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arXiv · 1503.06081

Enumeration formulæ in neutral sets

Francesco Dolce·Dominique Perrin
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Abstract

We present several enumeration results holding in sets of words called neutral and which satisfy restrictive conditions on the set of possible extensions of nonempty words. These formulae concern return words and bifix codes. They generalize formulae previously known for Sturmian sets or more generally for tree sets. We also give a geometric example of this class of sets, namely the natural coding of some interval exchange transformations.

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Francesco Dolce, Dominique Perrin. 2015-03-20. Enumeration formulæ in neutral sets. https://arxiv.org/abs/1503.06081

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