On the structure of Thue-Morse subwords, with an application to   dynamical systems
  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. 
Michel Dekking
math.CO