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Works cited by this work

29 works

Work: On Gibbs measures of the Ising model on (k,m)-ary trees

  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. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

  4. 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

  5. Markov Random Fields on an Infinite Tree

    Frank Spitzer

    Article197533 citations
    ABI

  6. Gibbs Measures in Biology and Physics

    U. A. Rozikov

    Book202119 citations
    ABI

  7. Bethe Lattice and the Bethe Approximation

    Seiichiro Katsura, M. Takizawa

    Article197418 citations
    ABI

  8. Rigidity of the Critical Phases on a Cayley Tree

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

    Article200117 citations
    ABI

  9. 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

  10. 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

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

    Dmitry Ioffe

    Article199611 citations
    ABI

  12. Remarks on the Limiting GIbbs States on a ($d+1$)-Tree

    Yasunari Higuchi

    Article197710 citations
    ABI

  13. Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields

    Rodrigo Bissacot, Eric O. Endo, Aernout C. D. van Enter

    Article201710 citations
    ABI

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

    Farrukh Mukhamedov

    Article202210 citations
    ABI

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

    Daniel Gandolfo, Jean Ruiz, Senya Shlosman

    Article20129 citations
    ABI

  16. 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

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

    Massimo Ostilli

    Article20128 citations
    ABI

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

    P. L. Dobruschin

    Article19688 citations
    ABI

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

    Farrukh Mukhamedov, Hasan Akın, Otabek Khakimov

    Article20177 citations
    ABI

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

    Oscar E. Lanford, David Ruelle

    Article19697 citations
    ABI

  21. Absolute continuity of non-homogeneous Gibbs measures of the Ising model on the Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    ArticleTheoretical and Computational PhysicsNonlinearity20235 citations
    ABI

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

    Russell Lyons

    Article19894 citations
    ABI

  23. Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart

    Massimo Ostilli, Farrukh Mukhamedov, J. F. F. Mendes

    Article20084 citations
    ABI

  24. 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

  25. On an Algebraic Property of the Disordered Phase of the Ising Model with Competing Interactions on a Cayley Tree

    Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi

    Article20163 citations
    ABI