Lyapunov operator L with degenerate kernel and Gibbs measures
https://doi.org/10.17586/22208054201785553558
Abstract
In this paper, we studied the fixed points of the Lyapunov operator with degenerate kernel, in which each fixed point of the operator is corresponds to a translationinvariant Gibbs measure with four competing interactions of models with uncountable set of spin values on the Cayley tree of order two. Also, it was proved that Lyapunov operator with degenerate kernel has at most three positive fixed points.
Keywords
About the Authors
Yu. Kh. EshkabilovUzbekistan
Kashkadarya
F. H. Haydarov
Uzbekistan
Tashkent
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Review
For citations:
Eshkabilov Yu.Kh., Haydarov F.H. Lyapunov operator L with degenerate kernel and Gibbs measures. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(5):553–558. https://doi.org/10.17586/22208054201785553558