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Analysis of Random Cascades Using Space-Scale Correlation Functions

A. Arneodo1, E. Bacry2, S. Manneville1, and J. F. Muzy1

  • 1Centre de Recherche Paul Pascal, CNRS UPR 8641, Université de Bordeaux I, Avenue Schweitzer, 33600 Pessac, France
  • 2Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau, France

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Phys. Rev. Lett. 80, 708 – Published 26 January, 1998

DOI: https://doi.org/10.1103/PhysRevLett.80.708

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.

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Outline

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Phys. Rev. Lett. 80, 708– Published 26 January, 1998
  • Received 26 June 1997

© 1998 American Physical Society

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