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Works citing this work

29 works

Work: On Gibbs measures of P-adic Potts model on the cayley tree

  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. 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

  4. 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

  5. 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

  6. On cubic equations over p-adic fields

    Farrukh Mukhamedov, B. A. Omirov, Mansoor Saburov

    Articleadvanced mathematical theoriesInternational Journal of Number Theory201413 citations
    ABI

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

    Murod Khamraev, Farrukh Mukhamedov

    Articleadvanced mathematical theoriesJournal of Mathematical Analysis and Applications200510 citations
    ABI

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

    U. A. Rozikov, Otabek Khakimov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics201310 citations
    ABI

  9. 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

  10. 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

  11. Chaotic behavior of the <i>p</i>-adic Potts–Bethe mapping II

    Otabek Khakimov, Farrukh Mukhamedov

    Articleadvanced mathematical theoriesErgodic Theory and Dynamical Systems20219 citations
    ABI

  12. 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

  13. Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k

    M. M. Rahmatullaev, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesMathematical Physics Analysis and Geometry20237 citations
    ABI

  14. p-adic Gibbs measures for the hard core model with three states on the Cayley tree

    Otabek Khakimov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics20135 citations
    ABI

  15. Weakly periodic p-adic quasi-Gibbs measures for the Potts model on a Cayley tree

    M. M. Rahmatullaev, Akbarkhuja Tukhtabaev, Nurkhon Samijonova

    Articleadvanced mathematical theoriesLetters in Mathematical Physics20243 citations
    ABI

  16. $$p$$-Adic Quasi Gibbs Measures for the SOS Model on the Cayley Tree of Order Two

    M. M. Rahmatullaev, Олимхон Ахмедов, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20253 citations
    ABI

  17. Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a

    M. Ladra, B. A. Omirov, U. A. Rozikov

    Articleadvanced mathematical theoriesOpen Mathematics20132 citations
    ABI

  18. A polynomial p-adic dynamical system

    Farrukh Mukhamedov, U. A. Rozikov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics20121 citations
    ABI

  19. Solvability of cubic equations in p-ADIC integers (p &gt; 3)

    Farrukh Mukhamedov, B. A. Omirov, Mansoor Saburov +1

    Articleadvanced mathematical theoriesSiberian Mathematical Journal20131 citations
    ABI

  20. О $p$-адической обобщенной мере Гиббса для модели Изинга на дереве Кэли

    M. M. Rahmatullaev, Otabek Norbutaugli Khakimov, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesТеоретическая и математическая физика20191 citations
    ABI

  21. Translation-invariant p-adic generalized Gibbs measures for the Ising model with a homogeneous external field on a Cayley tree

    Zulxumor Abdukaxorova

    Articleadvanced mathematical theoriesMathematical Physics Analysis and Geometry20251 citations
    ABI

  22. p$$ p $$‐Adic phase transitions for countable state Potts model

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesMathematical Methods in the Applied Sciences20231 citations
    ABI

  23. On Inhomogeneous $p$-Adic Potts Model on a Cayley Tree

    Farrukh Mukhamedov, U. A. Rozikov

    Preprintadvanced mathematical theoriesarXiv (Cornell University)20050 citations
    ABI

  24. Dynamical Systems of Möbius Transformation: Real, $$p$$-Adic and Complex Variables

    E. T. Aliev, U. A. Rozikov

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20240 citations
    ABI

  25. On Some p-adic Quasi-Gibbs Measures for the Three-State SOS Model with External Field on a Binary Tree

    M. M. Rahmatullaev, Олимхон Ахмедов

    Articleadvanced mathematical theoriesMarkov Processes And Related Fields20250 citations
    ABI