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.
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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) | ||||
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Depositing User: | Pure (York) | ||||
Date Deposited: | 24 Feb 2017 10:40 | ||||
Last Modified: | 01 Feb 2024 00:23 | ||||
Published Version: | https://doi.org/10.1017/S0013091517000256 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1017/S0013091517000256 | ||||
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