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The contribution of wavelets in multifractal analysis

Abstract : We show how wavelet techniques allow to derive irregularity properties of functions on two particular examples: Lacunary Fourier series and some Gaussian random processes. Then, we work out a general derivation of the multifractal formalism in the sequence setting, and derive some of its properties.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00354520
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Submitted on : Saturday, February 7, 2009 - 6:36:57 PM
Last modification on : Saturday, January 15, 2022 - 4:07:00 AM
Long-term archiving on: : Tuesday, June 8, 2010 - 8:55:41 PM

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  • HAL Id : ensl-00354520, version 1

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Stéphane Jaffard, Patrice Abry, Stéphane G. Roux, Béatrice Vedel, Herwig Wendt. The contribution of wavelets in multifractal analysis. The Zuhai Conference on Wavelets and Applications, Jul 2007, Zuhai, China. ⟨ensl-00354520⟩

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