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Works cited by this work

18 works

Work: Potts model with competing interactions on the Cayley tree: The contour method

  1. 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

  2. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

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

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

  4. 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

  5. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

  6. 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

  7. Exactly Solved Models in Statistical Mechanics

    R. J. Baxter

    Chapter198530 citations
    ABI

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

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200622 citations
    ABI

  9. On q-Component Models on Cayley Tree: Contour Method

    U. A. Rozikov

    Article200520 citations
    ABI

  10. 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

  11. Phase diagrams of classical lattice systems

    С. А. Пирогов, Ya. G. Sinaǐ

    Article197518 citations
    ABI

  12. 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

  13. Introduction to Mathematical Statistical Physics

    R. A. Minlos

    Book199914 citations
    ABI

  14. Untitled

    Other10 citations
    ABI

  15. On Ising's model of ferromagnetism

    R. Peierls

    Article19369 citations
    ABI

  16. An alternate version of Pirogov-Sinai theory

    Miloš Zahradník

    Article19847 citations
    ABI

  17. Structure of ground states in three-dimensional using model with three-step interaction

    I. A. Kashapov

    Article19776 citations
    ABI

  18. Peierls condition and number of ground states

    W. Holsztyński, J. Slawny

    Article19783 citations
    ABI