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arXiv · 1606.03761

On a property discovered by Xavier Grandsart

Pierre Arnoux
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Abstract

We give a simple proof of the property discovered by Xavier Grandsart: let $W$ be a circular binary word; then the differences in the number of occurences $|W|_{0011}-|W|_{1100}$, $ |W|_{1101}-|W|_{1011}$ , $|W|_{1010}-|W|_{0101}$ and $|W|_{0100}-|W|_{0010}$ are equal.

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Pierre Arnoux. 2016-06-12. On a property discovered by Xavier Grandsart. https://arxiv.org/abs/1606.03761

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