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Positive fixed points of Lyapunov operator

Rasul GanikhodjaevNational University of Uzbekistan, 100174, Tashkent, UzbekistanR.R. KucharovNational University of Uzbekistan, 100174, Tashkent, UzbekistanK.A. AralovaNational University of Uzbekistan, 100174, Tashkent, Uzbekistan
ABI

Abstract

In this paper, fixed points of Lyapunov integral equation are found and considered the connections between Gibbs measures for four competing interactions of models with uncountable (i.e. [0, 1]) set of spin values on the Cayley tree of order two.

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