Boundary parametrization and the topology of tiles
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Authors
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- Institute of Mathematics, University of Tsukuba
Abstract
As an application of the boundary parametrization developed in our previous papers, we propose a new method to deduce information on the connected components of the interior of tiles. This gives a systematic way to study the topology of a certain class of self-affine tiles. An example due to Bandt and Gelbrich is examined to prove the efficiency of the method.
Details
Original language | English |
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Pages (from-to) | 127-164 |
Number of pages | 38 |
Journal | Nagoya Mathematical Journal |
Volume | 226.2017 |
Issue number | June |
DOIs | |
Publication status | E-pub ahead of print - 19 Oct 2016 |