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19 works

Work: Gibbs Measures in Biology and Physics

  1. 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
    ABI

  2. Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree

    M. M. Rahmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20243 citations
    ABI

  3. Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree

    Р. М. Хакимов, M. T. Makhammadaliev, U. A. Rozikov

    Articleadvanced mathematical theoriesMathematical Physics Analysis and Geometry20232 citations
    ABI

  4. Kittel’s molecular zipper model on Cayley trees

    U. A. Rozikov

    Review articleGraph theory and applicationsReviews in Mathematical Physics20232 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. On Gibbs measures of the Ising model on (k,m)-ary trees

    Aminah Qawasmeh, Farrukh Mukhamedov, Otabek Khakimov

    Review articleMarkov Chains and Monte Carlo MethodsReviews in Mathematical Physics20242 citations
    ABI

  7. Translation-Invariant Gibbs Measures for the Hard Core Model with a Countable Set of Spin Values

    Р. М. Хакимов, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics20241 citations
    ABI

  8. Periodic ground states for the Chui-Weeks model on the Cayley tree of order three

    M. A. Rasulova, Muslima A. Hakimova

    ArticleTheoretical and Computational PhysicsLetters in Mathematical Physics20251 citations
    ABI

  9. p$$ p $$‐Adic phase transitions for countable state Potts model

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesMathematical Methods in the Applied Sciences20231 citations
    ABI

  10. Трансляционно-инвариантные меры Гиббса для модели Изинга-Поттса на дереве Кэли второго порядка

    M. M. Rahmatullaev, Begzod Mukhtorjonovich Isakov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20241 citations
    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. Неподвижные точки бесконечномерного оператора, связанного с мерами Гиббса

    U. R. Olimov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20230 citations
    ABI

  13. Fixed points of an infinite-dimensional operator related to Gibbs measures

    U. R. Olimov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20230 citations
    ABI

  14. Bubble coalescence in interacting system of DNA molecules

    U. A. Rozikov

    ArticleDNA and Nucleic Acid ChemistryInternational Journal of Biomathematics20230 citations
    ABI

  15. Соединения Холлидея в множестве молекул ДНК для новых трансляционно-инвариантных мер Гиббса модели Поттса

    N. M. Khatamov, Nematulli Naimdjana ugli Malikova

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20240 citations
    ABI

  16. Dynamical Systems of Möbius Transformation: Real, $$p$$-Adic and Complex Variables

    E. T. Aliev, U. A. Rozikov

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20240 citations
    ABI

  17. Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model

    N. M. Khatamov, N.N. Malikov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20240 citations
    ABI

  18. Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree

    M. M. Rakhmatullaev, Begzod Mukhtorjonovich Isakov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20240 citations
    ABI

  19. ON THE RELATIONSHIP BETWEEN CONFIGURATIONS AND LIMITING GIBBS MEASURES FOR THE POTTS-SOS MODEL ON THE CAYLEY TREE

    M. A. Rasulova

    ArticleAdvanced Mathematical Theories and ApplicationsJournal of Mathematical Sciences20260 citations
    ABI