Article

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

Journal of Physics Conference Seriesjournal2017en

ABI

Abstract

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.

Topics

Spectral Theory in Mathematical Physics Stochastic processes and statistical mechanics advanced mathematical theories

Identifiers

DOI: 10.1088/1742-6596/949/1/012021

Citations and references

Cited by 1 12 references

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