73 research outputs found
Attractor of Cantor Type with Positive Measure
We construct an iterated function system consisting of strictly increasing
contractions with
and such that its attractor has positive Lebesgue measure
Around a problem of Nicole Brillouët-Belluot, II
For every α ∈ R we determine all increasing bijections f : (0,+∞) → (0,+∞) such
that f(1) = 1 and f(x)f−1(x) = xα for every x ∈ (0,+∞)
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