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Works citing this work

71 works

Work: On Pure Phases of the Ising Model on the Bethe Lattices

  1. A Hard-Core Model on a Cayley Tree: An Example of a Loss Network

    Yuri Suhov, U. A. Rozikov

    ArticleGraph theory and applicationsQueueing Systems200449 citations
    ABI

  2. GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

    U. A. Rozikov, Yuri Suhov

    ArticleTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics200634 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 Models with Uncountable Set of Spin Values on a Cayley Tree: Integral Equations

    U. A. Rozikov, Yusup Kh. Eshkobilov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201027 citations
    ABI

  5. Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    Yu. Kh. Èshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201226 citations
    ABI

  6. Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous ising model

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199925 citations
    ABI

  7. Non-uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    Y. K. Eshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201224 citations
    ABI

  8. 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

  9. 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

  10. Fertile HC models with three states on a cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleNonlinear Dynamics and Pattern FormationTheoretical and Mathematical Physics200822 citations
    ABI

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

    M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201321 citations
    ABI

  12. 2 NON-UNIQUENESS OF GIBBS MEASURE FOR MODELS WITH UNCOUNTABLE SET OF SPIN VALUES ON A CAYLEY TREE

    Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational Physics201620 citations
    ABI

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  19. Four competing interactions for models with an uncountable set of spin values on a Cayley tree

    U. A. Rozikov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201715 citations
    ABI

  20. Positive fixed points of quadratic operators and Gibbs measures

    Yusup Khalbaevich Eshkabilov, Shohruh Dilmurodovich Nodirov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsPositivity201614 citations
    ABI

  21. On Free Energies of the Ising Model on the Cayley Tree

    D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201313 citations
    ABI

  22. ON FREE ENERGIES OF THE ISING MODEL ON THE CAYLEY TREE

    Daniel Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    ArticleTheoretical and Computational Physics201613 citations
    ABI

  23. 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

  24. New weakly periodic Gibbs measures of Ising model on Cayley tree

    M. M. Rakhmatullaev

    ArticleOpinion Dynamics and Social InfluenceRussian Mathematics201512 citations
    ABI

  25. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model

    Р. М. Хакимов, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics202010 citations
    ABI