Kolakoski-(3,1) is a (deformed) model set
Metric Geometry
2019-07-23 v2
Abstract
Unlike the (classical) Kolakoski sequence on the alphabet {1,2}, its analogue on {1,3} can be related to a primitive substitution rule. Using this connection, we prove that the corresponding bi-infinite fixed point is a regular generic model set and thus has a pure point diffraction spectrum. The Kolakoski-(3,1) sequence is then obtained as a deformation, without loosing the pure point diffraction property.
Cite
@article{arxiv.math/0206098,
title = {Kolakoski-(3,1) is a (deformed) model set},
author = {Michael Baake and Bernd Sing},
journal= {arXiv preprint arXiv:math/0206098},
year = {2019}
}
Comments
20 pages, 6 figures, 2 tables; added content in Section 3 (Proposition 3), added references, corrected typos