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Работы, цитирующие эту работу

Работ: 71

Работа: On Pure Phases of the Ising Model on the Bethe Lattices

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

    Yuri Suhov, U. A. Rozikov

    СтатьяGraph theory and applicationsQueueing Systems2004Цитирований: 49
    ABI

  2. GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

    U. A. Rozikov, Yuri Suhov

    СтатьяTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics2006Цитирований: 34
    ABI

  3. Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2008Цитирований: 34
    ABI

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

    U. A. Rozikov, Yusup Kh. Eshkobilov

    СтатьяTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry2010Цитирований: 27
    ABI

  5. 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

    СтатьяTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry2012Цитирований: 26
    ABI

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

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics1999Цитирований: 25
    ABI

  7. 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

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2012Цитирований: 24
    ABI

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

    G. I. Botirov, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2007Цитирований: 22
    ABI

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

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2006Цитирований: 22
    ABI

  10. Fertile HC models with three states on a cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    СтатьяNonlinear Dynamics and Pattern FormationTheoretical and Mathematical Physics2008Цитирований: 22
    ABI

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

    M. M. Rakhmatullaev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2013Цитирований: 21
    ABI

  12. 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

    СтатьяTheoretical and Computational Physics2016Цитирований: 20
    ABI

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

    Nasir Ganikhodjaev, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry2009Цитирований: 19
    ABI

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

    Farrukh Mukhamedov, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2004Цитирований: 19
    ABI

  15. On the three state Potts model with competing interactions on the Bethe lattice

    Nasir Ganikhodjaev, Farrukh Mukhamedov, José F F Mendes

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment2006Цитирований: 18
    ABI

  16. Gibbs measures for the SOS model with four states on a Cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2006Цитирований: 17
    ABI

  17. A New Set of Limiting Gibbs Measures for the Ising Model on a Cayley Tree

    Hasan Akın, U. A. Rozikov, Seyi̇t Temir

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2010Цитирований: 16
    ABI

  18. A Contour Method on Cayley Trees

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2007Цитирований: 16
    ABI

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

    U. A. Rozikov, F. H. Haydarov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2017Цитирований: 15
    ABI

  20. Positive fixed points of quadratic operators and Gibbs measures

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

    СтатьяTheoretical and Computational PhysicsPositivity2016Цитирований: 14
    ABI

  21. On Free Energies of the Ising Model on the Cayley Tree

    D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2013Цитирований: 13
    ABI

  22. ON FREE ENERGIES OF THE ISING MODEL ON THE CAYLEY TREE

    Daniel Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    СтатьяTheoretical and Computational Physics2016Цитирований: 13
    ABI

  23. Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev, Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2022Цитирований: 12
    ABI

  24. New weakly periodic Gibbs measures of Ising model on Cayley tree

    M. M. Rakhmatullaev

    СтатьяOpinion Dynamics and Social InfluenceRussian Mathematics2015Цитирований: 12
    ABI

  25. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model

    Р. М. Хакимов, M. T. Makhammadaliev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2020Цитирований: 10
    ABI