M.: Multifractal formalism and anisotropic selfsimilar functions

Abstract In this paper we prove that the conjectures of Frisch and Parisi in [9] and Arneodo et al in [1] (called the multifractal formalism for functions) may fail for some non homogenous selfsimilar functions in m dimension, m 2. In these cases, we compute the correct spectrum of singularities and we show how the multifractal formalism must be modied