On the set where the iterates of an entire function are bounded
Dynamical Systems
2012-02-14 v1 Complex Variables
Abstract
We show that for a transcendental entire function the set of points whose orbit under iteration is bounded can have arbitrarily small positive Hausdorff dimension.
Cite
@article{arxiv.1012.1279,
title = {On the set where the iterates of an entire function are bounded},
author = {Walter Bergweiler},
journal= {arXiv preprint arXiv:1012.1279},
year = {2012}
}
Comments
7 pages