M ar 2 00 7 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.

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Cite this paper

@inproceedings{Schleicher2008MA2, title={M ar 2 00 7 CLASSIFICATION OF ESCAPING EXPONENTIAL MAPS}, author={Dierk Schleicher}, year={2008} }