Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Attractors of iterated function systems and associated graphs
Dan DumitruAlexandru Mihail
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2014 Volume 37 Issue 2 Pages 481-491

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Abstract
The aim of this article is to establish some conditions under which the attractors of iterated function systems become dendrites. We associate to an attractor of an iterated function system (IFS) some graphs and we prove that for a large class of IFSs their attractors are dendrites if the associated graphs are trees. We also give some examples of such sets.
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© 2014 Department of Mathematics, Tokyo Institute of Technology
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