MULTIFRACTAL FORMALISM FOR FUNCTIONS .2. SELF-SIMILAR FUNCTIONS

Authors
JAFFARD S
Citation
S. Jaffard, MULTIFRACTAL FORMALISM FOR FUNCTIONS .2. SELF-SIMILAR FUNCTIONS, SIAM journal on mathematical analysis, 28(4), 1997, pp. 971-998
Citations number
26
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
4
Year of publication
1997
Pages
971 - 998
Database
ISI
SICI code
0036-1410(1997)28:4<971:MFFF.S>2.0.ZU;2-D
Abstract
In this paper we introduce and study the self-similar functions. We pr ove 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 increas ing part of their spectrum or a part of it. One of these methods (the wavelet-maxima method) yields their complete spectrum.