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Approximation of Bernoulli measures for non-uniformly hyperbolic systems

文献类型：期刊论文

作者Liao, Gang1; Sun, Wenxiang2; Vargas, Edson3; Wang, Shirou4,5
刊名ERGODIC THEORY AND DYNAMICAL SYSTEMS
出版日期2020
卷号40期号:1页码:233-247
ISSN号0143-3857
DOI10.1017/etds.2018.33
英文摘要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.
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
语种英语
WOS记录号WOS:000500187000011
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50353]  
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.

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来源：数学与系统科学研究院

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