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Works cited by this work

35 works

Work: Four competing interactions for models with an uncountable set of spin values on a Cayley tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
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  3. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 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. The Potts Model with Countable Set of Spin Values on a Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    Article200660 citations
    ABI

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

    Stan Zachary

    Article198357 citations
    ABI

  8. 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

  9. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

  10. 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

  11. Markov Random Fields on an Infinite Tree

    Frank Spitzer

    Article197533 citations
    ABI

  12. Exactly Solved Models in Statistical Mechanics

    R. J. Baxter

    Chapter198530 citations
    ABI

  13. On Models with Uncountable Set of Spin Values on a Cayley Tree: Integral Equations

    U. A. Rozikov, Yusup Kh. Eshkobilov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201027 citations
    ABI

  14. Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    Yu. Kh. Èshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201226 citations
    ABI

  15. Non-uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    Y. K. Eshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201224 citations
    ABI

  16. 2 NON-UNIQUENESS OF GIBBS MEASURE FOR MODELS WITH UNCOUNTABLE SET OF SPIN VALUES ON A CAYLEY TREE

    Yu. Kh. Eshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational Physics201620 citations
    ABI

  17. On Ising Model with Four Competing Interactions on Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry200919 citations
    ABI

  18. 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

  19. Phase diagrams of classical lattice systems

    С. А. Пирогов, Ya. G. Sinaǐ

    Article197518 citations
    ABI

  20. 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

  21. Positive fixed points of quadratic operators and Gibbs measures

    Yusup Khalbaevich Eshkabilov, Shohruh Dilmurodovich Nodirov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsPositivity201614 citations
    ABI

  22. Структуры разбиений на классы смежности группового представления дерева Кэли по нормальным делителям конечного индекса и их применения для описания периодических распределений Гиббса

    U. A. Rozikov

    Article199713 citations
    ABI

  23. Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree

    U. A. Rozikov, F. H. Haydarov

    ArticleMarkov Chains and Monte Carlo MethodsInfinite Dimensional Analysis Quantum Probability and Related Topics201512 citations
    ABI

  24. First-order phase transitions in large entropy lattice models

    Roman Kotecký, Senya Shlosman

    Article198211 citations
    ABI

  25. Phase diagrams of classical lattice systems continuation

    С. А. Пирогов, Ya. G. Sinaǐ

    Article197611 citations
    ABI