Hyperbolic dimension and radial Julia sets of transcendental functions

Simple item page
dc.creatorRempe, Lasse
dc.date2007-12-27
dc.date.accessioned2026-07-07T12:31:43Z
dc.date.available2026-07-07T12:31:43Z
dc.descriptionWe survey the definition of the radial Julia set of a meromorphic function (in fact, more generally, any "Ahlfors islands map"), and give a simple proof that the Hausdorff dimension of the reduced Julia set always coincides with the hyperbolic dimension.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0712.4267
dc.identifierhttp://arxiv.org/abs/0712.4267
dc.identifierProc. Amer. Math. Soc. 137 (2009), 1411-1420.
dc.identifierdoi:10.1090/S0002-9939-08-09650-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216544
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F35; 37F10; 30D05
dc.titleHyperbolic dimension and radial Julia sets of transcendental functions
dc.typetext

Files

Collections

arXiv