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Работы, на которые ссылается эта работа

Работ: 19

Работа: Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

  1. Gibbs States on Countable Sets

    Christopher J. Preston

    Книга1974Цитирований: 104
    ABI

  2. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Книга2011Цитирований: 85
    ABI

  3. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Книга1988Цитирований: 81
    ABI

  4. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Книга2013Цитирований: 73
    ABI

  5. On the purity of the limiting gibbs state for the Ising model on the Bethe lattice

    Pavel Bleher, J. Ruiz, Valentin A. Zagrebnov

    Статья1995Цитирований: 61
    ABI

  6. Countable State Space Markov Random Fields and Markov Chains on Trees

    Stan Zachary

    Статья1983Цитирований: 57
    ABI

  7. GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

    U. A. Rozikov, Yuri Suhov

    СтатьяTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics2006Цитирований: 34
    ABI

  8. Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2008Цитирований: 34
    ABI

  9. Markov Random Fields on an Infinite Tree

    Frank Spitzer

    Статья1975Цитирований: 33
    ABI

  10. A Constructive Description of Ground States and Gibbs Measures for Ising Model with Two-Step Interactions on Cayley Tree

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2006Цитирований: 22
    ABI

  11. Bethe Lattice and the Bethe Approximation

    Seiichiro Katsura, M. Takizawa

    Статья1974Цитирований: 18
    ABI

  12. A Contour Method on Cayley Trees

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2007Цитирований: 16
    ABI

  13. Introduction to Mathematical Statistical Physics

    R. A. Minlos

    Книга1999Цитирований: 14
    ABI

  14. Bounded, attractive and repulsive Markov specifications on trees and on the one-dimensional lattice

    Stan Zachary

    Статья1985Цитирований: 13
    ABI

  15. Bethe Lattice and the Bethe Approximation

    Seiichiro Katsura, Makoto Takizawa

    Статья1974Цитирований: 12
    ABI

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

    Dmitry Ioffe

    Статья1996Цитирований: 11
    ABI

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

    Yasunari Higuchi

    Статья1977Цитирований: 10
    ABI

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

    Kh. A. Nazarov, U. A. Rozikov

    СтатьяOpinion Dynamics and Social InfluenceTheoretical and Mathematical Physics2003Цитирований: 5
    ABI

  19. Stochastic processes

    J. L. Doob, J. L. Doob

    Книга1953Цитирований: 4
    ABI