Level sets of \(\beta\)-expansions

DOI10.1016/j.crma.2004.09.026zbMath1157.11311OpenAlexW2054174408MaRDI QIDQ1763493

Hao Zhu, Ai-Hua Fan

Publication date: 22 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.09.026

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (3)

Hausdorff dimensions of some irregular sets associated with \(\beta\)-expansions ⋮ Level sets of the Takagi function: Hausdorff dimension ⋮ Hausdorff dimension of frequency sets in beta-expansions

Cites Work

• Hausdorff dimension of leve l sets of some Rademacher series
• RECURRENCE, DIMENSION AND ENTROPY
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Arithmetic Properties of Bernoulli Convolutions
• Dimension of level sets of some Rademacher series
• On fast Birkhoff averaging
• Hausdorff dimensions of level sets of Rademacher series
• Lacunary Taylor and Fourier series

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