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On generating regular Cantorvals connected with geometric Cantor sets

Authors :
Bartoszewicz, Artur
Filipczak, Małgorzata
Głcab, Szymon
Prus-Wiśniowski, Franciszek
Swaczyna, Jarosław
Publication Year :
2017

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.

Subjects

Subjects :
Mathematics - Classical Analysis and ODEs
Cantorval, achievement set, attractor of IFS

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1706.03523
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.chaos.2018.07.026
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