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Works cited by this work

19 works

Work: Gibbs measures for fertile hard-core models on the Cayley tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
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  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
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  3. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book201185 citations
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  4. 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
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  5. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
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  6. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
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  7. 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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  8. 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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  9. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
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  10. Graph Homomorphisms and Phase Transitions

    Graham Brightwell, Peter Winkler

    Article199936 citations
    ABI

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

    Jean Martin, U. A. Rozikov, Yuri Suhov

    Article200534 citations
    ABI

  12. Exactly Solved Models in Statistical Mechanics

    R. J. Baxter

    Chapter198530 citations
    ABI

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

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
    ABI

  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
    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. Uniqueness of weakly periodic Gibbs measure for HC-models

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsMathematical Notes201312 citations
    ABI

  17. Loss Networks

    F. P. Kelly

    Article19919 citations
    ABI

  18. The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model

    U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20128 citations
    ABI

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

    Rustam Khakimov

    Article20155 citations
    ABI