ON SMALL BASES FOR WHICH 1 HAS COUNTABLY MANY EXPANSIONS
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Publication:2810730
DOI10.1112/S002557931500025XzbMath1419.11015arXiv1502.07212OpenAlexW3100109466MaRDI QIDQ2810730
Lijin Wang, Jian Lu, Yuru Zou, Simon Baker
Publication date: 6 June 2016
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.07212
Radix representation; digital problems (11A63) Relations between ergodic theory and number theory (37A44)
Related Items (5)
Expansions in multiple bases over general alphabets ⋮ Metric results for numbers with multiple \(q\)-expansions ⋮ Denseness of intermediate $\beta $-shifts of finite-type ⋮ On small bases which admit points with two expansions ⋮ Hausdorff dimension of multiple expansions
Cites Work
- On small bases which admit countably many expansions
- Ergodic-theoretic properties of certain Bernoulli convolutions
- Invariant densities for random \(\beta\)-expansions
- Expansions in non-integer bases: lower, middle and top orders
- Unique expansions of real numbers
- On the uniqueness of the expansions \(1=\sum q^{-n_i}\)
- Measures of maximal entropy for random \(\beta\)-expansions
- UNIQUE EXPANSION OF POINTS OF A CLASS OF SELF‐SIMILAR SETS WITH OVERLAPS
- On theβ-expansions of real numbers
- Unique Developments in Non-Integer Bases
- Random \beta-expansions
- 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
- Unique representations of real numbers in non-integer bases
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