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Works cited by this work

24 works

Work: Periodic Gibbs Measures for the Potts-SOS Model on a Cayley Tree

  1. Untitled

    Other1117 citations
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  2. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
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  3. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
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  4. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
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  5. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
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  6. On Pure Phases of the Ising Model on the Bethe Lattices

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
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  7. 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
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  8. Countable State Space Markov Random Fields and Markov Chains on Trees

    Stan Zachary

    Article198357 citations
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  9. Description of the Translation-Invariant Splitting Gibbs Measures for the Potts Model on a Cayley Tree

    Christof Külske, U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201445 citations
    ABI

  10. 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

  11. Untitled

    Other40 citations
    ABI

  12. 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

  13. Periodic Gibbs measures for the Potts model on the Cayley tree

    U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201325 citations
    ABI

  14. Extremality of Translation-Invariant Phases for a Three-State SOS-Model on the Binary Tree

    Christof Kuelske, U. A. Rozikov

    Article201522 citations
    ABI

  15. The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201420 citations
    ABI

  16. Rigidity of the Critical Phases on a Cayley Tree

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

    Article200117 citations
    ABI

  17. Extremity of the disordered phase in the Ising model on the Bethe lattice

    Pavel Bleher

    Article199013 citations
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  18. Bounded, attractive and repulsive Markov specifications on trees and on the one-dimensional lattice

    Stan Zachary

    Article198513 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. On the extremality of the disordered state for the Ising model on the Bethe lattice

    Dmitry Ioffe

    Article199611 citations
    ABI

  21. 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
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  22. GIBBS MEASURES FOR THE POTTS-SOS MODEL WITH THREE STATES OF SPIN VALUES

    Halit Saygılı

    Article20167 citations
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  23. Extremality of the Disordered State for the Ising Model on General Trees

    Dmitry Ioffe

    Chapter19964 citations
    ABI

  24. Gibbs Measures For SOS Models On a Cayley Tree

    U. A. Rozikov, Suhov, Yu. M.

    Preprint20042 citations
    ABI