Multifractal formalism for self-similar functions under the action of nonlinear dynamical systems

被引：19
|
作者：
Ben Slimane, M [1 ]
机构：
[1] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
来源：
CONSTRUCTIVE APPROXIMATION | 1999年 / 15卷 / 02期
关键词：
Holder exponent; Besov's "smoothness" index; Hausdorff dimensions; spectrum of singularities; wavelets; multifractal formalism; nonlinear self-similar functions;
D O I：
10.1007/s003659900105
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study functions which are self-similar under the action of some nonlinear dynamical systems. We compute the exact pointwise Holder regularity, then we determine the spectrum of singularities and the Besov "smoothness" index, and finally we prove the multifractal formalism. The main tool in our computation is the wavelet analysis.
引用
收藏
页码：209 / 240
页数：32
相关论文
共 50 条
12345