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Работы, на которые ссылается эта работа

Работ: 27

Работа: Ground States and Gibbs Measures for the SOS Model with an External Field and Countable Set of Spin Values on a Cayley Tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Книга2013Цитирований: 174
    ABI

  2. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Книга2013Цитирований: 73
    ABI

  3. Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

    U. A. Rozikov, M. M. Rakhmatullaev

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2009Цитирований: 38
    ABI

  4. Potts model with competing interactions on the Cayley tree: The contour method

    G. I. Botirov, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsTheoretical and Mathematical Physics2007Цитирований: 22
    ABI

  5. A Constructive Description of Ground States and Gibbs Measures for Ising Model with Two-Step Interactions on Cayley Tree

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2006Цитирований: 22
    ABI

  6. On q-Component Models on Cayley Tree: Contour Method

    U. A. Rozikov

    Статья2005Цитирований: 20
    ABI

  7. On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding von Neumann Algebras

    Farrukh Mukhamedov, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2004Цитирований: 19
    ABI

  8. Phase diagrams of classical lattice systems

    С. А. Пирогов, Ya. G. Sinaǐ

    Статья1975Цитирований: 18
    ABI

  9. Evolution algebras generated by Gibbs measures

    U. A. Rozikov, Jianjun Paul Tian

    СтатьяAdvanced Topics in AlgebraLobachevskii Journal of Mathematics2011Цитирований: 11
    ABI

  10. New Normal Subgroups for the Group Representation of the Cayley Tree

    F. H. Haydarov

    СтатьяFinite Group Theory ResearchLobachevskii Journal of Mathematics2018Цитирований: 11
    ABI

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

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

    СтатьяTheoretical and Computational PhysicsLobachevskii Journal of Mathematics2013Цитирований: 10
    ABI

  12. On Ising's model of ferromagnetism

    R. Peierls

    Статья1936Цитирований: 9
    ABI

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

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    СтатьяTheoretical and Computational PhysicsPositivity2022Цитирований: 8
    ABI

  14. An alternate version of Pirogov-Sinai theory

    Miloš Zahradník

    Статья1984Цитирований: 7
    ABI

  15. The Boundary Condition Problems for the Three-State SOS Model on the Binary Tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    СтатьяTheoretical and Computational PhysicsLobachevskii Journal of Mathematics2023Цитирований: 7
    ABI

  16. On<i>q</i>-component models on the Cayley tree: the general case

    G. I. Botirov, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Mechanics Theory and Experiment2006Цитирований: 7
    ABI

  17. Ground states for the SOS model with an external field on the Cayley tree

    M. M. Rahmatullaev, M.R. Abdusalomova, M. A. Rasulova

    Статья2020Цитирований: 6
    ABI

  18. Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field

    Obid Sh. Karshiboev

    СтатьяQuantum chaos and dynamical systemsTheoretical and Mathematical Physics2022Цитирований: 5
    ABI

  19. Phase transition for the SOS model under inhomogeneous external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    СтатьяNonlinear Dynamics and Pattern FormationPhase Transitions2022Цитирований: 5
    ABI

  20. Ground states for the ising model with an external field on the Cayley tree

    M. M. Rakhmatullaev, M. A. Rasulova

    Статья2018Цитирований: 4
    ABI

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

    M. M. Rahmatullaev, M. A. Rasulova

    СтатьяTheoretical and Computational PhysicsLobachevskii Journal of Mathematics2024Цитирований: 3
    ABI

  22. System of recursive equations for the partition functions of 1D models

    U. A. Rozikov

    Статьяadvanced mathematical theoriesLobachevskii Journal of Mathematics2011Цитирований: 2
    ABI

  23. Без названия

    ДругоеЦитирований: 2
    ABI

  24. Без названия

    ДругоеЦитирований: 2
    ABI

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

    Farrukh Mukhamedov, Chin Hee Pah, Muzaffar Rahimatullaev +1

    СтатьяSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series2017Цитирований: 1
    ABI