Hausdorff dimension of the recurrence set of Gauss transformation

DOI10.1007/S00605-011-0338-9zbMath1262.11079OpenAlexW2009260774MaRDI QIDQ431166

Sikui Wang, Lan Zhang

Publication date: 26 June 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0338-9

zbMATH Keywords

Hausdorff dimensionGauss transformation

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)

Related Items (3)

On the interval maps associated to the \(\alpha\)-mediant convergents ⋮ Targets, local weak $\sigma$ -Gibbs measures and a generalized Bowen dimension formula ⋮ The recurrence set arising in \(\alpha\)-Lüroth transformation

Cites Work

• Unnamed Item
• Hausdorff dimension of certain sets arising in continued fraction expansions
• Quantitative recurrence results
• The ergodic theory of shrinking targets
• A remark on the growth of the denominators of convergents
• Hausdorff dimension of measures via Poincaré recurrence

This page was built for publication: Hausdorff dimension of the recurrence set of Gauss transformation