Multifractal analysis of complex random cascades

Details Multifractal analysis of complex random cascades Multifractal analysis of complex random cascades

2009-06-08

arxiv.org/abs/0906.1501v1

Physics

Mathematical Physics

37 pages, 8 figures

Scientific paper

We achieve the multifractal analysis of a class of complex valued statistically self-similar continuous functions. For we use multifractal formalisms associated with pointwise oscillation exponents of all orders. Our study exhibits new phenomena in multifractal analysis of continuous functions. In particular, we find examples of statistically self-similar such functions obeying the multifractal formalism and for which the support of the singularity spectrum is the whole interval $[0,\infty]$.

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