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U. A. Rozikov

132 works

Institute of Mathematics, Uzbek Academy of Sciences, Tashkent, Uzbekistan

  1. 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

  2. On Cubic Operators Defined on Finite-Dimensional Simplexes

    U. A. Rozikov, A. Yu. Khamraev

    ArticleAdvanced Topics in AlgebraUkrainian Mathematical Journal200416 citations
    ABI

  3. 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

  4. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  5. 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

  6. ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE

    Farrukh Mukhamedov, U. A. Rozikov

    Articleadvanced mathematical theoriesInfinite Dimensional Analysis Quantum Probability and Related Topics200514 citations
    ABI

  7. A chain of evolution algebras

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

    ArticleNonlinear Dynamics and Pattern FormationLinear Algebra and its Applications201114 citations
    ABI

  8. 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

  9. 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

  10. 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

  11. Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree

    U. A. Rozikov, F. H. Haydarov

    ArticleMarkov Chains and Monte Carlo MethodsInfinite Dimensional Analysis Quantum Probability and Related Topics201512 citations
    ABI

  12. On Non-Volterra Quadratic Stochastic Operators Generated by a Product Measure

    U. A. Rozikov, N. B. Shamsiddinov

    ArticleApproximation Theory and Sequence SpacesStochastic Analysis and Applications200911 citations
    ABI

  13. Evolution algebras generated by Gibbs measures

    U. A. Rozikov, Jianjun Paul Tian

    ArticleAdvanced Topics in AlgebraLobachevskii Journal of Mathematics201111 citations
    ABI

  14. Description of periodic p-harmonic functions on Cayley tree

    U. A. Rozikov, Farruh T. Ishankulov

    ArticleAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations and Applications NoDEA200911 citations
    ABI

  15. ON DYNAMICS OF ℓ-VOLTERRA QUADRATIC STOCHASTIC OPERATORS

    U. A. Rozikov, Akbar Zada

    ArticleAdvanced Topics in AlgebraInternational Journal of Biomathematics201010 citations
    ABI

  16. On a nonlinear p-adic dynamical system

    U. A. Rozikov, I. A. Sattarov

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications201410 citations
    ABI

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

    U. A. Rozikov, Otabek Khakimov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics201310 citations
    ABI

  18. Holliday Junctions for the Potts Model of DNA

    U. A. Rozikov

    ChapterSpectroscopy and Quantum Chemical StudiesSpringer proceedings in mathematics & statistics201810 citations
    ABI

  19. Ocean ecosystem discrete time dynamics generated by ℓ-Volterra operators

    U. A. Rozikov, S. K. Shoyimardonov

    ArticleAdvanced Topics in AlgebraInternational Journal of Biomathematics201910 citations
    ABI

  20. Phase transitions for a model with uncountable set of spin values on a Cayley tree

    Yu. Kh. Èshkabilov, U. A. Rozikov, G. I. Botirov

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics201310 citations
    ABI

  21. 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

  22. A description of harmonic functions via properties of the group representation of the Cayley tree

    É. P. Normatov, U. A. Rozikov

    ArticleMathematical Dynamics and FractalsMathematical Notes20069 citations
    ABI

  23. Free energies of the Potts model on a Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20179 citations
    ABI

  24. Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree

    U. A. Rozikov, Р. М. Хакимов, F. Kh. Khaidarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20188 citations
    ABI

  25. p-adic boundary laws and Markov chains on trees

    Arnaud Le Ny, Lingmin Liao, U. A. Rozikov

    Articleadvanced mathematical theoriesLetters in Mathematical Physics20208 citations
    ABI