The aim of this paper is to provide several counter-examples to multifractal formalisms
based on the Legendre spectrum and on the large deviation spectrum. In particular these …

The multifractal formalisms allow to numerically approximate the Hölder spectrum of a real-
life signal f. In this thesis, we study some multifractal formalisms based on profiles: these are …

In this work, we introduce a generalization of the S ν S^ν spaces underlying a multifractal
formalism for non‐concave spectra. We prove among other things that the essential …

We modify the basic roughness grain exponent, only available for application of one single
series, to complexity-invariant distance (CID) for studying multifractal features between two …

In this work, we introduce a generalization of the Snu spaces underlying a multifractal
formalism for non-concave spectra. We prove among other things that the essential …

Recently, the scaling properties of the Mars topography have been analysed through the
Wavelet Leaders Method (WLM)[1]. The scalings of some signals (15%) departs significantly …