A quasi-ergodic approach to non-integer base expansions
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Publication:6048605
DOI10.1016/J.JNT.2023.07.009zbMath1530.11010OpenAlexW4386074825MaRDI QIDQ6048605
Vilmos Komornik, Marco Pedicini, Paola Loreti
Publication date: 11 October 2023
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2023.07.009
Combinatorics on words (68R15) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Special sequences and polynomials (11B83) Radix representation; digital problems (11A63) Symbolic dynamics (37B10)
Cites Work
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- Hausdorff dimension of univoque sets and devil's staircase
- Generalized golden ratios of ternary alphabets
- Expansions in non-integer bases: lower, middle and top orders
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- Critical bases for ternary alphabets
- Universal \(\beta\)-expansions
- Fibonacci expansions
- Topology of univoque sets in real base expansions
- On the continuity of the Hausdorff dimension of the univoque set
- Representations for real numbers and their ergodic properties
- Thue-Morse-Sturmian words and critical bases for ternary alphabets
- Unique Developments in Non-Integer Bases
- AUTOMATIC CONVERSION FROM FIBONACCI REPRESENTATION TO REPRESENTATION IN BASE φ, AND A GENERALIZATION
- Multiple common expansions in non-integer bases
- Entropy, topological transitivity, and dimensional properties of unique 𝑞-expansions
- On the smallest base in which a number has a unique expansion
- Generalised golden ratios over integer alphabets
- "Decimal" Expansions to Nonintegral Bases
- 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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