanced mathematical theoriesJournal of Siberian Federal University Mathematics & Physics20195 citations
    ABI

  10. GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  11. Модели с четырьмя конкурирующими взаимодействиями и с несчетным множеством значений спина на дереве Кэли

    U. A. Rozikov, Фарход Халимжонович Хайдаров

    ArticleNeural Networks and ApplicationsТеоретическая и математическая физика20174 citations
    ABI

  12. Mirror Symmetry of Height-Periodic Gradient Gibbs Measures of an SOS Model on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20224 citations
    ABI

  13. On the set of Gibbs measures for model with a countable set of spin values on Cayley trees

    G. I. Botirov, F. H. Haydarov

    ArticleMarkov Chains and Monte Carlo MethodsPositivity20224 citations
    ABI

  14. A model with uncountable set of spin values on a Cayley tree: phase transitions

    G. I. Botirov

    ArticleTheoretical and Computational PhysicsPositivity20163 citations
    ABI

  15. Uniqueness of Gibbs Measures for an Ising Model with Continuous Spin Values on a Cayley Tree

    F. H. Haydarov, Shamshod A. Akhtamaliyev, Madalixon A. Nazirov +1

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20203 citations
    ABI

  16. New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    F. H. Haydarov

    ArticleMathematical Dynamics and FractalsMathematical Physics Analysis and Geometry20212 citations
    ABI

  17. Positive Fixed Points of Hammerstein Integral Operators with Degenerate Kernel

    Yu. Kh. Èshkabilov, Sh. D. Nodirov

    ArticleNumerical methods in inverse problemsUčenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki20241 citations
    ABI

  18. Phase transitions for a model with uncountable spin space on the Cayley tree: the general case

    G. I. Botirov, Benedikt Jahnel

    PreprintTheoretical and Computational PhysicsPositivity20180 citations
    ABI

  19. Фазовые переходы в моделях с непрерывным множеством значений спина на решетке Бете

    Yusup Khalbaevich Eshkabilov, G. I. Botirov, Фарход Халимжонович Хайдаров

    ArticleMilitary Technology and StrategiesТеоретическая и математическая физика20200 citations
    ABI

  20. Phase transitions for models with a continuum set of spin values on a Bethe lattice

    Yu. Kh. Èshkabilov, G. I. Botirov, F. Kh. Khaidarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20200 citations
    ABI

  21. 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

  22. О положительных неподвижных точках оператора типа Гаммерштейна с вырожденным ядром и мерах Гиббса

    I. M. Mavlonov, Nuriddin Kholbaevich Khushvaktov, G. P. Arzikulov +1

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20240 citations
    ABI

  23. On positive fixed points of operator of Hammerstein type with degenerate kernel and Gibbs measures

    I. M. Mavlonov, Kh. N. Khushvaktov, G. P. Arzikulov +1

    ArticleAdvanced Banach Space TheoryTheoretical and Mathematical Physics20240 citations
    ABI

  24. Description of translation-invariant Gibbs measures on a Cayley tree of arbitrary order

    Sh. D. Nodirov

    Articleadvanced mathematical theoriesUčenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki20260 citations
    ABI