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arXiv · 1910.08546

Automatic sequences are also non-uniformly morphic

Jean-Paul Allouche·Jeffrey Shallit
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Abstract

It is well-known that there exist infinite sequences that are the fixed point of non-uniform morphisms, but not $k$-automatic for any $k$. In this note we show that every $k$-automatic sequence is the image of a fixed point of a {\it non-uniform\/} morphism.

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Jean-Paul Allouche, Jeffrey Shallit. 2019-10-18. Automatic sequences are also non-uniformly morphic. https://arxiv.org/abs/1910.08546

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