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Mathematical Dynamics and Fractals

166 works

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

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesChaos Solitons & Fractals201619 citations
    ABI

  2. Chaotic behavior of the <i>P</i>-adic Potts-Bethe mapping

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesDiscrete and Continuous Dynamical Systems201716 citations
    ABI

  3. On the Uniqueness of Gibbs Measures for p-Adic Nonhomogeneous ?-Model on the Cayley Tree

    Murod Khamraev, Farruh Mukhamedov, Utkir Rozikov

    Articleadvanced mathematical theoriesLetters in Mathematical Physics200416 citations
    ABI

  4. 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

  5. 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

  6. Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex

    Rasul Ganikhodzhaev, M. A. Tadzhieva, Dilfuza Eshmamatova

    ArticleAdvanced Differential Equations and Dynamical SystemsJournal of Mathematical Sciences202013 citations
    ABI

  7. Circle homeomorphisms with two break points

    Akhtam Dzhalilov, Isabelle Liousse

    ArticleMathematical Dynamics and FractalsNonlinearity200612 citations
    ABI

  8. On a class of rational p-adic dynamical systems

    Murod Khamraev, Farrukh Mukhamedov

    Articleadvanced mathematical theoriesJournal of Mathematical Analysis and Applications200510 citations
    ABI

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

    U. A. Rozikov, Otabek Khakimov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics201310 citations
    ABI

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

    O. N. Khakimov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics201410 citations
    ABI

  11. 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

  12. 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

  13. Piecewise-smooth circle homeomorphisms with several break points

    Akhtam Dzhalilov, Dieter Mayer, Utkir Avlayarovich Safarov

    ArticleMathematical Dynamics and FractalsIzvestiya Mathematics20129 citations
    ABI

  14. On $$G_2$$-Periodic Quasi Gibbs Measures of $$p$$-Adic Potts Model on a Cayley Tree

    Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20219 citations
    ABI

  15. 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

  16. On the ergodic principle for Markov and quadratic stochastic processes and its relations

    Nasir Ganikhodjaev, Hasan Akın, Farrukh Mukhamedov

    ArticleStochastic processes and financial applicationsLinear Algebra and its Applications20069 citations
    ABI

  17. 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

  18. Fixed points of Lyapunov integral operators and Gibbs measures

    F. H. Haydarov

    ArticleTheoretical and Computational PhysicsPositivity20188 citations
    ABI

  19. On ground states and phase transition for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e206" altimg="si4.svg"><mml:mi>λ</mml:mi></mml:math>-model with the competing Potts interactions on Cayley trees

    Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil +1

    ArticleTheoretical and Computational PhysicsPhysica A Statistical Mechanics and its Applications20208 citations
    ABI

  20. 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

  21. Mathematical Modeling of Pascal Triangular Fractal Patterns and Its Practical Application

    Shahzoda Anarova, Z. E. Ibrohimova, Oybek Mirzaevich Narzulloev +1

    ChapterAdvanced Computational Techniques and ApplicationsLecture notes in computer science20217 citations
    ABI

  22. Thermodynamic Formalism and Singular Invariant Measures for Critical Circle Maps

    Akhtam Dzhalilov

    ArticleMathematical Dynamics and FractalsTheoretical and Mathematical Physics20036 citations
    ABI

  23. On Limit Theorem for the Number of Vertices of the Convex Hulls in a Unit Disk

    Isakjan Khamdamov

    ArticlePoint processes and geometric inequalitiesJournal of Siberian Federal University Mathematics & Physics20206 citations
    ABI

  24. Tournaments of Volterra type transversal operators acting in a simplex Sm−1

    Dilfuza Eshmamatova, Rasul Ganikhodzhaev

    ArticleAdvanced Topics in AlgebraAIP conference proceedings20216 citations
    ABI

  25. An analytical description of mandelbrot and Julia sets for some multi-dimensional cubic mappings

    Rasul Ganikhodzhayev, Shavkat Jumabayevich Seytov

    ArticleMathematical Dynamics and FractalsAIP conference proceedings20216 citations
    ABI