COINCIDENCE FOR SUBSTITUTIONS OF PISOT TYPE by Marcy Barge

@inproceedings{Diamond2002COINCIDENCEFS,
  title={COINCIDENCE FOR SUBSTITUTIONS OF PISOT TYPE by Marcy Barge},
  author={Beverly Diamond},
  year={2002}
}
— 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 and provide a partial result for d ≥ 2. Résumé (Cöıncidence pour les substitutions de type Pisot… CONTINUE READING

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