Rational numbers in ×𝑏-invariant sets

DOI10.1090/proc/16278OpenAlexW4303184349MaRDI QIDQ5880224

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Publication date: 7 March 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.07357

zbMATH Keywords

Cantor setsrational numbers\(T_b\)-invariant sets

Mathematics Subject Classification ID

Fractals (28A80) Radix representation; digital problems (11A63) Dynamical systems involving maps of the interval (37E05)

Cites Work

• The distribution of rational numbers on Cantor's middle thirds set
• A proof of Furstenberg's conjecture on the intersections of \(\times p\)- and \(\times q\)-invariant sets
• Some suggestions for further research
• On intrinsic and extrinsic rational approximation to Cantor sets
• ON THE ARITHMETIC STRUCTURE OF RATIONAL NUMBERS IN THE CANTOR SET
• Rational Points in m-Adic Cantor Sets
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