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Chan, Lax; Grimm, Uwe and Short, Ian
(2018).
DOI: https://doi.org/10.1016/j.indag.2018.05.009
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.