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Works cited by this work

29 works

Work: $p$-Adic Quasi Gibbs Measures for the Three-State SOS Model with an External Field on a Cayley Tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
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  2. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

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

    Neal Koblitz

    Book197743 citations
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  4. Random surfaces with two-sided constraints: An application of the theory of dominant ground states

    A. Mazel, Yu. M. Suhov

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  5. p-Adic Analysis and Mathematical Physics

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

    Book199437 citations
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  6. GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

    U. A. Rozikov, Yuri Suhov

    ArticleTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics200634 citations
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  7. On Gibbs measures of P-adic Potts model on the cayley tree

    Farrukh Mukhamedov, U. A. Rozikov

    Articleadvanced mathematical theoriesIndagationes Mathematicae200429 citations
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  8. -adic monomial equations and their perturbations

    F. M. Mukhamedov, O. N. Khakimov

    Article201921 citations
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  9. p-adic string

    И. В. Волович

    Article198720 citations
    ABI

  10. Gibbs measures for the SOS model with four states on a Cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200617 citations
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  11. 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

  12. 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
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  13. On cubic equations over p-adic fields

    Farrukh Mukhamedov, B. A. Omirov, Mansoor Saburov

    Articleadvanced mathematical theoriesInternational Journal of Number Theory201413 citations
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  14. On P-Adic λ-Model on the Cayley Tree II: Phase Transitions

    Farrukh Mukhamedov, Mutlay Doğan

    Article201512 citations
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  15. On p-adic quasi Gibbs measures for q + 1-state Potts model on the Cayley tree

    Farrukh Mukhamedov

    Article201012 citations
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  16. On periodic Gibbs measures of p-adic Potts model on a Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    Article201612 citations
    ABI

  17. The measure-theoretical approach to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -adic probability theory

    Andrei Khrennikov, Shinichi Yamada, Arnoud van Rooij

    Article199911 citations
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  18. 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
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  19. Untitled

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

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  21. Non-Translation-Invariant Gibbs Measures of an SOS Model on a Cayley Tree

    M. M. Rahmatullaev, Bunyod U. Abraev

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20207 citations
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  22. p-Adic stochastics and Dirac quantization with negative probabilities

    Andrew Khrennikov

    Article19955 citations
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  23. Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field

    Obid Sh. Karshiboev

    ArticleQuantum chaos and dynamical systemsTheoretical and Mathematical Physics20225 citations
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  24. Phase transition for the SOS model under inhomogeneous external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

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  25. On the Extension of the von Mises Frequency Approach and Kolmogorov Axiomatic Approach to the <i>p</i>-Adic Probability Theory

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