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Toeplitz minimal flows which are not uniquely ergodic
Authors:Susan Williams
Institution:(1) Department of Mathematics and Statistics, University of South Alabama, 36688 Mobile, Alabama, USA
Abstract:Summary We study minimal symbolic dynamical systems which are orbit closures of Toeplitz sequences. We construct 0–1 subshifts of this type for which the set of ergodic invariant measures has any given finite cardinality, is countably infinite or has cardinality of the continuum.
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