Article
Geometrical and spectral properties of Pisot substitutions
Authors
Marcy Barge
Publication
Topology and its Applications
Abstract
A necessary condition for an n-dimensional substitutive dynamical system to be a finite extension of an algebraic system is that the substitution be Pisot. We discuss the sufficiency of the Pisot property and review conditions under which such an extension is guaranteed to be almost everywhere one-to-one.
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