On the specification property and synchronization of uniqueq-expansions
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Publication:5005953
DOI10.1017/etds.2020.55zbMath1477.37019arXiv1903.08331OpenAlexW2924640459WikidataQ114119157 ScholiaQ114119157MaRDI QIDQ5005953
Publication date: 12 August 2021
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.08331
Combinatorics on words (68R15) Topological entropy (37B40) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dimension theory of smooth dynamical systems (37C45) Multidimensional shifts of finite type (37B51)
Cites Work
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- Topology of the set of univoque bases
- Hausdorff dimension of univoque sets and devil's staircase
- Topological and ergodic properties of symmetric sub-shifts
- On univoque and strongly univoque sets
- On the topological structure of univoque sets
- Expansions in non-integer bases: lower, middle and top orders
- Unique expansions of real numbers
- Subexpansions, superexpansions and uniqueness properties in non-integer bases
- \(\beta\)-expansions and symbolic dynamics
- An algebraic approach to entropy plateaus in non-integer base expansions
- On the continuity of the Hausdorff dimension of the univoque set
- Dynamical properties of \(S\)-gap shifts and other shift spaces
- Periodicity of the unique \(\beta\)-expansions
- Intermediate \(\beta\)-shifts of finite type
- Invariants for subshifts via nested sequences of shifts of finite type
- A panorama of specification-like properties and their consequences
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Periodic unique beta-expansions: the Sharkovskiĭ ordering
- A point is normal for almost all maps βx+α mod 1 or generalized β-transformations
- Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
- Invariant subsets of expanding mappings of the circle
- Symbolic dynamics for $\beta$-shifts and self-normal numbers
- 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
- Extender sets and measures of maximal entropy for subshifts
- On the bifurcation set of unique expansions
- Beta-expansions, natural extensions and multiple tilings associated with Pisot units
- Generalised golden ratios over integer alphabets
- Hausdorff dimension of unique beta expansions
- Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems