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.
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⟩
