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Works cited by this work

28 works

Work: The extremality of disordered phases for the mixed spin-(1,1/2) Ising model on a Cayley tree of arbitrary order

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree

    Christof Külske, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsRandom Structures and Algorithms201635 citations
    ABI

  3. Fast mixing for independent sets, colorings, and other models on trees

    Fabio Martinelli, Alistair Sinclair, Dror Weitz

    Article200629 citations
    ABI

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

    Harry Kesten, Bernt P. Stigum

    Article196626 citations
    ABI

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

    Pavel Bleher

    Article199013 citations
    ABI

  6. Information flow on trees

    Elchanan Mossel, Yuval Peres

    Article200311 citations
    ABI

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

    Dmitry Ioffe

    Article199611 citations
    ABI

  8. Extremality of Disordered Phase of λ-Model on Cayley Trees

    Farrukh Mukhamedov

    Article202210 citations
    ABI

  9. Extremality of translation-invariant Gibbs measures for the Potts–SOS model on the Cayley tree

    M M Rahmatullaev, M A Rasulova

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20219 citations
    ABI

  10. Untitled

    Other9 citations
    ABI

  11. Reconstruction on Trees: Beating the Second Eigenvalue

    Elchanan Mossel

    Article20018 citations
    ABI

  12. Reconstruction for the Potts model

    Allan Sly

    Article20118 citations
    ABI

  13. Cayley Trees and Bethe Lattices: A concise analysis for mathematicians and physicists

    Massimo Ostilli

    Article20128 citations
    ABI

  14. The Description of a Random Field by Means of Conditional Probabilities and Conditions of Its Regularity

    P. L. Dobruschin

    Article19688 citations
    ABI

  15. Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree

    U. A. Rozikov, Р. М. Хакимов, F. Kh. Khaidarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20188 citations
    ABI

  16. Untitled

    Other8 citations
    ABI

  17. Gibbs measures and free energies of Ising–Vannimenus model on the Cayley tree

    Farrukh Mukhamedov, Hasan Akın, Otabek Khakimov

    Article20177 citations
    ABI

  18. Observables at infinity and states with short range correlations in statistical mechanics

    Oscar E. Lanford, David Ruelle

    Article19697 citations
    ABI

  19. Reconstruction Thresholds on Regular Trees

    Jean Martin

    Article20036 citations
    ABI

  20. The Ising model and percolation on trees and tree-like graphs

    Russell Lyons

    Article19894 citations
    ABI

  21. Phase transition for the Ising model with mixed spins on a Cayley tree

    Hasan Akın, Farrukh Mukhamedov

    Article20224 citations
    ABI

  22. The classification of disordered phases of mixed spin (2,1/2) Ising model and the chaoticity of the corresponding dynamical system

    Hasan Akın

    Article20233 citations
    ABI

  23. Ising spin systems on Cayley tree-like lattices: Spontaneous magnetization and correlation functions far from the boundary

    H. Moraal

    Article19782 citations
    ABI

  24. Critical phenomena in complex networks

    S. N. Dorogovt︠s︡ev, A. V. Goltsev, J. F. F. Mendes

    Article20082 citations
    ABI

  25. Quantitative behavior of (1,1/2)-MSIM on a Cayley tree

    Hasan Akın

    Article20232 citations
    ABI