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Works cited by this work

35 works

Work: Weakly periodic measure and phase transition: q-state p-adic Potts model on the Cayley tree of order k

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. p-adic Numbers, p-adic Analysis, and Zeta-Functions

    Neal Koblitz

    Book197743 citations
    ABI

  3. p-Adic Analysis and Mathematical Physics

    V. S. Vladimirov, И. В. Волович, E. I. Zelenov

    Book199437 citations
    ABI

  4. Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200834 citations
    ABI

  5. On Gibbs measures of P-adic Potts model on the cayley tree

    Farrukh Mukhamedov, U. A. Rozikov

    Articleadvanced mathematical theoriesIndagationes Mathematicae200429 citations
    ABI

  6. Untitled

    Other26 citations
    ABI

  7. Applied Algebraic Dynamics

    Vladimir Anashin, Andrei Khrennikov

    Book200924 citations
    ABI

  8. -adic monomial equations and their perturbations

    F. M. Mukhamedov, O. N. Khakimov

    Article201921 citations
    ABI

  9. Existence of a Phase Transition for the Potts p-adic Model on the Set ℤ

    Насир Набиевич Ганиходжаев, Farrukh Mukhamedov, U. A. Rozikov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics200220 citations
    ABI

  10. p-adic string

    И. В. Волович

    Article198720 citations
    ABI

  11. Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models

    Andrei Khrennikov

    Book199720 citations
    ABI

  12. 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

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

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesChaos Solitons & Fractals201619 citations
    ABI

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

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesDiscrete and Continuous Dynamical Systems201716 citations
    ABI

  15. 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

  16. 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

  17. On periodic Gibbs measures of p-adic Potts model on a Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    Article201612 citations
    ABI

  18. 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

  19. 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

  20. On equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mi>a</mml:mi></mml:math>over<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Q</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>

    Farrukh Mukhamedov, Mansoor Saburov

    Article20129 citations
    ABI

  21. 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

  22. On Descriptions of All Translation Invariant p−adic Gibbs Measures for the Potts Model on The Cayley Tree of Order Three

    Mansoor Saburov, Mohd Ali Khameini Ahmad

    Article20157 citations
    ABI

  23. On periodic p-adic generalized Gibbs measures for Ising model on a Cayley tree

    M. M. Rahmatullaev, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesLetters in Mathematical Physics20227 citations
    ABI

  24. <i>p</i>-adic models of ultrametric diffusion constrained by hierarchical energy landscapes

    В. А. Аветисов, А. Х. Бикулов, S. V. Kozyrev +1

    Article20024 citations
    ABI

  25. 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