How inhomogeneous Cantor sets can pass a point

DOI10.1007/S00209-022-03099-0OpenAlexW4292730934MaRDI QIDQ2081422

Yanyan Li

Publication date: 13 October 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-022-03099-0

zbMATH Keywords

thicknessCantor setHausdorff dimensioninhomogeneousintersection

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Hausdorff and packing measures (28A78)

Cites Work

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• Topology of the set of univoque bases
• On the topological structure of univoque sets
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Algebraic sums and products of univoque bases
• Univoque bases of real numbers: local dimension, devil's staircase and isolated points
• A two-dimensional univoque set
• When Cantor Sets Intersect Thickly
• Fat, Symmetric, Irrational Cantor Sets
• How likely can a point be in different Cantor sets

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