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Работы, цитирующие эту работу

Работ: 104

Работа: Gibbs States on Countable Sets

  1. QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS

    Rasul Ganikhodzhaev, Farrukh Mukhamedov, U. A. Rozikov

    СтатьяQuantum Mechanics and ApplicationsInfinite Dimensional Analysis Quantum Probability and Related Topics2011Цитирований: 84
    ABI

  2. Description of periodic extreme gibbs measures of some lattice models on the Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics1997Цитирований: 83
    ABI

  3. 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

  4. 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

  5. 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

  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. 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

  10. Periodic Gibbs measures for the Potts model on the Cayley tree

    U. A. Rozikov, Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2013Цитирований: 25
    ABI

  11. 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

  12. 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

  13. The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree

    M. M. Rahmatullaev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2014Цитирований: 20
    ABI

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree

    Р. М. Хакимов

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2015Цитирований: 16
    ABI

  21. 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

  22. Positive fixed points of quadratic operators and Gibbs measures

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

    СтатьяTheoretical and Computational PhysicsPositivity2016Цитирований: 14
    ABI

  23. 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

  24. 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

  25. Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree

    R. M. Khakimov, F. Kh. Khaydarov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2016Цитирований: 13
    ABI