Mathematical Sciences: Faculty Publications
Fractal Tiles and Quasidisks
Document Type
Article
Publication Date
2-2015
Publication Title
Mathematische Zeitschrift
DOI
10.1007/s00209-014-1372-9
Abstract
We show that the interiors of a large class of planar disklike self-similar tiles are quasidisks. We also show that in general, the interior of a disklike self-affine tile may not be a John domain and thus may not be a quasidisk.
Recommended Citation
Deng, Da-Wen, Sze-Man Ngai.
2015.
"Fractal Tiles and Quasidisks."
Mathematische Zeitschrift, 279 (1-2): 359-387.
doi: 10.1007/s00209-014-1372-9
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/305
Copyright
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