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Boundary Points of Self-Affine Sets in R
Self-affine sets boundary points strict product-form digits
2010/3/1
Let A be an n \times n expanding matrix with integer entries and D = \{0, d1, ... , dN-1 \} \subseteq {\Bbb{Z}}n be a set of N distinct vectors, called an N-digit set. The unique non-empty compact set...
On the Lebesgue Measure of Self-Affine Sets
Multi-attractors self-affine tiles iterated function systems
2010/3/1
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 ...