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Works citing this work

81 works

Work: Gibbs Measures and Phase Transitions

  1. Description of periodic extreme gibbs measures of some lattice models on the Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199783 citations
    ABI

  2. 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

  3. 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

  4. 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

  5. Periodic Gibbs measures for the Potts model on the Cayley tree

    U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201325 citations
    ABI

  6. The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201420 citations
    ABI

  7. Phase transition and chaos: P -adic Potts model on a Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesChaos Solitons & Fractals201619 citations
    ABI

  8. 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

  9. 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

  10. 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

  11. 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

  12. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  13. Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201516 citations
    ABI

  14. A p-Adic Generalized Gibbs Measure for the Ising Model on a Cayley Tree

    M. M. Rahmatullaev, O. N. Khakimov, A. M. Tukhtaboev

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics201915 citations
    ABI

  15. Translation‐invariant generalized <i>P</i>‐adic Gibbs measures for the Ising model on Cayley trees

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesMathematical Methods in the Applied Sciences202015 citations
    ABI

  16. A chain of evolution algebras

    J. M. Casas, M. Ladra, U. A. Rozikov

    ArticleNonlinear Dynamics and Pattern FormationLinear Algebra and its Applications201114 citations
    ABI

  17. 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

  18. 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

  19. Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree

    R. M. Khakimov, F. Kh. Khaydarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201613 citations
    ABI

  20. 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

  21. Evolution algebras generated by Gibbs measures

    U. A. Rozikov, Jianjun Paul Tian

    ArticleAdvanced Topics in AlgebraLobachevskii Journal of Mathematics201111 citations
    ABI

  22. Translation Invariance of the Periodic Gibbs Measures for the Potts Model on the Cayley Tree

    R. M. Khakimov, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201911 citations
    ABI

  23. Non Periodic p-Adic Generalized Gibbs Measure for Ising Model

    M. M. Rahmatullaev, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications201911 citations
    ABI

  24. p-adic Gibbs measures and Markov random fields on countable graphs

    U. A. Rozikov, Otabek Khakimov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics201310 citations
    ABI

  25. p-Adic Gibbs quasimeasures for the Vannimenus model on a Cayley tree

    O. N. Khakimov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics201410 citations
    ABI