Coincidence for substitutions of Pisot type
Marcy Barge, Beverly Diamond (2002)
Bulletin de la Société Mathématique de France
Similarity:
Let be a substitution of Pisot type on the alphabet ; satisfies theif for every , there are integers such that and have the same -th letter, and the prefixes of length of and have the same image under the abelianization map. We prove that the strong coincidence condition is satisfied if and provide a partial result for .