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Gibbs measures for the SOS model with four states on a Cayley tree

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Abstract

We analyze the SOS (solid-on-solid) model with spins 0, 1, 2, 3 on a Cayley tree of order k ≥ 1. We consider translation-invariant and periodic splitting Gibbs measures for this model. The majority of the constructed Gibbs measures are mirror symmetric.

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Authors and Affiliations

  1. Institute of Mathematics, Uzbek Academy of Sciences, Tashkent, Uzbekistan

    U. A. Rozikov & Sh. A. Shoyusupov

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  1. U. A. Rozikov
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  2. Sh. A. Shoyusupov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 149, No. 1, pp. 18–31, October, 2006.

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Rozikov, U.A., Shoyusupov, S.A. Gibbs measures for the SOS model with four states on a Cayley tree. Theor Math Phys 149, 1312–1323 (2006). https://doi.org/10.1007/s11232-006-0120-7

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  • DOI: https://doi.org/10.1007/s11232-006-0120-7

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