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Works citing this work

19 works

Work: On Ising Model with Four Competing Interactions on 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. Non-uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    Y. K. Eshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201224 citations
    ABI

  3. 2 NON-UNIQUENESS OF GIBBS MEASURE FOR MODELS WITH UNCOUNTABLE SET OF SPIN VALUES ON A CAYLEY TREE

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

    ArticleTheoretical and Computational Physics201620 citations
    ABI

  4. 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

  5. Positive fixed points of quadratic operators and Gibbs measures

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

    ArticleTheoretical and Computational PhysicsPositivity201614 citations
    ABI

  6. 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

  7. The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model

    U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20128 citations
    ABI

  8. 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

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  10. 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

  11. Nonuniqueness of a Gibbs measure for a model on the Cayley tree

    U. A. Rozikov, Ганижон Турдибаевич Мадгозиев

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20113 citations
    ABI

  12. Lyapunov operator L with degenerate kernel and Gibbs measures

    Yu. Kh. Èshkabilov, F. H. Haydarov

    ArticleMathematical Biology Tumor GrowthNanosystems Physics Chemistry Mathematics20173 citations
    ABI

  13. Modulated Phase of a Potts Model with Competing Binary Interactions on a Cayley Tree

    Nasir Ganikhodjaev, Seyi̇t Temir, Hasan Akın

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20092 citations
    ABI

  14. Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree

    M. M. Rahmatullaev, M. A. Rasulova, Javohir N. Asqarov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20232 citations
    ABI

  15. Translation-invariant Gibbs measures for a model with logarithmic potential on a Cayley tree

    Yu. Kh. Èshkabilov, Sh.P. Bobonazarov, R.I. Teshaboev

    ArticleTheoretical and Computational PhysicsNanosystems Physics Chemistry Mathematics20161 citations
    ABI

  16. On dynamics of Volterra and non-Volterra cubic stochastic operators

    Uygun Jamilov, A. Yu. Khamrayev

    ArticleAdvanced Topics in AlgebraDynamical Systems20211 citations
    ABI

  17. Weakly Periodic Gibbs Measures of the Ising Model on the Cayley Tree of Order Five and Six

    Nasir Ganikhodjaev, M. M. Rahmatullaev, Mohd Hirzie Rodzhan

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry20171 citations
    ABI

  18. Weakly Periodic Gibbs Measures in the HC-Model for a Normal Divisor of Index Four

    Rustam Khakimov

    PreprintTheoretical and Computational PhysicsUkrainian Mathematical Journal20161 citations
    ABI

  19. Periodic Gibbs Measures for Models with Uncountable Set of Spin Values on a Cayley Tree

    U. A. Rozikov, F. H. Haydarov

    PreprintTheoretical and Computational PhysicsarXiv (Cornell University)20130 citations
    ABI