METRIC AND DIMENSIONAL PROPERTIES OF THE BADLY APPROXIMABLE SET FOR BETA-TRANSFORMATIONS

DOI10.1142/S0218348X19500257zbMath1433.28034OpenAlexW2900508119MaRDI QIDQ4961154

Qianqian Yang, Shuai Ling Wang

Publication date: 22 April 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x19500257

zbMATH Keywords

Hausdorff dimensionbadly approximable set\( \beta \)-transformation

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (3)

The shrinking target problem for matrix transformations of tori: revisiting the standard problem ⋮ THE DISTAL AND ASYMPTOTIC SETS FOR CONTINUED FRACTIONS ⋮ BADLY APPROXIMABLE AND NONRECURRENT SETS FOR EXPANDING MARKOV MAPS

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• Symbolic dynamics for $\beta$-shifts and self-normal numbers
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