Approximation properties of β-expansions
From MaRDI portal
Publication:5247628
DOI10.4064/aa168-3-4zbMath1362.11006arXiv1409.2744OpenAlexW2962942552MaRDI QIDQ5247628
Publication date: 24 April 2015
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.2744
Related Items (7)
Approximation properties of -expansions II ⋮ Inhomogeneous self-similar sets with overlaps ⋮ Overlapping Iterated Function Systems from the Perspective of Metric Number Theory ⋮ Intrinsic Diophantine approximation for overlapping iterated function systems ⋮ Quantitative recurrence and the shrinking target problem for overlapping iterated function systems ⋮ An analogue of Khintchine's theorem for self-conformal sets ⋮ Analogues of Khintchine’s theorem for random attractors
Cites Work
- Counting \(\beta \)-expansions and the absolute continuity of Bernoulli convolutions
- On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
- On the exceptional set for absolute continuity of Bernoulli convolutions
- Khintchine's problem in metric diophantine approximation
- Optimal expansions in non-integer bases
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Arithmetic Properties of Bernoulli Convolutions
- The equivalence of some Bernoulli convolutions to Lebesgue measure
- Unique Developments in Non-Integer Bases
- Sets with Large Intersection Properties
- Almost Every Number Has a Continuum of b-Expansions
- On approximation of real numbers by real algebraic numbers
- ON THE DIOPHANTINE PROPERTIES OF λ ‐EXPANSIONS
- Some comments on Garsia numbers
- A Frostman-Type Lemma for Sets with Large Intersections, and an Application to Diophantine Approximation
- Distribution Functions and the Riemann Zeta Function
- On a Family of Symmetric Bernoulli Convolutions
- Unique representations of real numbers in non-integer bases
This page was built for publication: Approximation properties of β-expansions
