Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672753 | Indagationes Mathematicae | 2016 | 22 Pages |
Abstract
Two Rauzy fractals are congruent if they differ by an affine transformation only. We give conditions on unimodular Pisot substitutions in order to ensure the congruence of the Rauzy fractals. We use these results to characterise a large family of substitutions that yield central symmetric Rauzy fractals in terms of the induced language.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Klaus Scheicher, Víctor F. Sirvent, Paul Surer,