Local Multifractal Analysis
Classical Analysis and ODEs
2012-09-19 v1 Dynamical Systems
Functional Analysis
Probability
Abstract
We introduce a local multifractal formalism adapted to functions, measures or distributions which display multifractal characteristics that can change with time, or location. We develop this formalism in a general framework and we work out several examples of measures and functions where this setting is relevant.
Cite
@article{arxiv.1209.3905,
title = {Local Multifractal Analysis},
author = {Julien Barral and Arnaud Durand and Stéphane Jaffard and Stéphane Seuret},
journal= {arXiv preprint arXiv:1209.3905},
year = {2012}
}
Comments
33 pages