The structure on invariant measures of C (1) generic diffeomorphisms
文献类型：期刊论文
| 作者 | Sun Wen Xiang2; Tian Xue Ting1 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2012 |
| 卷号 | 28期号:4页码:817-824 |
| 关键词 | UNIFORM HYPERBOLICITY Generic property invariant measure and periodic measure hyperbolic basic set topologically transitive irregular point |
| ISSN号 | 1439-8516 |
| 其他题名 | The Structure on Invariant Measures of C1 Generic Diffeomorphisms |
| 英文摘要 | Let I > be an isolated non-trivial transitive set of a C (1) generic diffeomorphism f a Diff(M). We show that the space of invariant measures supported on I > coincides with the space of accumulation measures of time averages on one orbit. Moreover, the set of points having this property is residual in I > (which implies that the set of irregular(+) points is also residual in I >). As an application, we show that the non-uniform hyperbolicity of irregular(+) points in I > with totally 0 measure (resp., the non-uniform hyperbolicity of a generic subset in I >) determines the uniform hyperbolicity of I >. |
| 资助项目 | [National Natural Science Foundation] ; [CAPES (Brazil)] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4510401 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/53007]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.北京大学 |
| 推荐引用方式 GB/T 7714 | Sun Wen Xiang,Tian Xue Ting. The structure on invariant measures of C (1) generic diffeomorphisms[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2012,28(4):817-824. |
| APA | Sun Wen Xiang,&Tian Xue Ting.(2012).The structure on invariant measures of C (1) generic diffeomorphisms.ACTA MATHEMATICA SINICA-ENGLISH SERIES,28(4),817-824. |
| MLA | Sun Wen Xiang,et al."The structure on invariant measures of C (1) generic diffeomorphisms".ACTA MATHEMATICA SINICA-ENGLISH SERIES 28.4(2012):817-824. |
入库方式： OAI收割
来源：数学与系统科学研究院
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