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On the symmetric intersection of Rauzy fractals associated with the k-bonacci substitution
Journal article   Peer reviewed

On the symmetric intersection of Rauzy fractals associated with the k-bonacci substitution

Hamdi Ammar, Julien Cassaigne and Tarek Sellami
Quaestiones mathematicae, Vol.44(2), pp.199-216
01/02/2021
DOI: https://doi.org/10.2989/16073606.2019.1680455

Abstract

balanced pairs algorithm fractal sets k-bonacci Substitutions
In this article, we study the intersection of Rauzy fractals associated with the k-bonacci substitution and its reversed substitution. Applying the balanced pair algorithm to these two substitutions, we characterise all minimal balanced pairs, and we obtain a general formula for the associated intersection substitution. This substitution is defined over letters.

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