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Works cited by this work

32 works

Work: On Weakly Periodic Gibbs Measures for the Potts Model with External Field on the Cayley Tree

  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
    ABI

  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
    ABI

  5. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

  6. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

  7. The Potts Model with Countable Set of Spin Values on a Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200660 citations
    ABI

  8. 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

  9. Pure phases of the ferromagnetic Potts model with three states on a second-order Bethe lattice

    Насир Набиевич Ганиходжаев

    Article199041 citations
    ABI

  10. Quadratic transformations: a model for population growth. II

    Harry Kesten

    Article197040 citations
    ABI

  11. Untitled

    Other40 citations
    ABI

  12. Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200938 citations
    ABI

  13. Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200834 citations
    ABI

  14. Описание периодических крайних гиббсовских мер некоторых решеточных моделей на дереве Кэли

    Насир Набиевич Ганиходжаев, Насир Набиевич Ганиходжаев, U. A. Rozikov

    Article199726 citations
    ABI

  15. Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree

    M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201321 citations
    ABI

  16. The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201420 citations
    ABI

  17. 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

  18. New weakly periodic Gibbs measures of Ising model on Cayley tree

    M. M. Rakhmatullaev

    ArticleOpinion Dynamics and Social InfluenceRussian Mathematics201512 citations
    ABI

  19. On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov, J. F. F. Mendes

    Article200712 citations
    ABI

  20. Слабо периодическиe основные состояния и меры Гиббса для модели Изинга с конкурирующими взаимодействиями на дереве Кэли

    U. A. Rozikov, M. M. Rakhmatullaev, M. M. Rakhmatullaev

    Article200912 citations
    ABI

  21. Quadratic transformations: a model for population growth. I

    Harry Kesten

    Article197011 citations
    ABI

  22. Описание слабо периодических мер Гиббса модели Изинга на дереве Кэли

    U. A. Rozikov, M. M. Rakhmatullaev, M. M. Rakhmatullaev

    Article200810 citations
    ABI

  23. Cлабо периодические меры Гиббса и основные состояния для модели Поттса с конкурирующими взаимодействиями на дереве Кэли

    M. M. Rakhmatullaev, M. M. Rakhmatullaev

    Article201310 citations
    ABI

  24. Untitled

    Other8 citations
    ABI

  25. Group representation of the Cayley forest and some of its applications

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    ArticleStochastic processes and statistical mechanicsIzvestiya Mathematics20036 citations
    ABI