Relationships between the dynamical systems associated to the Rauzy substitutions

AbstractIn this paper we study some relationships between the dynamical systems that arise from the family of substitutions: 1 → 12, …,(n − 1) → 1n,n → 1, for n ⩾ 2. We describe how the dynamics of the system of this family corresponding to n is present in the system corresponding to n′, with n < n′