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Abstract Let T = T ( A , D ⁎ ) be a disk-like Z 2 -tile generated by an expanding 2 × 2 matrix A and a digit set… Click to show full abstract
Abstract Let T = T ( A , D ⁎ ) be a disk-like Z 2 -tile generated by an expanding 2 × 2 matrix A and a digit set D ⁎ ⊂ Z 2 . We study the subset F of T defined by A F = F + D , where D ⊊ D ⁎ is a sub-digit set. By studying a periodic extension H = F + Z 2 , we classify F into three types according to their topological properties, which generalizes a result of Lau et al. [13] . We also provide some simple criteria for such classification.
Keywords:
structure class;
planar self;
affine sets;
topological structure;
class planar;
self affine
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
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recommendations!