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Works cited by this work

197 works

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

  1. Phase diagram of the one-state potts model on the Cayley tree

    F. S. de Aguiar, F. Bosco, Alexandre Souto Martinêz +1

    Article19903 citations
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  2. Griffiths' singularities in diluted ising models on the Cayley tree

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  3. QUANTUM MARKOV FIELDS ON GRAPHS

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  5. Modulated Phase of a Potts Model with Competing Binary Interactions on a Cayley Tree

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    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20092 citations
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  6. Untitled

    Other2 citations
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  7. A second threshold for the hard‐core model on a Bethe lattice

    Graham Brightwell, Peter Winkler

    Article20042 citations
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  8. Statistical mechanics of disordered systems a mathematical perspective

    Anton Bovier

    Book20062 citations
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  9. Spin-Glass on a Bethe Lattice

    D. J. Thouless

    Article19862 citations
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  10. Potts Model with two Competing Binary Interactions

    Nasir Ganikhodjaev

    Article20072 citations
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  11. Probability measures and Hamiltonian models on Bethe lattices. II. The solution of thermal and configurational problems

    Fulvio Peruggi

    Article19842 citations
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  12. Markov random field models of multicasting in tree networks

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

    Article20022 citations
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  13. Five surprising properties of parsimoniously colored trees

    Mike Steel, Michael Charleston

    Article19952 citations
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  14. On the Impossibility of Reconstructing Ancestral Data and Phylogenies

    Elchanan Mossel

    Article20032 citations
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  15. Taxonomy with confidence

    James A. Cavender

    Article19782 citations
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  16. A phase transition for a random cluster model on phylogenetic trees

    Elchanan Mossel, Mike Steel

    Article20042 citations
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  17. Five surprising properties of parsimoniously colored trees

    Mike Steel, Mike Charleston

    Article19952 citations
    ABI

  18. Critical behaviour in three-state Potts antiferromagnets on a Bethe lattice

    Fulvio Peruggi, Francesco di Liberto, G. Monroy

    Article19852 citations
    ABI

  19. Periodic Gibbs measures of the inhomogeneous Ising model on trees

    U. A. Rozikov

    ArticleOpinion Dynamics and Social InfluenceRussian Mathematical Surveys20012 citations
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  20. No Phase Transition for Gaussian Fields with Bounded Spins

    Pablo A. Ferrari, Sebastian P. Grynberg

    Article20072 citations
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  21. Untitled

    Other2 citations
    ABI

  22. Representability of Trees and Some of Their Applications

    U. A. Rozikov

    ArticleStochastic processes and statistical mechanicsMathematical Notes20022 citations
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  23. The phase separation line in the two-dimensional Ising model

    Giovanni Gallavotti

    Article19722 citations
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  24. On mean field equations for spin glasses

    Colin J. Thompson

    Article19822 citations
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  25. System of recursive equations for the partition functions of 1D models

    U. A. Rozikov

    Articleadvanced mathematical theoriesLobachevskii Journal of Mathematics20112 citations
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