Fractal Tiles and Quasidisks

Authors

Da-Wen Deng, Xiangtan UniversityFollow
Sze-Man Ngai, Georgia Southern UniversityFollow

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