Boundary parametrization and the topology of tiles

Research output: Contribution to journalArticleResearchpeer-review

Authors

External Organisational units

  • 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 languageEnglish
Pages (from-to)127-164
Number of pages38
JournalNagoya Mathematical Journal
Volume226.2017
Issue numberJune
DOIs
Publication statusE-pub ahead of print - 19 Oct 2016