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Works cited by this work

55 works

Work: The $p$-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

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

    Neal Koblitz

    Book197743 citations
    ABI

  4. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

  5. p-Adic Analysis and Mathematical Physics

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

    Book199437 citations
    ABI

  6. THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY

    I. Ya. Aref’eva, Бранко Драгович, Paul H. Frampton +1

    Article199123 citations
    ABI

  7. p-Adic Valued Distributions in Mathematical Physics

    Andrei Khrennikov

    Book199421 citations
    ABI

  8. -adic monomial equations and their perturbations

    F. M. Mukhamedov, O. N. Khakimov

    Article201921 citations
    ABI

  9. p-adic string

    И. В. Волович

    Article198720 citations
    ABI

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

    Andrei Khrennikov

    Book199720 citations
    ABI

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

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesChaos Solitons & Fractals201619 citations
    ABI

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

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesDiscrete and Continuous Dynamical Systems201716 citations
    ABI

  13. 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

  14. 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

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

    Farrukh Mukhamedov

    Article201515 citations
    ABI

  16. On a generalized p-adic Gibbs measure for Ising model on trees

    Otabek Khakimov

    Article201415 citations
    ABI

  17. Untitled

    Other15 citations
    ABI

  18. Application of<i>p</i>-adic analysis to models of breaking of replica symmetry

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

    Article199914 citations
    ABI

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

    Farrukh Mukhamedov, Otabek Khakimov

    Article201714 citations
    ABI

  20. On non-Archimedean recurrence equations and their applications

    Farrukh Mukhamedov, Hasan Akın

    Article201413 citations
    ABI

  21. On cubic equations over p-adic fields

    Farrukh Mukhamedov, B. A. Omirov, Mansoor Saburov

    Articleadvanced mathematical theoriesInternational Journal of Number Theory201413 citations
    ABI

  22. On P-adic λ-model on the Cayley tree

    Murod Khamraev, Farrukh Mukhamedov

    Article200412 citations
    ABI

  23. On P-Adic λ-Model on the Cayley Tree II: Phase Transitions

    Farrukh Mukhamedov, Mutlay Doğan

    Article201512 citations
    ABI

  24. Generalized probabilities taking values in non-Archimedean fields and in topological groups

    A. Yu. Khrennikov

    Article200712 citations
    ABI

  25. On p-adic mathematical physics

    Бранко Драгович, Andrei Yu. Khrennikov, С. В. Козырев +1

    Article200912 citations
    ABI