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Works cited by this work

35 works

Work: On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding von Neumann Algebras

  1. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
    ABI

  2. 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

  3. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

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

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    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

    Article199561 citations
    ABI

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

    Stan Zachary

    Article198357 citations
    ABI

  7. Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous ising model

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199925 citations
    ABI

  8. Description of limit Gibbs measures for λ-models on bethe lattices

    U. A. Rozikov

    Article199821 citations
    ABI

  9. Operator Algebras and Quantum Statistical Mechanics

    Ola Bratteli, Derek W. Robinson

    Book197917 citations
    ABI

  10. Rigidity of the Critical Phases on a Cayley Tree

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

    Article200117 citations
    ABI

  11. Extremity of the disordered phase in the Ising model on the Bethe lattice

    Pavel Bleher

    Article199013 citations
    ABI

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

    Stan Zachary

    Article198513 citations
    ABI

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

    Pavel Bleher, J. Ruiz, Valentin A. Zagrebnov

    Article199812 citations
    ABI

  14. Modulated phase of an ising system with competing interactions on a Cayley tree

    J. Vannimenus

    Article198111 citations
    ABI

  15. Une classification des facteurs de type ${\rm III}$

    Alain Connes

    Article197311 citations
    ABI

  16. A new criterion for the location of phase transitions for spin systems on recursive lattices

    James L. Monroe

    Article199410 citations
    ABI

  17. Phase diagram of the Ising Model on a Cayley tree in the presence of competing interactions and magnetic field

    A.M. Mariz, Constantino Tsallis, E.L. Albuquerque

    Article19859 citations
    ABI

  18. Phase diagrams of Ising models on Husimi trees II. Pair Wand multisite interaction systems

    James L. Monroe

    Article19928 citations
    ABI

  19. Exact Solution of the Ising Model on the Cayley Tree with Competing Ternary and Binary Interactions

    Насир Набиевич Ганиходжаев

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20027 citations
    ABI

  20. Operator Algebras and Quantum Statistical Mechanics

    Ola Bratteli, Derek W. Robinson

    Book19816 citations
    ABI

  21. Ising model on the Bethe lattice with competing interactions up to the third-nearest-neighbor generation

    C. R. da Silva, S. Coutinho

    Article19865 citations
    ABI

  22. Representations of Uniformly Hyperfinite Algebras and Their Associated von Neumann Rings

    Robert T. Powers

    Article19675 citations
    ABI

  23. Markovian KMS states

    V. Ya. Golodets, Г. Н. Жолткевич

    Article19834 citations
    ABI

  24. A Classification of Factors

    Huzihiro Araki, E. J. Woods

    Article19684 citations
    ABI

  25. Von Neumann algebra corresponding to one phase of the inhomogeneous Potts model on a Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleAdvanced Operator Algebra ResearchTheoretical and Mathematical Physics20013 citations
    ABI