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- W4289400728 abstract "A finite word $u$ is called closed if its longest repeated prefix has exactly two occurrences in $u,$ once as a prefix and once as a suffix. We study the function $f_x^c:mathbb N rightarrow mathbb N$ which counts the number of closed factors of each length in an infinite word $x.$ We derive an explicit formula for $f_x^c$ in case $x$ is an Arnoux-Rauzy word. As a consequence we prove that $liminf _{nrightarrow infty}f_x^c(n)=+infty.$" @default.
- W4289400728 created "2022-08-02" @default.
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- W4289400728 date "2018-10-12" @default.
- W4289400728 modified "2023-09-25" @default.
- W4289400728 title "Open and closed factors of Arnoux-Rauzy words" @default.
- W4289400728 doi "https://doi.org/10.48550/arxiv.1810.05472" @default.
- W4289400728 hasPublicationYear "2018" @default.
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