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A Landing Theorem for Periodic Rays of Exponential Maps

Lasse Rempe
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Abstract

We answer a question of Schleicher by showing that, for an exponential map with nonescaping singular value, every periodic ray lands. This is an analog of a theorem of Douady and Hubbard concerning polynomials. We also prove a partial converse: there are periodic external rays landing at all periodic points, with the exception of at most one periodic orbit.

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Lasse Rempe. 2005-12-21. A Landing Theorem for Periodic Rays of Exponential Maps. https://doi.org/10.1090/s0002-9939-06-08287-6

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