Invertible substitutions and local isomorphisms |
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| Authors: | Zhi-Xiong Wen Zhi-Ying Wen Jun Wu |
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| Affiliation: | 1. Nonlinear Science Center, Department of Mathematics, Wuhan University, Wuhan 430072, China;2. Department of Mathematics, Tsinghua University, Beijing 10084, China |
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| Abstract: | Let ?1 and ?2 be two primitive invertible substitutions over a two-letter alphabet. Let ξ?1 and ξ?2 be fixed points of ?1 and ?2, respectively. We show that ξ?1 and ξ?2 are locally isomorphic if and only if there exists a primitive invertible substitution ?0 and two positive integers m and n such that M?1=M?0m and M?2=M?0n, where M? is the substitutive matrix of the substitution ?. To cite this article: Z.-X. Wen et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 629–634. |
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