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arXiv · 0809.2776

Bounds on the frequency of 1 in the Kolakoski word

Elizabeth J. Kupin·Eric S. Rowland
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Abstract

We use a method of Goulden and Jackson to bound freq_1(K), the limiting frequency of 1 in the Kolakoski word K. We prove that |freq_1(K) - 1/2| <= 17/762, assuming the limit exists, and establish the semi-rigorous bound |freq_1(K) - 1/2| <= 1/46.

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Elizabeth J. Kupin, Eric S. Rowland. 2008-09-26. Bounds on the frequency of 1 in the Kolakoski word. https://arxiv.org/abs/0809.2776

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