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Works cited by this work

101 works

Work: P-Adic Dynamical Systems for p-Adic $\lambda $-Models on the Cayley Trees

  1. On a factor associated with the unordered phase of λ-model on a cayley tree

    Farrukh Mukhamedov

    ArticleAdvanced Operator Algebra ResearchReports on Mathematical Physics20048 citations
    ABI

  2. <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

  3. Chaos in p-adic Statistical Lattice Models: Potts Model

    Farrukh Mukhamedov, Otabek Khakimov

    Chapter20218 citations
    ABI

  4. 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

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

    T. P. Eggarter

    Article19747 citations
    ABI

  7. On minimal decomposition of p -adic homographic dynamical systems

    Aihua Fan, Shilei Fan, Lingmin Liao +1

    Article20147 citations
    ABI

  8. 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

  9. The renormalization group and the ε expansion

    Kenneth G. Wilson

    Article19746 citations
    ABI

  10. Non-archimedean strings

    P. Freund, Mark A. Olson

    Article19876 citations
    ABI

  11. The Arithmetic of Dynamical Systems

    Joseph H. Silverman

    Book20076 citations
    ABI

  12. On metric properties of limit sets of contractive analytic non-Archimedean dynamical systems

    Weiyuan Qiu, Yuefei Wang, Jinghua Yang +1

    Article20146 citations
    ABI

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

    Robert L. Benedetto

    Article20016 citations
    ABI

  14. Quantum mechanics andp-adic numbers

    Enrico G. Beltrametti, Gianni Cassinelli

    Article19726 citations
    ABI

  15. Ground States and Phase Transition of the λ Model on the Cayley Tree

    Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil

    Article20186 citations
    ABI

  16. From Phase Transitions to Chaos

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

    Book19925 citations
    ABI

  17. Construction of p-Adic Covariant Quantum Fields in the Framework of White Noise Analysis

    Edilberto Arroyo-Ortiz, W. A. Zúñiga‐Galindo

    Article20195 citations
    ABI

  18. The renormalization group in the theory of critical behavior

    Michael E. Fisher

    Article19744 citations
    ABI

  19. 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

  20. Fractal structure of zeros in hierarchical models

    Bernard Derrida, L. De Sèze, C. Itzykson

    Article19834 citations
    ABI

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

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesDynamical Systems20164 citations
    ABI

  22. On a recursive equation over a <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 field

    Farrukh Mukhamedov

    Article20064 citations
    ABI

  23. Phase transition for the<i>p</i>-adic Ising–Vannimenus model on the Cayley tree

    Farrukh Mukhamedov, Mutlay Doğan, Hasan Akın

    Article20144 citations
    ABI

  24. Periodic Points of a $$p$$-Adic Operator and their $$p$$-Adic Gibbs Measures

    U. A. Rozikov, I. A. Sattarov, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20223 citations
    ABI

  25. On H-Weakly Periodic P-Adic Generalized Gibbs Measures of P-Adic Ising Model with an External Field on a Cayley Tree

    M. M. Rahmatullaev, Zulxumor Abdukaxorova

    Articleadvanced mathematical theoriesReports on Mathematical Physics20253 citations
    ABI