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Works cited by this work

152 works

Work: Gibbs measures of Potts model on Cayley trees: A survey and applications

  1. Reconstruction on Trees: Beating the Second Eigenvalue

    Elchanan Mossel

    Article20018 citations
    ABI

  2. Reconstruction for the Potts model

    Allan Sly

    Article20118 citations
    ABI

  3. A symmetric entropy bound on the non-reconstruction regime of Markov chains on Galton-Watson trees

    Christof Külske, Marco Formentin

    Article20098 citations
    ABI

  4. On Weakly Periodic Gibbs Measures for the Potts Model with External Field on the Cayley Tree

    M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20168 citations
    ABI

  5. Periodic Gibbs Measures for the Potts-SOS Model on a Cayley Tree

    M. A. Rasulova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20198 citations
    ABI

  6. 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

  7. Boundary Conditions for Translation-Invariant Gibbs Measures of the Potts Model on Cayley Trees

    Daniel Gandolfo, M. M. Rahmatullaev, U. A. Rozikov

    Article20177 citations
    ABI

  8. Reconstruction Thresholds on Regular Trees

    Jean Martin

    Article20036 citations
    ABI

  9. New Periodic Gibbs Measures for q-state Potts Model on a Cayley Tree

    Р. М. Хакимов, Рустамжон Махмудович Хакимов

    Article20146 citations
    ABI

  10. Thermodynamics of interacting systems of DNA molecules

    U. A. Rozikov

    ArticleDNA and Nucleic Acid ChemistryTheoretical and Mathematical Physics20216 citations
    ABI

  11. Theory of the Ising model on a Cayley tree

    E. M�ller-Hartmann

    Article19775 citations
    ABI

  12. GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  13. Gibbs Properties of the Fuzzy Potts Model on Trees and in Mean Field

    Olle Häggström, Christopher Külske

    Article20043 citations
    ABI

  14. Dynamic models of segregation†

    Thomas C. Schelling

    Article19713 citations
    ABI

  15. Thermodynamics of DNA–RNA renaturation

    U. A. Rozikov

    ArticleOrigins and Evolution of LifeInternational Journal of Geometric Methods in Modern Physics20213 citations
    ABI

  16. Untitled

    Other3 citations
    ABI

  17. A DISCRETE SIMULATION OF TUMOR GROWTH CONCERNING NUTRIENT INFLUENCE

    Liang Sun, Yu-Chao Chang, Xiaoli Cai

    Article20042 citations
    ABI

  18. Evolutionary trees and the Ising model on the Bethe lattice: a proof of Steel’s conjecture

    Constantinos Daskalakis, Elchanan Mossel, Sébastien Roch

    Article20092 citations
    ABI

  19. Detecting Fuzzy Community Structures in Complex Networks with a Potts Model

    Jörg Reichardt, Stefan Bornholdt

    Article20042 citations
    ABI

  20. Simulation of biological cell sorting using a two-dimensional extended Potts model

    François Graner, James A. Glazier

    Article19922 citations
    ABI

  21. Application of the Potts Model to Simulation of Ostwald Ripening

    Veena Tikare, James D. Cawley

    Article19982 citations
    ABI

  22. SIMULATIONS OF FINANCIAL MARKETS IN A POTTS-LIKE MODEL

    Tetsuya Takaishi

    Article20052 citations
    ABI

  23. The Replica Symmetric Solution for Potts Models on d-Regular Graphs

    Amir Dembo, Andrea Montanari, Allan Sly +1

    Article20142 citations
    ABI

  24. Cellular Potts Modeling of Tumor Growth, Tumor Invasion, and Tumor Evolution

    András Szabó, Roeland M. H. Merks

    Article20132 citations
    ABI

  25. A little statistical mechanics for the graph theorist

    Laura Beaudin, Joanna A. Ellis-Monaghan, Greta Pangborn +1

    Article20102 citations
    ABI