Bifurcation sets arising from non-integer base expansions

DOI10.4171/JFG/79zbMath1435.11102arXiv1706.05190MaRDI QIDQ2286619

Derong Kong, Simon Baker, Pieter C. Allaart

Publication date: 22 January 2020

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05190

zbMATH Keywords

Hausdorff dimensionbifurcation setsunivoque basesunivoque sets

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Hausdorff and packing measures (28A78)

Related Items (5)

Univoque bases of real numbers: local dimension, devil's staircase and isolated points ⋮ Critical base for the unique codings of fat Sierpinski gasket ⋮ Hausdorff dimension of multiple expansions ⋮ Relative bifurcation sets and the local dimension of univoque bases ⋮ On the smallest base in which a number has a unique expansion

Cites Work

• Unnamed Item
• Unnamed Item
• On univoque and strongly univoque sets
• Dynamics of continued fractions and kneading sequences of unimodal maps
• Entropy, topological transitivity, and dimensional properties of unique 𝑞-expansions
• Relative bifurcation sets and the local dimension of univoque bases
• Generalised golden ratios over integer alphabets

This page was built for publication: Bifurcation sets arising from non-integer base expansions