Attractor of Cantor Type with Positive Measure

2017/12/13 by Morawiec, Janusz, Zürcher, Thomas
#26A18 #28A80 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.04653

Abstract

We construct an iterated function system consisting of strictly increasing contractions f,g\colon [0,1]→ [0,1] with f([0,1])∩ g([0,1])=∅ and such that its attractor has positive Lebesgue measure.

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