2009•Unpublished venueRequires access

Multifractal analysis of complex random cascades

Julien Barral, Xiong Jin

Abstract

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 [0, ∞]. 1.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 20 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Multifractal system, Pointwise, Rotation formalisms in three dimensions, Statistical physics, Mathematics, Singularity, Fractal, Formalism (music)