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arXiv · 1708.06902

Fixed points of Lyapunov integral operators and Gibbs measures

F. H. Haydarov
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Abstract

In this paper we shall consider the connections between Lyapunov integral operators and Gibbs measures for four competing interactions of models with uncountable (i.e. $[0,1]$) set of spin values on a Cayley tree. And we shall prove the existence of fixed points of Lyapunov integral operators and give a condition of uniqueness of fixed points.

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F. H. Haydarov. 2017-08-23. Fixed points of Lyapunov integral operators and Gibbs measures. https://arxiv.org/abs/1708.06902

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