MULTIFRACTAL FORMALISM FOR FUNCTIONS

被引：0

作者：

JAFFARD, S

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1993年 / 317卷 / 08期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the multifractal formalism for functions generally only yields an upper bound for the spectrum of singularities, but it is exact for selfsimilar functions.

引用

页码：745 / 750

页数：6

共 16 条

[1] ADAM RA, 1978, SOBOLEV SPACES
[2] ARNEODO A, 1991, WAVELET ANAL FRACTAL
[3] BACRY E, 1991, SINGULARITY SPECTRUM
[4] BROWN G, 1991, MULTIFRACTAL ANAL ME
[5] FALKONER I, 1990, FRACTAL GEOMETRY
[6] FRISCH U, FULLY DEV TURBULENCE
[7] FRACTALS AND SELF SIMILARITY
HUTCHINSON, JE
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (05) : 713 - 747
[8] JAFFARD S, 1992, CR ACAD SCI I-MATH, V315, P19
[9] JAFFARD S, 1991, PUBL MAT, V35, P155, DOI DOI 10.5565/PUBLMAT_35191_06
[10] JAFFARD S, 1991, CR ACAD SCI I-MATH, V314, P31

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