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34 works

Work: GIBBS MEASURES FOR SOS MODELS 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

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201445 citations
    ABI

  2. 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

  3. Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200834 citations
    ABI

  4. On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field*

    Leonid V. Bogachev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201929 citations
    ABI

  5. Gradient Gibbs measures for the SOS model with countable values on a Cayley tree

    Florian Henning, Christof Külske, Arnaud Le Ny +1

    ArticleTheoretical and Computational PhysicsElectronic Journal of Probability201921 citations
    ABI

  6. Gibbs measures for the SOS model with four states on a Cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200617 citations
    ABI

  7. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  8. Hard-core and soft-core Widom–Rowlinson models on Cayley trees

    S Kissel, C Külske, U A Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201910 citations
    ABI

  9. Extremality of translation-invariant Gibbs measures for the Potts–SOS model on the Cayley tree

    M M Rahmatullaev, M A Rasulova

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20219 citations
    ABI

  10. 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

  11. Periodic Gibbs Measures for the Potts-SOS Model on a Cayley Tree

    M. A. Rasulova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20198 citations
    ABI

  12. The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model

    U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20128 citations
    ABI

  13. Gibbs measures for the three-state SOS model with external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleTheoretical and Computational PhysicsPositivity20228 citations
    ABI

  14. Non-Translation-Invariant Gibbs Measures of an SOS Model on a Cayley Tree

    M. M. Rahmatullaev, Bunyod U. Abraev

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20207 citations
    ABI

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  16. Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field

    Obid Sh. Karshiboev

    ArticleQuantum chaos and dynamical systemsTheoretical and Mathematical Physics20225 citations
    ABI

  17. Phase transition for the SOS model under inhomogeneous external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleNonlinear Dynamics and Pattern FormationPhase Transitions20225 citations
    ABI

  18. On the set of Gibbs measures for model with a countable set of spin values on Cayley trees

    G. I. Botirov, F. H. Haydarov

    ArticleMarkov Chains and Monte Carlo MethodsPositivity20224 citations
    ABI

  19. Invariance Property on Group Representations of the Cayley Tree and Its Applications

    F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsResults in Mathematics20224 citations
    ABI

  20. Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $$k=2$$

    M. M. Rakhmatullaev, J. D. Dehqonov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20214 citations
    ABI

  21. Localization of translation-invariant Gibbs measures for the Potts and “solid-on-solid” models on a Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20144 citations
    ABI

  22. 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

  23. On set of p-adic Gibbs measures for the countable state 1D SOS model

    Otabek Khakimov, Farrukh Mukhamedov

    Articleadvanced mathematical theoriesJournal of Physics A Mathematical and Theoretical20243 citations
    ABI

  24. $$p$$-Adic Quasi Gibbs Measures for the SOS Model on the Cayley Tree of Order Two

    M. M. Rahmatullaev, Олимхон Ахмедов, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20253 citations
    ABI

  25. Gibbs measures for hardcore-solid-on-solid models on Cayley trees

    Benedikt Jahnel, U. A. Rozikov

    ArticleStochastic processes and statistical mechanicsJournal of Statistical Mechanics Theory and Experiment20242 citations
    ABI