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Works cited by this work

19 works

Work: Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree

  1. Gibbs Measures on Cayley Trees

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    Book2013174 citations
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  2. Gibbs States on Countable Sets

    Christopher J. Preston

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  3. Theory of Phase Transitions: Rigorous Results

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  4. Exactly Solved Models in Statistical Mechanics

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  5. 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
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  6. 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
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  7. 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

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

    U. A. Rozikov

    Article200520 citations
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  9. On Ising Model with Four Competing Interactions on Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry200919 citations
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  10. 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
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  11. Phase diagrams of classical lattice systems

    С. А. Пирогов, Ya. G. Sinaǐ

    Article197518 citations
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  12. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
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  13. On Ising's model of ferromagnetism

    R. Peierls

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  14. An Ising model with three competing interactions on a Cayley tree

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  15. An alternate version of Pirogov-Sinai theory

    Miloš Zahradník

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  16. On<i>q</i>-component models on the Cayley tree: the general case

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    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20067 citations
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  17. Extremal Inhomogeneous Gibbs States for SOS-Models and Finite-Spin Models on Trees

    Loren Coquille, Christof Külske, Arnaud Le Ny

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

    Kh. A. Nazarov, U. A. Rozikov

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

    M. M. Rakhmatullaev, M. A. Rasulova

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