Corpus ID: 8870767

Substitutive Arnoux-Rauzy sequences have pure discrete spectrum

@article{Berth2011SubstitutiveAS,
  title={Substitutive Arnoux-Rauzy sequences have pure discrete spectrum},
  author={V. Berth{\'e} and T. Jolivet and A. Siegel},
  journal={ArXiv},
  year={2011},
  volume={abs/1108.5574}
}
  • V. Berthé, T. Jolivet, A. Siegel
  • Published 2011
  • Mathematics, Computer Science
  • ArXiv
  • We prove that the symbolic dynamical system generated by a purely substitutive Arnoux-Rauzy sequence is measurably conjugate to a toral translation. The proof is based on an explicit construction of a fundamental domain with fractal boundary (a Rauzy fractal) for this toral translation. 

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