Mathematical Proceedings of the Cambridge Philosophical Society
In this paper we prove that the conjectures of Frisch and Parisi and Arneodo et al. (called the multifractal formalism for functions) may fail for some non-homogeneous selfsimilar functions on ℝ2. In these cases, we compute the correct spectrum of singularities and we show how the multifractal formalism must be modified.
Email your librarian or administrator to recommend adding this journal to your organisation's collection.