UNIFORM DIOPHANTINE APPROXIMATION TO CANTOR SERIES EXPANSION

DOI10.1142/S0218348X21502066zbMath1495.28005OpenAlexW3181641974MaRDI QIDQ5025344

Chao Ma, Yan Han

Publication date: 1 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21502066

zbMATH Keywords

Hausdorff dimensionCantor series expansionuniform Diophantine approximation

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Hausdorff and packing measures (28A78)

Cites Work

• Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions
• Diophantine analysis in beta-dynamical systems and Hausdorff dimensions
• Exponents of Diophantine approximation and Sturmian continued fractions.
• Diophantine approximation of the orbit of 1 in the dynamical system of beta expansions
• Uniform Diophantine approximation related to -ary and -expansions
• SHRINKING TARGETS FOR NONAUTONOMOUS DYNAMICAL SYSTEMS CORRESPONDING TO CANTOR SERIES EXPANSIONS
• Dichotomy law for shrinking target problems in a nonautonomous dynamical system: Cantor series expansion
• Some further statistical properties of the digits in Cantor's series
• Exponents of Diophantine approximation and expansions in integer bases
• Uniformly distributed sequences mod 1 and Cantor's series representation
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