On the structure of Thue-Morse subwords, with an application to dynamical systems
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dynamicalthue-morsesubwordssystemallowsanalysisapplicationconjugate
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We give an in depth analysis of the subwords of the Thue-Morse sequence. This allows us to prove that there are infinitely many injective primitive substitutions with Perron-Frobenius eigenvalue 2 that generate a symbolic dynamical system topologically conjugate to the Thue-Morse dynamical system.
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