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Attractor of Cantor type with positive measure
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Morawiec, Janusz and Zürcher, Thomas (2018) Attractor of Cantor type with positive measure. Results in Mathematics, 73 . 67. doi:10.1007/s00025-018-0828-3 ISSN 1422-6383 .
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Official URL: https://doi.org/10.1007/s00025-018-0828-3
Abstract
We construct an iterated function system consisting of strictly increasing contractions f,g:[0,1]→[0,1] with f([0,1])∩g([0,1])=∅ and such that its attractor has positive Lebesgue measure.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Functional equations | ||||||||||||
Journal or Publication Title: | Results in Mathematics | ||||||||||||
Publisher: | Springer | ||||||||||||
ISSN: | 1422-6383 | ||||||||||||
Official Date: | June 2018 | ||||||||||||
Dates: |
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Volume: | 73 | ||||||||||||
Article Number: | 67 | ||||||||||||
DOI: | 10.1007/s00025-018-0828-3 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
Date of first compliant deposit: | 10 May 2018 | ||||||||||||
Date of first compliant Open Access: | 10 May 2018 | ||||||||||||
RIOXX Funder/Project Grant: |
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