Approximation orders of the unit in the \(\beta\)-dynamical systems
type: Item
instance of: scholarly article
title: Approximation orders of the unit in the \(\beta\)-dynamical systems
zbMATH Open document ID: 1413.11092
author: Chunyun Cao
author: Yuanhong Chen
published in: Acta Mathematica Hungarica
publication date: 2018-03-14T00:00:00Z
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 6850204
zbMATH Keywords: approximation order
zbMATH Keywords: \(\beta\)-dynamical system
zbMATH Keywords: Hausdorff dimension
MaRDI profile type: Publication
full work available at URL: s10474-017-0776-5
OpenAlex ID: W2771177459
cites work: \(\beta\)-expansions and symbolic dynamics
cites work: Diophantine approximation of the orbit of 1 in the dynamical system of beta expansions
cites work: Diophantine analysis in beta-dynamical systems and Hausdorff dimensions
cites work: On theβ-expansions of real numbers
cites work: Dyadic Diophantine approximation and Katok's horseshoe approximation
cites work: Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
cites work: Representations for real numbers and their ergodic properties
cites work: Symbolic dynamics for $\beta$-shifts and self-normal numbers
cites work: Quantitative recurrence properties for beta-dynamical system
DOI: 10.1007/S10474-017-0776-5
description: scientific article; zbMATH DE number 6850204