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arXiv · 0804.0258

The critical exponent of the Arshon words

Dalia Krieger
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Abstract

Generalizing the results of Thue (for n = 2) and of Klepinin and Sukhanov (for n = 3), we prove that for all n greater than or equal to 2, the critical exponent of the Arshon word of order $n$ is given by (3n-2)/(2n-2), and this exponent is attained at position 1.

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Dalia Krieger. 2008-04-01. The critical exponent of the Arshon words. https://arxiv.org/abs/0804.0258

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