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21 works

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

  1. 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

  2. Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree

    M. M. Rakhmatullaev, M. A. Rasulova

    ArticleQuantum chaos and dynamical systemsSiberian Advances in Mathematics201612 citations
    ABI

  3. 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

  4. 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

  5. Weakly Periodic Ground States for the λ-Model

    Farrukh Mukhamedov, M. M. Rakhmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20205 citations
    ABI

  6. 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

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20214 citations
    ABI

  7. Periodic and weakly periodic ground states corresponding to subgroups of index three for the ising model on cayley tree

    M. M. Rahmatullaev, D.O. Egamov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20212 citations
    ABI

  8. Основные состояния модели Поттса с конкурирующими взаимодействиями и счетным множеством значений спина на дереве Кэли

    G. I. Botirov, Umidjon Usmonaliyevich Qayumov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20212 citations
    ABI

  9. Периодические меры Гиббса для модели Поттса с трансляционно-инвариантным и периодическим внешними полями на дереве Кэли

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

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20212 citations
    ABI

  10. Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree

    M. M. Rahmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsMathematical Notes20222 citations
    ABI

  11. Ground states of Ising-Potts model on Cayley tree

    M. M. Rahmatullaev, Begzod Mukhtorjonovich Isakov

    ArticleOpinion Dynamics and Social InfluenceUfimskii Matematicheskii Zhurnal20232 citations
    ABI

  12. A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsSiberian Mathematical Journal20152 citations
    ABI

  13. Меры Гиббса для обобщенной модели Поттса с радиусом взаимодействия два на дереве Кэли

    N. M. Khatamov, Ганижон Турдибаевич Мадгозиев

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20152 citations
    ABI

  14. Periodic and Weakly Periodic Ground States for the λ-Model on Cayley Tree

    Farrukh Mukhamedov, Chin Hee Pah, Muzaffar Rahimatullaev +1

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20171 citations
    ABI

  15. On Ground States for the SOS Model with Competing Interactions

    M. M. Rahmatullaev

    ArticleQuantum chaos and dynamical systemsJournal of Siberian Federal University Mathematics & Physics20221 citations
    ABI

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

    M. M. Rakhmatullaev, J. D. Dehkonov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20231 citations
    ABI

  17. Трансляционно-инвариантные меры Гиббса для модели Изинга-Поттса на дереве Кэли второго порядка

    M. M. Rahmatullaev, Begzod Mukhtorjonovich Isakov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20241 citations
    ABI

  18. Gibbs measures for a generalized Potts model with the interaction radius two on a Cayley tree

    N. M. Hatamov, Ганижон Турдибаевич Мадгозиев

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20151 citations
    ABI

  19. Модель Поттса на дереве Кэли: новый класс гиббсовских мер

    M. M. Rahmatullaev, Zhasurbek Dilmurod ugli Dekhkonov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20231 citations
    ABI

  20. 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

  21. Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree

    M. M. Rakhmatullaev, Begzod Mukhtorjonovich Isakov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20240 citations
    ABI