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

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Abstract

For the Potts model with competing interactions, we describe the set of weakly periodic ground states corresponding to index-two normal divisors of the Cayley tree group representation. We also study some weakly periodic Gibbs measures.

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Authors and Affiliations

  1. Namangant State University, Namangant, Uzbekistan

    M. M. Rakhmatullaev

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  1. M. M. Rakhmatullaev
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Correspondence to M. M. Rakhmatullaev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 176, No. 3, pp. 477–493, September 2013.

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Rakhmatullaev, M.M. Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree. Theor Math Phys 176, 1236–1251 (2013). https://doi.org/10.1007/s11232-013-0103-4

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  • DOI: https://doi.org/10.1007/s11232-013-0103-4

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