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Works cited by this work

22 works

Work: Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
    ABI

  3. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book201185 citations
    ABI

  4. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

  5. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

  6. On Pure Phases of the Ising Model on the Bethe Lattices

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

  7. On the purity of the limiting gibbs state for the Ising model on the Bethe lattice

    Pavel Bleher, J. Ruiz, Valentin A. Zagrebnov

    Article199561 citations
    ABI

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

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200660 citations
    ABI

  9. 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

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

    Насир Набиевич Ганиходжаев

    Article199041 citations
    ABI

  11. Untitled

    Other40 citations
    ABI

  12. Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree

    Christof Külske, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsRandom Structures and Algorithms201635 citations
    ABI

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

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

    Article200629 citations
    ABI

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

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
    ABI

  15. 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

  16. 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

  17. Untitled

    Other12 citations
    ABI

  18. Survey: Information flow on trees

    Elchanan Mossel

    Chapter200410 citations
    ABI

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

    Christof Külske, Marco Formentin

    Article20098 citations
    ABI

  20. Untitled

    Other6 citations
    ABI

  21. New Periodic Gibbs Measures for q-state Potts Model on a Cayley Tree

    Р. М. Хакимов, Рустамжон Махмудович Хакимов

    Article20146 citations
    ABI

  22. Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree

    Christof Kuelske, U. A. Rozikov

    Preprint20146 citations
    ABI