On the cardinality of β-expansions of some numbers

DOI10.1142/S1793042116500925zbMath1362.11009OpenAlexW1850134401WikidataQ114072011 ScholiaQ114072011MaRDI QIDQ2816450

Jian Lu, Yuru Zou, Wenxia Li

Publication date: 22 August 2016

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

Full work available at URL: https://doi.org/10.1142/s1793042116500925

zbMATH Keywords

Hausdorff dimensiondirected graph\(\beta\)-expansion

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Radix representation; digital problems (11A63)

Cites Work

• Unique expansions of real numbers
• Subexpansions, superexpansions and uniqueness properties in non-integer bases
• Measures of maximal entropy for random \(\beta\)-expansions
• On theβ-expansions of real numbers
• An Introduction to Symbolic Dynamics and Coding
• Unique representations of real numbers in non-integer bases

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