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A Generalization of Cobham's Theorem

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Abstract.

If a nonperiodic sequence X is the image by a morphism of a fixed point of both a primitive substitution σ and a primitive substitution τ , then the dominant eigenvalues of the matrices of σ and τ are multiplicatively dependent. This is the way we propose to generalize Cobham's theorem.

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Received April 1996, and in final form April 1997.

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Durand, F. A Generalization of Cobham's Theorem. Theory Comput. Systems 31, 169–185 (1998). https://doi.org/10.1007/s002240000084

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  • DOI: https://doi.org/10.1007/s002240000084

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