Balogh, Zoltan; Tyson, Jeremy; Wildrick, Kevin Michael (2017). Quasiconformal mappings that highly distort dimensions of many parallel lines. Annales Academiae scientiarum Fennicae - mathematica, 42(1), pp. 61-72. Suomalainen Tiedeakatemia 10.5186/aasfm.2017.4206
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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.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Balogh, Zoltan, Tyson, Jeremy, Wildrick, Kevin Michael |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1239-629X |
Publisher: |
Suomalainen Tiedeakatemia |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
17 Apr 2018 10:05 |
Last Modified: |
01 Apr 2024 22:26 |
Publisher DOI: |
10.5186/aasfm.2017.4206 |
BORIS DOI: |
10.7892/boris.109137 |
URI: |
https://boris.unibe.ch/id/eprint/109137 |
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