On the structure of arithmetic sums of Cantor sets associated with series

DOI10.1007/S00025-022-01779-1OpenAlexW4309080877MaRDI QIDQ2095503

Razvan Anisca, Monica Ilie

Publication date: 17 November 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01779-1

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Fractals (28A80) Density, gaps, topology (11B05) Dimension theory of smooth dynamical systems (37C45)

Cites Work

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• Achievement sets on the plane -- perturbations of geometric and multigeometric series
• The arithmetic decomposition of central Cantor sets
• Packing and Hausdorff measures of Cantor sets associated with series
• On generating regular Cantorvals connected with geometric Cantor sets
• On Kakeya conditions for achievement sets
• A Technique of Studying Sums of Central Cantor Sets
• Achievement Sets of Sequences
• On the structure of arithmetic sums of Cantor sets with constant ratios of dissection
• Sum of Cantor sets: Self-similarity and measure
• On the topological structure of the arithmetic sum of two Cantor sets
• Topological structure of the sum of two homogeneous Cantor sets

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