Show simple item record

Files in this item

Thumbnail
Name:
LyapunovDimension33.pdf
Size:
461.0Kb
Format:
PDF
View/Open

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

Item metadata

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.identifier173352301
dc.identifier9d0c27d1-91ec-472f-ab84-a749078e79ad
dc.identifier84992153925
dc.identifier000430730000006
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.otherArXiv: http://arxiv.org/abs/1503.01270v1
dc.identifier.otherORCID: /0000-0001-8823-0406/work/58055263
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.format.extent472084
dc.language.isoeng
dc.relation.ispartofErgodic Theory and Dynamical Systemsen
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.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


This item appears in the following Collection(s)

Show simple item record

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.