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Planar self-affine sets with equal Hausdorff, box and affinity dimensions

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dc.contributor.authorFalconer, Kenneth
dc.contributor.authorKempton, Tom
dc.date.accessioned2017-04-20T23:33:00Z
dc.date.available2017-04-20T23:33:00Z
dc.date.issued2018-06
dc.identifier.citationFalconer , K & Kempton , T 2018 , ' Planar self-affine sets with equal Hausdorff, box and affinity dimensions ' , Ergodic Theory and Dynamical Systems , vol. 38 , no. 4 , pp. 1369-1388 . https://doi.org/10.1017/etds.2016.74en
dc.identifier.issn0143-3857
dc.identifier.otherPURE: 173352301
dc.identifier.otherPURE UUID: 9d0c27d1-91ec-472f-ab84-a749078e79ad
dc.identifier.otherArXiv: http://arxiv.org/abs/1503.01270v1
dc.identifier.otherScopus: 84992153925
dc.identifier.otherORCID: /0000-0001-8823-0406/work/58055263
dc.identifier.otherWOS: 000430730000006
dc.identifier.urihttps://hdl.handle.net/10023/10634
dc.description.abstractUsing methods from ergodic theory along with properties of the Furstenberg measure we obtain conditions under which certain classes of plane self-affine sets have Hausdorff or box-counting dimensions equal to their affinity dimension. We exhibit some new specific classes of self-affine sets for which these dimensions are equal.
dc.format.extent20
dc.language.isoeng
dc.relation.ispartofErgodic Theory and Dynamical Systemsen
dc.rightsCopyright © 2016, Cambridge University Press. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://dx.doi.org/10.1017/etds.2016.74en
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subjectBDCen
dc.subject.lccQAen
dc.titlePlanar self-affine sets with equal Hausdorff, box and affinity dimensionsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1017/etds.2016.74
dc.description.statusPeer revieweden
dc.date.embargoedUntil2017-04-20
dc.identifier.urlhttp://arxiv.org/pdf/1503.01270v2.pdfen
dc.identifier.grantnumberEP/K029061/1en


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