On a generalization of the concept of normal numbers

DOI10.17721/1812-5409.2021/2.8zbMATH Open1488.11112OpenAlexW4210714734MaRDI QIDQ5018588

R. V. Kryvoshyia

Publication date: 21 December 2021

Published in: Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17721/1812-5409.2021/2.8

zbMATH Keywords

ergodic transformationuniformly distributed sequence\(Q_s\)-cylinder\(Q_s\)-normal number

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) General theory of distribution modulo (1) (11K06)

Related Items (8)

General constructions of normal numbers of Korobov type ⋮ On the normality of numbers to different bases ⋮ On the definition of normal numbers ⋮ The normality of digits in almost constant additive functions ⋮ Normal numbers from Steinhaus's viewpoint ⋮ Normal numbers and the Borel hierarchy ⋮ On questions related to normal pairs ⋮ Some complexity results in the theory of normal numbers

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