The escaping set of a quasiregular mapping

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dc.creatorBergweiler, Walter
dc.creatorFletcher, Alastair
dc.creatorLangley, Jim
dc.creatorMeyer, Janis
dc.date2008-02-01
dc.date.accessioned2026-07-07T12:30:43Z
dc.date.available2026-07-07T12:30:43Z
dc.descriptionWe show that if the maximum modulus of a quasiregular mapping f grows sufficiently rapidly then there exists a non-empty escaping set I(f) consisting of points whose forward orbits under iteration tend to infinity. This set I(f) has an unbounded component but, in contrast to the case of entire functions on the complex plane, the closure of I(f) may have a bounded component.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0802.0119
dc.identifierhttp://arxiv.org/abs/0802.0119
dc.identifierProc. Amer. Math. Soc. 137 (2009), 641-651
dc.identifierdoi:10.1090/S0002-9939-08-09609-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216218
dc.subjectComplex Variables
dc.subject30C65, 30C62, 37F10
dc.titleThe escaping set of a quasiregular mapping
dc.typetext

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