Recurrence to shrinking targets on typical self-affine fractals (1409.7593v2)

Published 26 Sep 2014 in math.DS and math.CA

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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