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Works cited by this work

76 works

Work: On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field*

  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. Countable State Space Markov Random Fields and Markov Chains on Trees

    Stan Zachary

    Article198357 citations
    ABI

  5. 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

  6. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

  7. Untitled

    Other40 citations
    ABI

  8. 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

  9. GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

    U. A. Rozikov, Yuri Suhov

    ArticleTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics200634 citations
    ABI

  10. Markov Random Fields on an Infinite Tree

    Frank Spitzer

    Article197533 citations
    ABI

  11. Exactly Solved Models in Statistical Mechanics

    R. J. Baxter

    Chapter198530 citations
    ABI

  12. The Potts model

    F. Y. Wu

    Article198220 citations
    ABI

  13. Probability

    Albert N. Shiryaev

    Book199619 citations
    ABI

  14. Rigidity of the Critical Phases on a Cayley Tree

    Pavel Bleher, J. Ruiz, Roberto H. Schonmann +2

    Article200117 citations
    ABI

  15. Gibbs measures for the SOS model with four states on a Cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200617 citations
    ABI

  16. Some generalized order-disorder transformations

    R. B. Potts

    Article195215 citations
    ABI

  17. On the Phase Diagram of the Random Field Ising Model on the Bethe Lattice

    Pavel Bleher, J. Ruiz, Valentin A. Zagrebnov

    Article199812 citations
    ABI

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

    U. A. Rozikov

    Article201712 citations
    ABI

  19. On disordered phase in the ferromagnetic Potts model on the Bethe lattice

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200011 citations
    ABI

  20. First-order phase transitions in large entropy lattice models

    Roman Kotecký, Senya Shlosman

    Article198211 citations
    ABI

  21. Survey: Information flow on trees

    Elchanan Mossel

    Chapter200410 citations
    ABI

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

    Fulvio Peruggi, Francesco di Liberto, G. Monroy

    Article19839 citations
    ABI

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

    Fulvio Peruggi, Francesco di Liberto, G. Monroy

    Article19878 citations
    ABI

  24. Cayley Trees and Bethe Lattices: A concise analysis for mathematicians and physicists

    Massimo Ostilli

    Article20128 citations
    ABI

  25. Boundary Conditions for Translation-Invariant Gibbs Measures of the Potts Model on Cayley Trees

    Daniel Gandolfo, M. M. Rahmatullaev, U. A. Rozikov

    Article20177 citations
    ABI