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Works cited by this work

18 works

Work: An improvement of extremality regions for Gibbs measures of the Potts model on a Cayley tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Description of periodic extreme gibbs measures of some lattice models on the Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199783 citations
    ABI

  3. The Potts Model with Countable Set of Spin Values on a Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200660 citations
    ABI

  4. Description of the Translation-Invariant Splitting Gibbs Measures for the Potts Model on a Cayley Tree

    Christof Külske, U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201445 citations
    ABI

  5. Pure phases of the ferromagnetic Potts model with three states on a second-order Bethe lattice

    Насир Набиевич Ганиходжаев

    Article199041 citations
    ABI

  6. Untitled

    Other40 citations
    ABI

  7. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Article199936 citations
    ABI

  8. Fast mixing for independent sets, colorings, and other models on trees

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

    Article200629 citations
    ABI

  9. Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
    ABI

  10. Periodic Gibbs measures for the Potts model on the Cayley tree

    U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201325 citations
    ABI

  11. On the three state Potts model with competing interactions on the Bethe lattice

    Nasir Ganikhodjaev, Farrukh Mukhamedov, José F F Mendes

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment200618 citations
    ABI

  12. Reconstruction for the Potts model

    Allan Sly

    Article20118 citations
    ABI

  13. A symmetric entropy bound on the non-reconstruction regime of Markov chains on Galton-Watson trees

    Christof Külske, Marco Formentin

    Article20098 citations
    ABI

  14. Untitled

    Other8 citations
    ABI

  15. The random-cluster model on a homogeneous tree

    Olle Häggström

    Article19965 citations
    ABI

  16. The disordered phase of the inhomogeneous potts model is extremal on the Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20004 citations
    ABI

  17. Localization of translation-invariant Gibbs measures for the Potts and “solid-on-solid” models on a Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20144 citations
    ABI

  18. Von Neumann algebra corresponding to one phase of the inhomogeneous Potts model on a Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleAdvanced Operator Algebra ResearchTheoretical and Mathematical Physics20013 citations
    ABI