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Works citing this work

49 works

Work: A Hard-Core Model on a Cayley Tree: An Example of a Loss Network

  1. On Models with Uncountable Set of Spin Values on a Cayley Tree: Integral Equations

    U. A. Rozikov, Yusup Kh. Eshkobilov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201027 citations
    ABI

  2. 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

  3. 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

  4. Potts model with competing interactions on the Cayley tree: The contour method

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200722 citations
    ABI

  5. Fertile HC models with three states on a cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleNonlinear Dynamics and Pattern FormationTheoretical and Mathematical Physics200822 citations
    ABI

  6. 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

  7. On Ising Model with Four Competing Interactions on Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry200919 citations
    ABI

  8. Gibbs measures for the SOS model with four states on a Cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200617 citations
    ABI

  9. A New Set of Limiting Gibbs Measures for the Ising Model on a Cayley Tree

    Hasan Akın, U. A. Rozikov, Seyi̇t Temir

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201016 citations
    ABI

  10. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  11. Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201516 citations
    ABI

  12. 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

  13. Positive fixed points of quadratic operators and Gibbs measures

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

    ArticleTheoretical and Computational PhysicsPositivity201614 citations
    ABI

  14. Uniqueness of weakly periodic Gibbs measure for HC-models

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsMathematical Notes201312 citations
    ABI

  15. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model

    Р. М. Хакимов, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics202010 citations
    ABI

  16. 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

  17. Трансляционно-инвариантные меры Гиббса для плодородных моделей "hard core" с тремя состояниями на дереве Кэли

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20158 citations
    ABI

  18. 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

  19. Weakly Periodic Gibbs Measures for HC-Models on Cayley Trees

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsSiberian Mathematical Journal20188 citations
    ABI

  20. Gibbs Periodic Measures for a Two-State HC-Model on a Cayley Tree

    U. A. Rozikov, R. M. Khakimov, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsJournal of Mathematical Sciences20247 citations
    ABI

  21. 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

  22. 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

  23. 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

  24. 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

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI