Article ID Journal Published Year Pages File Type
4672753 Indagationes Mathematicae 2016 22 Pages PDF
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)
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