Recurrence to shrinking targets on typical self-affine fractals
Dynamical Systems
2018-12-19 v2 Classical Analysis and ODEs
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.
Cite
@article{arxiv.1409.7593,
title = {Recurrence to shrinking targets on typical self-affine fractals},
author = {Henna Koivusalo and Felipe A. Ramírez},
journal= {arXiv preprint arXiv:1409.7593},
year = {2018}
}
Comments
16 pages; v2: main result has improved