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Recurrence to shrinking targets on typical self-affine fractals

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JournalProceedings of the Edinburgh Mathematical Society
DateSubmitted - 26 Sep 2014
DateAccepted/In press - 27 Oct 2016
DateE-pub ahead of print - 15 Feb 2018
DatePublished (current) - May 2018
Issue number2
Volume61
Pages (from-to)387-400
Early online date15/02/18
Original languageEnglish

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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© 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

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  • math.DS, math.CA

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