A WAVELET MULTIFRACTAL FORMALISM FOR SIMULTANEOUS SINGULARITIES OF FUNCTIONS

被引：6

作者：

Aouidi, Jamil ^{[1
]}

Ben Mabrouk, Anouar ^{[2
]}

Ben Slimane, Mourad ^{[3
]}

机构：

[1] Preparatory Inst Mil Acad, Dept Math, Sousse 4029, Tunisia

[2] Fac Sci, Dept Math, Computat Math Lab, Monastir 5000, Tunisia

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2014年 / 12卷 / 01期

关键词：

Holder regularity; Hausdorff dimension; multi-fractal formalism; wavelets; self similar functions; DIVERGENCE POINTS; SPECTRUM; SETS;

D O I：

10.1142/S021969131450009X

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, a wavelet multifractal analysis is developed which permits to characterize simultaneous singularities for a vector of functions. An associated multifractal formalism is introduced and checked for the case of functions involving self similar aspects.

引用

页数：14

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