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arXiv · 1409.7593

Recurrence to shrinking targets on typical self-affine fractals

Henna Koivusalo·Felipe A. Ramírez
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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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Henna Koivusalo, Felipe A. Ramírez. 2014-09-26. Recurrence to shrinking targets on typical self-affine fractals. https://arxiv.org/abs/1409.7593

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