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Работы, на которые ссылается эта работа

Работ: 19

Работа: Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree

  1. Gibbs Measures on Cayley Trees

    U. A. Rozikov

    Книга2013Цитирований: 174
    ABI

  2. Gibbs States on Countable Sets

    Christopher J. Preston

    Книга1974Цитирований: 104
    ABI

  3. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Книга2013Цитирований: 73
    ABI

  4. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Статья1983Цитирований: 42
    ABI

  5. 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

  6. 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

  7. 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

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

    U. A. Rozikov

    Статья2005Цитирований: 20
    ABI

  9. On Ising Model with Four Competing Interactions on Cayley Tree

    Nasir Ganikhodjaev, U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry2009Цитирований: 19
    ABI

  10. 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

  11. Phase diagrams of classical lattice systems

    С. А. Пирогов, Ya. G. Sinaǐ

    Статья1975Цитирований: 18
    ABI

  12. A Contour Method on Cayley Trees

    U. A. Rozikov

    СтатьяTheoretical and Computational PhysicsJournal of Statistical Physics2007Цитирований: 16
    ABI

  13. On Ising's model of ferromagnetism

    R. Peierls

    Статья1936Цитирований: 9
    ABI

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

    Nasir Ganikhodjaev, Chin Hee Pah, Mohamed Ridza Wahiddin

    СтатьяStochastic processes and statistical mechanicsJournal of Mathematical Physics2004Цитирований: 8
    ABI

  15. An alternate version of Pirogov-Sinai theory

    Miloš Zahradník

    Статья1984Цитирований: 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. Extremal Inhomogeneous Gibbs States for SOS-Models and Finite-Spin Models on Trees

    Loren Coquille, Christof Külske, Arnaud Le Ny

    Статья2023Цитирований: 6
    ABI

  18. Periodic Gibbs Measures for the Ising Model with Competing Interactions

    Kh. A. Nazarov, U. A. Rozikov

    СтатьяOpinion Dynamics and Social InfluenceTheoretical and Mathematical Physics2003Цитирований: 5
    ABI

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

    M. M. Rakhmatullaev, M. A. Rasulova

    Статья2018Цитирований: 4
    ABI