Thermodynamics of fractal signals based on wavelet analysis: application to fully developed turbulence data and DNA sequences

被引：37

作者：

Arneodo, A

Audit, B

Bacry, E

Manneville, S

Muzy, JF

Roux, SG

机构：

[1] Ctr Rech Paul Pascal, F-33600 Pessac, France

[2] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1998年 / 254卷 / 1-2期

关键词：

D O I：

10.1016/S0378-4371(98)00002-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use the continuous wavelet transform to generalize the multifractal formalism to fractal functions. We report the results of recent applications of the so-called wavelet transform modulus maxima (WTMM) method to fully developed turbulence data and DNA sequences. We conclude by briefly describing some works currently under progress, which are likely to be the guidelines for future research. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：24 / 45

页数：22

共 178 条

[1] MEASURING MULTIFRACTALS [J].

AHARONY, A .

PHYSICA D, 1989, 38 (1-3) :1-4

[2] DYNAMICAL MODEL FOR DNA-SEQUENCES [J].

ALLEGRINI, P ;

BARBI, M ;

GRIGOLINI, P ;

WEST, BJ .

PHYSICAL REVIEW E, 1995, 52 (05) :5281-5296

[3]

[Anonymous], 1993, Ten Lectures of Wavelets

[4]

[Anonymous], 1988, FRACTAL EVERYWHERE

[5]

[Anonymous], RANDOM FLUCTUATIONS

[6] HIGH-ORDER VELOCITY STRUCTURE FUNCTIONS IN TURBULENT SHEAR FLOWS [J].

ANSELMET, F ;

GAGNE, Y ;

HOPFINGER, EJ ;

ANTONIA, RA .

JOURNAL OF FLUID MECHANICS, 1984, 140 (MAR) :63-89

[7] WAVELET ANALYSIS OF TURBULENCE REVEALS THE MULTIFRACTAL NATURE OF THE RICHARDSON CASCADE [J].

ARGOUL, F ;

ARNEODO, A ;

GRASSEAU, G ;

GAGNE, Y ;

HOPFINGER, EJ ;

FRISCH, U .

NATURE, 1989, 338 (6210) :51-53

[8] WAVELET TRANSFORM OF FRACTAL AGGREGATES [J].

ARGOUL, F ;

ARNEODO, A ;

ELEZGARAY, J ;

GRASSEAU, G ;

MURENZI, R .

PHYSICS LETTERS A, 1989, 135 (6-7) :327-336

[9] WAVELET ANALYSIS OF THE SELF-SIMILARITY OF DIFFUSION-LIMITED AGGREGATES AND ELECTRODEPOSITION CLUSTERS [J].

ARGOUL, F ;

ARNEODO, A ;

ELEZGARAY, J ;

GRASSEAU, G .

PHYSICAL REVIEW A, 1990, 41 (10) :5537-5560

[10] OSCILLATING SINGULARITIES IN LOCALLY SELF-SIMILAR FUNCTIONS [J].

ARNEODO, A ;

BACRY, E ;

MUZY, JF .

PHYSICAL REVIEW LETTERS, 1995, 74 (24) :4823-4826

← 1 2 3 4 5 6 7 8 9 10 →