Curve packing and modulus estimates

Fässler, Katrin; Orponen, Tuomas

doi:10.1090/tran/7175

dc.contributor.author	Fässler, Katrin
dc.contributor.author	Orponen, Tuomas
dc.date.accessioned	2018-10-16T10:09:04Z
dc.date.available	2018-10-16T10:09:04Z
dc.date.issued	2018
dc.identifier.citation	Fässler, K., & Orponen, T. (2018). Curve packing and modulus estimates. <i>Transactions of the American Mathematical Society</i>, <i>370</i>(7), 4909-4926. <a href="https://doi.org/10.1090/tran/7175" target="_blank">https://doi.org/10.1090/tran/7175</a>
dc.identifier.other	CONVID_28040837
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/59832
dc.description.abstract	A family of planar curves is called a Moser family if it contains an isometric copy of every rectifiable curve in R 2 of length one. The classical "worm problem" of L. Moser from 1966 asks for the least area covered by the curves in any Moser family. In 1979, J. M. Marstrand proved that the answer is not zero: the union of curves in a Moser family has always area at least c for some small absolute constant c > 0. We strengthen Marstrand’s result by showing that for p > 3, the p-modulus of a Moser family of curves is at least cp > 0.	fi
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	American Mathematical Society
dc.relation.ispartofseries	Transactions of the American Mathematical Society
dc.rights	In Copyright
dc.subject.other	conformal modulus
dc.subject.other	curve packing problems
dc.subject.other	Moser family
dc.title	Curve packing and modulus estimates
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-201810034316
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.date.updated	2018-10-03T09:15:10Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	4909-4926
dc.relation.issn	0002-9947
dc.relation.numberinseries	7
dc.relation.volume	370
dc.type.version	acceptedVersion
dc.rights.copyright	© 2018 American Mathematical Society
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.subject.yso	mittateoria
dc.subject.yso	potentiaaliteoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
jyx.subject.uri	http://www.yso.fi/onto/yso/p18911
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1090/tran/7175
dc.type.okm	A1