When is a dynamical system mean sensitive?

doi:10.1017/etds.2017.101

CSpace

	When is a dynamical system mean sensitive?
	Garcia-Ramos, Felipe 1,2; Li, Jie 3,4; Zhang, Ruifeng 5
	2019-06-01
发表期刊	ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN	0143-3857
卷号	39 页码:1608-1636
摘要	This article is devoted to studying which conditions imply that a topological dynamical system is mean sensitive and which do not. Among other things, we show that every uniquely ergodic, mixing system with positive entropy is mean sensitive. On the other hand, we provide an example of a transitive system which is cofinitely sensitive or Devaney chaotic with positive entropy but fails to be mean sensitive. As applications of our theory and examples, we negatively answer an open question regarding equicontinuity/sensitivity dichotomies raised by Tu, we introduce and present results of locally mean equicontinuous systems and we show that mean sensitivity of the induced hyperspace does not imply that of the phase space.
DOI	10.1017/etds.2017.101
语种	英语
资助项目	NSERC ; IMPA ; CAPES ; NNSF of China[11701231] ; NNSF of China[11371339] ; NNSF of China[11571335] ; NNSF of China[11171320] ; NNSF of China[11671094] ; NSF of Jiangsu Province[BK20170225] ; China Postdoctoral Science Foundation[2017M611026]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000470720700005
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34849
专题	中国科学院数学与系统科学研究院
通讯作者	Garcia-Ramos, Felipe
作者单位	1.Univ Autonoma San Luis Potosi, Inst Fis, Manuel Nava 6, Slp 78290, Mexico 2.Catedras CONACyT, Av Insurgentes Sur 1582, Mexico City 03940, DF, Mexico 3.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
推荐引用方式 GB/T 7714	Garcia-Ramos, Felipe,Li, Jie,Zhang, Ruifeng. When is a dynamical system mean sensitive?[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS,2019,39:1608-1636.
APA	Garcia-Ramos, Felipe,Li, Jie,&Zhang, Ruifeng.(2019).When is a dynamical system mean sensitive?.ERGODIC THEORY AND DYNAMICAL SYSTEMS,39,1608-1636.
MLA	Garcia-Ramos, Felipe,et al."When is a dynamical system mean sensitive?".ERGODIC THEORY AND DYNAMICAL SYSTEMS 39(2019):1608-1636.