Minimal unique expansions with digits in ternary alphabets
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Publication:716484
DOI10.1016/J.INDAG.2010.11.001zbMath1235.11015OpenAlexW1989194163MaRDI QIDQ716484
Publication date: 22 September 2011
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.indag.2010.11.001
balanced sequencesgreedy expansionbeta-expansionunique expansionlazy expansionnoninteger baseternary alphabetunivoque sequencecritical base
Related Items (3)
Critical bases for ternary alphabets ⋮ Thue-Morse-Sturmian words and critical bases for ternary alphabets ⋮ Sturmian words and Cantor sets arising from unique expansions over ternary alphabets
Cites Work
- Extremal properties of (epi)Sturmian sequences and distribution modulo 1
- Generalized golden ratios of ternary alphabets
- Symbolic dynamics of order-preserving orbits
- Unique expansions of real numbers
- Symbolic dynamics and rotation numbers
- On the uniqueness of the expansions \(1=\sum q^{-n_i}\)
- Greedy expansions and sets with deleted digits
- Inequalities characterizing standard Sturmian and episturmian words
- Representations for real numbers and their ergodic properties
- Unique Developments in Non-Integer Bases
- Almost Every Number Has a Continuum of b-Expansions
- Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
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