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arXiv · 2210.02371

Word of low complexity without uniform frequencies

Julien Cassaigne·Idrissa Kaboré
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Abstract

In this paper, we construct a uniformely recurrent infinite word of low complexity without uniform frequencies of letters. This shows the optimality of a bound of Boshernitzan, which gives a sufficient condition for a uniformly recurrent infinite word to admit uniform frequencies.

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Julien Cassaigne, Idrissa Kaboré. 2022-10-05. Word of low complexity without uniform frequencies. https://arxiv.org/abs/2210.02371

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