Generating discrete planes with substitutions

Abstract : 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.
Type de document :
Communication dans un congrès
WORDS - 9th International Conference on Words - 2013, Sep 2013, Turku, Finland. 2013
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https://hal.inria.fr/hal-00853758
Contributeur : Anne Siegel <>
Soumis le : vendredi 23 août 2013 - 14:59:44
Dernière modification le : mardi 16 janvier 2018 - 15:54:19

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  • HAL Id : hal-00853758, version 1

Citation

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

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