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Theses

Sur les singularités oscillantes et le formalisme multifractal

Abstract : The purpose of multifractal analysis is to compute the dimension of the sets where a function has a given pointwise Holder regularity. This computation can't be done directly on real signals (signal of the velocity in fully developped turbulence...) and a formula called multifractal formalism has been introduced to compute these dimensions from quantities obtained directly by signal processing. It is not true in all generality and we study in these PHD several situations where the multifractal formalism doesn't hold.
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https://tel.archives-ouvertes.fr/tel-00002349
Contributor : Clothilde Melot <>
Submitted on : Tuesday, February 25, 2003 - 3:24:14 PM
Last modification on : Wednesday, September 11, 2019 - 5:18:02 PM
Long-term archiving on: : Friday, April 2, 2010 - 6:48:08 PM

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  • HAL Id : tel-00002349, version 1

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Clothilde Melot. Sur les singularités oscillantes et le formalisme multifractal. Mathématiques [math]. Université Paris XII Val de Marne, 2002. Français. ⟨tel-00002349⟩

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