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Works cited by this work

48 works

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

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

    Robert L. Benedetto

    Article20019 citations
    ABI

  2. 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

  3. Untitled

    Other9 citations
    ABI

  4. On<i>p</i>-adic Ising–Vannimenus model on an arbitrary order Cayley tree

    Farrukh Mukhamedov, Mansoor Saburov, Otabek Khakimov

    Article20159 citations
    ABI

  5. 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

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

    Hansheng Diao, Cesar E. Silva

    Article20117 citations
    ABI

  7. Periodic p-adic Gibbs Measures of q-State Potts Model on Cayley Trees I: The Chaos Implies the Vastness of the Set of p-Adic Gibbs Measures

    Mohd Ali Khameini Ahmad, Lingmin Liao, Mansoor Saburov

    Article20187 citations
    ABI

  8. p-Adic solid-on-solid model on a Cayley tree

    Otabek Khakimov

    Article20177 citations
    ABI

  9. Untitled

    Other7 citations
    ABI

  10. Untitled

    Other7 citations
    ABI

  11. Reduction, Dynamics, and Julia Sets of Rational Functions

    Robert L. Benedetto

    Article20016 citations
    ABI

  12. From Phase Transitions to Chaos

    G. Györgyi, Imre Kondor, L. Sasvári +1

    Book19925 citations
    ABI

  13. 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

  14. Minimality of &lt;i&gt;p&lt;/i&gt;-adic rational maps with good reduction

    Aihua Fan, Shilei Fan, Lingmin Liao +1

    Article20174 citations
    ABI

  15. Non-Archimedean Ergodic Theory and Pseudorandom Generators

    Vladimir Anashin

    Article20084 citations
    ABI

  16. On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesDynamical Systems20164 citations
    ABI

  17. Untitled

    Other4 citations
    ABI

  18. On chaotic behaviour of the <i>p</i>-adic generalized Ising mapping and its application

    Farrukh Mukhamedov, Hasan Akın, Mutlay Dogan

    Article20173 citations
    ABI

  19. Julia sets associated with the Potts model on the Bethe lattice and other recursively solved systems

    James L. Monroe

    Article20012 citations
    ABI

  20. T-functions revisited: new criteria for bijectivity/transitivity

    Vladimir Anashin, Andrei Khrennikov, Ekaterina Yurova

    Article20122 citations
    ABI

  21. Untitled

    Other2 citations
    ABI

  22. Translation-invariant p-adic quasi-Gibbs measures for the Ising–Vannimenus model on a Cayley tree

    Farrukh Mukhamedov, Mansoor Saburov, Otabek Khakimov

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics20161 citations
    ABI

  23. Untitled

    Other1 citations
    ABI