Multifractal formalism for almost all self-affine measures
Classical Analysis and ODEs
2012-10-18 v2
Abstract
We conduct the multifractal analysis of self-affine measures for "almost all" family of affine maps. Besides partially extending Falconer's formula of -spectrum outside the range , the multifractal formalism is also partially verified.
Cite
@article{arxiv.1110.6578,
title = {Multifractal formalism for almost all self-affine measures},
author = {Julien Barral and De-Jun Feng},
journal= {arXiv preprint arXiv:1110.6578},
year = {2012}
}
Comments
Accepted by Comm. Math. Phys