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17 works

Work: Rigidity of the Critical Phases on a Cayley Tree

  1. 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

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

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200622 citations
    ABI

  3. On Ising Model with Four Competing Interactions on Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry200919 citations
    ABI

  4. On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding von Neumann Algebras

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200419 citations
    ABI

  5. 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

  6. 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

  7. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  8. 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

  9. An Ising model with three competing interactions on a Cayley tree

    Nasir Ganikhodjaev, Chin Hee Pah, Mohamed Ridza Wahiddin

    ArticleStochastic processes and statistical mechanicsJournal of Mathematical Physics20048 citations
    ABI

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

    M. A. Rasulova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20198 citations
    ABI

  11. Exact solution of an Ising model with competing interactions on a Cayley tree

    Nasir Ganikhodjaev, Chin Hee Pah, Mohamed Ridza Wahiddin

    ArticleTheoretical and Computational PhysicsJournal of Physics A Mathematical and General20037 citations
    ABI

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  13. Absolute continuity of non-homogeneous Gibbs measures of the Ising model on the Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    ArticleTheoretical and Computational PhysicsNonlinearity20235 citations
    ABI

  14. 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

  15. 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

  16. On Gibbs measures of the Ising model on (k,m)-ary trees

    Aminah Qawasmeh, Farrukh Mukhamedov, Otabek Khakimov

    Review articleMarkov Chains and Monte Carlo MethodsReviews in Mathematical Physics20242 citations
    ABI

  17. О периодических мерах Гиббса для модели Поттса-SOS на дереве Кэли

    Mukhayo Akbarzhon kizi Rasulova

    ArticleMilitary Technology and StrategiesТеоретическая и математическая физика20192 citations
    ABI