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Works cited by this work

19 works

Work: Invariance Property on Group Representations of the Cayley Tree and Its Applications

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. 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

  3. GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

    U. A. Rozikov, Yuri Suhov

    ArticleTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics200634 citations
    ABI

  4. 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

  5. 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

  6. Untitled

    Other21 citations
    ABI

  7. Gibbs Measures in Biology and Physics

    U. A. Rozikov

    Book202119 citations
    ABI

  8. Untitled

    Other18 citations
    ABI

  9. Statistical Mechanics of Lattice Systems

    Sacha Friedli, Yvan Velenik

    Book201715 citations
    ABI

  10. 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

  11. New Normal Subgroups for the Group Representation of the Cayley Tree

    F. H. Haydarov

    ArticleFinite Group Theory ResearchLobachevskii Journal of Mathematics201811 citations
    ABI

  12. 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

  13. Free bases for normal subgroups of free groups

    Daniel E. Cohen, Roger C. Lyndon

    Article19635 citations
    ABI

  14. Uniqueness of Gibbs Measures for an Ising Model with Continuous Spin Values on a Cayley Tree

    F. H. Haydarov, Shamshod A. Akhtamaliyev, Madalixon A. Nazirov +1

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20203 citations
    ABI

  15. On the partitions of a group and the resulting classification

    John W. Young

    Article19273 citations
    ABI

  16. Probability and measure theory

    R. Ash, Catherine Doléans-Dade

    Book19993 citations
    ABI

  17. Euclidean Gibbs States of Quantum Crystals

    Sergio Albeverio, Yu. G. Kondratiev, Tanja Pasurek +1

    Article20013 citations
    ABI

  18. Classical Limits of Euclidean Gibbs States for Quantum Lattice Models

    Sergio Albeverio, Yuri Kondratiev, Yuri Kozitsky

    Article19993 citations
    ABI

  19. On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree

    F. H. Haydarov, R. A. Ilyasova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20222 citations
    ABI