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Works cited by this work

152 works

Work: Gibbs measures of Potts model on Cayley trees: A survey and applications

  1. Probability

    Albert N. Shiryaev

    Book199619 citations
    ABI

  2. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  3. Some generalized order-disorder transformations

    R. B. Potts

    Article195215 citations
    ABI

  4. ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE

    Farrukh Mukhamedov, U. A. Rozikov

    Articleadvanced mathematical theoriesInfinite Dimensional Analysis Quantum Probability and Related Topics200514 citations
    ABI

  5. On Free Energies of the Ising Model on the Cayley Tree

    D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201313 citations
    ABI

  6. ON FREE ENERGIES OF THE ISING MODEL ON THE CAYLEY TREE

    Daniel Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    ArticleTheoretical and Computational Physics201613 citations
    ABI

  7. Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree

    R. M. Khakimov, F. Kh. Khaydarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201613 citations
    ABI

  8. Gibbs states on countable sets

    Christopher J. Preston

    Chapter197412 citations
    ABI

  9. Tree-hierarchy of DNA and distribution of Holliday junctions

    U. A. Rozikov

    Article201712 citations
    ABI

  10. On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov, J. F. F. Mendes

    Article200712 citations
    ABI

  11. On periodic Gibbs measures of p-adic Potts model on a Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    Article201612 citations
    ABI

  12. Untitled

    Other12 citations
    ABI

  13. Information flow on trees

    Elchanan Mossel, Yuval Peres

    Article200311 citations
    ABI

  14. Description of periodic p-harmonic functions on Cayley tree

    U. A. Rozikov, Farruh T. Ishankulov

    ArticleAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations and Applications NoDEA200911 citations
    ABI

  15. Translation Invariance of the Periodic Gibbs Measures for the Potts Model on the Cayley Tree

    R. M. Khakimov, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201911 citations
    ABI

  16. Untitled

    Other11 citations
    ABI

  17. Remarks on the Limiting GIbbs States on a ($d+1$)-Tree

    Yasunari Higuchi

    Article197710 citations
    ABI

  18. Survey: Information flow on trees

    Elchanan Mossel

    Chapter200410 citations
    ABI

  19. The Potts model on Zd with countable set of spin values

    Nasir Ganikhodjaev

    ArticleTheoretical and Computational PhysicsJournal of Mathematical Physics200410 citations
    ABI

  20. Holliday Junctions for the Potts Model of DNA

    U. A. Rozikov

    ChapterSpectroscopy and Quantum Chemical StudiesSpringer proceedings in mathematics & statistics201810 citations
    ABI

  21. The Potts model on Bethe lattices. I. General results

    Fulvio Peruggi, Francesco di Liberto, G. Monroy

    Article19839 citations
    ABI

  22. A description of harmonic functions via properties of the group representation of the Cayley tree

    É. P. Normatov, U. A. Rozikov

    ArticleMathematical Dynamics and FractalsMathematical Notes20069 citations
    ABI

  23. On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree

    Institut of Mathematics 29 Durmon Yuli Str., 100125, Uzbekistan, M.M. Rahmatullaev

    Article20169 citations
    ABI

  24. Free energies of the Potts model on a Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20179 citations
    ABI

  25. Phase diagrams of the q-state potts model on Bethe lattices

    Fulvio Peruggi, Francesco di Liberto, G. Monroy

    Article19878 citations
    ABI