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6 works

Work: Group representation of the Cayley forest and some of its applications

  1. Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics202212 citations
    ABI

  2. A description of harmonic functions via properties of the group representation of the Cayley tree

    É. P. Normatov, U. A. Rozikov

    ArticleMathematical Dynamics and FractalsMathematical Notes20069 citations
    ABI

  3. On Weakly Periodic Gibbs Measures for the Potts Model with External Field on the Cayley Tree

    M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20168 citations
    ABI

  4. 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

  5. Периодические меры Гиббса для модели Поттса с трансляционно-инвариантным и периодическим внешними полями на дереве Кэли

    U. A. Rozikov, M. M. Rahmatullaev, Р. М. Хакимов

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20212 citations
    ABI

  6. 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