Furstenberg families, sensitivity and the space of probability measures
文献类型：期刊论文
| 作者 | Li, Jie1,2; Oprocha, Piotr3,4; Wu, Xinxing5,6 |
| 刊名 | NONLINEARITY
 |
| 出版日期 | 2017-03-01 |
| 卷号 | 30期号:3页码:987-1005 |
| 关键词 | Induced space F-sensitivity multi-sensitivity Li-Yorke sensitivity |
| ISSN号 | 0951-7715 |
| DOI | 10.1088/1361-6544/aa5495 |
| 英文摘要 | In this paper we study relations of various types of sensitivity between a t.d.s. (X, T) and t.d.s. (M(X), T-M) induced by (X, T) on the space of probability measures. Among other results, we prove that F -sensitivity of (M(X), TM) implies the same of (X, T) and the converse is also true when F is a filter. We show that (X, T) is multi-sensitive if and only if so is (M(X), TM) and that (X, T) is F -sensitive if and only if (M-n(X), T-M) is F -sensitive (for some/all n is an element of N). We finish the paper providing an example of a minimal syndetically sensitive t.d.s. or a Li-Yorke sensitive t.d.s. such that induced t.d.s. fails to be sensitive. |
| 资助项目 | NNSF of China[11371339] ; NNSF of China[11571335] ; project 'IT4Innovations excellence in science'[LQ1602] ; National Natural Science Foundation of China[11601449] ; National Natural Science Foundation of China[61601306] ; scientific research starting project of Southwest Petroleum University[2015QHZ029] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000394514800001 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24783]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Jie |
| 作者单位 | 1.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.AGH Univ Sci & Technol, Fac Appl Math, Al A Mickiewicza 30, PL-30059 Krakow, Poland 4.Div Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, Natl Supercomp Ctr IT4Innovat, 30 Dubna 22, Ostrava 70103, Czech Republic 5.Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China 6.Southwest Petr Univ, Inst Nonlinear Dynam, Chengdu 610500, Sichuan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jie,Oprocha, Piotr,Wu, Xinxing. Furstenberg families, sensitivity and the space of probability measures[J]. NONLINEARITY,2017,30(3):987-1005. |
| APA | Li, Jie,Oprocha, Piotr,&Wu, Xinxing.(2017).Furstenberg families, sensitivity and the space of probability measures.NONLINEARITY,30(3),987-1005. |
| MLA | Li, Jie,et al."Furstenberg families, sensitivity and the space of probability measures".NONLINEARITY 30.3(2017):987-1005. |
入库方式： OAI收割
来源：数学与系统科学研究院
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