Uniformly Perfect Analytic and Conformal Attractor Sets | Zendy

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Uniformly Perfect Analytic and Conformal Attractor Sets

Author(s) -

Stankewitz Rich

Publication year - 2001

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1017/s0024609301007950

Subject(s) - attractor , mathematics , conformal map , iterated function system , iterated function , pure mathematics , set (abstract data type) , function (biology) , plane (geometry) , mathematical analysis , geometry , evolutionary biology , computer science , biology , programming language

Conditions are given which imply that analytic iterated function systems (IFSs) in the complex plane C 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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