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.
KIRAT, İBRAHİM (2001) "On the Lebesgue Measure of Self-Affine Sets," Turkish Journal of Mathematics: Vol. 25: No. 4, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol25/iss4/7