Abstract
We present a new procedure to approximate, with arbitrarily small and controlled error, the attractor set of a countable iterated function system. Such procedure can be applied to iterated function systems. A key tool here is the \(\alpha \)-dense curves which are, from the Hausdorff metric point of view, a generalization of the space-filling curves.
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García, G. Approximating the Attractor Set of Countable Iterated Function Systems by \(\alpha \)-Dense Curves. Mediterr. J. Math. 14, 67 (2017). https://doi.org/10.1007/s00009-017-0845-6
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DOI: https://doi.org/10.1007/s00009-017-0845-6