Estimating the Hausdorff measure using recurrence

DOI10.1017/s0013091523000755arXiv1911.12992OpenAlexW4390816960WikidataQ130145212 ScholiaQ130145212MaRDI QIDQ6122462

Łukasz Pawelec

Publication date: 1 March 2024

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12992

zbMATH Keywords

recurrenceHausdorff measurePoincaré theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• Quantitative recurrence results
• Recurrence of transformations with absolutely continuous invariant measures.
• ITERATED LOGARITHM SPEED OF RETURN TIMES
• From a Packing Problem to Quantitative Recurrence in [0,1 and the Lagrange Spectrum of Interval Exchanges]
• Hausdorff dimension of measures via Poincaré recurrence

This page was built for publication: Estimating the Hausdorff measure using recurrence