Multifractal analysis of complex random cascades
Mathematical Physics
2015-05-13 v1 math.MP
Abstract
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 .
Keywords
Cite
@article{arxiv.0906.1501,
title = {Multifractal analysis of complex random cascades},
author = {Julien Barral and Xiong Jin},
journal= {arXiv preprint arXiv:0906.1501},
year = {2015}
}
Comments
37 pages, 8 figures