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dc.contributor.authorLe Donne, Enrico
dc.contributor.authorRajala, Tapio
dc.contributor.authorWalsberg, Erik
dc.date.accessioned2019-03-18T11:29:04Z
dc.date.available2019-03-18T11:29:04Z
dc.date.issued2018
dc.identifier.citationLe Donne, E., Rajala, T., & Walsberg, E. (2018). Isometric embeddings of snowflakes into finite-dimensional Banach spaces. <i>Proceedings of the American Mathematical Society</i>, <i>146</i>(2), 685-693. <a href="https://doi.org/10.1090/proc/13778" target="_blank">https://doi.org/10.1090/proc/13778</a>
dc.identifier.otherCONVID_27796618
dc.identifier.otherTUTKAID_76244
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/63200
dc.description.abstractWe consider a general notion of snowflake of a metric space by composing the distance with a nontrivial concave function. We prove that a snowflake of a metric space X isometrically embeds into some finite-dimensional normed space if and only if X is finite. In the case of power functions we give a uniform bound on the cardinality of X depending only on the power exponent and the dimension of the vector space.fi
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherAmerican Mathematical Society
dc.relation.ispartofseriesProceedings of the American Mathematical Society
dc.rightsCC BY-NC-ND 4.0
dc.subject.othermetriset avaruudetfi
dc.subject.othernormiavaruudetfi
dc.subject.otherfunktionaalianalyysifi
dc.subject.otherfraktaalitfi
dc.subject.othermetric spacesfi
dc.subject.othernormed spacesfi
dc.subject.otherfunctional analysisfi
dc.subject.otherfractalsfi
dc.titleIsometric embeddings of snowflakes into finite-dimensional Banach spaces
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201903121827
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2019-03-12T13:15:17Z
dc.description.reviewstatuspeerReviewed
dc.format.pagerange685-693
dc.relation.issn0002-9939
dc.relation.numberinseries2
dc.relation.volume146
dc.type.versionacceptedVersion
dc.rights.copyright© 2017 American Mathematical Society
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber288501
dc.relation.grantnumber274372
dc.subject.ysofunktionaalianalyysi
dc.subject.ysometriset avaruudet
dc.subject.ysonormiavaruudet
dc.subject.ysofraktaalit
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p17780
jyx.subject.urihttp://www.yso.fi/onto/yso/p27753
jyx.subject.urihttp://www.yso.fi/onto/yso/p19501
jyx.subject.urihttp://www.yso.fi/onto/yso/p6341
dc.rights.urlhttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi10.1090/proc/13778
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderAcademy of Finlanden
dc.relation.funderAcademy of Finlanden
jyx.fundingprogramAkatemiatutkijan tehtävä, SAfi
jyx.fundingprogramAkatemiatutkijan tehtävä, SAfi
jyx.fundingprogramResearch post as Academy Research Fellow, AoFen
jyx.fundingprogramResearch post as Academy Research Fellow, AoFen
jyx.fundinginformationThe first and second authors acknowledge the support of the Academy of Finland, projects no. 288501 and 274372 The third author acknowledges the support of the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013) / ERC Grant agreement no. 291111/ MODAG


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CC BY-NC-ND 4.0
Except where otherwise noted, this item's license is described as CC BY-NC-ND 4.0