Attractor of Cantor Type with Positive Measure
classification
🧮 math.CA
keywords
attractormeasurepositivecantorcolonconsistingconstructcontractions
read the original abstract
We construct an iterated function system consisting of strictly increasing contractions $f,g\colon [0,1]\to [0,1]$ with $f([0,1])\cap g([0,1])=\emptyset$ and such that its attractor has positive Lebesgue measure.
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