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Works cited by this work

197 works

Work: GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS

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

    Oscar E. Lanford, David Ruelle

    Article19697 citations
    ABI

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

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20067 citations
    ABI

  3. Markov random field models of multicasting in tree networks

    Kavita Ramanan, Anirvan M. Sengupta, Ilze Ziediņš +1

    Article20026 citations
    ABI

  4. Markov Random Fields and Their Applications

    Ross Kindermann, J. Laurie Snell

    Book19806 citations
    ABI

  5. Structure of ground states in three-dimensional using model with three-step interaction

    I. A. Kashapov

    Article19776 citations
    ABI

  6. Reconstruction Thresholds on Regular Trees

    Jean Martin

    Article20036 citations
    ABI

  7. Probability measures and Hamiltonian models on Bethe lattices. I. Properties and construction of MRT probability measures

    Fulvio Peruggi

    Article19845 citations
    ABI

  8. The random-cluster model on a homogeneous tree

    Olle Häggström

    Article19965 citations
    ABI

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

    Kh. A. Nazarov, U. A. Rozikov

    ArticleOpinion Dynamics and Social InfluenceTheoretical and Mathematical Physics20035 citations
    ABI

  10. Theory of the Ising model on a Cayley tree

    E. M�ller-Hartmann

    Article19775 citations
    ABI

  11. Spherical model on the Cayley tree

    W M Zimmer, G. Obermair

    Article19785 citations
    ABI

  12. Hard constraints and the bethe lattice: adventures at the interface of combinatorics and statistical physics

    Graham Brightwell, Peter Winkler

    Preprint20035 citations
    ABI

  13. New order parameters in the Potts model on a Cayley tree

    F Wagner, D Grensing, J Heide

    Article20014 citations
    ABI

  14. Metastability in the Potts model on the Cayley tree

    F. S. de Aguiar, L. B. Bernardes, S. Goulart Rosa

    Article19914 citations
    ABI

  15. New order parameters in the Potts model on a Cayley tree

    Friedrich Wagner, D. Grensing, J. van der Heide

    Article20084 citations
    ABI

  16. Finitely correlated states on quantum spin chains

    M. Fannes, Bruno Nachtergaele, Reinhard F. Werner

    Article19924 citations
    ABI

  17. Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20014 citations
    ABI

  18. Robust Phase Transitions for Heisenberg and other Models on General Trees

    Robin Pemantle, Jeffrey E. Steif

    Article19994 citations
    ABI

  19. An example of one-dimensional phase transition

    U. A. Rozikov

    Preprint20064 citations
    ABI

  20. On Quantum Markov Chains on Cayley Tree II: Phase Transitions for the Associated Chain with XY-Model on the Cayley Tree of Order Three

    Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov

    Article20114 citations
    ABI

  21. Untitled

    Other4 citations
    ABI

  22. Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model

    R. L. Dobrushin

    Article19733 citations
    ABI

  23. The Bethe lattice spin glass revisited

    Marc Mézard, Giorgio Parisi

    Article20013 citations
    ABI

  24. Competing Ising interactions and chaotic glass-like behaviour on a Cayley tree

    Sakari Inawashiro, Colin J. Thompson

    Article19833 citations
    ABI

  25. Ground states of VBS models on cayley trees

    M. Fannes, Bruno Nachtergaele, Reinhard F. Werner

    Article19923 citations
    ABI