We study an HC-model on a Cayley tree. Under certain restrictions imposed on the parameters of the HC-model, we prove the existence of weakly periodic (nonperiodic) Gibbs measures for a normal divisor of index four.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 10, pp. 1409–1422, October, 2015.
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Khakimov, R.M. Weakly Periodic Gibbs Measures in the HC-Model for a Normal Divisor of Index Four. Ukr Math J 67, 1584–1598 (2016). https://doi.org/10.1007/s11253-016-1174-9
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DOI: https://doi.org/10.1007/s11253-016-1174-9