Geodesic
Parameterized curve as attractors of some countable iterated function systems
Archivum mathematicum, Tome 40 (2004) no. 3, pp. 287-293.

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In this paper we will demonstrate that, in some conditions, the attractor of a countable iterated function system is a parameterized curve. This fact results by generalizing a construction of J. E. Hutchinson [Hut81].
Classification : 28A80, 37C70, 47H10
Keywords: Hausdorff metric; countable iterated function system; attractor 
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     title = {Parameterized curve as attractors of some countable iterated function systems},
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Secelean, Nicolae-Adrian. Parameterized curve as attractors of some countable iterated function systems. Archivum mathematicum, Tome 40 (2004) no. 3, pp. 287-293. http://geodesic.mathdoc.fr/item/ARM_2004__40_3_a8/