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Works cited by this work

76 works

Work: On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field*

  1. The random-cluster model on a homogeneous tree

    Olle Häggström

    Article19965 citations
    ABI

  2. Principles of mathematical analysis

    Walter Rudin

    Book19645 citations
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  3. Меры Гиббса для модели SOS с четырьмя состояниями на дереве Кэли

    U. A. Rozikov, Шокиржон Азизович Шоюсупов, Shokirzhon Azizovich Shoyusupov

    Article20065 citations
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  4. The Random-Cluster Model

    Geoffrey Grimmett

    Book20043 citations
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  5. Dynamic models of segregation†

    Thomas C. Schelling

    Article19713 citations
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  6. The Bethe lattice spin glass revisited

    Marc Mézard, Giorgio Parisi

    Article20013 citations
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  7. Statistics of the Two-Dimensional Ferromagnet. Part I

    H. A. Kramers, Gregory H. Wannier

    Article19413 citations
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  8. Untitled

    Other3 citations
    ABI

  9. The potts model on bethe lattices

    Francesco di Liberto, G. Monroy, Fulvio Peruggi

    Article19872 citations
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  10. Reconstruction on Trees and Spin Glass Transition

    Marc Mézard, Andrea Montanari

    Article20062 citations
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  11. Reconstruction on Trees and Spin Glass Transition

    Marc Mézard, Andrea Montanari

    Article20062 citations
    ABI

  12. Potts Models and Related Problems in Statistical Mechanics

    Paul Martín

    Book19912 citations
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  13. Statistical mechanics of disordered systems a mathematical perspective

    Anton Bovier

    Book20062 citations
    ABI

  14. A DISCRETE SIMULATION OF TUMOR GROWTH CONCERNING NUTRIENT INFLUENCE

    Liang Sun, Yu-Chao Chang, Xiaoli Cai

    Article20042 citations
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  15. 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

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

    Jörg Reichardt, Stefan Bornholdt

    Article20042 citations
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  17. Simulation of biological cell sorting using a two-dimensional extended Potts model

    François Graner, James A. Glazier

    Article19922 citations
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  18. Application of the Potts Model to Simulation of Ostwald Ripening

    Veena Tikare, James D. Cawley

    Article19982 citations
    ABI

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

    Tetsuya Takaishi

    Article20052 citations
    ABI

  20. Spin-Glass on a Bethe Lattice

    D. J. Thouless

    Article19862 citations
    ABI

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

    Amir Dembo, Andrea Montanari, Allan Sly +1

    Article20142 citations
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  22. Cellular Potts Modeling of Tumor Growth, Tumor Invasion, and Tumor Evolution

    András Szabó, Roeland M. H. Merks

    Article20132 citations
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  23. A little statistical mechanics for the graph theorist

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

    Article20102 citations
    ABI

  24. POTTS-LIKE MODEL FOR GHETTO FORMATION IN MULTI-CULTURAL SOCIETIES

    Christian Schulze

    Article20052 citations
    ABI

  25. Viscous instabilities in flowing foams: a Cellular Potts Model approach

    S. P. Sanyal, James A. Glazier

    Article20062 citations
    ABI