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12 works

Work: On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree

  1. 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

  2. On Weakly Periodic Gibbs Measures for the Potts Model with External Field on the Cayley Tree

    M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20168 citations
    ABI

  3. 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

  4. Weakly Periodic Ground States for the λ-Model

    Farrukh Mukhamedov, M. M. Rakhmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20205 citations
    ABI

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

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  6. 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

  7. Основные состояния модели Поттса с конкурирующими взаимодействиями и счетным множеством значений спина на дереве Кэли

    G. I. Botirov, Umidjon Usmonaliyevich Qayumov

    ArticleTheoretical and Computational PhysicsТеоретическая и математическая физика20212 citations
    ABI

  8. Ground states of Ising-Potts model on Cayley tree

    M. M. Rahmatullaev, Begzod Mukhtorjonovich Isakov

    ArticleOpinion Dynamics and Social InfluenceUfimskii Matematicheskii Zhurnal20232 citations
    ABI

  9. Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree

    Farrukh Mukhamedov, M. M. Rahmatullaev, Dilshodbek O. EgAMOV

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20232 citations
    ABI

  10. Periodic and Weakly Periodic Ground States for the λ-Model on Cayley Tree

    Farrukh Mukhamedov, Chin Hee Pah, Muzaffar Rahimatullaev +1

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20171 citations
    ABI

  11. Крайность трансляционно-инвариантных мер Гиббса для $\lambda$-модели на бинарном дереве Кэли

    Farrukh Mukhamedov, M. M. Rahmatullaev, Mukhayo Akbarzhon kizi Rasulova

    ArticleMaterial Science and ThermodynamicsТеоретическая и математическая физика20221 citations
    ABI

  12. Extremality of translation-invariant Gibbs measures for the $$\lambda$$-model on the binary Cayley tree

    Farrukh Mukhamedov, M. M. Rahmatullaev, M. A. Rasulova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20221 citations
    ABI