Asymptotically sharp dimension estimates for $k$-porous sets
Classical Analysis and ODEs
2017-01-31 v1
Abstract
In , we establish an asymptotically sharp upper bound for the upper Minkowski dimension of -porous sets having holes of certain size near every point in orthogonal directions at all small scales. This bound tends to as -porosity tends to its maximum value.
Cite
@article{arxiv.1701.08584,
title = {Asymptotically sharp dimension estimates for $k$-porous sets},
author = {Esa Järvenpää and Maarit Järvenpää and Antti Käenmäki and Ville Suomala},
journal= {arXiv preprint arXiv:1701.08584},
year = {2017}
}