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Works cited by this work

22 works

Work: Extremality of Gibbs Measures for the $HC$-Blume–Capel Model on the Cayley Tree

  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

    Book198881 citations
    ABI

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

    A. Mazel, Yu. M. Suhov

    Article199143 citations
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  6. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Article199936 citations
    ABI

  7. 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

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

    Jean Martin, U. A. Rozikov, Yuri Suhov

    Article200534 citations
    ABI

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

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

    Article200629 citations
    ABI

  10. Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
    ABI

  11. 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

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

    U. A. Rozikov, Р. М. Хакимов

    Article201520 citations
    ABI

  13. 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

  14. Uniqueness of weakly periodic Gibbs measure for HC-models

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsMathematical Notes201312 citations
    ABI

  15. Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition

    Emilio N. M. Cirillo, Enzo Olivieri

    Article199611 citations
    ABI

  16. Translation-Invariant Gibbs Measures for the Blum-Kapel Model on a Cayley Tree

    Nosir Khatamov, Rustam Khakimov

    Article201610 citations
    ABI

  17. Holliday junctions in the Blume–Capel model of DNA

    N. M. Khatamov

    ArticleStochastic processes and statistical mechanicsTheoretical and Mathematical Physics20219 citations
    ABI

  18. Monte Carlo study of the triangular Blume-Capel model under bond randomness

    Panagiotis E. Theodorakis, Nikolaos G. Fytas

    Article20129 citations
    ABI

  19. Weakly Periodic Gibbs Measures for HC-Models on Cayley Trees

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsSiberian Mathematical Journal20188 citations
    ABI

  20. Untitled

    Other8 citations
    ABI

  21. Крайность трансляционно-инвариантных мер Гиббса для модели Блюма–Капеля в случае “жезл” на дереве Кэли

    N. M. Khatamov

    ArticleStochastic processes and statistical mechanicsUkrains’kyi Matematychnyi Zhurnal20204 citations
    ABI

  22. Surface Tension and the Ornstein–Zernike Behaviour for the 2D Blume–Capel Model

    Ostap Hryniv, Roman Kotecký

    Article20023 citations
    ABI