Classification of Escaping Exponential Maps

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dc.creatorFörster, Markus
dc.creatorRempe, Lasse
dc.creatorSchleicher, Dierk
dc.date2003-11-25
dc.date2007-03-03
dc.date.accessioned2026-07-07T08:48:24Z
dc.date.available2026-07-07T08:48:24Z
dc.descriptionWe give a complete classification of the set of parameters $κ$ for which the singular value of $E_κ:z\mapsto \exp(z)+κ$ escapes to infinity under iteration. In particular, we show that every path-connected component of this set is a curve to infinity.
dc.description13 pages, 1 figure -- final version (to appear in Proc. AMS); only minor changes from v5
dc.identifierhttps://arxiv.org/abs/math/0311427
dc.identifierhttp://arxiv.org/abs/math/0311427
dc.identifierProc. Amer. Math. Soc. 136 (2008), 651-663
dc.identifierdoi:10.1090/S0002-9939-07-09073-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143935
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F10, 30D05
dc.titleClassification of Escaping Exponential Maps
dc.typetext

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