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Works cited by this work

23 works

Work: Constructive Gibbs measures for the Ising model on the Cayley tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. 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

  3. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

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

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

  5. 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
    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. 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

  10. Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
    ABI

  11. 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

  12. 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

  13. Polynomials

    Victor V. Prasolov

    Book200415 citations
    ABI

  14. On Free Energies of the Ising Model on the Cayley Tree

    D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201313 citations
    ABI

  15. ON FREE ENERGIES OF THE ISING MODEL ON THE CAYLEY TREE

    Daniel Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    ArticleTheoretical and Computational Physics201613 citations
    ABI

  16. Gibbs states on countable sets

    Christopher J. Preston

    Chapter197412 citations
    ABI

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

    M. M. Rakhmatullaev

    ArticleOpinion Dynamics and Social InfluenceRussian Mathematics201512 citations
    ABI

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

    Dmitry Ioffe

    Article199611 citations
    ABI

  19. Free energies of the Potts model on a Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20179 citations
    ABI

  20. Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones

    M. M. Rahmatullaev, U. A. Rozikov

    Article20179 citations
    ABI

  21. Ising model on trees: (<i>k</i> <sub>0</sub>)– non translation-invariant Gibbs measures

    M. M. Rahmatullaev

    Article20179 citations
    ABI

  22. 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

  23. A Manifold of Pure Gibbs States of the Ising Model on the Lobachevsky Plane

    Daniel Gandolfo, Jean Ruiz, Senya Shlosman

    Article20142 citations
    ABI