Local dimensions of measures on self-affine sets
Metric Geometry
2011-05-13 v1 Dynamical Systems
Abstract
We show that, in a generic setting, self-affine and almost self-affine measures are exact dimensional, with local dimension equal almost everywhere to the information dimension and given by the zero of a superadditive pressure functional.
Keywords
Cite
@article{arxiv.1105.2411,
title = {Local dimensions of measures on self-affine sets},
author = {K. J. Falconer and Jun Jie Miao},
journal= {arXiv preprint arXiv:1105.2411},
year = {2011}
}