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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.
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Conference papers
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https://hal.inria.fr/hal-00853758
Contributor : Anne Siegel <>
Submitted on : Friday, August 23, 2013 - 2:59:44 PM
Last modification on : Friday, July 10, 2020 - 4:11:11 PM

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  • HAL Id : hal-00853758, version 1

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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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