On the dimension of visible parts

Orponen, Tuomas

doi:10.4171/JEMS/1230

dc.contributor.author	Orponen, Tuomas
dc.date.accessioned	2023-09-07T09:09:15Z
dc.date.available	2023-09-07T09:09:15Z
dc.date.issued	2023
dc.identifier.citation	Orponen, T. (2023). On the dimension of visible parts. <i>Journal of the European Mathematical Society</i>, <i>25</i>(5), 1969-1983. <a href="https://doi.org/10.4171/JEMS/1230" target="_blank">https://doi.org/10.4171/JEMS/1230</a>
dc.identifier.other	CONVID_117822708
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/88958
dc.description.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.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	European Mathematical Society - EMS - Publishing House GmbH
dc.relation.ispartofseries	Journal of the European Mathematical Society
dc.rights	CC BY 4.0
dc.subject.other	visible parts
dc.subject.other	Hausdorff dimension
dc.title	On the dimension of visible parts
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202309074991
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	1969-1983
dc.relation.issn	1435-9855
dc.relation.numberinseries	5
dc.relation.volume	25
dc.type.version	publishedVersion
dc.rights.copyright	© 2022 European Mathematical Society
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	mittateoria
dc.subject.yso	fraktaalit
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
jyx.subject.uri	http://www.yso.fi/onto/yso/p6341
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.4171/JEMS/1230
jyx.fundinginformation	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.
dc.type.okm	A1