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Semi-uniform sub-additive ergodic theorems for skew-product quasi-flows
Authors:Jin-ling Zhou
Affiliation:1. Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100190, China
Abstract:The aim of this paper is to extend the semi-uniform ergodic theorem and semi-uniform sub-additive ergodic theorem to skew-product quasi-flows. Furthermore, more strict inequalities about these two theorems are established. By making use of these results, it is feasible to get uniform estimation of the Lyapunov exponent of some special systems even under non-uniform hypotheses
Keywords:semi-uniform  sub-additive  ergodic theorem  skew-product quasi-flows
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