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8 works

Work: Cayley Trees and Bethe Lattices: A concise analysis for mathematicians and physicists

  1. 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

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

    Farrukh Mukhamedov, Otabek Khakimov

    Articleadvanced mathematical theoriesChaos Solitons & Fractals201619 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. Absolute continuity of non-homogeneous Gibbs measures of the Ising model on the Cayley tree

    Farrukh Mukhamedov, Otabek Khakimov

    ArticleTheoretical and Computational PhysicsNonlinearity20235 citations
    ABI

  5. 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

  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. The extremality of disordered phases for the mixed spin-(1,1/2) Ising model on a Cayley tree of arbitrary order

    Hasan Akın, Farrukh Mukhamedov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20240 citations
    ABI

  8. P-Adic Dynamical Systems for p-Adic $$\lambda $$-Models on the Cayley Trees

    Farrukh Mukhamedov, Otabek Khakimov

    Chapteradvanced mathematical theoriesTrends in mathematics20250 citations
    ABI