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arXiv · 2406.17867

The Repetition Threshold for Rote Sequences

Nicolas Ollinger·Jeffrey Shallit
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Abstract

We consider Rote words, which are infinite binary words with factor complexity $2n$. We prove that the repetition threshold for this class is $5/2$. Our technique is purely computational, using the Walnut theorem prover and a new technique for generating automata from morphisms due to the first author and his co-authors.

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Nicolas Ollinger, Jeffrey Shallit. 2024-06-28. The Repetition Threshold for Rote Sequences. https://arxiv.org/abs/2406.17867

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