Connected escaping sets of exponential maps

Details Connected escaping sets of exponential maps Connected escaping sets of exponential maps

2009-10-24

arxiv.org/abs/0910.4680v2

Ann. Acad. Sci. Fenn. 36 (2011), 71-80

Mathematics

Dynamical Systems

9 pages; minor revisions from Version 1

Scientific paper

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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