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

Farrukh MukhamedovDepartment of Mathematical Sciences, College of Science, The United Arab Emirates University, P.O. Box, 15551, Al Ain, Abu Dhabi, UAEChin Hee PahDepartment of Computational & Theoretical Sciences Faculty of Science, International Islamic University Malaysia, P.O. Box, 141, 25710, KuantanMuzaffar RahimatullaevInstitute of Mathematics, National University of Uzbekistan, 29, Do’rmon Yo’li str., Tashkent, 100125, UzbekistanHakim JamilDepartment of Computational & Theoretical Sciences Faculty of Science, International Islamic University Malaysia, P.O. Box, 141, 25710, Kuantan
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Аннотация

In this paper we consider the $\lambda$-model on the Cayley tree of order two. We describe periodic and weakly periodic ground states for the considered model.

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