Necessary and sufficient conditions for a dynamical system to be   topologically conjugate to a given substitution minimal system
  We find necessary and sufficient conditions for a dynamical system to be topologically conjugate to any given substitution minimal system, thus extending the results in [CKL] for the Morse and Toeplitz substitutions. 
Ethan M. Coven, Andrew Dykstra, Michael Keane, and Michelle LeMasurier
math.DS