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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Stéphane Jaffard, Patrice Abry, Stéphane 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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