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Displaying similar documents to “Ensembles normaux et équirépartition complète”

Système dynamique à spectre discret et pavage périodique associé à une substitution

Anne Siegel (2004)

Annales de l’institut Fourier

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On donne une condition combinatoire effective suffisante pour que le sytème dynamique associé à une substitution de type Pisot ait un spectre purement discret. Dans le cas unimodulaire, cette condition est nécessaire dès que la substitution n'a qu'un cobord trivial ; elle est vérifiée si et seulement si le fractal de Rauzy associé à la substitution engendre un pavage auto-similaire et périodique. On en déduit des conditions de connexité des fractals de Rauzy. ...