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Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order \(k=2\)

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Abstract

We prove the existence of weakly periodic Gibbs measures for the Ising model on the Cayley tree of order \(k=2\) with respect to a normal divisor of index 4.

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Acknowledgments

The authors express their deep gratitude to Professor U. A. Rozikov for the useful advice.

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Correspondence to M. M. Rakhmatullaev.

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Rakhmatullaev, M.M., Dehqonov, J.D. Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order \(k=2\). Theor Math Phys 206, 185–198 (2021). https://doi.org/10.1134/S0040577921020069

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  • DOI: https://doi.org/10.1134/S0040577921020069

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