A new metric for statistical properties of long time behaviors
文献类型：期刊论文
| 作者 | Zheng, Liqi1,2; Zheng, Zuohuan1,2,3
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| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2020-08-05 |
| 卷号 | 269期号:4页码:2741-2773 |
| 关键词 | Generic point Unique ergodicity Time average Weak mean equicontinuity |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2020.02.010 |
| 英文摘要 | Let (X, T) be a topological dynamical system with metric d. We define a new function F(x, y) = by using permutation group S-n. It's shown F(x, y) = exists when x, y. Xare generic points. Applying this function, we prove (X, T) is uniquely ergodic if and only if F(x, y) = 0 for any x, y. X. The characterizations of ergodic measures and physical measures by F(x, y) are given. We introduce the notion of weak mean equicontinuity and prove that (X, T) is weak mean equicontinuous if and only if the time averages are continuous for all f is an element of C(X). (c) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[11671382] ; CAS Key Project of Frontier Sciences[QYZDJ-SSW-JSC003] ; Key Lab. of Random Complex Structures and Data Sciences CAS ; National Center for Mathematics and Interdisplinary Sciences CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000534488300002 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51503]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zheng, Zuohuan |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zheng, Liqi,Zheng, Zuohuan. A new metric for statistical properties of long time behaviors[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,269(4):2741-2773. |
| APA | Zheng, Liqi,&Zheng, Zuohuan.(2020).A new metric for statistical properties of long time behaviors.JOURNAL OF DIFFERENTIAL EQUATIONS,269(4),2741-2773. |
| MLA | Zheng, Liqi,et al."A new metric for statistical properties of long time behaviors".JOURNAL OF DIFFERENTIAL EQUATIONS 269.4(2020):2741-2773. |
入库方式： OAI收割
来源：数学与系统科学研究院
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