Self-affine sets with positive Lebesgue measure

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	226676420
dc.identifier	8fedc8c3-a99c-4ea0-a22d-52634d3c2282
dc.identifier	84902345906
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.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.format.extent	157041
dc.language.iso	eng
dc.relation.ispartof	Indagationes Mathematicae	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.contributor.institution	University of St Andrews. Pure Mathematics	en
dc.identifier.doi	10.1016/j.indag.2014.04.009
dc.description.status	Peer reviewed	en