Show simple item record

Files in this item

Thumbnail

Item metadata

dc.contributor.authorFalconer, Kenneth
dc.contributor.authorJin, Xiong
dc.date.accessioned2014-09-30T09:01:02Z
dc.date.available2014-09-30T09:01:02Z
dc.date.issued2014-10
dc.identifier.citationFalconer , K & Jin , X 2014 , ' Exact dimensionality and projections of random self-similar measures and sets ' , Journal of the London Mathematical Society , vol. 90 , no. 2 , pp. 388-412 . https://doi.org/10.1112/jlms/jdu031en
dc.identifier.issn0024-6107
dc.identifier.otherPURE: 47500067
dc.identifier.otherPURE UUID: 19b4a4ea-f758-4f28-a5c1-9f0095429aad
dc.identifier.otherArXiv: http://arxiv.org/abs/1212.1345v2
dc.identifier.otherScopus: 84908361087
dc.identifier.otherORCID: /0000-0001-8823-0406/work/58055246
dc.identifier.otherWOS: 000345834700004
dc.identifier.urihttp://hdl.handle.net/10023/5514
dc.description.abstractWe study the geometric properties of random multiplicative cascade measures defined on self-similar sets. We show that such measures and their projections and sections are almost surely exact dimensional, generalizing a result of Feng and Hu's for self-similar measures. This, together with a compact group extension argument, enables us to generalize Hochman and Shmerkin's theorems on projections of deterministic self-similar measures to these random measures without requiring any separation conditions on the underlying sets. We give applications to self-similar sets and fractal percolation, including new results on projections, C1-images and distance sets.
dc.format.extent25
dc.language.isoeng
dc.relation.ispartofJournal of the London Mathematical Societyen
dc.rights© 2014. London Mathematical Society. This is the accepted version before publication of the following article: Exact dimensionality and projections of random self-similar measures and sets Falconer, K. & Jin, X. 2014 In : Journal of the London Mathematical Society. 25 p., which has been published in final form at http://jlms.oxfordjournals.org/content/90/2/388en
dc.subjectQA Mathematicsen
dc.subjectBDCen
dc.subject.lccQAen
dc.titleExact dimensionality and projections of random self-similar measures and setsen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews.Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1112/jlms/jdu031
dc.description.statusPeer revieweden
dc.identifier.urlhttp://arxiv.org/abs/1212.1345en


This item appears in the following Collection(s)

Show simple item record