INTEGRATED WAVELETS ON FRACTAL SETS .2. THE GENERALIZED DIMENSIONS

被引：15

作者：

GHEZ, JM ^{[1
]}

VAIENTI, S ^{[1
]}

机构：

[1] CTR PHYS THEOR,F-13288 MARSEILLE,FRANCE

来源：

NONLINEARITY | 1992年 / 5卷 / 03期

关键词：

D O I：

10.1088/0951-7715/5/3/011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the integrated wavelet transform, recently introduced to compute the correlation dimension of fractal sets, can be generalized to obtain the whole spectrum of generalized dimensions, The theoretical results are illustrated with numerical applications.

引用

页码：791 / 804

页数：14

共 50 条

[41] Generalized s-Convex Functions on Fractal Sets
Mo, Huixia
Sui, Xin
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[42] Estimates of the fractal and hausdorff dimensions of sets invariant under multimappings
V. S. Mel'nik
[J]. Mathematical Notes, 1998, 63 : 190 - 196
[43] On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets
Attia, Najmeddine
Selmi, Bilel
[J]. MATHEMATICS, 2023, 11 (06)
[44] Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings
Mel'nik, VS
[J]. MATHEMATICAL NOTES, 1998, 63 (1-2) : 190 - 196
[45] Investigations of smooth functions and analytic sets using fractal dimensions
D'Aniello, E
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2004, 7B (03): : 637 - 646
[46] WAVELETS OF THE IMMUNOFLUORESCENCE DISTRIBUTIONS; SHANNON ENTROPIES, THEIR CENTRAL MOMENTS AND FRACTAL DIMENSIONS FOR MEDICAL DIAGNOSTICS
Galich, Nikolay E.
[J]. MATERIALS PHYSICS AND MECHANICS, 2010, 9 (03): : 228 - 235
[47] Hausdorff dimensions of level sets of generalized Rademacher series
Xi, LF
Wu, M
[J]. PROGRESS IN NATURAL SCIENCE, 2001, 11 (07) : 550 - 556
[48] UNIVERSAL SCALING OF GENERALIZED DIMENSIONS ON CRITICAL STRANGE SETS
CAO, KF
PENG, SL
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (03): : 589 - 599
[49] Generalized dimensions of measures on self-affine sets
Falconer, KJ
[J]. NONLINEARITY, 1999, 12 (04) : 877 - 891
[50] Hausdorff dimensions of level sets of generalized Rademacher series
奚李峰
吴敏
[J]. Progress in Natural Science:Materials International, 2001, (07) : 72 - 78

← 1 2 3 4 5 →