J. Morawiec

activity

20082026

most citedInhomogeneous refinement equations with random affine maps

2 citations · 5 across the 17 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.CA2017

Attractor of Cantor Type with Positive Measure

Janusz Morawiec, Thomas Zürcher

We construct an iterated function system consisting of strictly increasing contractions $f, g : [0, 1] \to [0, 1]$ with $f ([0, 1]) \cap g ([0, 1]) = \emptyset$ and such that its attracto…

math.CA2017

On a problem of Janusz Matkowski and Jacek Wesołowski

Janusz Morawiec, Thomas Zürcher

We study the problem of the existence of increasing and continuous solutions $φ : [0, 1] \to [0, 1]$ such that $φ (0) = 0$ and $φ (1) = 1$ of the functional equation \begin{equation*} φ(x…