On numbers badly approximable by dyadic rationals

DOI10.1007/s11856-009-0042-9zbMath1189.11038OpenAlexW2134693927MaRDI QIDQ836105

Johan Nilsson

Publication date: 31 August 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0042-9

zbMATH Keywords

Diophantine approximationHausdorff dimensionsymbolic dynamicsdyadic rationals

Mathematics Subject Classification ID

Metric theory (11J83) Symbolic dynamics (37B10)

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Cites Work

• Unnamed Item
• Unnamed Item
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• Covering the circle with random arcs
• ON COVERING A CIRCLE BY RANDOMLY PLACED ARCS
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• On Hausdorff dimension of invariant sets for expanding maps of a circle
• Symbolic dynamics for $\beta$-shifts and self-normal numbers
• On Dvoretzky coverings for the circle
• Renewal sets and random cutouts