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Works cited by this work

28 works

Work: On Ising Model with Four Competing Interactions on 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. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

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

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

  6. 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

  7. 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

  8. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

  9. Partition structures of the cayley tree and applications for describing periodic gibbs distributions

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics199742 citations
    ABI

  10. Markov Random Fields on an Infinite Tree

    Frank Spitzer

    Article197533 citations
    ABI

  11. Exactly Solved Models in Statistical Mechanics

    R. J. Baxter

    Chapter198530 citations
    ABI

  12. 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

  13. On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding von Neumann Algebras

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200419 citations
    ABI

  14. Bethe Lattice and the Bethe Approximation

    Seiichiro Katsura, M. Takizawa

    Article197418 citations
    ABI

  15. On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding Von Neumann Algebras II

    Farrukh Mukhamedov, U. A. Rozikov

    Article200517 citations
    ABI

  16. Rigidity of the Critical Phases on a Cayley Tree

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

    Article200117 citations
    ABI

  17. Mathematical handbook for scientists and engineers

    Granino A. Korn

    Book196114 citations
    ABI

  18. Bethe Lattice and the Bethe Approximation

    Seiichiro Katsura, Makoto Takizawa

    Article197412 citations
    ABI

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

    James L. Monroe

    Article199410 citations
    ABI

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

    James L. Monroe

    Article19928 citations
    ABI

  21. An Ising model with three competing interactions on a Cayley tree

    Nasir Ganikhodjaev, Chin Hee Pah, Mohamed Ridza Wahiddin

    ArticleStochastic processes and statistical mechanicsJournal of Mathematical Physics20048 citations
    ABI

  22. 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

  23. Exact solution of an Ising model with competing interactions on a Cayley tree

    Nasir Ganikhodjaev, Chin Hee Pah, Mohamed Ridza Wahiddin

    ArticleTheoretical and Computational PhysicsJournal of Physics A Mathematical and General20037 citations
    ABI

  24. Markov Random Fields and Their Applications

    Ross Kindermann, J. Laurie Snell

    Book19806 citations
    ABI

  25. Phase transitions on nonamenable graphs

    Russell Lyons

    Article20004 citations
    ABI