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arxiv: 1502.02310 · v1 · pith:G7DH36RKnew · submitted 2015-02-08 · 🧮 math.CO · cs.FL

On Subword Complexity of Morphic Sequences

classification 🧮 math.CO cs.FL
keywords morphiccomplexitysequencessubwordarbitraryeitherfollowingmathbb
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We study structure of pure morphic and morphic sequences and prove the following result: the subword complexity of arbitrary morphic sequence is either $\Theta(n^{1+1/k})$ for some $k\in\mathbb N$, or is $O(n \log n)$.

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