Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Classification of escaping exponential maps

Author(s): Markus Förster; Lasse Rempe; Dierk Schleicher
Journal: Proc. Amer. Math. Soc. 136 (2008), 651-663.
MSC (2000): Primary 37F10; Secondary 30D05
Posted: November 1, 2007
MathSciNet review: 2358507
Retrieve article in: PDF

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

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