Substitution-based structures with absolutely continuous spectrum
Dynamical Systems
2018-07-13 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
By generalising Rudin's construction of an aperiodic sequence, we derive new substitution-based structures which have purely absolutely continuous diffraction and 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.
Cite
@article{arxiv.1706.05289,
title = {Substitution-based structures with absolutely continuous spectrum},
author = {Lax Chan and Uwe Grimm and Ian Short},
journal= {arXiv preprint arXiv:1706.05289},
year = {2018}
}
Comments
13 pages