On the topology of polynomials with bounded integer coefficients
From MaRDI portal
Publication:2633999
DOI10.4171/JEMS/587zbMath1332.11066arXiv1109.1407OpenAlexW2963444879MaRDI QIDQ2633999
Publication date: 5 February 2016
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.1407
Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Hausdorff and packing measures (28A78) Approximation by numbers from a fixed field (11J17)
Related Items (13)
On topology of polynomial type sequences with bounded integer coefficients ⋮ Geometric and combinatorial properties of self-similar multifractal measures ⋮ Alternate Base Numeration Systems ⋮ On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure ⋮ Spectrum, algebraicity and normalization in alternate bases ⋮ On universal and periodic \(\beta\)-expansions, and the Hausdorff dimension of the set of all expansions ⋮ On the structure of \(\lambda\)-Cantor set with overlaps ⋮ Notes on some of Kahane's works: Ingham type theorems and Bernoulli convolutions ⋮ On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne ⋮ Finite type in measure sense for self-similar sets with overlaps ⋮ On a kind of self-similar sets with complete overlaps ⋮ Periodic representations in Salem bases ⋮ When the weak separation condition implies the generalized finite type condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multifractal formalism for self-similar measures with weak separation condition
- Approximation properties of polynomials with bounded integer coefficients
- Developments in non-integer bases
- Multifractal measures and a weak separation condition
- On a property of Pisot numbers and related questions
- Dimension of a family of singular Bernoulli convolutions
- Approximation by polynomials with coefficients \(\pm 1\).
- Discrete spectra and Pisot numbers
- Approximation by polynomials with bounded coefficients
- On spectra of neither Pisot nor Salem algebraic integers
- Iterated function systems of finite type and the weak separation property
- Some computations on the spectra of Pisot and Salem numbers
- Separation Conditions for Iterated Function Systems with Overlaps
- On the topology of sums in powers of an algebraic number
- HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
- Arithmetic Properties of Bernoulli Convolutions
- Weak separation properties for self-similar sets
- On the sequence of numbers of the form $ε₀ + ε₁q + ... + ε_nq^n$, $ε_i ∈ {0,1}$
- SMOOTHNESS OF THE $L^{\lowercase{q}}$-SPECTRUM OF SELF-SIMILAR MEASURES WITH OVERLAPS
- On Sums of Powers of a Number
- Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
This page was built for publication: On the topology of polynomials with bounded integer coefficients