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Works citing this work

38 works

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

  1. Слабо периодические меры Гиббса для модели Изинга на дереве Кэли порядка $k=2$

    M. M. Rahmatullaev, Zhasurbek Dilmurod ugli Dekhkonov

    ArticleMilitary Technology and StrategiesТеоретическая и математическая физика20211 citations
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  2. 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
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  3. Constructive Gibbs measures for the Ising model on the Cayley tree

    M. M. Rahmatullaev, Zulxumor A. Burxonova

    ArticleOpinion Dynamics and Social InfluenceReports on Mathematical Physics20241 citations
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  4. Weakly periodic gibbs measures for the HC model with a countable set of spin values

    M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20241 citations
    ABI

  5. 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

  6. Weakly Periodic Gibbs Measures of the Ising Model on the Cayley Tree of Order Five and Six

    Nasir Ganikhodjaev, M. M. Rahmatullaev, Mohd Hirzie Rodzhan

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry20171 citations
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  7. 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

  8. 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

  9. Соединения Холлидея в множестве молекул ДНК для новых трансляционно-инвариантных мер Гиббса модели Поттса

    N. M. Khatamov, Nematulli Naimdjana ugli Malikova

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20240 citations
    ABI

  10. Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model

    N. M. Khatamov, N.N. Malikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20240 citations
    ABI

  11. 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

  12. Ground States and Gibbs Measures for the SOS Model with an External Field and Countable Set of Spin Values on a Cayley Tree

    M. M. Rahmatullaev, Bunyod U. Abraev

    ArticleQuantum chaos and dynamical systemsLobachevskii Journal of Mathematics20240 citations
    ABI

  13. Free energy and entropy for the constructive Gibbs measures of the Ising model on the Cayley tree of order three

    M. M. Rahmatullaev, Zulxumor A. Burxonova

    ArticleTheoretical and Computational PhysicsNanosystems Physics Chemistry Mathematics20250 citations
    ABI