Recurrence to shrinking targets on typical self-affine fractals

Henna Koivusalo; Felipe A. Ramírez

doi:10.1017/S0013091517000256

Recurrence to shrinking targets on typical self-affine fractals

Henna Koivusalo, Felipe A. Ramírez

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We explore the problem of finding the Hausdorff dimension of the set of points that recur to shrinking targets on a self-affine fractal. To be exact, we study the dimension of a certain related symbolic recurrence set. In many cases this set is equivalent to the recurring set on the fractal.

Original language	English
Pages (from-to)	387-400
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	61
Issue number	2
Early online date	15 Feb 2018
DOIs	https://doi.org/10.1017/S0013091517000256
Publication status	Published - May 2018

Bibliographical note

© 2018, The Edinburgh Mathematical Society. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

Keywords

math.DS
math.CA

Access to Document

10.1017/S0013091517000256

14097593v2Submitted manuscript, 205 KB
1409.7593
© 2018, The Edinburgh Mathematical Society. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details
Accepted author manuscript, 205 KB

https://arxiv.org/abs/1409.7593

Programme Grant-New Frameworks in metric Number Theory
Velani, S. & Beresnevich, V.
EPSRC
1/06/12 → 30/11/18
Project: Research project (funded) › Research

Cite this

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Recurrence to shrinking targets on typical self-affine fractals

Abstract

Bibliographical note

Keywords

Access to Document

Projects

Programme Grant-New Frameworks in metric Number Theory

Cite this