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Works cited by this work

15 works

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

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. On Pure Phases of the Ising Model on the Bethe Lattices

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

  3. On the purity of the limiting gibbs state for the Ising model on the Bethe lattice

    Pavel Bleher, J. Ruiz, Valentin A. Zagrebnov

    Article199561 citations
    ABI

  4. Four competing interactions for models with an uncountable set of spin values on a Cayley tree

    U. A. Rozikov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201715 citations
    ABI

  5. Statistical Mechanics of Lattice Systems

    Sacha Friedli, Yvan Velenik

    Book201715 citations
    ABI

  6. 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

  7. Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree

    U. A. Rozikov, F. H. Haydarov

    ArticleMarkov Chains and Monte Carlo MethodsInfinite Dimensional Analysis Quantum Probability and Related Topics201512 citations
    ABI

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

    F. H. Haydarov

    ArticleFinite Group Theory ResearchLobachevskii Journal of Mathematics201811 citations
    ABI

  9. Fundamentals of Abstract Algebra

    D. S. Malik, John M. Mordeson, M. K. Sen

    Book19965 citations
    ABI

  10. Free bases for normal subgroups of free groups

    Daniel E. Cohen, Roger C. Lyndon

    Article19635 citations
    ABI

  11. 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

  12. Invariance property on group representations of the Cayley tree and its applications

    U. A. Rozikov, F. H. Haydarov

    Preprint20193 citations
    ABI

  13. Probability and measure theory

    R. Ash, Catherine Doléans-Dade

    Book19993 citations
    ABI

  14. Euclidean Gibbs States of Quantum Crystals

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

    Article20013 citations
    ABI

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

    Sergio Albeverio, Yuri Kondratiev, Yuri Kozitsky

    Article19993 citations
    ABI