Université de Lyon (92 rue Pasteur - CS 30122, 69361 Lyon Cedex 07 - France)
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.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00354520 Contributor : Stephane RouxConnect in order to contact the contributor 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
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⟩