Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8906019 | Indagationes Mathematicae | 2018 | 15 Pages |
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)
Authors
Lax Chan, Uwe Grimm, Ian Short,