Symmetric and congruent Rauzy fractals

About the paper

coauthors Klaus Scheicher
Víctor F. Sirvent
language English
published in Indagationes Mathematicae 27, No. 3 (2016)
pages 799 to 820
DOI 10.1016/j.indag.2016.01.011
supported by FWF, project P23990

Abstract

Two Rauzy fractals are congruent if they differ by an affne 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.

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Indagationes Mathematicae
Austrian Science Foundation (FWF)