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Работы, цитирующие эту работу

Работ: 33

Работа: Markov Random Fields on an Infinite Tree

  1. Description of periodic extreme gibbs measures of some lattice models on the Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics1997Цитирований: 83
    ABI

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

    Yuri Suhov, U. A. Rozikov

    СтатьяGraph theory and applicationsQueueing Systems2004Цитирований: 49
    ABI

  3. Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2009Цитирований: 38
    ABI

  4. Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2008Цитирований: 34
    ABI

  5. On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field*

    Leonid V. Bogachev, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment2019Цитирований: 29
    ABI

  6. 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

  7. 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

  8. Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous ising model

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics1999Цитирований: 25
    ABI

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. Positive fixed points of quadratic operators and Gibbs measures

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

    СтатьяTheoretical and Computational PhysicsPositivity2016Цитирований: 14
    ABI

  15. 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

  16. An Ising model with three competing interactions on a Cayley tree

    Nasir Ganikhodjaev, Chin Hee Pah, Mohamed Ridza Wahiddin

    СтатьяStochastic processes and statistical mechanicsJournal of Mathematical Physics2004Цитирований: 8
    ABI

  17. Fixed points of Lyapunov integral operators and Gibbs measures

    F. H. Haydarov

    СтатьяTheoretical and Computational PhysicsPositivity2018Цитирований: 8
    ABI

  18. Exact solution of an Ising model with competing interactions on a Cayley tree

    Nasir Ganikhodjaev, Chin Hee Pah, Mohamed Ridza Wahiddin

    СтатьяTheoretical and Computational PhysicsJournal of Physics A Mathematical and General2003Цитирований: 7
    ABI

  19. 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

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

    U. A. Rozikov

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

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

    Farrukh Mukhamedov, Otabek Khakimov

    СтатьяTheoretical and Computational PhysicsNonlinearity2023Цитирований: 5
    ABI

  22. Модели с четырьмя конкурирующими взаимодействиями и с несчетным множеством значений спина на дереве Кэли

    U. A. Rozikov, Фарход Халимжонович Хайдаров

    СтатьяNeural Networks and ApplicationsТеоретическая и математическая физика2017Цитирований: 4
    ABI

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

    M. M. Rahmatullaev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2015Цитирований: 4
    ABI

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

    M. M. Rakhmatullaev, J. D. Dehqonov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2021Цитирований: 4
    ABI

  25. 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

    СтатьяTheoretical and Computational PhysicsReports on Mathematical Physics2020Цитирований: 3
    ABI