UNIQUE EXPANSION OF POINTS OF A CLASS OF SELF‐SIMILAR SETS WITH OVERLAPS

DOI10.1112/S0025579312000083zbMath1251.28006OpenAlexW2158617758MaRDI QIDQ2902665

Wenxia Li, Yuru Zou, Jian Lu

Publication date: 22 August 2012

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579312000083

zbMATH Keywords

Hausdorff dimensioniterated function systemcoding map\(q\)-expansionopen set conditionself similar set with overlaps

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Approximations and expansions (41A99)

Related Items (7)

Multiple expansions of real numbers with digits set \(\{0,1,q\}\) ⋮ On univoque points for self-similar sets ⋮ Multiple codings of self-similar sets with overlaps ⋮ On a kind of self-similar sets with complete overlaps ⋮ INTERSECTIONS OF TRANSLATION OF A CLASS OF SIERPINSKI CARPETS ⋮ ON SMALL BASES FOR WHICH 1 HAS COUNTABLY MANY EXPANSIONS ⋮ Estimating the Hausdorff dimensions of univoque sets for self-similar sets

Cites Work

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• HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
• Weak separation properties for self-similar sets
• 𝛽-expansions with deleted digits for Pisot numbers 𝛽
• Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
• Unique representations of real numbers in non-integer bases

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