A Generalization of a Theorem of Liao
A Generalization of a Theorem of Liao
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DOI：
10.1007/s10114-005-0617-2
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
Xiongping Dai;Zuoling Zhou
中科院分区：
文献类型：
--
作者：
Xiongping Dai;Zuoling Zhou
LetXbe a metrizable space and let ϕ:ℝ ×X→Xbe a continuous flow onX. For any given {φt}–invariant Borel probability measure, this paper presents a {ϕt}–invariant Borel subset ofXsatisfying the requirements of the classical ergodic theorem for the continuous flow (X, {ϕt}). The set is more restrictive than the ones in the literature, but it might be more useful and convenient, particularly for non–uniformly hyperbolic systems and skew–product flows.
