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Works cited by this work

26 works

Work: Uniqueness and Nonuniqueness Conditions for Weakly Periodic Gibbs Measures for the Hard-core Model with a Countable Set of Spin Values

  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

    Book201185 citations
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  4. Random surfaces with two-sided constraints: An application of the theory of dominant ground states

    A. Mazel, Yu. M. Suhov

    Article199143 citations
    ABI

  5. 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

  6. Gradient Gibbs measures for the SOS model with countable values on a Cayley tree

    Florian Henning, Christof Külske, Arnaud Le Ny +1

    ArticleTheoretical and Computational PhysicsElectronic Journal of Probability201921 citations
    ABI

  7. Untitled

    Other18 citations
    ABI

  8. Extremality of Disordered Phase of λ-Model on Cayley Trees

    Farrukh Mukhamedov

    Article202210 citations
    ABI

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

    David Galvin, Jeff Kahn

    Article20049 citations
    ABI

  10. Loss Networks

    F. P. Kelly

    Article19919 citations
    ABI

  11. Gibbs measures for the three-state SOS model with external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleTheoretical and Computational PhysicsPositivity20228 citations
    ABI

  12. The Multistate Hard Core Model on a Regular Tree

    David Galvin, Fabio Martinelli, Kavita Ramanan +1

    Article20118 citations
    ABI

  13. A HC model with countable set of spin values: Uncountable set of Gibbs measures

    U. A. Rozikov, F. H. Haydarov

    Review articleTheoretical and Computational PhysicsReviews in Mathematical Physics20228 citations
    ABI

  14. The Boundary Condition Problems for the Three-State SOS Model on the Binary Tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20237 citations
    ABI

  15. New class of Gibbs measures for two-state hard-core model on a Cayley tree

    R. M. Khakimov, M. T. Makhammadaliev, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics20235 citations
    ABI

  16. Absolute continuity of non-homogeneous Gibbs measures of the Ising model on the Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    ArticleTheoretical and Computational PhysicsNonlinearity20235 citations
    ABI

  17. Periodic Gibbs Measures and Their Extremes for the HC–Blume–Capel Model in the Case of a ‘‘Wand’’ on the Cayley Tree

    N. M. Khatamov

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20224 citations
    ABI

  18. Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree

    Р. М. Хакимов, M. T. Makhammadaliev, U. A. Rozikov

    Articleadvanced mathematical theoriesMathematical Physics Analysis and Geometry20232 citations
    ABI

  19. Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree

    Farrukh Mukhamedov, M. M. Rahmatullaev, Dilshodbek O. EgAMOV

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20232 citations
    ABI

  20. Alternative Gibbs measure for fertile three-state Hard-Core models on a Cayley tree

    R. A. Khakimov, M. T. Makhammadaliev, K. O. Umirzakova

    ArticleTheoretical and Computational PhysicsPhase Transitions20242 citations
    ABI

  21. Limit laws for the diameter of a random point set

    Martin J. B. Appel, Christopher A. Najim, Ralph P. Russo

    Article20022 citations
    ABI

  22. Gibbs measures for fertile models with hard-core interactions and four states

    R. M. Khakimov, B. Z. Tojiboev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20241 citations
    ABI

  23. Weakly periodic gibbs measures for the HC model with a countable set of spin values

    M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20241 citations
    ABI

  24. Translation-Invariant Gibbs Measures for the Hard Core Model with a Countable Set of Spin Values

    Р. М. Хакимов, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20241 citations
    ABI

  25. Gibbs measures for a Hard-Core model with a countable set of states

    U. A. Rozikov, R. M. Khakimov, M. T. Makhammadaliev

    Review articleMarkov Chains and Monte Carlo MethodsReviews in Mathematical Physics20241 citations
    ABI