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.
Mots-clés : Substitution, trace relation, spectrum, induced transformation
@article{PSMIR_1976___2_A6_0,
author = {Dekking, F. M.},
title = {The {Spectrum} of {Dynamical} {Systems} {Arising} from {Substitutions} of {Constant} {Length}},
journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
note = {talk:6},
pages = {1--34},
publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
number = {2},
year = {1976},
language = {en},
url = {http://archive.numdam.org/item/PSMIR_1976___2_A6_0/}
}
TY - JOUR AU - Dekking, F. M. TI - The Spectrum of Dynamical Systems Arising from Substitutions of Constant Length JO - Publications des séminaires de mathématiques et informatique de Rennes N1 - talk:6 PY - 1976 SP - 1 EP - 34 IS - 2 PB - Département de Mathématiques et Informatique, Université de Rennes UR - http://archive.numdam.org/item/PSMIR_1976___2_A6_0/ LA - en ID - PSMIR_1976___2_A6_0 ER -
%0 Journal Article %A Dekking, F. M. %T The Spectrum of Dynamical Systems Arising from Substitutions of Constant Length %J Publications des séminaires de mathématiques et informatique de Rennes %Z talk:6 %D 1976 %P 1-34 %N 2 %I Département de Mathématiques et Informatique, Université de Rennes %U http://archive.numdam.org/item/PSMIR_1976___2_A6_0/ %G en %F PSMIR_1976___2_A6_0
Dekking, F. M. The Spectrum of Dynamical Systems Arising from Substitutions of Constant Length. Publications des séminaires de mathématiques et informatique de Rennes, Séminaire de probabilité I, no. 2 (1976), Exposé no. 6, 34 p. http://archive.numdam.org/item/PSMIR_1976___2_A6_0/
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