Implementation of the Multifractal Formalism on Snu Spaces

A multifractal formalism is a formula, numerically computable, which approximate the spectrum of singularities of a function. The first multifractal formalism (Frisch and Parisi, 1985) has the main default is that it always leads to a concave spectrum. In 2004, Stéphane Jaffard has introduced a new multifractal formalism, based on the Snu spaces, which can detect non concave spectra.
In practice, one has to avoid the concept of limit and to deal with finite size effects. In this talk, I present the first results of an implementation of the multifractal formalism on Snu spaces on several theoretical functions.