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19 works

Work: Periodic and weakly periodic ground states corresponding to the subgroups of index three for the Ising model on the Cayley tree of order three

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013202 citations
    ABI

  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974116 citations
    ABI

  3. 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 Physics199794 citations
    ABI

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

    P. M. Blekher, N. N. Ganikhodgaev

    Article199184 citations
    ABI

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

    Pavel Bleher, J. Ruiz, Valentin A. Zagrebnov

    Article199570 citations
    ABI

  6. Countable State Space Markov Random Fields and Markov Chains on Trees

    Stan Zachary

    Article198368 citations
    ABI

  7. Partition structures of the cayley tree and applications for describing periodic gibbs distributions

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199752 citations
    ABI

  8. 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 Physics200945 citations
    ABI

  9. 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 Physics200630 citations
    ABI

  10. 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 Physics201326 citations
    ABI

  11. On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding von Neumann Algebras

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200425 citations
    ABI

  12. Rigidity of the Critical Phases on a Cayley Tree

    Pavel Bleher, J. Ruiz, Roberto H. Schonmann +2

    Article200120 citations
    ABI

  13. Introduction to Mathematical Statistical Physics

    R. A. Minlos

    Book199918 citations
    ABI

  14. 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 Mathematics201617 citations
    ABI

  15. Untitled

    Other13 citations
    ABI

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

    F. H. Haydarov

    ArticleFinite Group Theory ResearchLobachevskii Journal of Mathematics201813 citations
    ABI

  17. 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 Physics20215 citations
    ABI

  18. 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 Physics20224 citations
    ABI

  19. Untitled

    Other2 citations
    ABI