Phys. Rev. Lett. 80, 708–711 (1998)Analysis of Random Cascades Using Space-Scale Correlation FunctionsReceived 26 June 1997; published in the issue dated 26 January 1998 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. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.708
DOI:
10.1103/PhysRevLett.80.708
PACS:
47.27.Eq, 02.50.-r, 47.27.Jv, 47.53.+n
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