Connected escaping sets of exponential maps
Dynamical Systems
2015-08-13 v2 Complex Variables
Abstract
We show that for many complex parameters a, the set of points that converge to infinity under iteration of the exponential map f(z)=e^z+a is connected. This includes all parameters for which the singular value escapes to infinity under iteration.
Cite
@article{arxiv.0910.4680,
title = {Connected escaping sets of exponential maps},
author = {Lasse Rempe},
journal= {arXiv preprint arXiv:0910.4680},
year = {2015}
}
Comments
9 pages; minor revisions from Version 1