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Works cited by this work

24 works

Work: Potts model on a Cayley tree: a new class of Gibbs measures

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
    ABI

  3. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

  4. The Potts Model with Countable Set of Spin Values on a Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200660 citations
    ABI

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

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

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201445 citations
    ABI

  6. Pure phases of the ferromagnetic Potts model with three states on a second-order Bethe lattice

    Насир Набиевич Ганиходжаев

    Article199041 citations
    ABI

  7. Untitled

    Other40 citations
    ABI

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

    U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201325 citations
    ABI

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

    M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201321 citations
    ABI

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

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201420 citations
    ABI

  11. 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

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

    R. M. Khakimov, F. Kh. Khaydarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201613 citations
    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

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics202212 citations
    ABI

  14. Untitled

    Other12 citations
    ABI

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

    R. M. Khakimov, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201911 citations
    ABI

  16. Untitled

    Other11 citations
    ABI

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

    U. A. Rozikov

    Review articleTheoretical and Computational PhysicsReviews in Mathematical Physics20219 citations
    ABI

  18. On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree

    Institut of Mathematics 29 Durmon Yuli Str., 100125, Uzbekistan, M.M. Rahmatullaev

    Article20169 citations
    ABI

  19. Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones

    M. M. Rahmatullaev, U. A. Rozikov

    Article20179 citations
    ABI

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

    M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20168 citations
    ABI

  21. New Periodic Gibbs Measures for q-state Potts Model on a Cayley Tree

    Р. М. Хакимов, Рустамжон Махмудович Хакимов

    Article20146 citations
    ABI

  22. On the Constructive Description of Gibbs Measures for the Potts Model on a Cayley Tree

    M. M. Rahmatullaev, F. К. Rafikov, Sh. Kh. Azamov

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20212 citations
    ABI

  23. INTERNATIONAL SERIES IN NATURAL PHILOSOPHY

    Chapter19772 citations
    ABI

  24. On $(k_0)$-translation-invariant and $(k_0)$-periodic Gibbs measures for Potts model on Cayley tree

    Zhasurbek Dilmurod ugli Dekhkonov

    ArticleTheoretical and Computational PhysicsUfimskii Matematicheskii Zhurnal20221 citations
    ABI