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Works cited by this work

27 works

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

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

  3. 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

  4. 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

  5. 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

  6. On q-Component Models on Cayley Tree: Contour Method

    U. A. Rozikov

    Article200520 citations
    ABI

  7. 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

  8. Phase diagrams of classical lattice systems

    С. А. Пирогов, Ya. G. Sinaǐ

    Article197518 citations
    ABI

  9. Evolution algebras generated by Gibbs measures

    U. A. Rozikov, Jianjun Paul Tian

    ArticleAdvanced Topics in AlgebraLobachevskii Journal of Mathematics201111 citations
    ABI

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

    F. H. Haydarov

    ArticleFinite Group Theory ResearchLobachevskii Journal of Mathematics201811 citations
    ABI

  11. Phase transitions for a model with uncountable set of spin values on a Cayley tree

    Yu. Kh. Èshkabilov, U. A. Rozikov, G. I. Botirov

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics201310 citations
    ABI

  12. On Ising's model of ferromagnetism

    R. Peierls

    Article19369 citations
    ABI

  13. Gibbs measures for the three-state SOS model with external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleTheoretical and Computational PhysicsPositivity20228 citations
    ABI

  14. An alternate version of Pirogov-Sinai theory

    Miloš Zahradník

    Article19847 citations
    ABI

  15. The Boundary Condition Problems for the Three-State SOS Model on the Binary Tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20237 citations
    ABI

  16. 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

  17. Ground states for the SOS model with an external field on the Cayley tree

    M. M. Rahmatullaev, M.R. Abdusalomova, M. A. Rasulova

    Article20206 citations
    ABI

  18. Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field

    Obid Sh. Karshiboev

    ArticleQuantum chaos and dynamical systemsTheoretical and Mathematical Physics20225 citations
    ABI

  19. Phase transition for the SOS model under inhomogeneous external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleNonlinear Dynamics and Pattern FormationPhase Transitions20225 citations
    ABI

  20. Ground states for the ising model with an external field on the Cayley tree

    M. M. Rakhmatullaev, M. A. Rasulova

    Article20184 citations
    ABI

  21. 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

  22. System of recursive equations for the partition functions of 1D models

    U. A. Rozikov

    Articleadvanced mathematical theoriesLobachevskii Journal of Mathematics20112 citations
    ABI

  23. Untitled

    Other2 citations
    ABI

  24. Untitled

    Other2 citations
    ABI

  25. Periodic and Weakly Periodic Ground States for the λ-Model on Cayley Tree

    Farrukh Mukhamedov, Chin Hee Pah, Muzaffar Rahimatullaev +1

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20171 citations
    ABI