Banach upper density recurrent points of C0-flows
Banach upper density recurrent points of C0-flows
复制标题
DOI：
10.1007/s10114-016-5420-8
复制
发表时间：
2016-10
期刊：
影响因子：
--
通讯作者：
Q. Yan;Jiandong Yin;Ballesteros Marnellie;Wei Ling Wu
中科院分区：
文献类型：
--
作者：
Q. Yan;Jiandong Yin;Ballesteros Marnellie;Wei Ling Wu
LetXdenote a compact metric space with distancedandF:X× ℝ →XorFt:X→Xdenote aC0-flow. From the point of view of ergodic theory, all important dynamical behaviors take place on a full measure set. The aim of this paper is to introduce the notion of Banach upper density recurrent points and to show that the closure of the set of all Banach upper density recurrent points equals the measure center or the minimal center of attraction for aC0-flow. Moreover, we give an example to show that the set of quasi-weakly almost periodic points can be included properly in the set of Banach upper density recurrent points, and point out that the set of Banach upper density recurrent points can be included properly in the set of recurrent points.
