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].
@article{107911, author = {Nicolae-Adrian Secelean}, title = {Parameterized curve as attractors of some countable iterated function systems}, journal = {Archivum Mathematicum}, volume = {040}, year = {2004}, pages = {287-293}, zbl = {1115.28008}, mrnumber = {2107024}, language = {en}, url = {http://dml.mathdoc.fr/item/107911} }
Secelean, Nicolae-Adrian. Parameterized curve as attractors of some countable iterated function systems. Archivum Mathematicum, Tome 040 (2004) pp. 287-293. http://gdmltest.u-ga.fr/item/107911/
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