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arXiv · 1706.03523

On generating regular Cantorvals connected with geometric Cantor sets

Artur Bartoszewicz·Małgorzata Filipczak·Szymon Głcab·Franciszek Prus-Wiśniowski·Jarosław Swaczyna
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Abstract

We show that the Cantorvals connected with the geometric Cantor sets are not achievement sets of any series. However many of them are attractors of IFS consisting of affine functions.

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Artur Bartoszewicz, Małgorzata Filipczak, Szymon Głcab, Franciszek Prus-Wiśniowski, Jarosław Swaczyna. 2017-06-12. On generating regular Cantorvals connected with geometric Cantor sets. https://doi.org/10.1016/j.chaos.2018.07.026

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