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Works cited by this work

35 works

Work: Weakly periodic gibbs measures for the HC model with a countable set of spin values

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. 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

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

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200660 citations
    ABI

  4. Quadratic transformations: a model for population growth. I

    Harry Kesten

    Article197058 citations
    ABI

  5. Random surfaces with two-sided constraints: An application of the theory of dominant ground states

    A. Mazel, Yu. M. Suhov

    Article199143 citations
    ABI

  6. Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200938 citations
    ABI

  7. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Article199936 citations
    ABI

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

    Leonid V. Bogachev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201929 citations
    ABI

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

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

    Article200629 citations
    ABI

  10. Gradient Gibbs measures for the SOS model with countable values on a Cayley tree

    Florian Henning, Christof Külske, Arnaud Le Ny +1

    ArticleTheoretical and Computational PhysicsElectronic Journal of Probability201921 citations
    ABI

  11. Untitled

    Other21 citations
    ABI

  12. Untitled

    Other18 citations
    ABI

  13. Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics202212 citations
    ABI

  14. Stochastic Models of Computer Communication Systems

    F. P. Kelly

    Article198511 citations
    ABI

  15. 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

  16. Untitled

    Other11 citations
    ABI

  17. Untitled

    Graham Brightwell, Olle Häggström, Peter Winkler

    Article199910 citations
    ABI

  18. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model

    Р. М. Хакимов, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics202010 citations
    ABI

  19. Extremality of Disordered Phase of λ-Model on Cayley Trees

    Farrukh Mukhamedov

    Article202210 citations
    ABI

  20. Limiting Gibbs measures of Potts model with countable set of spin values

    Nasir Ganikhodjaev

    Article20079 citations
    ABI

  21. Gibbs measures for the three-state SOS model with external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleTheoretical and Computational PhysicsPositivity20228 citations
    ABI

  22. The Multistate Hard Core Model on a Regular Tree

    David Galvin, Fabio Martinelli, Kavita Ramanan +1

    Article20118 citations
    ABI

  23. A HC model with countable set of spin values: Uncountable set of Gibbs measures

    U. A. Rozikov, F. H. Haydarov

    Review articleTheoretical and Computational PhysicsReviews in Mathematical Physics20228 citations
    ABI

  24. Models of gradient type with sub-quadratic actions

    Zichun Ye

    Article20198 citations
    ABI

  25. Untitled

    Other8 citations
    ABI