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38 works

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

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    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201321 citations
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  2. The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree

    M. M. Rahmatullaev

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  3. A New Set of Limiting Gibbs Measures for the Ising Model on a Cayley Tree

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  4. On Free Energies of the Ising Model on the Cayley Tree

    D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics201313 citations
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  5. ON FREE ENERGIES OF THE ISING MODEL ON THE CAYLEY TREE

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    ArticleTheoretical and Computational Physics201613 citations
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  6. Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree

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    ArticleQuantum chaos and dynamical systemsSiberian Advances in Mathematics201612 citations
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  7. New weakly periodic Gibbs measures of Ising model on Cayley tree

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    ArticleOpinion Dynamics and Social InfluenceRussian Mathematics201512 citations
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  8. On Weakly Periodic Gibbs Measures for the Potts Model with External Field on the Cayley Tree

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    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20168 citations
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  9. The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model

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

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    ArticleTheoretical and Computational PhysicsJournal of Physics Conference Series20168 citations
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  11. Weakly Periodic Ground States for the λ-Model

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    ArticleTheoretical and Computational PhysicsUkrainian Mathematical Journal20205 citations
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  12. GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS

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  13. Invariance Property on Group Representations of the Cayley Tree and Its Applications

    F. H. Haydarov, U. A. Rozikov

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  14. Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree

    M. M. Rahmatullaev

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  15. Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $$k=2$$

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  16. Periodic and weakly periodic ground states corresponding to subgroups of index three for the ising model on cayley tree

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  17. Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree

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

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

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  20. A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree

    M. M. Rahmatullaev

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

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  22. $$H_A$$-Weakly Periodic $$p$$-Adic Generalized Gibbs Measures for the $$p$$-Adic Ising Model on the Cayley Tree of Order Two

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  23. Меры Гиббса для обобщенной модели Поттса с радиусом взаимодействия два на дереве Кэли

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  24. О слабо периодических мерах Гиббса модели Изинга с внешним полем на дереве Кэли

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

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