Bases in which some numbers have exactly two expansions
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Publication:1800478
DOI10.1016/j.jnt.2018.06.004zbMath1447.11006arXiv1705.00473OpenAlexW2858444140WikidataQ114157305 ScholiaQ114157305MaRDI QIDQ1800478
Publication date: 24 October 2018
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.00473
Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)
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Cites Work
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- Lectures on functional analysis and the Lebesgue integral. Translated from the French by the author
- Topology of the set of univoque bases
- Hausdorff dimension of univoque sets and devil's staircase
- On small bases which admit countably many expansions
- On a problem of countable expansions
- On small bases which admit points with two expansions
- On the topological structure of univoque sets
- 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 \(1=\sum q^{-n_i}\)
- Univoque bases and Hausdorff dimension
- Dynamics of continued fractions and kneading sequences of unimodal maps
- Unique infinite expansions in noninteger bases
- Expansions in non-integer bases: lower order revisited
- On theβ-expansions of real numbers
- Unique Developments in Non-Integer Bases
- Almost Every Number Has a Continuum of b-Expansions
- Expansions in non-integer bases
- 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