Geodesic
The Spectrum of Dynamical Systems Arising from Substitutions of Constant Length
Dekking, F. M.1 
1 Laboratoire de Probabilités, E.R.A. 250 du C-N.R.S., Avenue du Général Leclerc, 35031 Rennes Cédex, France
Publications de l'Institut de recherche mathématiques de Rennes, Séminaire de probabilité I, no. 2 (1976), Exposé no. 6, 34 p.

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Minimal flows and dynamical systems arising from substitutions are considered. In the case of substitutions of constant length the trace relation of the flow is calculated and is used to determine the spectrum of the dynamical system. Several methods are indicated to obtain new substitutions from given ones, leading among other things to a description of the behaviour of powers of the shift homeomorphism on the system arising from any substitution.

Classification : 54H20, 28A65
Keywords: Substitution, trace relation, spectrum, induced transformation

Dekking, F. M. 1

1 Laboratoire de Probabilités, E.R.A. 250 du C-N.R.S., Avenue du Général Leclerc, 35031 Rennes Cédex, France 
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     title = {The {Spectrum} of {Dynamical} {Systems} {Arising} from {Substitutions} of {Constant} {Length}},
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Dekking, F. M. The Spectrum of Dynamical Systems Arising from Substitutions of Constant Length. Publications de l'Institut de recherche mathématiques de Rennes, Séminaire de probabilité I, no. 2 (1976), Exposé no. 6, 34 p.. http://geodesic.mathdoc.fr/item/PSMIR_1976___2_A6_0/