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ON A CERTAIN GENERALISATION OF THE ITERATED FUNCTION SYSTEM

Part of: Classical measure theory

Published online by Cambridge University Press:  14 August 2012

FILIP STROBIN  and
JAROSŁAW SWACZYNA
FILIP STROBIN*
Affiliation:
Institute of Mathematics, Łódź University of Technology, Wólczańska 215, 93-005 Łódź, Poland (email: filip.strobin@p.lodz.pl)
JAROSŁAW SWACZYNA
Affiliation:
Institute of Mathematics, Łódź University of Technology, Wólczańska 215, 93-005 Łódź, Poland (email: jswaczyna@wp.pl)
*
✉For correspondence; e-mail: filip.strobin@p.lodz.pl
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Abstract

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We follow the idea of generalising the notion of classical iterated function systems, as presented by Mihail and Miculescu. We give their deliberations a more general setting and, using this general approach, study the generic aspect of the problem of existence of an attractor of a function system.

Keywords

fractalsiterated function systemsfixed pointsBaire categoryporosity

MSC classification

Secondary: 28A80: Fractals
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 1 , February 2013 , pp. 37 - 54
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

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