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Works cited by this work

21 works

Work: Fixed points of an infinite-dimensional operator related to Gibbs measures

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

  3. Countable State Space Markov Random Fields and Markov Chains on Trees

    Stan Zachary

    Article198357 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. Untitled

    Other40 citations
    ABI

  6. 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

  7. Untitled

    Other22 citations
    ABI

  8. 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

  9. Untitled

    Other21 citations
    ABI

  10. Gibbs Measures in Biology and Physics

    U. A. Rozikov

    Book202119 citations
    ABI

  11. Untitled

    Other18 citations
    ABI

  12. Motion by Mean Curvature from the Ginzburg-Landau $\nabla\phi$ Interface Model

    Tadahisa Funaki, Herbert Spohn

    Article199710 citations
    ABI

  13. Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields

    Rodrigo Bissacot, Eric O. Endo, Aernout C. D. van Enter

    Article201710 citations
    ABI

  14. Existence of gradient Gibbs measures on regular trees which are not translation invariant

    Florian Henning, Christof Külske

    Article20239 citations
    ABI

  15. Phase coexistence of gradient Gibbs states

    Marek Biskup, Roman Kotecký

    Article20078 citations
    ABI

  16. Gradient Gibbs measures and fuzzy transformations on trees

    Christof Kuelske, Philipp Schriever

    Preprint20168 citations
    ABI

  17. 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

  18. Localization and delocalization of random interfaces

    Yvan Velenik

    Article20067 citations
    ABI

  19. Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws

    F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20225 citations
    ABI

  20. Mirror Symmetry of Height-Periodic Gradient Gibbs Measures of an SOS Model on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20224 citations
    ABI

  21. Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov, N. M. Khatamov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20224 citations
    ABI