Approximation of Bernoulli measures for non-uniformly hyperbolic systems

doi:10.1017/etds.2018.33

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	Approximation of Bernoulli measures for non-uniformly hyperbolic systems
	Liao, Gang 1; Sun, Wenxiang 2; Vargas, Edson 3; Wang, Shirou 4,5
	2020
发表期刊	ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN	0143-3857
卷号	40 期号:1 页码:233-247
摘要	An invariant measure is called a Bernoulli measure if the corresponding dynamics is isomorphic to a Bernoulli shift. We prove that for C1+alpha diffeomorphisms any weak mixing hyperbolic measure could be approximated by Bernoulli measures. This also holds true for C-1 diffeomorphisms preserving a weak mixing hyperbolic measure with respect to which the Oseledets decomposition is dominated.
DOI	10.1017/etds.2018.33
收录类别	SCI
语种	英语
资助项目	NSFC[11701402] ; NSFC[11790274] ; NSFC[11771026] ; NSFC[11471344] ; BK[20170327] ; Jiangsu province 'Double Plan' ; Fapesp[2015/20162-0] ; CNPq[310749/2015-8] ; PIMS PTCS ; PIMS CRG grant
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000500187000011
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/50354
专题	中国科学院数学与系统科学研究院
通讯作者	Liao, Gang
作者单位	1.Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, Brazil 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
推荐引用方式 GB/T 7714	Liao, Gang,Sun, Wenxiang,Vargas, Edson,et al. Approximation of Bernoulli measures for non-uniformly hyperbolic systems[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS,2020,40(1):233-247.
APA	Liao, Gang,Sun, Wenxiang,Vargas, Edson,&Wang, Shirou.(2020).Approximation of Bernoulli measures for non-uniformly hyperbolic systems.ERGODIC THEORY AND DYNAMICAL SYSTEMS,40(1),233-247.
MLA	Liao, Gang,et al."Approximation of Bernoulli measures for non-uniformly hyperbolic systems".ERGODIC THEORY AND DYNAMICAL SYSTEMS 40.1(2020):233-247.