Quasiconformal mappings that highly distort dimensions of many parallel lines
Metric Geometry
2016-01-28 v1
Abstract
We construct a quasiconformal mapping of -dimensional Euclidean space, , that simultaneously distorts the Hausdorff dimension of a nearly maximal collection of parallel lines by a given amount. This answers a question of Balogh, Monti, and Tyson.
Keywords
Cite
@article{arxiv.1601.07205,
title = {Quasiconformal mappings that highly distort dimensions of many parallel lines},
author = {Zoltán M. Balogh and Jeremy T. Tyson and Kevin Wildrick},
journal= {arXiv preprint arXiv:1601.07205},
year = {2016}
}
Comments
12 pages