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Works cited by this work

197 works

Work: GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS

  1. 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

  2. Fertile HC models with three states on a cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleNonlinear Dynamics and Pattern FormationTheoretical and Mathematical Physics200822 citations
    ABI

  3. Description of limit Gibbs measures for λ-models on bethe lattices

    U. A. Rozikov

    Article199821 citations
    ABI

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

    U. A. Rozikov

    Article200520 citations
    ABI

  5. 2 NON-UNIQUENESS OF GIBBS MEASURE FOR MODELS WITH UNCOUNTABLE SET OF SPIN VALUES ON A CAYLEY TREE

    Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational Physics201620 citations
    ABI

  6. On Ising Model with Four Competing Interactions on Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry200919 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. Probability

    Albert N. Shiryaev

    Book199619 citations
    ABI

  9. Phase diagrams of classical lattice systems

    С. А. Пирогов, Ya. G. Sinaǐ

    Article197518 citations
    ABI

  10. Bethe Lattice and the Bethe Approximation

    Seiichiro Katsura, M. Takizawa

    Article197418 citations
    ABI

  11. 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

  12. Rigidity of the Critical Phases on a Cayley Tree

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

    Article200117 citations
    ABI

  13. Gibbs measures for the SOS model with four states on a Cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200617 citations
    ABI

  14. A New Set of Limiting Gibbs Measures for the Ising Model on a Cayley Tree

    Hasan Akın, U. A. Rozikov, Seyi̇t Temir

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201016 citations
    ABI

  15. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  16. Introduction to Mathematical Statistical Physics

    R. A. Minlos

    Book199914 citations
    ABI

  17. Bounded, attractive and repulsive Markov specifications on trees and on the one-dimensional lattice

    Stan Zachary

    Article198513 citations
    ABI

  18. Bethe Lattice and the Bethe Approximation

    Seiichiro Katsura, Makoto Takizawa

    Article197412 citations
    ABI

  19. On the Phase Diagram of the Random Field Ising Model on the Bethe Lattice

    Pavel Bleher, J. Ruiz, Valentin A. Zagrebnov

    Article199812 citations
    ABI

  20. On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov, J. F. F. Mendes

    Article200712 citations
    ABI

  21. Information flow on trees

    Elchanan Mossel, Yuval Peres

    Article200311 citations
    ABI

  22. Stochastic Models of Computer Communication Systems

    F. P. Kelly

    Article198511 citations
    ABI

  23. On disordered phase in the ferromagnetic Potts model on the Bethe lattice

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200011 citations
    ABI

  24. On the extremality of the disordered state for the Ising model on the Bethe lattice

    Dmitry Ioffe

    Article199611 citations
    ABI

  25. Modulated phase of an ising system with competing interactions on a Cayley tree

    J. Vannimenus

    Article198111 citations
    ABI