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Works citing this work

30 works

Work: Exactly Solved Models in Statistical Mechanics

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

    Leonid V. Bogachev, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201929 citations
    ABI

  3. 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

  4. 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

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

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200722 citations
    ABI

  6. 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

  7. 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

  8. Phase transition and chaos: P -adic Potts model on a Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesChaos Solitons & Fractals201619 citations
    ABI

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

    Hasan Akın, U. A. Rozikov, Seyi̇t Temir

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201016 citations
    ABI

  10. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

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

    U. A. Rozikov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201715 citations
    ABI

  12. A chain of evolution algebras

    J. M. Casas, M. Ladra, U. A. Rozikov

    ArticleNonlinear Dynamics and Pattern FormationLinear Algebra and its Applications201114 citations
    ABI

  13. Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice

    Nasir Ganikhodjaev, Farrukh Mukhamedov, Chin Hee Pah

    ArticleTheoretical and Computational PhysicsPhysics Letters A20089 citations
    ABI

  14. Gibbs measures of Potts model on Cayley trees: A survey and applications

    U. A. Rozikov

    Review articleTheoretical and Computational PhysicsReviews in Mathematical Physics20219 citations
    ABI

  15. Phase Transition and Critical Values of a Nearest-Neighbor System with Uncountable Local State Space on Cayley Trees

    Benedikt Jahnel, Christof Külske, G. I. Botirov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry20149 citations
    ABI

  16. An Ising model with three competing interactions on a Cayley tree

    Nasir Ganikhodjaev, Chin Hee Pah, Mohamed Ridza Wahiddin

    ArticleStochastic processes and statistical mechanicsJournal of Mathematical Physics20048 citations
    ABI

  17. On a factor associated with the unordered phase of λ-model on a cayley tree

    Farrukh Mukhamedov

    ArticleAdvanced Operator Algebra ResearchReports on Mathematical Physics20048 citations
    ABI

  18. On ground states and phase transition for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e206" altimg="si4.svg"><mml:mi>λ</mml:mi></mml:math>-model with the competing Potts interactions on Cayley trees

    Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil +1

    ArticleTheoretical and Computational PhysicsPhysica A Statistical Mechanics and its Applications20208 citations
    ABI

  19. On<i>q</i>-component models on the Cayley tree: the general case

    G. I. Botirov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20067 citations
    ABI

  20. GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  21. Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree

    G. I. Botirov, Umidjon Usmonaliyevich Qayumov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20214 citations
    ABI

  22. The disordered phase of the inhomogeneous potts model is extremal on the Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20004 citations
    ABI

  23. A model with uncountable set of spin values on a Cayley tree: phase transitions

    G. I. Botirov

    ArticleTheoretical and Computational PhysicsPositivity20163 citations
    ABI

  24. Von Neumann algebras generated by translation-invariant Gibbs states of the Ising model on a Bethe lattice

    Farrukh Mukhamedov

    ArticleRandom Matrices and ApplicationsTheoretical and Mathematical Physics20003 citations
    ABI

  25. Gibbs measures for fertile hard-core models on the Cayley tree

    Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20163 citations
    ABI