Coincidence for substitutions of Pisot type

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Coincidence for Substitutions of Pisot Type

— Let φ be a substitution of Pisot type on the alphabet A = {1, 2, . . . , d}; φ satisfies the strong coincidence condition if for every i, j ∈ A, there are integers k, n such that φn(i) and φn(j) have the same k-th letter, and the prefixes of length k − 1 of φn(i) and φn(j) have the same image under the abelianization map. We prove that the strong coincidence condition is satisfied if d = 2 an...

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ژورنال

عنوان ژورنال: Bulletin de la Société mathématique de France

سال: 2002

ISSN: 0037-9484,2102-622X

DOI: 10.24033/bsmf.2433