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Works cited by this work

33 works

Work: Extremality of translation-invariant Gibbs measures for the $\lambda$-model on the binary 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

    Book198881 citations
    ABI

  4. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 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. 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

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

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

    Article200629 citations
    ABI

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

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
    ABI

  9. Potts model with competing interactions on the Cayley tree: The contour method

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200722 citations
    ABI

  10. Extremality of Translation-Invariant Phases for a Three-State SOS-Model on the Binary Tree

    Christof Kuelske, U. A. Rozikov

    Article201522 citations
    ABI

  11. Description of limit Gibbs measures for λ-models on bethe lattices

    U. A. Rozikov

    Article199821 citations
    ABI

  12. The Potts model

    F. Y. Wu

    Article198220 citations
    ABI

  13. 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

  14. 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

  15. Information flow on trees

    Elchanan Mossel, Yuval Peres

    Article200311 citations
    ABI

  16. 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

  17. Untitled

    Other11 citations
    ABI

  18. Untitled

    Other11 citations
    ABI

  19. Survey: Information flow on trees

    Elchanan Mossel

    Chapter200410 citations
    ABI

  20. Hard-core and soft-core Widom–Rowlinson models on Cayley trees

    S Kissel, C Külske, U A Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201910 citations
    ABI

  21. Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice

    Nasir Ganikhodjaev, Farrukh Mukhamedov, Chin Hee Pah

    ArticleTheoretical and Computational PhysicsPhysics Letters A20089 citations
    ABI

  22. Extremality of translation-invariant Gibbs measures for the Potts–SOS model on the Cayley tree

    M M Rahmatullaev, M A Rasulova

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20219 citations
    ABI

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

    Fulvio Peruggi, Francesco di Liberto, G. Monroy

    Article19839 citations
    ABI

  24. Untitled

    Other9 citations
    ABI

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

    Fulvio Peruggi, Francesco di Liberto, G. Monroy

    Article19878 citations
    ABI