Uniform and Semi-uniform Convergence for Discontinuous Skew-product Transformation and Observation

doi:10.1007/s10114-021-9151-0

	Uniform and Semi-uniform Convergence for Discontinuous Skew-product Transformation and Observation
	Pan, Xia 2; Zheng, Zuo Huan 1,3,4; Zhou, Zhe 1,3
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	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
DOI	10.1007/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
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000617654000008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58137]
专题	中国科学院数学与系统科学研究院
通讯作者	Pan, Xia
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Natl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.