ANALYSIS OF RANDOM CASCADES USING SPACE-SCALE CORRELATION-FUNCTIONS

Authors
ARNEODO A BACRY E MANNEVILLE S MUZY JF
Citation
A. Arneodo et al., ANALYSIS OF RANDOM CASCADES USING SPACE-SCALE CORRELATION-FUNCTIONS, Physical review letters, 80(4), 1998, pp. 708-711
Citations number
31
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
80
Issue
4
Year of publication
1998
Pages
708 - 711
Database
ISI
SICI code
0031-9007(1998)80:4<708:AORCUS>2.0.ZU;2-W
Abstract
We introduce a formalism that allows us to study space-scale correlati ons in multiscale processes. This method, based on the wavelet transfo rm, is particularly well suited to study multiplicative random cascade processes for which the correlation functions take a very simple expr ession. This two-point space-scale statistical analysis is illustrated on some pedagogical examples and then applied to fully developed turb ulence data. [S0031-9007(97)05105-3].