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Classification of Escaping Exponential Maps

Markus Förster·Lasse Rempe·Dierk Schleicher
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Abstract

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

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Markus Förster, Lasse Rempe, Dierk Schleicher. 2007-03-03. Classification of Escaping Exponential Maps. https://doi.org/10.1090/s0002-9939-07-09073-9

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