Uniformly perfect sets, rational semigroups, Kleinian groups and IFS's

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dc.creatorStankewitz, Rich
dc.date1998-10-14
dc.date.accessioned2026-07-07T05:26:27Z
dc.date.available2026-07-07T05:26:27Z
dc.descriptionWe show that the Julia set of a non-elementary rational semigroup G is uniformly perfect when there is a uniform bound on the Lipschitz constants of the generators of G. This also proves that the limit set of a non-elementary Moebius group is uniformly perfect when there is a uniform bound on the Lipschitz constants of the generators of the group and this implies that the limit set of a finitely generated non-elementary Kleinian group is uniformly perfect.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/9810089
dc.identifierhttp://arxiv.org/abs/math/9810089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77556
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject30D05; 58F23
dc.titleUniformly perfect sets, rational semigroups, Kleinian groups and IFS's
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