The singularity spectrum f(alpha) of some Moran fractals

doi:10.1007/s00605-004-0254-3

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	The singularity spectrum f(alpha) of some Moran fractals
	Wu, M
	2005-02-01
发表期刊	MONATSHEFTE FUR MATHEMATIK
ISSN	0026-9255
卷号	144 期号:2 页码:141-155
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.
关键词	singularity spectrum multifractal decomposition Moran fractal
DOI	10.1007/s00605-004-0254-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000227782700004
出版者	SPRINGER WIEN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1981
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.