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Works cited by this work

34 works

Work: Translation-Invariant Gibbs Measures for the Hard Core Model with a Countable Set of Spin Values

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

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200660 citations
    ABI

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

    Stan Zachary

    Article198357 citations
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  6. 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
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  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. 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

  10. Untitled

    Other21 citations
    ABI

  11. Gibbs Measures in Biology and Physics

    U. A. Rozikov

    Book202119 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. New Normal Subgroups for the Group Representation of the Cayley Tree

    F. H. Haydarov

    ArticleFinite Group Theory ResearchLobachevskii Journal of Mathematics201811 citations
    ABI

  15. Motion by Mean Curvature from the Ginzburg-Landau $\nabla\phi$ Interface Model

    Tadahisa Funaki, Herbert Spohn

    Article199710 citations
    ABI

  16. 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

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

    Nasir Ganikhodjaev

    Article20079 citations
    ABI

  18. 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

  19. 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

  20. Models of gradient type with sub-quadratic actions

    Zichun Ye

    Article20198 citations
    ABI

  21. Untitled

    Other8 citations
    ABI

  22. Gibbs Periodic Measures for a Two-State HC-Model on a Cayley Tree

    U. A. Rozikov, R. M. Khakimov, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsJournal of Mathematical Sciences20247 citations
    ABI

  23. The Boundary Condition Problems for the Three-State SOS Model on the Binary Tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20237 citations
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  24. Localization and delocalization of random interfaces

    Yvan Velenik

    Article20067 citations
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  25. Nonprobability Gibbs measures for the HC model with a countable set of spin values for a “wand”-type graph on a Cayley tree

    Р. М. Хакимов, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20226 citations
    ABI