On the smallest base in which a number has a unique expansion
From MaRDI portal
Publication:5009306
DOI10.1090/tran/8332zbMath1491.11010arXiv2006.07927OpenAlexW3105844981MaRDI QIDQ5009306
Derong Kong, Pieter C. Allaart
Publication date: 20 August 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.07927
Combinatorics on words (68R15) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Radix representation; digital problems (11A63) Symbolic dynamics (37B10)
Related Items (2)
A quasi-ergodic approach to non-integer base expansions ⋮ Univoque bases of real numbers: simply normal bases, irregular bases and multiple rationals
Cites Work
- Unnamed Item
- Unnamed Item
- Hausdorff dimension of univoque sets and devil's staircase
- On the topological structure of univoque sets
- Invariant densities for random \(\beta\)-expansions
- Unique expansions of real numbers
- On the uniqueness of the expansions \(1=\sum q^{-n_i}\)
- Algebraic sums and products of univoque bases
- On small univoque bases of real numbers
- Dynamics of continued fractions and kneading sequences of unimodal maps
- Univoque bases of real numbers: local dimension, devil's staircase and isolated points
- Bifurcation sets arising from non-integer base expansions
- The Komornik-Loreti Constant Is Transcendental
- Univoque sets for real numbers
- A two-dimensional univoque set
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Unique Developments in Non-Integer Bases
- Almost Every Number Has a Continuum of b-Expansions
- An Introduction to Symbolic Dynamics and Coding
- Relative bifurcation sets and the local dimension of univoque bases
- On the bifurcation set of unique expansions
- 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
This page was built for publication: On the smallest base in which a number has a unique expansion
