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.
| Original language | English |
|---|---|
| Pages (from-to) | 535-543 |
| Number of pages | 9 |
| Journal | Turkish Journal of Mathematics |
| Volume | 25 |
| Issue number | 4 |
| Publication status | Published - 2001 |
| Externally published | Yes |
Keywords
- Iterated function systems
- Multi-attractors
- Self-affine tiles