On the Lebesgue Measure of Self-Affine Sets
Authors : Ibrahim Kirat
Pages : 535-544
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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.