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A local balance property of episturmian words

Gwénaël Richomme
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Abstract

We prove that episturmian words and Arnoux-Rauzy sequences can be characterized using a local balance property. We also give a new characterization of epistandard words and show that the set of finite words that are not factors of an episturmian word is not context-free.

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Gwénaël Richomme. 2008-02-07. A local balance property of episturmian words. https://arxiv.org/abs/cs/0702060

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