Automatic Sequences Are Also Non-uniformly Morphic

Jean-Paul Allouche () and Jeffrey Shallit ()
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Jean-Paul Allouche: Sorbonne
Jeffrey Shallit: University of Waterloo

A chapter in Discrete Mathematics and Applications, 2020, pp 1-6 from Springer

Abstract: Abstract It is well-known that there exist infinite sequences that are fixed points 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 non-uniform morphism.

Date: 2020
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DOI: 10.1007/978-3-030-55857-4_1

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