The recurrence set arising in \(\alpha\)-Lüroth transformation
type: Item
instance of: scholarly article
title: The recurrence set arising in \(\alpha\)-Lüroth transformation
zbMATH Open document ID: 1332.11076
published in: Journal of Number Theory
publication date: 2015-10-21T00:00:00Z
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 11J70
zbMATH DE Number: 6497368
zbMATH Keywords: \(\alpha\)-Lüroth expansion
zbMATH Keywords: recurrence set
zbMATH Keywords: Hausdorff dimension
author: Luming Shen
author: Xin-Qiang Li
MaRDI profile type: Publication
full work available at URL: j.jnt.2015.07.020
OpenAlex ID: W1752273728
cites work: Hausdorff dimension of measures via Poincaré recurrence
cites work: Quantitative recurrence results
cites work: The Hausdorff dimension of certain sets in a class of \(\alpha \)-Lüroth expansions
cites work: Dynamical Borel-Cantelli lemmas for Gibbs measures
cites work: MIXING IN THE ABSENCE OF THE SHRINKING TARGET PROPERTY
cites work: Dimension via waiting time and recurrence
cites work: Q3980370
cites work: Strong renewal theorems and Lyapunov spectra for \(\alpha \)-Farey and \(\alpha \)-Lüroth systems
cites work: The shrinking target problem in the dynamical system of continued fractions
cites work: A note on Diophantine fractals for \(\alpha \)-Lüroth systems
cites work: On circle rotations and the shrinking target properties
cites work: Hausdorff dimension of the recurrence set of Gauss transformation
DOI: 10.1016/J.JNT.2015.07.020
description: scientific article; zbMATH DE number 6497368