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.
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页数：14
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