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arXiv · 2206.01776

Properties of a Ternary Infinite Word

James Currie·Pascal Ochem·Narad Rampersad·Jeffrey Shallit
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Abstract

We study the properties of the ternary infinite word p = 012102101021012101021012 ... , that is, the fixed point of the map h:0->01, 1->21, 2->0. We determine its factor complexity, critical exponent, and prove that it is 2-balanced. We compute its abelian complexity and determine the lengths of its bispecial factors. Finally, we give a characterization of p in terms of avoided factors.

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James Currie, Pascal Ochem, Narad Rampersad, Jeffrey Shallit. 2022-06-03. Properties of a Ternary Infinite Word. https://arxiv.org/abs/2206.01776

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