Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672991 | Indagationes Mathematicae | 2014 | 11 Pages |
Abstract
Using techniques introduced by C. Güntürk, 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 ββ-expansion’ of different numbers in different bases.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Karma Dajani, Kan Jiang, Tom Kempton,