Relative bifurcation sets and the local dimension of univoque bases
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Publication:5000378
DOI10.1017/etds.2020.38zbMath1475.11014arXiv1809.00323OpenAlexW3100544584WikidataQ114119211 ScholiaQ114119211MaRDI QIDQ5000378
Pieter C. Allaart, Derong Kong
Publication date: 13 July 2021
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.00323
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Radix representation; digital problems (11A63) Symbolic dynamics (37B10)
Related Items (6)
Density spectrum of Cantor measure ⋮ The bifurcation locus for numbers of bounded type ⋮ Critical values for the -transformation with a hole at ⋮ Bifurcation sets arising from non-integer base expansions ⋮ On the smallest base in which a number has a unique expansion ⋮ How likely can a point be in different Cantor sets
Cites Work
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- Topology of the set of univoque bases
- The infinite derivatives of Okamoto's self-affine functions: an application of \(\beta\)-expansions
- Hausdorff dimension of univoque sets and devil's staircase
- On small bases which admit countably many expansions
- Topological and ergodic properties of symmetric sub-shifts
- On univoque and strongly univoque sets
- On the topological structure of univoque sets
- Invariant densities for random \(\beta\)-expansions
- Diophantine analysis in beta-dynamical systems and Hausdorff dimensions
- Expansions in non-integer bases: lower, middle and top orders
- Unique expansions of real numbers
- On the uniqueness of the expansions \(1=\sum q^{-n_i}\)
- Subexpansions, superexpansions and uniqueness properties in non-integer bases
- Algebraic sums and products of univoque bases
- Bases in which some numbers have exactly two expansions
- Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set
- Dynamics of continued fractions and kneading sequences of unimodal maps
- An algebraic approach to entropy plateaus in non-integer base expansions
- Bifurcation sets arising from non-integer base expansions
- On the continuity of the Hausdorff dimension of the univoque set
- Expansions in non-integer bases: lower order revisited
- Intersections of homogeneous Cantor sets and beta-expansions
- Multifractal structure of Bernoulli convolutions
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Unique Developments in Non-Integer Bases
- Almost Every Number Has a Continuum of b-Expansions
- Entropy, topological transitivity, and dimensional properties of unique 𝑞-expansions
- An Introduction to Symbolic Dynamics and Coding
- Combinatorics of linear iterated function systems with overlaps
- On the bifurcation set of unique expansions
- Hausdorff dimension of unique beta expansions
- Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
- Unique representations of real numbers in non-integer bases
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