Multifractal formalism for functions .2. Self-similar functions

被引：81

作者：

Jaffard, S ^{[1
]}

机构：

[1] UNIV PARIS 12,FAC SCI & TECHNOL,DEPT MATH,F-94010 CRETEIL,FRANCE

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1997年 / 28卷 / 04期

关键词：

multifractal formalism; self-similarity; wavelet transform;

D O I：

10.1137/S0036141095283005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce and study the self-similar functions. We prove that these functions have a concave spectrum (increasing and then decreasing) and that the different formulas that were proposed for the multifractal formalism allow us to determine either the whole increasing part of their spectrum or a part of it. One of these methods (the wavelet-maxima method) yields their complete spectrum.

引用

页码：971 / 998

页数：28

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