Visibility for self-similar sets of dimension one in the plane
Classical Analysis and ODEs
2011-07-20 v1
Abstract
We prove that a purely unrectifiable self-similar set of finite 1-dimensional Hausdorff measure in the plane, satisfying the Open Set Condition, has radial projection of zero length from every point.
Keywords
Cite
@article{arxiv.math/0510342,
title = {Visibility for self-similar sets of dimension one in the plane},
author = {Károly Simon and Boris Solomyak},
journal= {arXiv preprint arXiv:math/0510342},
year = {2011}
}
Comments
12 pages, 2 figures