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Works cited by this work

26 works

Work: Gibbs measures for fertile models with hard-core interactions and four states

  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. 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. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

  5. 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

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

    A. Mazel, Yu. M. Suhov

    Article199143 citations
    ABI

  7. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

  8. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Article199936 citations
    ABI

  9. A Three State Hard-Core Model on a Cayley Tree

    Jean Martin, U. A. Rozikov, Yuri Suhov

    Article200534 citations
    ABI

  10. 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

  11. Periodic Gibbs measures for the Potts model on the Cayley tree

    U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201325 citations
    ABI

  12. Untitled

    Other22 citations
    ABI

  13. Fertile HC models with three states on a cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleNonlinear Dynamics and Pattern FormationTheoretical and Mathematical Physics200822 citations
    ABI

  14. Gibbs measures for the fertile three-state hard-core models on a Cayley tree

    U. A. Rozikov, Р. М. Хакимов

    Article201520 citations
    ABI

  15. Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201516 citations
    ABI

  16. Untitled

    Other11 citations
    ABI

  17. 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

  18. On Phase Transition in the Hard-Core Model on ${\mathbb Z}^d$

    David Galvin, Jeff Kahn

    Article20049 citations
    ABI

  19. Loss Networks

    F. P. Kelly

    Article19919 citations
    ABI

  20. 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

  21. Extremality of the unique translation-invariant Gibbs measure for hard-core models on the Cayley tree of order $$k=3$$

    Р. М. Хакимов, K. O. Umirzakova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20216 citations
    ABI

  22. INTERNATIONAL SERIES IN NATURAL PHILOSOPHY

    Chapter19655 citations
    ABI

  23. Hard constraints and the bethe lattice: adventures at the interface of combinatorics and statistical physics

    Graham Brightwell, Peter Winkler

    Preprint20035 citations
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  24. 6. The Uniqueness of the Translation-invariant Gibbs Measure for Four State HC-models on a Cayley Tree

    Rustam Khakimov

    Article20155 citations
    ABI

  25. Gibbs measures for fertile hard-core models on the Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20163 citations
    ABI