中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 应用数学研究所
Uniform and Semi-uniform Convergence for Discontinuous Skew-product Transformation and Observation

文献类型：期刊论文

作者Pan, Xia1; Zheng, Zuo Huan2,3,4; Zhou, Zhe2,3
刊名ACTA MATHEMATICA SINICA-ENGLISH SERIES
出版日期2021-02-01
卷号37期号:2页码:333-344
关键词Skew-product transformation uniform ergodicity semi-uniform ergodicity
ISSN号1439-8516
DOI10.1007/s10114-021-9151-0
英文摘要In this paper, for a discontinuous skew-product transformation with the integrable observation function, we obtain uniform ergodic theorem and semi-uniform ergodic theorem. The main assumptions are that discontinuity sets of transformation and observation function are ignorable in some measure-theoretical sense. The theorems extend the classical results which have been established for continuous transformations and continuous observation functions.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000617654000008
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58137]  
专题应用数学研究所
通讯作者Pan, Xia
作者单位1.Natl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China
推荐引用方式
GB/T 7714		 Pan, Xia,Zheng, Zuo Huan,Zhou, Zhe. Uniform and Semi-uniform Convergence for Discontinuous Skew-product Transformation and Observation[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2021,37(2):333-344.
APA Pan, Xia,Zheng, Zuo Huan,&Zhou, Zhe.(2021).Uniform and Semi-uniform Convergence for Discontinuous Skew-product Transformation and Observation.ACTA MATHEMATICA SINICA-ENGLISH SERIES,37(2),333-344.
MLA Pan, Xia,et al."Uniform and Semi-uniform Convergence for Discontinuous Skew-product Transformation and Observation".ACTA MATHEMATICA SINICA-ENGLISH SERIES 37.2(2021):333-344.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。