Two-block substitutions and morphic words
Michel Dekking (TU Delft - Electrical Engineering, Mathematics and Computer Science, Centrum Wiskunde & Informatica (CWI))
Michael Keane (TU Delft - Electrical Engineering, Mathematics and Computer Science, Universiteit Leiden)
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Abstract
We consider in general two-block substitutions and their fixed points. We prove that some of them have a simple structure: their fixed points are morphic sequences. Others are intrinsically more complex, such as the Kolakoski sequence. We prove this for the Thue-Morse sequence in base 3/2.
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