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15 works

Work: Statistical Mechanics of Lattice Systems

  1. Holliday Junctions for the Potts Model of DNA

    U. A. Rozikov

    ChapterSpectroscopy and Quantum Chemical StudiesSpringer proceedings in mathematics & statistics201810 citations
    ABI

  2. Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws

    F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20225 citations
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  3. Invariance Property on Group Representations of the Cayley Tree and Its Applications

    F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsResults in Mathematics20224 citations
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  4. On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree

    F. H. Haydarov, R. A. Ilyasova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20222 citations
    ABI

  5. Alternative Gibbs measure for fertile three-state Hard-Core models on a Cayley tree

    R. A. Khakimov, M. T. Makhammadaliev, K. O. Umirzakova

    ArticleTheoretical and Computational PhysicsPhase Transitions20242 citations
    ABI

  6. Kolmogorov extension theorem for non-probability measures on Cayley trees

    F. H. Haydarov

    Review articleMathematical Dynamics and FractalsReviews in Mathematical Physics20231 citations
    ABI

  7. On solutions to nonlinear integral equation of the Hammerstein type and its applications to Gibbs measures for continuous spin systems

    I. M. Mavlonov, A. Sattarov, Sevinj Karimova +1

    ArticleStatistical Mechanics and EntropyNanosystems Physics Chemistry Mathematics20241 citations
    ABI

  8. Phase transition and thermodynamic properties of the Hard-Core-Potts model

    R. M. Khakimov, M. T. Makhammadaliev, N. N. Mutalliev

    ArticleTheoretical and Computational PhysicsNanosystems Physics Chemistry Mathematics20261 citations
    ABI

  9. Periodic Gibbs Measures for Three-State Hard-Core Models in the Case Wand

    Р. М. Хакимов, K. O. Umirzakova

    ArticleTheoretical and Computational PhysicsZurnal matematiceskoj fiziki analiza geometrii20241 citations
    ABI

  10. О периодических мерах Гиббса для модели Изинга, отвечающих новым подгруппам в групповом представлении дерева Кэли

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    ABI

  11. An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsInfinite Dimensional Analysis Quantum Probability and Related Topics20230 citations
    ABI

  12. Gibbs measures of models with uncountable set of spin values on lattice systems

    F. H. Haydarov

    ArticleTheoretical and Computational PhysicsBulletin of National University of Uzbekistan Mathematics and Natural Sciences20230 citations
    ABI

  13. О положительных неподвижных точках оператора типа Гаммерштейна с вырожденным ядром и мерах Гиббса

    I. M. Mavlonov, Nuriddin Kholbaevich Khushvaktov, G. P. Arzikulov +1

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    ABI

  14. On positive fixed points of operator of Hammerstein type with degenerate kernel and Gibbs measures

    I. M. Mavlonov, Kh. N. Khushvaktov, G. P. Arzikulov +1

    ArticleAdvanced Banach Space TheoryTheoretical and Mathematical Physics20240 citations
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  15. Free energy and entropy for the constructive Gibbs measures of the Ising model on the Cayley tree of order three

    M. M. Rahmatullaev, Zulxumor A. Burxonova

    ArticleTheoretical and Computational PhysicsNanosystems Physics Chemistry Mathematics20250 citations
    ABI