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22 works

Work: A Constructive Description of Ground States and Gibbs Measures for Ising Model with Two-Step Interactions on Cayley Tree

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

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200938 citations
    ABI

  2. Potts model with competing interactions on the Cayley tree: The contour method

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200722 citations
    ABI

  3. On the three state Potts model with competing interactions on the Bethe lattice

    Nasir Ganikhodjaev, Farrukh Mukhamedov, José F F Mendes

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment200618 citations
    ABI

  4. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  5. 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

  6. On<i>q</i>-component models on the Cayley tree: the general case

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20067 citations
    ABI

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  8. 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

  9. Nonuniqueness of a Gibbs measure for a model on the Cayley tree

    U. A. Rozikov, Ганижон Турдибаевич Мадгозиев

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20113 citations
    ABI

  10. Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree

    M. M. Rahmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20243 citations
    ABI

  11. 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

  12. 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

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

    M. M. Rahmatullaev, Begzod Mukhtorjonovich Isakov

    ArticleOpinion Dynamics and Social InfluenceUfimskii Matematicheskii Zhurnal20232 citations
    ABI

  14. Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree

    Farrukh Mukhamedov, M. M. Rahmatullaev, Dilshodbek O. EgAMOV

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20232 citations
    ABI

  15. Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree

    M. M. Rahmatullaev, M. A. Rasulova, Javohir N. Asqarov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20232 citations
    ABI

  16. New classes of ground states for the Potts model with random competing interactions on a Cayley tree

    N. M. Khatamov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20142 citations
    ABI

  17. 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

  18. 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

  19. 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

  20. Periodic ground states of a Hamiltonian on a Cayley tree

    G. I. Botirov

    ArticleGraph theory and applicationsMathematical Notes20100 citations
    ABI

  21. Ground states for the potts model with an external field

    M. A. Rasulova

    ArticleSpectral Theory in Mathematical PhysicsReports on Mathematical Physics20240 citations
    ABI

  22. 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