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We construct an iterated function system consisting of strictly increasing contractions $$f,g:[0,1]\rightarrow [0,1]$$f,g:[0,1]→[0,1] with $$f([0,1])\cap g([0,1])=\emptyset $$f([0,1])∩g([0,1])=∅ and such that its attractor has positive Lebesgue measure. Click to show full abstract
We construct an iterated function system consisting of strictly increasing contractions $$f,g:[0,1]\rightarrow [0,1]$$f,g:[0,1]→[0,1] with $$f([0,1])\cap g([0,1])=\emptyset $$f([0,1])∩g([0,1])=∅ and such that its attractor has positive Lebesgue measure.
Keywords:
type positive;
measure;
cantor type;
positive measure;
attractor cantor
Journal Title: Results in Mathematics
Year Published: 2017
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Journal Title: Results in Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!