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Works cited by this work

27 works

Work: Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $k=2$

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 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 Physics199783 citations
    ABI

  4. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

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

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

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

    Stan Zachary

    Article198357 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 Physics199742 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 Physics200938 citations
    ABI

  9. GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

    U. A. Rozikov, Yuri Suhov

    ArticleTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics200634 citations
    ABI

  10. Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200834 citations
    ABI

  11. A Three State Hard-Core Model on a Cayley Tree

    Jean Martin, U. A. Rozikov, Yuri Suhov

    Article200534 citations
    ABI

  12. Markov Random Fields on an Infinite Tree

    Frank Spitzer

    Article197533 citations
    ABI

  13. Описание периодических крайних гиббсовских мер некоторых решеточных моделей на дереве Кэли

    Насир Набиевич Ганиходжаев, Насир Набиевич Ганиходжаев, U. A. Rozikov

    Article199726 citations
    ABI

  14. Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous ising model

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199925 citations
    ABI

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

    U. A. Rozikov

    Article199821 citations
    ABI

  16. 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

  17. 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

  18. 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

  19. New weakly periodic Gibbs measures of Ising model on Cayley tree

    M. M. Rakhmatullaev

    ArticleOpinion Dynamics and Social InfluenceRussian Mathematics201512 citations
    ABI

  20. Statistical Mechanics: Rigorous Results

    David Ruelle

    Book196910 citations
    ABI

  21. Experiments on simple magnetic model systems

    L.J. de Jongh, A.R. Miedema

    Article197410 citations
    ABI

  22. A Manifold of Pure Gibbs States of the Ising Model on a Cayley Tree

    Daniel Gandolfo, Jean Ruiz, Senya Shlosman

    Article20129 citations
    ABI

  23. On new weakly periodic Gibbs measures of the Ising model on the Cayley tree of order ≤ 5

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsJournal of Physics Conference Series20168 citations
    ABI

  24. A manifold of pure Gibbs states of the Ising model on a Cayley tree

    Daniel Gandolfo, Jean Ruiz, Senya Shlosman

    Article20124 citations
    ABI

  25. Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20154 citations
    ABI