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Stochastic processes and statistical mechanics

254 works

  1. The Potts model on Zd with countable set of spin values

    Nasir Ganikhodjaev

    ArticleTheoretical and Computational PhysicsJournal of Mathematical Physics200410 citations
    ABI

  2. Holliday Junctions for the Potts Model of DNA

    U. A. Rozikov

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

  3. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model

    Р. М. Хакимов, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics202010 citations
    ABI

  4. Hard-core and soft-core Widom–Rowlinson models on Cayley trees

    S Kissel, C Külske, U A Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment201910 citations
    ABI

  5. Phase transitions for a model with uncountable set of spin values on a Cayley tree

    Yu. Kh. Èshkabilov, U. A. Rozikov, G. I. Botirov

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics201310 citations
    ABI

  6. Piecewise-smooth circle homeomorphisms with several break points

    Akhtam Dzhalilov, Dieter Mayer, Utkir Avlayarovich Safarov

    ArticleMathematical Dynamics and FractalsIzvestiya Mathematics20129 citations
    ABI

  7. Extremality of translation-invariant Gibbs measures for the Potts–SOS model on the Cayley tree

    M M Rahmatullaev, M A Rasulova

    ArticleTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment20219 citations
    ABI

  8. Holliday junctions in the Blume–Capel model of DNA

    N. M. Khatamov

    ArticleStochastic processes and statistical mechanicsTheoretical and Mathematical Physics20219 citations
    ABI

  9. 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

  10. On the ergodic principle for Markov and quadratic stochastic processes and its relations

    Nasir Ganikhodjaev, Hasan Akın, Farrukh Mukhamedov

    ArticleStochastic processes and financial applicationsLinear Algebra and its Applications20069 citations
    ABI

  11. A description of harmonic functions via properties of the group representation of the Cayley tree

    É. P. Normatov, U. A. Rozikov

    ArticleMathematical Dynamics and FractalsMathematical Notes20069 citations
    ABI

  12. Free energies of the Potts model on a Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20179 citations
    ABI

  13. Phase Transition and Critical Values of a Nearest-Neighbor System with Uncountable Local State Space on Cayley Trees

    Benedikt Jahnel, Christof Külske, G. I. Botirov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry20149 citations
    ABI

  14. On Long-Term Behavior of Continuous-Time Markov Branching Processes Allowing Immigration

    Азам А. Имомов

    ArticleStochastic processes and statistical mechanicsJournal of Siberian Federal University Mathematics & Physics20148 citations
    ABI

  15. On the convergence rate in one limit theorem for branching processes with immigration

    Ya. M. Khusanbaev

    ArticleStochastic processes and statistical mechanicsSiberian Mathematical Journal20148 citations
    ABI

  16. On asymptotic structure of critical Galton-Watson branching processes allowing immigration with infinite variance

    Азам А. Имомов, Erkin E. Tukhtaev

    ArticleStochastic processes and statistical mechanicsStochastic Models20228 citations
    ABI

  17. An Ising model with three competing interactions on a Cayley tree

    Nasir Ganikhodjaev, Chin Hee Pah, Mohamed Ridza Wahiddin

    ArticleStochastic processes and statistical mechanicsJournal of Mathematical Physics20048 citations
    ABI

  18. 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

  19. Periodic Gibbs Measures for the Potts-SOS Model on a Cayley Tree

    M. A. Rasulova

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20198 citations
    ABI

  20. The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model

    U. A. Rozikov, Р. М. Хакимов

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20128 citations
    ABI

  21. 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

  22. On new weakly periodic Gibbs measures of the Ising model on the Cayley tree of order ≤ 5

    M. M. Rahmatullaev

    ArticleTheoretical and Computational PhysicsJournal of Physics Conference Series20168 citations
    ABI

  23. Gibbs measures for the three-state SOS model with external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleTheoretical and Computational PhysicsPositivity20228 citations
    ABI

  24. On unordered phases of certain models on a Cayley tree

    Насир Набиевич Ганиходжаев, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsSbornik Mathematics19998 citations
    ABI

  25. Gibbs Periodic Measures for a Two-State HC-Model on a Cayley Tree

    U. A. Rozikov, R. M. Khakimov, M. T. Makhammadaliev

    ArticleTheoretical and Computational PhysicsJournal of Mathematical Sciences20247 citations
    ABI