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Works cited by this work

20 works

Work: Крайность единственной трансляционно-инвариантной меры Гиббса для моделей "hard core" на дереве Кэли порядка $k=3$

  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. 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

  4. Description of the Translation-Invariant Splitting Gibbs Measures for the Potts Model on a Cayley Tree

    Christof Külske, U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201445 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. Untitled

    Other40 citations
    ABI

  7. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Article199936 citations
    ABI

  8. 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

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

    Jean Martin, U. A. Rozikov, Yuri Suhov

    Article200534 citations
    ABI

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

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

    Article200629 citations
    ABI

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

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
    ABI

  12. Extremality of Translation-Invariant Phases for a Three-State SOS-Model on the Binary Tree

    Christof Kuelske, U. A. Rozikov

    Article201522 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. On the three state Potts model with competing interactions on the Bethe lattice

    Nasir Ganikhodjaev, Farrukh Mukhamedov, José F F Mendes

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment200618 citations
    ABI

  16. 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

  17. Untitled

    Other11 citations
    ABI

  18. 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

  19. Трансляционно-инвариантные меры Гиббса для плодородных моделей "hard core" с тремя состояниями на дереве Кэли

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20158 citations
    ABI

  20. Плодородные HC-модели с тремя состояниями на дереве Кэли

    U. A. Rozikov, Шокиржон Азизович Шоюсупов, Shokirzhon Azizovich Shoyusupov

    Article20088 citations
    ABI