Abstract
We construct an iterated function system consisting of strictly increasing contractions \(f,g:[0,1]\rightarrow [0,1]\) with \(f([0,1])\cap g([0,1])=\emptyset \) and such that its attractor has positive Lebesgue measure.
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Morawiec, J., Zürcher, T. Attractor of Cantor Type with Positive Measure. Results Math 73, 67 (2018). https://doi.org/10.1007/s00025-018-0828-3
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DOI: https://doi.org/10.1007/s00025-018-0828-3