Recurrence to shrinking targets on typical self-affine fractals
  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. 
Henna Koivusalo and Felipe A. Ram\'irez
math.DS math.CA