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

Laurent Vuillon
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Abstract

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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Laurent Vuillon. 2000-09-08. On the number of return words in infinite words with complexity 2n+1. https://arxiv.org/abs/math/0009094

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