Classification of Escaping Exponential Maps

Abstract

We give a complete classification of the set of parameters κ for which the singular value of Eκ : z 7→ exp(z) + κ escapes to ∞ under iteration. In particular, we show that every path-connected component of this set is a curve to infinity.

Cite this paper

@inproceedings{Schleicher2008ClassificationOE, title={Classification of Escaping Exponential Maps}, author={Dierk Schleicher}, year={2008} }