Abstract
Let ϕ 1 and ϕ 2 be two primitive invertible substitutions over a two-letter alphabet. Let ξ ϕ 1 and ξ ϕ 2 be fixed points of ϕ 1 and ϕ 2, respectively. We show that ξ ϕ 1 and ξ ϕ 2 are locally isomorphic if and only if there exists a primitive invertible substitution ϕ 0 and two positive integers m and n such that M ϕ 1 = M ϕ 0 m and M ϕ 2 = M ϕ 0 n , where M ϕ is the substitutive matrix of the substitution ϕ. To cite this article: Z.-X. Wen et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 629–634.
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