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RAIRO - Theoretical Informatics and Applications (1)

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A graph approach to computing nondeterminacy in substitutional dynamical systems
Toke M. Carlsen, Søren Eilers
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 41 / Issue 3 / July 2007

Published online by Cambridge University Press:

25 September 2007, pp. 285-306

Print publication:

July 2007
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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.