Combinatorics of words and morphisms in some pieces of Tom Johnson

Jean‐Paul Allouche, Tom Johnson · Journal of Mathematics and Music · 2018

We survey several occurrences of combinatorics of words and morphisms in the pieces of Tom Johnson, showing in particular that some of the sequences of notes that he used intuitively can be interpreted or constructed through combinatorial objects such as morphisms. Furthermore some of these sequences have an independent interest in number theory and theoretical computer science.

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