On uniform distribution of \(\alpha \beta\)-orbits

DOI10.1016/j.jnt.2020.08.011zbMath1453.28004arXiv1909.07004OpenAlexW3086242205MaRDI QIDQ2212639

Changhao Chen, Sheng You Wen, Xiao-Hua Wang

Publication date: 24 November 2020

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

Full work available at URL: https://arxiv.org/abs/1909.07004

zbMATH Keywords

Hausdorff dimension\(\mathcal{G}_\delta\) setuniform distribution module one

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Fractals (28A80) Trigonometric and exponential sums (general theory) (11L03)

Related Items (1)

New dimension bounds for \(\alpha \beta\) sets

Cites Work

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• Multi-rotations on the unit circle
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• On \(\alpha\beta\)-sets
• Affine embeddings of Cantor sets and dimension of \(\alpha\beta\)-sets
• On Weyl's criterion for uniform distribution
• Sur un problème de K. Urbanik concernant les ensembles linéaires

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