The singularity spectrum f(alpha) of some Moran fractals
文献类型：期刊论文
| 作者 | Wu, M |
| 刊名 | MONATSHEFTE FUR MATHEMATIK
 |
| 出版日期 | 2005-02-01 |
| 卷号 | 144期号:2页码:141-155 |
| 关键词 | singularity spectrum multifractal decomposition Moran fractal |
| ISSN号 | 0026-9255 |
| DOI | 10.1007/s00605-004-0254-3 |
| 英文摘要 | We show that the multifractal decomposition behaves as expected for a family of sets E known as homogeneous Moran fractals associated with the Fibonacci sequence omega, using probability measures mu(omega) associated with the Fibonacci sequence omega. For each value of a parameter alpha is an element of (alpha(min), alpha(max)), we define 'multifractal components' E-alpha of E, and show that they are fractals in the sense of Taylor. We give the explicit formula for the dimension of E-alpha. Also our method can be used for the Moran fractals associated with some more general sequences. |
| 语种 | 英语 |
| WOS记录号 | WOS:000227782700004 |
| 出版者 | SPRINGER WIEN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1980]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wu, M |
| 作者单位 | 1.S China Univ Technol, Dept Appl Math, Guangzhou 510640, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, M. The singularity spectrum f(alpha) of some Moran fractals[J]. MONATSHEFTE FUR MATHEMATIK,2005,144(2):141-155. |
| APA | Wu, M.(2005).The singularity spectrum f(alpha) of some Moran fractals.MONATSHEFTE FUR MATHEMATIK,144(2),141-155. |
| MLA | Wu, M."The singularity spectrum f(alpha) of some Moran fractals".MONATSHEFTE FUR MATHEMATIK 144.2(2005):141-155. |
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。