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UNIFORMLY PERFECT ANALYTIC AND CONFORMAL ATTRACTOR SETS
Published online by Cambridge University Press: 14 June 2001
Abstract
Conditions are given which imply that analytic iterated function systems (IFSs) in the complex plane [Copf ] have uniformly perfect attractor sets. In particular, it is shown that the attractor set of a finitely generated conformal IFS is uniformly perfect when it contains two or more points. Also, an example is given of a finitely generated analytic attractor set which is not uniformly perfect.
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- © The London Mathematical Society 2001
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