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Работы, цитирующие эту работу

Работ: 57

Работа: Countable State Space Markov Random Fields and Markov Chains on Trees

  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. Description of the Translation-Invariant Splitting Gibbs Measures for the Potts Model on a Cayley Tree

    Christof Külske, U. A. Rozikov, Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2014Цитирований: 45
    ABI

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

    U. A. Rozikov, M. M. Rakhmatullaev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2009Цитирований: 38
    ABI

  4. 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

  5. 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

  6. On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field*

    Leonid V. Bogachev, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment2019Цитирований: 29
    ABI

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. Gradient Gibbs measures for the SOS model with countable values on a Cayley tree

    Florian Henning, Christof Külske, Arnaud Le Ny +1

    СтатьяTheoretical and Computational PhysicsElectronic Journal of Probability2019Цитирований: 21
    ABI

  13. 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

  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. 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

  16. A Contour Method on Cayley Trees

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2007Цитирований: 16
    ABI

  17. 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

  18. Positive fixed points of quadratic operators and Gibbs measures

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

    СтатьяTheoretical and Computational PhysicsPositivity2016Цитирований: 14
    ABI

  19. 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

  20. 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

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

    M. M. Rakhmatullaev

    СтатьяOpinion Dynamics and Social InfluenceRussian Mathematics2015Цитирований: 12
    ABI

  22. Phase transitions for a model with uncountable set of spin values on a Cayley tree

    Yu. Kh. Èshkabilov, U. A. Rozikov, G. I. Botirov

    СтатьяTheoretical and Computational PhysicsLobachevskii Journal of Mathematics2013Цитирований: 10
    ABI

  23. Extremality of translation-invariant Gibbs measures for the Potts–SOS model on the Cayley tree

    M M Rahmatullaev, M A Rasulova

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment2021Цитирований: 9
    ABI

  24. Periodic Gibbs Measures for the Potts-SOS Model on a Cayley Tree

    M. A. Rasulova

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2019Цитирований: 8
    ABI

  25. The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model

    U. A. Rozikov, Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2012Цитирований: 8
    ABI