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Works cited by this work

22 works

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

  1. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
    ABI

  2. 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

  3. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

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

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 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

    Article199561 citations
    ABI

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

    Stan Zachary

    Article198357 citations
    ABI

  7. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

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

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199742 citations
    ABI

  9. 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

  10. Exactly Solved Models in Statistical Mechanics

    R. J. Baxter

    Chapter198530 citations
    ABI

  11. 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

  12. 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

  13. 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 Physics200419 citations
    ABI

  14. On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding Von Neumann Algebras II

    Farrukh Mukhamedov, U. A. Rozikov

    Article200517 citations
    ABI

  15. Rigidity of the Critical Phases on a Cayley Tree

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

    Article200117 citations
    ABI

  16. Introduction to Mathematical Statistical Physics

    R. A. Minlos

    Book199914 citations
    ABI

  17. 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

  18. Gibbs states on countable sets

    Christopher J. Preston

    Chapter197412 citations
    ABI

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

    F. H. Haydarov

    ArticleFinite Group Theory ResearchLobachevskii Journal of Mathematics201811 citations
    ABI

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

    M. M. Rahmatullaev

    Preprint20086 citations
    ABI

  21. Periodic Gibbs Measures for the Ising Model with Competing Interactions

    Kh. A. Nazarov, U. A. Rozikov

    ArticleOpinion Dynamics and Social InfluenceTheoretical and Mathematical Physics20035 citations
    ABI

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

    U. A. Rozikov, F. H. Haydarov

    Preprint20193 citations
    ABI