Abstract
We introduce a formalism that allows us to study space-scale correlations in multiscale processes. This method, based on the wavelet transform, is particularly well suited to study multiplicative random cascade processes for which the correlation functions take a very simple expression. This two-point space-scale statistical analysis is illustrated on some pedagogical examples and then applied to fully developed turbulence data.
- Received 26 June 1997
DOI:https://doi.org/10.1103/PhysRevLett.80.708
©1998 American Physical Society