Quantitative recurrence properties and homogeneous self-similar sets

DOI10.1090/proc/14287zbMath1431.28008arXiv1801.10334OpenAlexW2963125972WikidataQ128929679 ScholiaQ128929679MaRDI QIDQ4621357

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Publication date: 12 February 2019

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

Full work available at URL: https://arxiv.org/abs/1801.10334

zbMATH Keywords

Hausdorff measureself-similar setquantitative recurrence

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)

Related Items (9)

A strong Borel–Cantelli lemma for recurrence ⋮ Dynamical Borel–Cantelli lemma for recurrence theory ⋮ ON THE HAUSDORFF MEASURE OF SHRINKING TARGET SETS ON SELF‐CONFORMAL SETS ⋮ On Shrinking Targets and Self-returning Points ⋮ Hausdorff dimensions of recurrent and shrinking target sets under Lipschitz functions for expanding Markov maps ⋮ Quantitative recurrence and the shrinking target problem for overlapping iterated function systems ⋮ Quantitative recurrence properties for self-conformal sets ⋮ Modified shrinking target problems on self-conformal sets ⋮ Dynamical Borel–Cantelli lemma for recurrence under Lipschitz twists

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