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On invertible substitutions with two fixed points
Authors:Zhi-Xiong Wen  Zhi-Ying Wen  Jun Wu
Institution:1. Nonlinear Science Center, Department of Mathematics, Wuhan University, Wuhan 430072, China;2. Department of Mathematics, Tsinghua University, Beijing 10084, China
Abstract:Let ? be a primitive substitution on a two-letter alphabet {a,b} having two fixed points ξa and ξb. We show that the substitution ? is invertible if and only if one has ξa=abξ and ξb=baξ. To cite this article: Z.-X. Wen et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 727–731.
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