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2018•Journal of Mathematics and MusicRequires access

Combinatorics of words and morphisms in some pieces of Tom Johnson

Jean‐Paul Allouche, Tom Johnson

Open publisher page 7 citations

Abstract

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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What this paper is about

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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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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.

Key concepts: Morphism, Combinatorics on words, Mathematics, Combinatorics, Discrete mathematics, Word (group theory), Geometry

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