A local balance property of episturmian words
<|reference_start|>A local balance property of episturmian words: 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.<|reference_end|>
@article{richomme2007a,
    title={A local balance property of episturmian words},
    author={Gw'ena"el Richomme (LaRIA)},
    journal={arXiv preprint arXiv:cs/0702060},
    year={2007},
    number={LaRIA-LRR-2007-02},
    archivePrefix={arXiv},
    eprint={cs/0702060},
    primaryClass={cs.DM}
}