Article ID Journal Published Year Pages File Type
8906019 Indagationes Mathematicae 2018 15 Pages PDF
Abstract
By generalising Rudin's construction of an aperiodic sequence, we derive new substitution-based structures which have a purely absolutely continuous diffraction measure and a mixed dynamical spectrum, with absolutely continuous and pure point parts. We discuss several examples, including a construction based on Fourier matrices which yields constant-length substitutions for any length.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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