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The authors study the ℓ-boundary sequence of an infinite word, which is the sequence of pairs of prefixes and suffixes of length ℓ appearing in factors of length n + ℓ. They show that if an infinite word is U-automatic, then its ℓ-boundary sequence is also U-automatic, and provide examples where this is not the case. They also study the ℓ-boundary sequence of a Sturmian word, showing it can be obtained through a sliding block code from the characteristic Sturmian word of the same slope, and is the image under a morphism of some other characteristic Sturmian word.

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Description

The authors study the ℓ-boundary sequence of an infinite word, which is the sequence of pairs of prefixes and suffixes of length ℓ appearing in factors of...

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  • File Format: PDF
  • File Size: 910 KB
  • Pages: 16
  • Language: EN
  • Total Downloads: 268
  • Last Updated: 3 weeks ago

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