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Minkowski dimension for measures

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dc.contributor.authorFalconer, Kenneth John
dc.contributor.authorFraser, Jonathan
dc.contributor.authorKäenmäki, Antti
dc.date.accessioned2022-06-10T15:30:12Z
dc.date.available2022-06-10T15:30:12Z
dc.date.issued2023-02-01
dc.identifier267360118
dc.identifier045c952b-2275-4d23-97a9-b4d5dacb4f1d
dc.identifier85144704805
dc.identifier000891361100001
dc.identifier.citationFalconer , K J , Fraser , J & Käenmäki , A 2023 , ' Minkowski dimension for measures ' , Proceedings of the American Mathematical Society , vol. 151 , no. 2 , pp. 779-794 . https://doi.org/10.1090/proc/16174en
dc.identifier.issn0002-9939
dc.identifier.otherORCID: /0000-0002-8066-9120/work/124079008
dc.identifier.otherORCID: /0000-0001-8823-0406/work/124079158
dc.identifier.urihttps://hdl.handle.net/10023/25511
dc.descriptionFunding: JMF and KJF are financially supported by an EPSRC Standard Grant (EP/R015104/1) and JMF by a Leverhulme Trust Research Project Grant (RPG-2019-034).en
dc.description.abstractThe purpose of this article is to introduce and motivate the notion of Minkowski (or box) dimension for measures. The definition is simple and fills a gap in the existing literature on the dimension theory of measures. As the terminology suggests, we show that it can be used to characterise the Minkowski dimension of a compact metric space. We also study its relationship with other concepts in dimension theory.
dc.format.extent16
dc.format.extent354490
dc.language.isoeng
dc.relation.ispartofProceedings of the American Mathematical Societyen
dc.subjectMinkowski dimensionen
dc.subjectAssouad dimensionen
dc.subjectDoubling metric spaceen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subjectMCCen
dc.subjectNCADen
dc.subject.lccQAen
dc.titleMinkowski dimension for measuresen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorThe Leverhulme Trusten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doi10.1090/proc/16174
dc.description.statusPeer revieweden
dc.identifier.urlhttp://arxiv.org/abs/2001.07055en
dc.identifier.grantnumberEP/R015104/1en
dc.identifier.grantnumberRPG-2019-034en


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