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U. A. Rozikov

132 works

Institute of Mathematics at National University of Uzbekistan, Tashkent, Uzbekistan

  1. 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

  2. On unordered phases of certain models on a Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsSbornik Mathematics19998 citations
    ABI

  3. A HC model with countable set of spin values: Uncountable set of Gibbs measures

    U. A. Rozikov, F. H. Haydarov

    Review articleTheoretical and Computational PhysicsReviews in Mathematical Physics20228 citations
    ABI

  4. Gibbs Periodic Measures for a Two-State HC-Model on a Cayley Tree

    U. A. Rozikov, R. M. Khakimov, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsJournal of Mathematical Sciences20247 citations
    ABI

  5. On l-Volterra quadratic stochastic operators

    U. A. Rozikov, Akbar Zada

    ArticleApproximation Theory and Sequence SpacesDoklady Mathematics20097 citations
    ABI

  6. New Phase Transitions of the Ising Model on Cayley Trees

    Daniel Gandolfo, F. H. Haydarov, U. A. Rozikov +1

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20137 citations
    ABI

  7. On<i>q</i>-component models on the Cayley tree: the general case

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20067 citations
    ABI

  8. Thermodynamics of interacting systems of DNA molecules

    U. A. Rozikov

    ArticleDNA and Nucleic Acid ChemistryTheoretical and Mathematical Physics20216 citations
    ABI

  9. Group representation of the Cayley forest and some of its applications

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    ArticleStochastic processes and statistical mechanicsIzvestiya Mathematics20036 citations
    ABI

  10. Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws

    F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20225 citations
    ABI

  11. Separable quadratic stochastic operators

    U. A. Rozikov, Shaheen Nazir

    ArticleMathematical Inequalities and ApplicationsLobachevskii Journal of Mathematics20105 citations
    ABI

  12. Periodic Gibbs Measures for the Ising Model with Competing Interactions

    Kh. A. Nazarov, U. A. Rozikov

    ArticleOpinion Dynamics and Social InfluenceTheoretical and Mathematical Physics20035 citations
    ABI

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  14. On a class of separable quadratic stochastic operators

    U. A. Rozikov, Akbar Zada

    ArticleAdvanced Topics in AlgebraLobachevskii Journal of Mathematics20115 citations
    ABI

  15. Модели с четырьмя конкурирующими взаимодействиями и с несчетным множеством значений спина на дереве Кэли

    U. A. Rozikov, Фарход Халимжонович Хайдаров

    ArticleNeural Networks and ApplicationsТеоретическая и математическая физика20174 citations
    ABI

  16. Mirror Symmetry of Height-Periodic Gradient Gibbs Measures of an SOS Model on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20224 citations
    ABI

  17. 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

  18. The disordered phase of the inhomogeneous potts model is extremal on the Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20004 citations
    ABI

  19. Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20014 citations
    ABI

  20. Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov, N. M. Khatamov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20224 citations
    ABI

  21. 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

  22. Dynamics of linear maps of idempotent measures

    U. A. Rozikov, M. M. Karimov

    ArticleMathematical Dynamics and FractalsLobachevskii Journal of Mathematics20133 citations
    ABI

  23. On real chains of evolution algebras

    B. A. Omirov, U. A. Rozikov, Kanat Tulenbayev

    ArticleAdvanced Topics in AlgebraLinear and Multilinear Algebra20143 citations
    ABI

  24. Periodic Points of a $$p$$-Adic Operator and their $$p$$-Adic Gibbs Measures

    U. A. Rozikov, I. A. Sattarov, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20223 citations
    ABI

  25. Behavior of Trajectories of a Quadratic Operator

    U. A. Rozikov, M. N. Solaeva

    ArticleAdvanced Topics in AlgebraLobachevskii Journal of Mathematics20233 citations
    ABI