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7 works

Work: An alternate version of Pirogov-Sinai theory

  1. 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

  2. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  3. On<i>q</i>-component models on the Cayley tree: the general case

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20067 citations
    ABI

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  5. Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree

    M. M. Rahmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20243 citations
    ABI

  6. Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree

    M. M. Rahmatullaev, M. A. Rasulova, Javohir N. Asqarov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20232 citations
    ABI

  7. Ground States and Gibbs Measures for the SOS Model with an External Field and Countable Set of Spin Values on a Cayley Tree

    M. M. Rahmatullaev, Bunyod U. Abraev

    ArticleQuantum chaos and dynamical systemsLobachevskii Journal of Mathematics20240 citations
    ABI