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Works cited by this work

33 works

Work: Periodic Points of a $p$-Adic Operator and their $p$-Adic Gibbs Measures

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

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

    Neal Koblitz

    Book197743 citations
    ABI

  3. Partition structures of the cayley tree and applications for describing periodic gibbs distributions

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199742 citations
    ABI

  4. p-Adic Analysis and Mathematical Physics

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

    Book199437 citations
    ABI

  5. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Article199936 citations
    ABI

  6. On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field*

    Leonid V. Bogachev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201929 citations
    ABI

  7. Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous ising model

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199925 citations
    ABI

  8. Applied Algebraic Dynamics

    Vladimir Anashin, Andrei Khrennikov

    Book200924 citations
    ABI

  9. Untitled

    Other22 citations
    ABI

  10. -adic monomial equations and their perturbations

    F. M. Mukhamedov, O. N. Khakimov

    Article201921 citations
    ABI

  11. 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

  12. On<i>p</i>-adic Gibbs measures of the countable state Potts model on the Cayley tree

    A Yu Khrennikov, F M Mukhamedov, J F F Mendes

    Article200715 citations
    ABI

  13. Untitled

    Other15 citations
    ABI

  14. On the strong phase transition for the one-dimensional countable state<i>p</i>-adic Potts model

    Farrukh Mukhamedov

    Article201414 citations
    ABI

  15. On the existence of generalized gibbs measures for the one-dimensional p-adic countable state Potts model

    Farrukh Mukhamedov

    Article200913 citations
    ABI

  16. On cubic equations over p-adic fields

    Farrukh Mukhamedov, B. A. Omirov, Mansoor Saburov

    Articleadvanced mathematical theoriesInternational Journal of Number Theory201413 citations
    ABI

  17. Elementary Number Theory and Its Applications.

    Samuel S. Wagstaff, Kenneth Rosen

    Article198712 citations
    ABI

  18. On $p$-adic Gibbs measures of countable state Potts model on the Cayley tree

    Khrennikov, A. Yu., Mukhamedov, F. M., Mendes, J. F. F.

    Article200711 citations
    ABI

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

    Farrukh Mukhamedov, Mansoor Saburov, Otabek Khakimov

    Article20159 citations
    ABI

  20. On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree

    Daniel Gandolfo, U. A. Rozikov, Ruiz, J.

    Preprint20118 citations
    ABI

  21. p-adic boundary laws and Markov chains on trees

    Arnaud Le Ny, Lingmin Liao, U. A. Rozikov

    Articleadvanced mathematical theoriesLetters in Mathematical Physics20208 citations
    ABI

  22. A HC model with countable set of spin values: Uncountable set of Gibbs measures

    U. A. Rozikov, F. H. Haydarov

    Review articleTheoretical and Computational PhysicsReviews in Mathematical Physics20228 citations
    ABI

  23. Untitled

    Other7 citations
    ABI

  24. p -adic dynamical systems of (2,2)-rational functions with unique fixed point

    U. A. Rozikov, I. A. Sattarov

    Article20175 citations
    ABI

  25. p-Adic Dynamical Systems of the Function ax/x2 + a

    U. A. Rozikov, I. A. Sattarov, Sheung Chi Phillip Yam

    Article20195 citations
    ABI