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Works cited by this work

46 works

Work: Chaotic behavior of the <i>P</i>-adic Potts-Bethe mapping

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

    Neal Koblitz

    Book197743 citations
    ABI

  2. p-Adic Analysis and Mathematical Physics

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

    Book199437 citations
    ABI

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

    Farrukh Mukhamedov, U. A. Rozikov

    Articleadvanced mathematical theoriesIndagationes Mathematicae200429 citations
    ABI

  4. Untitled

    Other26 citations
    ABI

  5. Applied Algebraic Dynamics

    Vladimir Anashin, Andrei Khrennikov

    Book200924 citations
    ABI

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

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesChaos Solitons & Fractals201619 citations
    ABI

  7. p-adic valued probability measures

    Andrew Khrennikov

    Article199617 citations
    ABI

  8. Phase transitions for<i>p</i>-adic Potts model on the Cayley tree of order three

    Farrukh Mukhamedov, Hasan Akın

    Article201316 citations
    ABI

  9. Renormalization Method in p-Adic λ-Model on the Cayley Tree

    Farrukh Mukhamedov

    Article201515 citations
    ABI

  10. A Dynamical System Approach to Phase Transitions for p-Adic Potts Model on the Cayley Tree of Order Two

    Farrukh Mukhamedov

    Article201214 citations
    ABI

  11. On Julia Set and Chaos in p-adic Ising Model on the Cayley Tree

    Farrukh Mukhamedov, Otabek Khakimov

    Article201714 citations
    ABI

  12. 4 RENORMALIZATION METHOD IN p-ADIC λ-MODEL ON THE CAYLEY TREE

    Farrukh Mukhamedov

    Article201612 citations
    ABI

  13. Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields

    S. V. Lüdkovsky, A. Yu. Khrennikov

    Preprint200111 citations
    ABI

  14. P-adic Deterministic and Random Dynamics

    Andrei Yu. Khrennikov, Marcus Nilson

    Book200411 citations
    ABI

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

    Murod Khamraev, Farrukh Mukhamedov

    Articleadvanced mathematical theoriesJournal of Mathematical Analysis and Applications200510 citations
    ABI

  16. p-adic Chaos and Random Number Generation

    C. F. Woodcock, Nigel P. Smart

    Article199810 citations
    ABI

  17. p-adic repellers in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mi mathvariant="double-struck">Q</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:math> are subshifts of finite type

    Aihua Fan, Lingmin Liao, Yue Fei Wang +1

    Article200710 citations
    ABI

  18. Hyperbolic maps in <i>p</i>-adic dynamics

    Robert L. Benedetto

    Article20019 citations
    ABI

  19. 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

  20. Untitled

    Other9 citations
    ABI

  21. p-adic dynamics

    E. Thiran, D. Verstegen, J. Weyers

    Article19898 citations
    ABI

  22. <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-adic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-rational dynamical systems

    Sergio Albeverio, U. A. Rozikov, I. A. Sattarov

    Article20128 citations
    ABI

  23. 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

  24. Digraph representations of rational functions over the p-adic numbers

    Hansheng Diao, Cesar E. Silva

    Article20117 citations
    ABI

  25. Cayley trees, the Ising problem, and the thermodynamic limit

    T. P. Eggarter

    Article19747 citations
    ABI