A result on the maximal length of consecutive 0 digits in β-expansions

DOI10.3906/mat-1704-119zbMath1424.11113OpenAlexW2789609194MaRDI QIDQ4634126

Hui Hu, Xiang Gao, Zhi-Hui Li

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1704-119

zbMATH Keywords

Hausdorff dimension\(\beta\)-expansionconsecutive zero digits

Mathematics Subject Classification ID

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

Related Items (5)

Run-length function of the beta-expansion of a fixed real number ⋮ Maximal run-length function with constraints: a generalization of the Erdős-Rényi limit theorem and the exceptional sets ⋮ EXCEPTIONAL SETS RELATED TO THE RUN-LENGTH FUNCTION OF BETA-EXPANSIONS ⋮ HAUSDORFF DIMENSION OF THE EXCEPTIONAL SETS CONCERNING THE RUN-LENGTH FUNCTION OF BETA-EXPANSION ⋮ RUN-LENGTH FUNCTION FOR REAL NUMBERS IN β-EXPANSIONS

Cites Work

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• On the lengths of basic intervals in beta expansions
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• On a problem of Tamas Varga

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