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Jul 8, 2022 at 19:02 vote accept Anthony Quas
Jul 8, 2022 at 7:48 answer added Ville Salo timeline score: 6
Jul 6, 2022 at 5:27 history edited YCor
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Jul 5, 2022 at 22:35 comment added Dan Rust I would if I had a copy of Lothaire to hand, but unfortunately I don't. Maybe Ville will see the question in the morning.
Jul 5, 2022 at 22:17 comment added Anthony Quas Thanks @DanRust and all. Any chance this could be posted as an answer that I can accept?
Jul 5, 2022 at 21:41 comment added Dan Rust Does Lemma 7.4 (the first paragraph of the proof) in this paper: arxiv.org/pdf/2204.06215.pdf answer your question? Actually, it looks like Salo's thesis has a much more general statement (1.3.5 - 1.3.7) villesalo.com/article/SwSCA.pdf
Jul 5, 2022 at 21:11 comment added Dan Rust 'unbordered' is what I've seen most commonly. They're often used for instance to define non-trivial automorphisms of subshifts, or to show positive entropy of certain subshifts (essentially because of the replacement property/construction that you point out).
Jul 5, 2022 at 21:07 comment added Carl-Fredrik Nyberg Brodda They are counted on OEIS:A003000. In Russian literature this is often called "hypersimple", and "unbordered", "bifix-free", or "self-overlap free" are all common, too.
Jul 5, 2022 at 20:11 comment added Anthony Quas @SamHopkins: thanks for this.
Jul 5, 2022 at 20:04 comment added Sam Hopkins Okay, "bifix-free" is another term for this: encycla.com/Bifix-free_word
Jul 5, 2022 at 19:59 history edited LSpice CC BY-SA 4.0
Missing question mark; [tag:terminology]
Jul 5, 2022 at 19:42 history asked Anthony Quas CC BY-SA 4.0