Hausdorff dimension of frequency sets of univoque sequences
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Publication:4995194
DOI10.1080/14689367.2021.1905778zbMath1472.37016arXiv2001.11928OpenAlexW3160804355MaRDI QIDQ4995194
Publication date: 23 June 2021
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.11928
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45)
Cites Work
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- Topology of the set of univoque bases
- Hausdorff dimension of univoque sets and devil's staircase
- Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions
- On the topological structure of univoque sets
- On the number of unique expansions in non-integer bases
- Unique expansions of real numbers
- Univoque bases and Hausdorff dimension
- Distributions of full and non-full words in beta-expansions
- \(\beta\)-expansions and symbolic dynamics
- Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set
- Beta-expansion and continued fraction expansion
- A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Periodic unique beta-expansions: the Sharkovskiĭ ordering
- Univoque numbers and an avatar of Thue–Morse
- Unique Developments in Non-Integer Bases
- Symbolic dynamics for $\beta$-shifts and self-normal numbers
- Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
- THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES
- On the Ergodic Theorem
- Étude de la classification topologique des fonctions unimodales. (Study of the topological classification of unimodal functions)
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