Asymptotic Hausdorff dimensions of Cantor sets associated with an asymptotically non-hyperbolic family
文献类型：期刊论文
| 作者 | Fan, AH; Jiang, YP; Wu, J |
| 刊名 | ERGODIC THEORY AND DYNAMICAL SYSTEMS
 |
| 出版日期 | 2005-12-01 |
| 卷号 | 25页码:1799-1808 |
| ISSN号 | 0143-3857 |
| DOI | 10.1017/S014338570500009X |
| 英文摘要 | The geometry of Cantor systems associated with an asymptotically non-hyperbolic family (f(epsilon))0 <=epsilon <=epsilon(0) was studied by Jiang (Geometry of Cantor systems. Trans. Amer Math. Soc. 351 (1999), 1975-1987). By applying the geometry studied there, we prove that the Hausdorff dimension of the maximal invariant set of f(epsilon), behaves like 1-K epsilon(1/gamma) asymptotically, as was conjectured by Jiang (Generalized Ulam-von Neumann transformations. PhD Thesis, CUNY Graduate Center, May 1999). |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000233718500006 |
| 出版者 | CAMBRIDGE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1249]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Fan, AH |
| 作者单位 | 1.Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China 2.Univ Picardie, CNRS, UMR 6140, LAMFA, F-80039 Amiens, France 3.CUNY Queens Coll, Dept Math, Flushing, NY 11367 USA 4.CUNY, Grad Sch, Dept Math, New York, NY 10016 USA 5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fan, AH,Jiang, YP,Wu, J. Asymptotic Hausdorff dimensions of Cantor sets associated with an asymptotically non-hyperbolic family[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS,2005,25:1799-1808. |
| APA | Fan, AH,Jiang, YP,&Wu, J.(2005).Asymptotic Hausdorff dimensions of Cantor sets associated with an asymptotically non-hyperbolic family.ERGODIC THEORY AND DYNAMICAL SYSTEMS,25,1799-1808. |
| MLA | Fan, AH,et al."Asymptotic Hausdorff dimensions of Cantor sets associated with an asymptotically non-hyperbolic family".ERGODIC THEORY AND DYNAMICAL SYSTEMS 25(2005):1799-1808. |
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。