A graph approach to computing nondeterminacy in substitutional dynamical systems

Toke Meier Carlsen, Søren Eilers · RAIRO - Theoretical Informatics and Applications · 2007

We present an algorithm which for any aperiodic and primitive substitution outputs a finite representation of each special word in the shift space associated to that substitution, and determines when such representations are equivalent under orbit and shift tail equivalence. The algorithm has been implemented and applied in the study of certain new invariants for flow equivalence of substitutional dynamical systems.

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