%0 Journal Article
%T Uniformly perfect analytic and conformal attractor sets
%A Rich Stankewitz
%J Mathematics
%D 2007
%I arXiv
%X Conditions are given which imply that analytic iterated function systems (IFS's) in the complex plane 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 of a finitely generated analytic attractor set which is not uniformly perfect is given.
%U http://arxiv.org/abs/0708.3192v1