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dc.contributor.authorOlsen, Lars Ole Ronnow
dc.identifier.citationOlsen , L O R 2015 , ' On simultaneous local dimension functions of subsets of R d ' , Bulletin of the Korean Mathematical Society , vol. 52 , no. 5 , pp. 1489-1493 .
dc.identifier.otherPURE: 228697611
dc.identifier.otherPURE UUID: 74b719a1-f995-4464-a8f0-cd7e56521c38
dc.identifier.otherORCID: /0000-0002-8353-044X/work/60630703
dc.identifier.otherWOS: 000363840500007
dc.identifier.otherScopus: 84942936518
dc.descriptionDate of Acceptance: 04/05/2015en
dc.description.abstractFor a subset E ⊑ Rd and x ∈ Rd, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by (Formula presented.) where dimH and dimP denote the Hausdorff dimension and the packing dimension, respectively. In this note we give a short and simple proof showing that for any pair of continuous functions f,g: Rd → [0, d] with f ≤ g, it is possible to choose a set E that simultaneously has f as its local Hausdorff dimension function and g as its local packing dimension function.
dc.relation.ispartofBulletin of the Korean Mathematical Societyen
dc.rightsCopyright 2015 Korean Mathematical Society. Made available according to the publisher policy under a Creative Commons Attribution - NonCommercial 4.0 (CC BY - NC) licence
dc.subjectHausdorff dimensionen
dc.subjectPacking dimensionen
dc.subjectLocal Hausdorff dimensionen
dc.subjectLocal packing dimensionen
dc.subjectBC Logicen
dc.subjectQA Mathematicsen
dc.titleOn simultaneous local dimension functions of subsets of Rden
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews.Pure Mathematicsen
dc.description.statusPeer revieweden

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