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Works cited by this work

21 works

Work: Ground states of Ising-Potts model on Cayley tree

  1. 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

  2. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

  3. 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

  4. Potts model with competing interactions on the Cayley tree: The contour method

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200722 citations
    ABI

  5. A Constructive Description of Ground States and Gibbs Measures for Ising Model with Two-Step Interactions on Cayley Tree

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200622 citations
    ABI

  6. 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

  7. Introduction to Mathematical Statistical Physics

    R. A. Minlos

    Book199914 citations
    ABI

  8. Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree

    M. M. Rakhmatullaev, M. A. Rasulova

    ArticleQuantum chaos and dynamical systemsSiberian Advances in Mathematics201612 citations
    ABI

  9. 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

  10. Description of Weak Periodic Ground States of Ising Model with Competing Interactions on Cayley Tree

    M. M. Rahmatullaev

    Preprint20086 citations
    ABI

  11. Ground States and Phase Transition of the λ Model on the Cayley Tree

    Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil

    Article20186 citations
    ABI

  12. Weakly Periodic Ground States for the λ-Model

    Farrukh Mukhamedov, M. M. Rakhmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20205 citations
    ABI

  13. GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  14. Fundamentals of the Theory of Groups

    M. I. Kargapolov, Ju. I. Merzljakov

    Book19795 citations
    ABI

  15. Periodic and weakly periodic ground states corresponding to subgroups of index three for the ising model on cayley tree

    M. M. Rahmatullaev, D.O. Egamov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20212 citations
    ABI

  16. Phase transitions in a two-dimensional antiferromagnetic Potts model on a triangular lattice with next-nearest neighbor interactions

    A. B. Babaev, М. А. Магомедов, А. К. Муртазаев +2

    Article20162 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI

  21. Модель Поттса на дереве Кэли: новый класс гиббсовских мер

    M. M. Rahmatullaev, Zhasurbek Dilmurod ugli Dekhkonov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20231 citations
    ABI