Dimension, entropy, and the local distribution of measures
Classical Analysis and ODEs
2015-02-03 v2 Dynamical Systems
Abstract
We present a general approach to the study of the local distribution of measures on Euclidean spaces, based on local entropy averages. As concrete applications, we unify, generalize, and simplify a number of recent results on local homogeneity, porosity and conical densities of measures.
Keywords
Cite
@article{arxiv.1110.6011,
title = {Dimension, entropy, and the local distribution of measures},
author = {Tuomas Sahlsten and Pablo Shmerkin and Ville Suomala},
journal= {arXiv preprint arXiv:1110.6011},
year = {2015}
}
Comments
v2: 23 pages, 6 figures. Updated references. Accepted to J. London Math. Soc