On the Lebesgue Measure of Self-Affine Sets

Authors: İBRAHİM KIRAT

Abstract: Flaherty and Wang studied Haar-type multiwavelets and multi-tiles. The information on what digit sets give multi-attractors with positive Lebesgue measure is very limited. In this note, we give a few classes of digit sets leading to multi-attractors with positive measure. The attractors we obtain include the Haar-type multi-tiles of Flaherty and Wang.

Keywords: Multi-attractors, self-affine tiles, iterated function systems.

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