Koivusalo, Henna and Ramírez, Felipe A. (2018) Recurrence to shrinking targets on typical self-affine fractals. Proceedings of the Edinburgh Mathematical Society. pp. 387-400. ISSN 1464-3839
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 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 |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Funding Information: | Funder Grant number EPSRC EP/J018260/1 |
Depositing User: | Pure (York) |
Date Deposited: | 24 Feb 2017 10:40 |
Last Modified: | 21 Jan 2025 17:25 |
Published Version: | https://doi.org/10.1017/S0013091517000256 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1017/S0013091517000256 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:112732 |
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