A Landing Theorem for Periodic Rays of Exponential Maps

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dc.creatorRempe, Lasse
dc.date2003-07-29
dc.date2005-12-21
dc.date.accessioned2026-07-07T08:48:24Z
dc.date.available2026-07-07T08:48:24Z
dc.descriptionWe 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.
dc.description10 pages, 2 figures // V4. Final Version - figures and references have been updated
dc.identifierhttps://arxiv.org/abs/math/0307371
dc.identifierhttp://arxiv.org/abs/math/0307371
dc.identifierProc. Amer. Math. Soc. 134 (2006), 2639-2648.
dc.identifierdoi:10.1090/S0002-9939-06-08287-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143932
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F10 (primary); 30D05 (secondary)
dc.titleA Landing Theorem for Periodic Rays of Exponential Maps
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