Slow escape in tracts
Dynamical Systems
2018-09-05 v1 Complex Variables
Abstract
Let be a transcendental entire function. By a result of Rippon and Stallard, there exist points whose orbit escapes arbitrarily slowly. By using a range of techniques to prove new covering results, we extend their theorem to prove the existence of points which escape arbitrarily slowly within logarithmic tracts and tracts with certain boundary properties. We then give examples to illustrate our results in a variety of tracts.
Keywords
Cite
@article{arxiv.1809.01068,
title = {Slow escape in tracts},
author = {James Waterman},
journal= {arXiv preprint arXiv:1809.01068},
year = {2018}
}
Comments
15 pages