Hausdorff dimension of certain sets related to random \(\alpha \beta\)-orbits which are not dense

DOI10.1016/J.JNT.2024.02.004MaRDI QIDQ6495502

Jun Wu, Liuqing Peng, Unnamed Author

Publication date: 30 April 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionuniformly distributed modulo one\(\alpha \beta\)-orbits

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Distribution modulo one (11J71)

Cites Work

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• On uniform distribution of \(\alpha \beta\)-orbits
• Sur un problème de K. Urbanik concernant les ensembles linéaires
• BENFORD'S LAW FOR THE $3x+1$ FUNCTION

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