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Works citing this work

104 works

Work: Gibbs States on Countable Sets

  1. 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

  2. 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

  3. 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

  4. 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

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  6. 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

  7. 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
    ABI

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

    N. M. Khatamov

    ArticleTheoretical and Computational PhysicsMathematical Notes20224 citations
    ABI

  9. 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

  10. Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20154 citations
    ABI

  11. Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $$k=2$$

    M. M. Rakhmatullaev, J. D. Dehqonov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20214 citations
    ABI

  12. Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20014 citations
    ABI

  13. 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

  14. 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

  15. On positive solutions of the homogeneous Hammerstein integral equation

    Yu. Kh. Èshkabilov, F. H. Haydarov

    ArticleNumerical methods in inverse problemsNanosystems Physics Chemistry Mathematics20154 citations
    ABI

  16. 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

  17. Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree

    M. M. Rahmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20243 citations
    ABI

  18. Gibbs measures for fertile hard-core models on the Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20163 citations
    ABI

  19. Условия единственности и неединственности слабо периодических мер Гиббса для модели "hard core"

    Р. М. Хакимов, Мухторжон Турсунмухаммад угли Махаммадалиев

    ArticleMilitary Technology and StrategiesТеоретическая и математическая физика20202 citations
    ABI

  20. Periodic and weakly periodic ground states corresponding to subgroups of index three for the ising model on cayley tree

    M. M. Rahmatullaev, D.O. Egamov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20212 citations
    ABI

  21. Про конструктивні описи мір Гіббса для моделі Поттса на дереві Келі

    M. M. Rahmatullaev, F. К. Rafikov, Sh. Kh. Azamov

    ArticleTheoretical and Computational PhysicsUkrains’kyi Matematychnyi Zhurnal20212 citations
    ABI

  22. On the Constructive Description of Gibbs Measures for the Potts Model on a Cayley Tree

    M. M. Rahmatullaev, F. К. Rafikov, Sh. Kh. Azamov

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20212 citations
    ABI

  23. 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

  24. 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

  25. 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