On generating regular Cantorvals connected with geometric Cantor sets

DOI10.1016/j.chaos.2018.07.026zbMath1415.40001arXiv1706.03523OpenAlexW2963150843WikidataQ129404869 ScholiaQ129404869MaRDI QIDQ2000374

Artur Bartoszewicz, Franciszek Prus-Wiśniowski, Małgorzata Filipczak, Jarosław Swaczyna, Szymon Głąb

Publication date: 28 June 2019

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03523

zbMATH Keywords

achievement setcantorvalattractor of IFS

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Fractals (28A80) Density, gaps, topology (11B05)

Related Items (7)

Center of distances and central Cantor sets ⋮ Recovering a purely atomic finite measure from its range ⋮ On dimensions of visible parts of self-similar sets with finite rotation groups ⋮ Semi-fast convergent sequences and \(k\)-sums of central Cantor sets ⋮ Cardinal functions of purely atomic measures ⋮ On the structure of arithmetic sums of Cantor sets associated with series ⋮ Set of uniqueness for Cantorvals

Cites Work

• Topological and measure properties of some self-similar sets
• On the center of distances
• Recovering a purely atomic finite measure from its range
• Multigeometric sequences and cantorvals
• Cantorvals and Subsum Sets of Null Sequences
• Achievement Sets of Sequences
• On the range of purely atomic probability measures
• On the structure of self-similar sets
• On a paper of Guthrie and Nymann on subsums of infinite series
• On the topological structure of the arithmetic sum of two Cantor sets
• Algebraic and topological properties of some sets in l₁
• M-Cantorvals of Ferens type
• The topological structure of the set of subsums of an infinite series
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