A generalization of Cobham's Theorem

Mathematics – Combinatorics

Scientific paper

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Scientific paper

If a non-periodic sequence $X$ is the image by a morphism of a fixed point of
both a primitive substitution $\sigma$ and a primitive substitution $\tau$,
then the dominant eigenvalues of the matrices of $\sigma$ and of $\tau$ are
multiplicatively dependent. This is the way we propose to generalize Cobham's
Theorem.

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