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Average distances on self-similar sets and higher order average distances of self-similar measures

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dc.contributor.authorAllen, D.
dc.contributor.authorEdwards, H.
dc.contributor.authorHarper, Scott
dc.contributor.authorOlsen, Lars Ole Ronnow
dc.date.accessioned2017-01-09T11:30:22Z
dc.date.available2017-01-09T11:30:22Z
dc.date.issued2017-10
dc.identifier.citationAllen , D , Edwards , H , Harper , S & Olsen , L O R 2017 , ' Average distances on self-similar sets and higher order average distances of self-similar measures ' , Mathematische Zeitschrift , vol. 287 , no. 1-2 , pp. 287-324 . https://doi.org/10.1007/s00209-016-1826-3en
dc.identifier.issn0025-5874
dc.identifier.otherPURE: 248185196
dc.identifier.otherPURE UUID: 3c72a5b0-0adc-4dbe-8529-0ec7916ffe47
dc.identifier.otherScopus: 85007425368
dc.identifier.otherORCID: /0000-0002-8353-044X/work/60630695
dc.identifier.otherWOS: 000409894400012
dc.identifier.otherORCID: /0000-0002-0056-2914/work/139156696
dc.identifier.urihttps://hdl.handle.net/10023/10069
dc.description.abstractThe purpose of this paper is twofold: (1) We study different notions of the average distance between two points of a self-similar subset of ℝ, and (2) we investigate the asymptotic behaviour of higher order average moments of self-similar measures on self-similar subsets of in ℝ.
dc.format.extent38
dc.language.isoeng
dc.relation.ispartofMathematische Zeitschriften
dc.rightsCopyright The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.en
dc.subjectSelf-similar seten
dc.subjectSelf-similar measuresen
dc.subjectAverage distanceen
dc.subjectMomentsen
dc.subjectMellin transformen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleAverage distances on self-similar sets and higher order average distances of self-similar measuresen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1007/s00209-016-1826-3
dc.description.statusPeer revieweden


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