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Works cited by this work

30 works

Work: Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

  1. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
    ABI

  2. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book201185 citations
    ABI

  3. 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

  4. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

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

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

  6. 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

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

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200660 citations
    ABI

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

    Stan Zachary

    Article198357 citations
    ABI

  9. A Hard-Core Model on a Cayley Tree: An Example of a Loss Network

    Yuri Suhov, U. A. Rozikov

    ArticleGraph theory and applicationsQueueing Systems200449 citations
    ABI

  10. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

  11. Partition structures of the cayley tree and applications for describing periodic gibbs distributions

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199742 citations
    ABI

  12. Markov Random Fields on an Infinite Tree

    Frank Spitzer

    Article197533 citations
    ABI

  13. Exactly Solved Models in Statistical Mechanics

    R. J. Baxter

    Chapter198530 citations
    ABI

  14. On Models with Uncountable Set of Spin Values on a Cayley Tree: Integral Equations

    U. A. Rozikov, Yusup Kh. Eshkobilov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201027 citations
    ABI

  15. Non-uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    Y. K. Eshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201224 citations
    ABI

  16. 2 NON-UNIQUENESS OF GIBBS MEASURE FOR MODELS WITH UNCOUNTABLE SET OF SPIN VALUES ON A CAYLEY TREE

    Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational Physics201620 citations
    ABI

  17. On Ising Model with Four Competing Interactions on Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry200919 citations
    ABI

  18. Gibbs states on countable sets

    Christopher J. Preston

    Chapter197412 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. Untitled

    Other7 citations
    ABI

  23. Untitled

    Other5 citations
    ABI

  24. Spherical model on the Cayley tree

    W M Zimmer, G. Obermair

    Article19785 citations
    ABI

  25. Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20014 citations
    ABI