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arxiv: 1409.7593 · v2 · pith:2B3T7QXKnew · submitted 2014-09-26 · 🧮 math.DS · math.CA

Recurrence to shrinking targets on typical self-affine fractals

classification 🧮 math.DS math.CA
keywords dimensionfractalrecurrenceself-affineshrinkingtargetscasescertain
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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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