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Работы, цитирующие эту работу

Работ: 49

Работа: 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

    СтатьяTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry2010Цитирований: 27
    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

    СтатьяTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry2012Цитирований: 26
    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

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2012Цитирований: 24
    ABI

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

    G. I. Botirov, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2007Цитирований: 22
    ABI

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

    U. A. Rozikov, Sh. A. Shoyusupov

    СтатьяNonlinear Dynamics and Pattern FormationTheoretical and Mathematical Physics2008Цитирований: 22
    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

    СтатьяTheoretical and Computational Physics2016Цитирований: 20
    ABI

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

    Nasir Ganikhodjaev, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry2009Цитирований: 19
    ABI

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

    U. A. Rozikov, Sh. A. Shoyusupov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2006Цитирований: 17
    ABI

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

    Hasan Akın, U. A. Rozikov, Seyi̇t Temir

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2010Цитирований: 16
    ABI

  10. A Contour Method on Cayley Trees

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2007Цитирований: 16
    ABI

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

    Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2015Цитирований: 16
    ABI

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

    U. A. Rozikov, F. H. Haydarov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2017Цитирований: 15
    ABI

  13. Positive fixed points of quadratic operators and Gibbs measures

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

    СтатьяTheoretical and Computational PhysicsPositivity2016Цитирований: 14
    ABI

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

    Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsMathematical Notes2013Цитирований: 12
    ABI

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

    Р. М. Хакимов, M. T. Makhammadaliev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2020Цитирований: 10
    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

    СтатьяTheoretical and Computational PhysicsLobachevskii Journal of Mathematics2013Цитирований: 10
    ABI

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

    Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsТеоретическая и математическая физика2015Цитирований: 8
    ABI

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

    U. A. Rozikov, Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2012Цитирований: 8
    ABI

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

    Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsSiberian Mathematical Journal2018Цитирований: 8
    ABI

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

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

    СтатьяTheoretical and Computational PhysicsJournal of Mathematical Sciences2024Цитирований: 7
    ABI

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

    G. I. Botirov, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment2006Цитирований: 7
    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

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2021Цитирований: 6
    ABI

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

    Yusup Kh. Eshkabilov, Shohruh Dilmurodovich Nodirov

    Статьяadvanced mathematical theoriesJournal of Siberian Federal University Mathematics & Physics2019Цитирований: 5
    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

    СтатьяTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics2023Цитирований: 5
    ABI

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

    U. A. Rozikov

    Обзорная статьяStochastic processes and statistical mechanicsReviews in Mathematical Physics2013Цитирований: 5
    ABI