On the dimension of visible parts
Abstract
I prove that the visible parts of a compact set in Rn, n≥2, have Hausdorff dimension at most n − 1/50n from almost every direction.
Main Author
Format
Articles
Research article
Published
2023
Series
Subjects
Publication in research information system
Publisher
European Mathematical Society - EMS - Publishing House GmbH
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202309074991Use this for linking
Review status
Peer reviewed
ISSN
1435-9855
DOI
https://doi.org/10.4171/JEMS/1230
Language
English
Published in
Journal of the European Mathematical Society
Citation
- Orponen, T. (2023). On the dimension of visible parts. Journal of the European Mathematical Society, 25(5), 1969-1983. https://doi.org/10.4171/JEMS/1230
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Additional information about funding
T.O. is supported by the Academy of Finland via the projects Quantitative rectifiability in Euclidean and non-Euclidean spaces and Incidences on Fractals, grant Nos. 309365, 314172, 321896. T.O. is also supported by the University of Helsinki via the project Quantitative rectifiability of sets and measures in Euclidean spaces and Heisenberg groups, project No. 7516125.
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