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arXiv · 0910.4680

Connected escaping sets of exponential maps

Lasse Rempe
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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.

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Lasse Rempe. 2009-11-17. Connected escaping sets of exponential maps. https://doi.org/10.5186/aasfm.2011.3604

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