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Works cited by this work

26 works

Work: Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. 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

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

    Насир Набиевич Ганиходжаев

    Article199041 citations
    ABI

  4. Untitled

    Other40 citations
    ABI

  5. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Article199936 citations
    ABI

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

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

    Article200629 citations
    ABI

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

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
    ABI

  8. Polynomials

    Victor V. Prasolov

    Book200415 citations
    ABI

  9. Information flow on trees

    Elchanan Mossel, Yuval Peres

    Article200311 citations
    ABI

  10. Reconstruction on Trees: Beating the Second Eigenvalue

    Elchanan Mossel

    Article20018 citations
    ABI

  11. Reconstruction for the Potts model

    Allan Sly

    Article20118 citations
    ABI

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

    Christof Külske, Marco Formentin

    Article20098 citations
    ABI

  13. Untitled

    Other6 citations
    ABI

  14. The random-cluster model on a homogeneous tree

    Olle Häggström

    Article19965 citations
    ABI

  15. Gibbs Properties of the Fuzzy Potts Model on Trees and in Mean Field

    Olle Häggström, Christopher Külske

    Article20043 citations
    ABI

  16. The Kesten-Stigum Reconstruction Bound Is Tight for Roughly Symmetric Binary Channels

    Christian Borgs, Jennifer Chayes, Elchanan Mossel +1

    Article20062 citations
    ABI

  17. Reconstruction on Trees and Spin Glass Transition

    Marc Mézard, Andrea Montanari

    Article20062 citations
    ABI

  18. Gibbs–non-Gibbs properties for evolving Ising models on trees

    Aernout C. D. van Enter, Victor Ermolaev, Giulio Iacobelli +1

    Article20122 citations
    ABI

  19. Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory

    Aernout C. D. van Enter, Roberto Fernández, Alan D. Sokal

    Article19932 citations
    ABI

  20. Reconstruction on Trees and Spin Glass Transition

    Marc Mézard, Andrea Montanari

    Article20062 citations
    ABI

  21. Untitled

    Other1 citations
    ABI

  22. Untitled

    Other1 citations
    ABI

  23. Untitled

    Other1 citations
    ABI

  24. Untitled

    Other1 citations
    ABI

  25. Untitled

    Other1 citations
    ABI