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Planar self-affine sets with equal Hausdorff, box and affinity dimensions
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dc.contributor.author | Falconer, Kenneth | |
dc.contributor.author | Kempton, Tom | |
dc.date.accessioned | 2017-04-20T23:33:00Z | |
dc.date.available | 2017-04-20T23:33:00Z | |
dc.date.issued | 2018-06 | |
dc.identifier | 173352301 | |
dc.identifier | 9d0c27d1-91ec-472f-ab84-a749078e79ad | |
dc.identifier | 84992153925 | |
dc.identifier | 000430730000006 | |
dc.identifier.citation | Falconer , 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.2016.74 | en |
dc.identifier.issn | 0143-3857 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1503.01270v1 | |
dc.identifier.other | ORCID: /0000-0001-8823-0406/work/58055263 | |
dc.identifier.uri | https://hdl.handle.net/10023/10634 | |
dc.description.abstract | Using 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.extent | 20 | |
dc.format.extent | 472084 | |
dc.language.iso | eng | |
dc.relation.ispartof | Ergodic Theory and Dynamical Systems | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | BDC | en |
dc.subject.lcc | QA | en |
dc.title | Planar self-affine sets with equal Hausdorff, box and affinity dimensions | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.1017/etds.2016.74 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2017-04-20 | |
dc.identifier.url | http://arxiv.org/pdf/1503.01270v2.pdf | en |
dc.identifier.grantnumber | EP/K029061/1 | en |
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