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Self-affine sets with positive Lebesgue measure
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| dc.contributor.author | Dajani, Karma | |
| dc.contributor.author | Jiang, Kan | |
| dc.contributor.author | Kempton, Thomas Michael William | |
| dc.date.accessioned | 2015-10-30T15:40:05Z | |
| dc.date.available | 2015-10-30T15:40:05Z | |
| dc.date.issued | 2014-06-27 | |
| dc.identifier.citation | Dajani , K , Jiang , K & Kempton , T M W 2014 , ' Self-affine sets with positive Lebesgue measure ' , Indagationes Mathematicae , vol. 25 , no. 4 , pp. 774-784 . https://doi.org/10.1016/j.indag.2014.04.009 | en |
| dc.identifier.issn | 0019-3577 | |
| dc.identifier.other | PURE: 226676420 | |
| dc.identifier.other | PURE UUID: 8fedc8c3-a99c-4ea0-a22d-52634d3c2282 | |
| dc.identifier.other | Scopus: 84902345906 | |
| dc.identifier.uri | https://hdl.handle.net/10023/7718 | |
| dc.description.abstract | Using techniques introduced by C. Gunturk, we prove that the attractors of a family of overlapping self-affine iterated function systems contain a neighbourhood of zero for all parameters in a certain range. This corresponds to giving conditions under which a single sequence may serve as a ‘simultaneous β-expansion’ of different numbers in different bases. | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Indagationes Mathematicae | en |
| dc.rights | © 2014, Publisher / the Author(s). 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 www.sciencedirect.com / https://dx.doi.org/10.1016/j.indag.2014.04.009 | en |
| dc.subject | Overlapping self-affine sets | en |
| dc.subject | Iterated function systems | en |
| dc.subject | Beta expansions | en |
| dc.subject | QA Mathematics | en |
| dc.subject.lcc | QA | en |
| dc.title | Self-affine sets with positive Lebesgue measure | en |
| dc.type | Journal article | en |
| dc.description.version | Postprint | en |
| dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
| dc.identifier.doi | https://doi.org/10.1016/j.indag.2014.04.009 | |
| dc.description.status | Peer reviewed | en |
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