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Works cited by this work

25 works

Work: Periodic Gibbs Measures for Three-State Hard-Core Models in the Case Wand

  1. Gibbs Measures on Cayley Trees

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    Book2013174 citations
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  2. Gibbs States on Countable Sets

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  3. Description of periodic extreme gibbs measures of some lattice models on the Cayley tree

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  4. Gibbs Measures and Phase Transitions

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    Book198881 citations
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  5. A Hard-Core Model on a Cayley Tree: An Example of a Loss Network

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

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  7. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Article199936 citations
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  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
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  9. A Three State Hard-Core Model on a Cayley Tree

    Jean Martin, U. A. Rozikov, Yuri Suhov

    Article200534 citations
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  10. Fast mixing for independent sets, colorings, and other models on trees

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

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

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
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  12. 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
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  13. Extremality of Translation-Invariant Phases for a Three-State SOS-Model on the Binary Tree

    Christof Kuelske, U. A. Rozikov

    Article201522 citations
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  14. 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
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  15. Gibbs measures for the fertile three-state hard-core models on a Cayley tree

    U. A. Rozikov, Р. М. Хакимов

    Article201520 citations
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  16. Statistical Mechanics of Lattice Systems

    Sacha Friedli, Yvan Velenik

    Book201715 citations
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  17. Quadratic transformations: a model for population growth. I

    Harry Kesten

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  18. Untitled

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  19. 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
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  20. On Phase Transition in the Hard-Core Model on ${\mathbb Z}^d$

    David Galvin, Jeff Kahn

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  21. Loss Networks

    F. P. Kelly

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

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  23. Markov random field models of multicasting in tree networks

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  24. Examples of DLR States Which are Not Weak Limits of Finite Volume Gibbs Measures with Deterministic Boundary Conditions

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  25. Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions

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