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UNIFORMLY PERFECT ANALYTIC AND CONFORMAL ATTRACTOR SETS

Published online by Cambridge University Press:  14 June 2001

RICH STANKEWITZ
RICH STANKEWITZ
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843, USA; [email protected] Current address: School of Science, Penn State University at Erie, Station Road, Erie, PA 16563, USA; [email protected]
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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.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 3 , May 2001 , pp. 320 - 330
Copyright
© The London Mathematical Society 2001

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