THERMODYNAMICS OF FRACTAL SIGNALS BASED ON WAVELET ANALYSIS - APPLICATION TO FULLY-DEVELOPED TURBULENCE DATA AND DNA-SEQUENCES

Authors
ARNEODO A AUDIT B BACRY E MANNEVILLE S MUZY JF ROUX SG
Citation
A. Arneodo et al., THERMODYNAMICS OF FRACTAL SIGNALS BASED ON WAVELET ANALYSIS - APPLICATION TO FULLY-DEVELOPED TURBULENCE DATA AND DNA-SEQUENCES, Physica. A, 254(1-2), 1998, pp. 24-45
Citations number
178
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
254
Issue
1-2
Year of publication
1998
Pages
24 - 45
Database
ISI
SICI code
0378-4371(1998)254:1-2<24:TOFSBO>2.0.ZU;2-6
Abstract
We use the continuous wavelet transform to generalize the multifractal formalism to fractal functions. We report the results of recent appli cations of the so-called wavelet transform modulus maxima (WTMM) metho d to fully developed turbulence data and DNA sequences. We conclude by briefly describing some works currently under progress, which are lik ely to be the guidelines for future research. (C) 1998 Elsevier Scienc e B.V. All rights reserved.