On measures resisting multifractal analysis
Dynamical Systems
2013-02-12 v1
Abstract
Any ergodic measure of a smooth map on a compact manifold has a multifractal spectrum with one point - the dimension of the measure itself - at the diagonal. We will construct examples where this fails in the most drastic way for invariant measures invariant under linear maps of the circle.
Cite
@article{arxiv.1302.2433,
title = {On measures resisting multifractal analysis},
author = {Jörg Schmeling and Stéphane Seuret},
journal= {arXiv preprint arXiv:1302.2433},
year = {2013}
}
Comments
14 pages, 1 figure. To appear