A graph approach to computing nondeterminacy in substitutional dynamical systems
University of Copenhagen, Universitetsparken
5, 2100 Copenhagen Ø, Denmark; email@example.com
2 School of Mathematical & Physical Sciences, Mathemathics Building - V123, University of Newcastle, University Drive, Callaghan NSW 2308, Australia.
3 University of Copenhagen, Universitetsparken 5, 2100 Copenhagen Ø, Denmark; firstname.lastname@example.org
Accepted: 1 August 2006
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.
Mathematics Subject Classification: 37B10 / 68R15
Key words: Sustitution / shift spaces / special elements / orbit equivalence / shift tail equivalence
© EDP Sciences, 2007