Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-09T12:43:06.063Z Has data issue: false hasContentIssue false

UNIFORMLY PERFECT ANALYTIC AND CONFORMAL ATTRACTOR SETS

Published online by Cambridge University Press:  14 June 2001

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]
Get access

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
Copyright
© The London Mathematical Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)