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Works cited by this work

22 works

Work: A New Set of Limiting Gibbs Measures for the Ising Model on a Cayley Tree

  1. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
    ABI

  2. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book201185 citations
    ABI

  3. Description of periodic extreme gibbs measures of some lattice models on the Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199783 citations
    ABI

  4. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

  5. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

  6. On Pure Phases of the Ising Model on the Bethe Lattices

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

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

    Pavel Bleher, J. Ruiz, Valentin A. Zagrebnov

    Article199561 citations
    ABI

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

    Stan Zachary

    Article198357 citations
    ABI

  9. A Hard-Core Model on a Cayley Tree: An Example of a Loss Network

    Yuri Suhov, U. A. Rozikov

    ArticleGraph theory and applicationsQueueing Systems200449 citations
    ABI

  10. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

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

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200938 citations
    ABI

  12. Markov Random Fields on an Infinite Tree

    Frank Spitzer

    Article197533 citations
    ABI

  13. Exactly Solved Models in Statistical Mechanics

    R. J. Baxter

    Chapter198530 citations
    ABI

  14. Rigidity of the Critical Phases on a Cayley Tree

    Pavel Bleher, J. Ruiz, Roberto H. Schonmann +2

    Article200117 citations
    ABI

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

    Stan Zachary

    Article198513 citations
    ABI

  16. On the Phase Diagram of the Random Field Ising Model on the Bethe Lattice

    Pavel Bleher, J. Ruiz, Valentin A. Zagrebnov

    Article199812 citations
    ABI

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

    Dmitry Ioffe

    Article199611 citations
    ABI

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

    Yasunari Higuchi

    Article197710 citations
    ABI

  19. Theory of the Ising model on a Cayley tree

    E. M�ller-Hartmann

    Article19775 citations
    ABI

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

    R. L. Dobrushin

    Article19733 citations
    ABI

  21. Untitled

    Other1 citations
    ABI

  22. Untitled

    Other1 citations
    ABI