Rigidity of Quasisymmetric Mappings on Self-affine Carpets

Käenmäki, Antti; Ojala, Tuomo; Rossi, Eino

doi:10.1093/imrn/rnw336

dc.contributor.author	Käenmäki, Antti
dc.contributor.author	Ojala, Tuomo
dc.contributor.author	Rossi, Eino
dc.date.accessioned	2018-06-18T07:34:16Z
dc.date.available	2018-06-18T07:34:16Z
dc.date.issued	2018
dc.identifier.citation	Käenmäki, A., Ojala, T., & Rossi, E. (2018). Rigidity of Quasisymmetric Mappings on Self-affine Carpets. <i>International Mathematics Research Notices</i>, <i>2018</i>(12), 3769-3799. <a href="https://doi.org/10.1093/imrn/rnw336" target="_blank">https://doi.org/10.1093/imrn/rnw336</a>
dc.identifier.other	CONVID_27044170
dc.identifier.other	TUTKAID_74011
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/58606
dc.description.abstract	We show that the class of quasisymmetric maps between horizontal self-affine carpets is rigid. Such maps can only exist when the dimensions of the carpets coincide, and in this case, the quasisymmetric maps are quasi-Lipschitz. We also show that horizontal self-affine carpets are minimal for the conformal Assouad dimension.	fi
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Oxford University Press
dc.relation.ispartofseries	International Mathematics Research Notices
dc.rights	In Copyright
dc.subject.other	quasisymmetric maps
dc.subject.other	self-affine carpets
dc.title	Rigidity of Quasisymmetric Mappings on Self-affine Carpets
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201806143219
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	2018-06-14T12:15:08Z
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	3769-3799
dc.relation.issn	1073-7928
dc.relation.numberinseries	12
dc.relation.volume	2018
dc.type.version	acceptedVersion
dc.rights.copyright	© The Author(s) 2017. Published by Oxford University Press. All rights reserved.
dc.rights.accesslevel	openAccess	fi
dc.format.content	fulltext
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1093/imrn/rnw336