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Works citing this work

71 works

Work: On Pure Phases of the Ising Model on the Bethe Lattices

  1. Hard-core and soft-core Widom–Rowlinson models on Cayley trees

    S Kissel, C Külske, U A Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201910 citations
    ABI

  2. 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

  3. Periodic Gibbs Measures for the Potts-SOS Model on a Cayley Tree

    M. A. Rasulova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20198 citations
    ABI

  4. Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree

    U. A. Rozikov, Р. М. Хакимов, F. Kh. Khaidarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20188 citations
    ABI

  5. 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

  6. On new weakly periodic Gibbs measures of the Ising model on the Cayley tree of order ≤ 5

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsJournal of Physics Conference Series20168 citations
    ABI

  7. 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

  8. Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k

    M. M. Rahmatullaev, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesMathematical Physics Analysis and Geometry20237 citations
    ABI

  9. Non-Translation-Invariant Gibbs Measures of an SOS Model on a Cayley Tree

    M. M. Rahmatullaev, Bunyod U. Abraev

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20207 citations
    ABI

  10. On<i>q</i>-component models on the Cayley tree: the general case

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20067 citations
    ABI

  11. Group representation of the Cayley forest and some of its applications

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    ArticleStochastic processes and statistical mechanicsIzvestiya Mathematics20036 citations
    ABI

  12. 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

  13. 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

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  15. Absolute continuity of non-homogeneous Gibbs measures of the Ising model on the Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    ArticleTheoretical and Computational PhysicsNonlinearity20235 citations
    ABI

  16. 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

  17. The disordered phase of the inhomogeneous potts model is extremal on the Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20004 citations
    ABI

  18. 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

  19. 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

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

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20014 citations
    ABI

  21. 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

  22. 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

  23. Von Neumann algebras generated by translation-invariant Gibbs states of the Ising model on a Bethe lattice

    Farrukh Mukhamedov

    ArticleRandom Matrices and ApplicationsTheoretical and Mathematical Physics20003 citations
    ABI

  24. 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

  25. 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