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Topological conjugacy to given constant length substitution minimal systems
Authors:Ethan M. Coven  Andrew Dykstra  Michael Keane  Michelle LeMasurier
Affiliation:1. Department of Mathematics, Wesleyan University, Middletown CT 06459, United States;2. Department of Mathematics, Hamilton College, Clinton NY 13323, United States
Abstract:We find necessary and sufficient conditions for a symbolic dynamical system to be topologically conjugate to any given constant length substitution minimal system, thus extending the results in Coven et al. (2008) for the Morse and Toeplitz substitutions.
Keywords:Substitution   Constant length   Primitive   Substitution minimal system   Topologically conjugate
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