Quasiconformal mappings that highly distort dimensions of many parallel lines
Publisher DOI
Abstract
We construct a quasiconformal mapping of Rn, n ≥ 2, 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.
Date Issued
2017
Publication Type
Article
Subject(s)
Language(s)
en
Additional Credits
Journal
Annales Academiae scientiarum Fennicae - mathematica
Publisher
Suomalainen Tiedeakatemia
ISSN
1239-629X
Access(Rights)
open.access