Unexpected distribution phenomenon resulting from Cantor series expansions

DOI10.1016/j.aim.2015.03.008zbMath1400.11121arXiv1403.3026OpenAlexW2963778766MaRDI QIDQ2344273

Bill Mance, Dylan Airey

Publication date: 13 May 2015

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

Full work available at URL: https://arxiv.org/abs/1403.3026

zbMATH Keywords

Hausdorff dimensionuniform distributionCantor seriesnormal numbercomputable real numbersBesicovitch-Eggleston normal sets

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (3)

Normality of different orders for Cantor series expansions ⋮ An analogue of Pillai's theorem for continued fraction normality and an application to subsequences ⋮ A note on the distribution of the digits in Cantor expansions

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