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Works cited by this work

33 works

Work: Free energy and entropy for the constructive Gibbs measures of the Ising model on the Cayley tree of order three

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Book2013174 citations
    ABI

  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Book1974104 citations
    ABI

  3. 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

  4. On Pure Phases of the Ising Model on the Bethe Lattices

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

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

    Stan Zachary

    Article198357 citations
    ABI

  6. 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

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

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200938 citations
    ABI

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

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200834 citations
    ABI

  9. A p-Adic Generalized Gibbs Measure for the Ising Model on a Cayley Tree

    M. M. Rahmatullaev, O. N. Khakimov, A. M. Tukhtaboev

    Articleadvanced mathematical theoriesTheoretical and Mathematical Physics201915 citations
    ABI

  10. Statistical Mechanics of Lattice Systems

    Sacha Friedli, Yvan Velenik

    Book201715 citations
    ABI

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

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

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201313 citations
    ABI

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

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

    ArticleTheoretical and Computational Physics201613 citations
    ABI

  13. Non Periodic p-Adic Generalized Gibbs Measure for Ising Model

    M. M. Rahmatullaev, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications201911 citations
    ABI

  14. Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones

    M. M. Rahmatullaev, U. A. Rozikov

    Article20179 citations
    ABI

  15. Ising model on trees: (<i>k</i> <sub>0</sub>)– non translation-invariant Gibbs measures

    M. M. Rahmatullaev

    Article20179 citations
    ABI

  16. Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k

    M. M. Rahmatullaev, Akbarkhuja Tukhtabaev

    Articleadvanced mathematical theoriesMathematical Physics Analysis and Geometry20237 citations
    ABI

  17. Gibbs measures and free energies of Ising–Vannimenus model on the Cayley tree

    Farrukh Mukhamedov, Hasan Akın, Otabek Khakimov

    Article20177 citations
    ABI

  18. Построение несчетного числа предельных гиббсовских мер неоднородной модели Изинга

    U. A. Rozikov

    Article19997 citations
    ABI

  19. Translation-invariant Gibbs measures for the mixed spin-1/2 and spin-1 Ising model with an external field on a Cayley tree

    M. M. Rahmatullaev, D.O. Egamov

    ArticleOpinion Dynamics and Social InfluenceNanosystems Physics Chemistry Mathematics20243 citations
    ABI

  20. The classification of disordered phases of mixed spin (2,1/2) Ising model and the chaoticity of the corresponding dynamical system

    Hasan Akın

    Article20233 citations
    ABI

  21. A Different Approach to Nanothermodynamics

    Terrell L. Hill

    Article20013 citations
    ABI

  22. Quantitative behavior of (1,1/2)-MSIM on a Cayley tree

    Hasan Akın

    Article20232 citations
    ABI

  23. Existence of Weakly Periodic Gibbs Measures for the Ising Model on the Cayley Tree of Order Three

    M. M. Rakhmatullaev, Ж.Д.у. Дехконов

    Article20212 citations
    ABI

  24. Translation-invariant p-adic quasi Gibbs measures for the Potts model with an external field on the Cayley tree

    M. M. Rahmatullaev, Nurkhon Samijonova

    Article20252 citations
    ABI

  25. Constructive Gibbs measures for the Ising model on the Cayley tree

    M. M. Rahmatullaev, Zulxumor A. Burxonova

    ArticleOpinion Dynamics and Social InfluenceReports on Mathematical Physics20241 citations
    ABI