Title

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.

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