Self-Affine Sets with Positive Lebesgue Measure
Files
Publication date
2014
Authors
Dajani, K.
Jiang, K.
Kempton, Tom
Editors
Advisors
Supervisors
Document Type
Article
Metadata
Show full item recordCollections
License
Abstract
Using techniques introduced by C. G ̈unt ̈urk, 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
Keywords
Overlapping self-affine sets, Iterated function systems, β-expansions
Citation
Dajani, K, Jiang, K & Kempton, T 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