Symmetric Intersections of Rauzy Fractals |
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Authors: | Tarek Sellami |
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Institution: | Sfax University, Faculty of sciences of Sfax, Department of mathematics, Route Soukra BP 802, 3018 Sfax, Tunisia. E-Mail tarek.sellami.math@gmail.com |
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Abstract: | In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is reflection through the origin. Given an unimodular irreducible Pisot substitution, we consider the intersection of its Rauzy fractal with the Rauzy fractal of the reverse substitution. This set is symmetric and it is obtained by the balanced pair algorithm associated with both substitutions. |
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Keywords: | 28A80 11B85 37B10 |
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