On the number of return words in infinite words with complexity 2n+1

Mathematics – Combinatorics

Scientific paper

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Scientific paper

In this article, we count the number of return words in some infinite words
with complexity 2n+1. We also consider some infinite words given by codings of
rotation and interval exchange transformations on k intervals. We prove that
the number of return words over a given word w for these infinite words is
exactly k.

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