Extremality of translation-invariant Gibbs measures for the $$\lambda$$-model on the binary Cayley tree
Farrukh MukhamedovDepartment of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain, Abu Dhabi, United Arab EmiratesM. M. RahmatullaevNamangan State University, Namangan, UzbekistanM. A. RasulovaNamangan State University, Namangan, Uzbekistan
ABI
Аннотация
We consider the $$\lambda$$ -model on the Cayley tree of order $$k=2$$ . Under some conditions, we study translation-invariant Gibbs measures. Moreover, we investigate whether these Gibbs measures are extremal or nonextremal in the set of all Gibbs measures.
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