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Ish: The Potts Model with Countable Set of Spin Values on a Cayley Tree

  1. Description of the Translation-Invariant Splitting Gibbs Measures for the Potts Model on a Cayley Tree

    Christof Külske, U. A. Rozikov, Р. М. Хакимов

    MaqolaOchiq kirishTheoretical and Computational PhysicsJournal of Statistical Physics201450 iqtibos
    ABI

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

    U. A. Rozikov, Yusup Kh. Eshkobilov

    MaqolaTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201032 iqtibos
    ABI

  3. 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

    MaqolaOchiq kirishTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201230 iqtibos
    ABI

  4. Periodic Gibbs measures for the Potts model on the Cayley tree

    U. A. Rozikov, Р. М. Хакимов

    MaqolaTheoretical and Computational PhysicsTheoretical and Mathematical Physics201327 iqtibos
    ABI

  5. 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

    MaqolaOchiq kirishTheoretical and Computational PhysicsJournal of Statistical Physics201225 iqtibos
    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

    MaqolaTheoretical and Computational Physics201623 iqtibos
    ABI

  7. The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree

    M. M. Rahmatullaev

    MaqolaTheoretical and Computational PhysicsTheoretical and Mathematical Physics201421 iqtibos
    ABI

  8. A Contour Method on Cayley Trees

    U. A. Rozikov

    MaqolaOchiq kirishTheoretical and Computational PhysicsJournal of Statistical Physics200718 iqtibos
    ABI

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

    U. A. Rozikov, F. H. Haydarov

    MaqolaTheoretical and Computational PhysicsTheoretical and Mathematical Physics201717 iqtibos
    ABI

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

    Р. М. Хакимов

    MaqolaTheoretical and Computational PhysicsTheoretical and Mathematical Physics201517 iqtibos
    ABI

  11. Positive fixed points of quadratic operators and Gibbs measures

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

    MaqolaTheoretical and Computational PhysicsPositivity201616 iqtibos
    ABI

  12. Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree

    R. M. Khakimov, F. Kh. Khaydarov

    MaqolaOchiq kirishTheoretical and Computational PhysicsTheoretical and Mathematical Physics201614 iqtibos
    ABI

  13. Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev, Р. М. Хакимов

    MaqolaTheoretical and Computational PhysicsTheoretical and Mathematical Physics202212 iqtibos
    ABI

  14. Gibbs measures of Potts model on Cayley trees: A survey and applications

    U. A. Rozikov

    Sharh maqolaOchiq kirishTheoretical and Computational PhysicsReviews in Mathematical Physics202111 iqtibos
    ABI

  15. Translation Invariance of the Periodic Gibbs Measures for the Potts Model on the Cayley Tree

    R. M. Khakimov, M. T. Makhammadaliev

    MaqolaOchiq kirishTheoretical and Computational PhysicsTheoretical and Mathematical Physics201911 iqtibos
    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

    MaqolaOchiq kirishTheoretical and Computational PhysicsLobachevskii Journal of Mathematics201311 iqtibos
    ABI

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

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

    MaqolaTheoretical and Computational PhysicsTheoretical and Mathematical Physics201810 iqtibos
    ABI

  18. Периодические меры Гиббса для модели Поттса на дереве Кэли

    Розиков, Розиков, Хакимов +1

    MaqolaOchiq kirish201310 iqtibos
    ABI

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

    Р. М. Хакимов

    MaqolaTheoretical and Computational PhysicsТеоретическая и математическая физика20159 iqtibos
    ABI

  20. On Weakly Periodic Gibbs Measures for the Potts Model with External Field on the Cayley Tree

    M. M. Rakhmatullaev

    MaqolaOchiq kirishTheoretical and Computational PhysicsUkrainian Mathematical Journal20168 iqtibos
    ABI

  21. Существование слабо периодических мер Гиббса для модели Поттса на дереве Кэли

    M. M. Rakhmatullaev, M. M. Rakhmatullaev

    MaqolaOchiq kirish20148 iqtibos
    ABI

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

    Yusup Kh. Eshkabilov, Shohruh Dilmurodovich Nodirov

    MaqolaOchiq kirishadvanced mathematical theoriesJournal of Siberian Federal University Mathematics & Physics20197 iqtibos
    ABI

  23. Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree

    G. I. Botirov, Umidjon Usmonaliyevich Qayumov

    MaqolaTheoretical and Computational PhysicsTheoretical and Mathematical Physics20216 iqtibos
    ABI

  24. Nonprobability Gibbs measures for the HC model with a countable set of spin values for a “wand”-type graph on a Cayley tree

    Р. М. Хакимов, M. T. Makhammadaliev

    MaqolaTheoretical and Computational PhysicsTheoretical and Mathematical Physics20226 iqtibos
    ABI

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

    U. A. Rozikov

    Sharh maqolaStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 iqtibos
    ABI