Turkish Journal of Mathematics
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.
DOI
-
Keywords
Multi-attractors, self-affine tiles, iterated function systems.
First Page
535
Last Page
544
Recommended Citation
KIRAT, İ (2001). On the Lebesgue Measure of Self-Affine Sets. Turkish Journal of Mathematics 25 (4): 535-544. https://doi.org/-