On the topological structure of univoque sets
From MaRDI portal
Publication:863965
DOI10.1016/j.jnt.2006.04.006zbMath1111.11005OpenAlexW1972868132MaRDI QIDQ863965
Publication date: 12 February 2007
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2006.04.006
Combinatorics on words (68R15) Special sequences and polynomials (11B83) Radix representation; digital problems (11A63)
Related Items
Univoque graphs for non-integer base expansions, Topology of the set of univoque bases, Topology of univoque sets in real base expansions, Density spectrum of Cantor measure, UNIQUE EXPANSION OF POINTS OF A CLASS OF SELF‐SIMILAR SETS WITH OVERLAPS, Expansions in multiple bases over general alphabets, Hausdorff dimension of univoque sets and devil's staircase, Algebraic sums and products of univoque bases, Univoque bases and Hausdorff dimension, Unique infinite expansions in noninteger bases, Univoque bases of real numbers: simply normal bases, irregular bases and multiple rationals, On small univoque bases of real numbers, Bifurcations of digit frequencies in unique expansions, The Two-Dimensional Density of Bernoulli Convolutions, Invariant measures, matching and the frequency of 0 for signed binary expansions, Univoque bases of real numbers: local dimension, devil's staircase and isolated points, Univoque Numbers and Automatic Sequences, The -transformation with a hole at 0, On a problem of countable expansions, Critical bases for ternary alphabets, On univoque and strongly univoque sets, Entropy, topological transitivity, and dimensional properties of unique 𝑞-expansions, A property of algebraic univoque numbers, Cantor type functions in non-integer bases, Digital expansions with negative real bases, Periodicity, repetitions, and orbits of an automatic sequence, On small bases which admit points with two expansions, Expansions in multiple bases, On the number of unique expansions in non-integer bases, Expansions in Cantor real bases, Bases in which some numbers have exactly two expansions, Expansions in non-integer bases: lower, middle and top orders, Unique expansions of real numbers, Numbers with simply normal β-expansions, Hausdorff dimension of multiple expansions, Fibonacci expansions, On the continuity of the Hausdorff dimension of the univoque set, Hausdorff dimension of frequency sets of univoque sequences, How inhomogeneous Cantor sets can pass a point, Optimal expansions in non-integer bases, Relative bifurcation sets and the local dimension of univoque bases, On the specification property and synchronization of uniqueq-expansions, On the smallest base in which a number has a unique expansion, Expansions of generalized Thue-Morse numbers, How likely can a point be in different Cantor sets
Cites Work
- On the uniqueness of the expansions \(1=\sum q^{-n_i}\)
- Developments in non-integer bases
- Subexpansions, superexpansions and uniqueness properties in non-integer bases
- An approximation property of Pisot numbers
- The Komornik-Loreti Constant Is Transcendental
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- On the sequence of numbers of the form $ε₀ + ε₁q + ... + ε_nq^n$, $ε_i ∈ {0,1}$
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item