Local multifractal analysis in metric spaces
Classical Analysis and ODEs
2017-02-03 v2 Dynamical Systems
Metric Geometry
Abstract
We study the local dimensions and local multifractal properties of measures on doubling metric spaces. Our aim is twofold. On one hand, we show that there are plenty of multifractal type measures in all metric spaces which satisfy only mild regularity conditions. On the other hand, we consider a local spectrum that can be used to gain finer information on the local behaviour of measures than its global counterpart.
Cite
@article{arxiv.1209.3648,
title = {Local multifractal analysis in metric spaces},
author = {Antti Käenmäki and Tapio Rajala and Ville Suomala},
journal= {arXiv preprint arXiv:1209.3648},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1003.2895