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Conference Papers Year : 2013

Generating discrete planes with substitutions


Given a finite set S of unimodular Pisot substitutions, we provide a method for characterizing the infinite sequences over S that allow to generate a full discrete plane when, starting from a finite seed, we iterate the multidimensional dual substitutions associated with S. We apply our results to study the substitutions associated with the Brun multidimensional continued fraction algorithm.
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hal-00853758 , version 1 (23-08-2013)


  • HAL Id : hal-00853758 , version 1


Valerie Berthe, Jérémie Bourdon, Timo Jolivet, Anne Siegel. Generating discrete planes with substitutions. WORDS - 9th International Conference on Words - 2013, Sep 2013, Turku, Finland. ⟨hal-00853758⟩
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