Kolakoski-(2m,2n) are limit-periodic model sets
Mathematical Physics
2008-03-11 v2 math.MP
Abstract
We consider (generalized) Kolakoski sequences on an alphabet with two even numbers. They can be related to a primitive substitution rule of constant length ell. Using this connection, we prove that they have pure point dynamical and pure point diffractive spectrum, where we make use of the strong interplay between these two concepts. Since these sequences can then be described as model sets with ell-adic internal space, we add an approach to ``visualize'' such internal spaces.
Cite
@article{arxiv.math-ph/0207037,
title = {Kolakoski-(2m,2n) are limit-periodic model sets},
author = {Bernd Sing},
journal= {arXiv preprint arXiv:math-ph/0207037},
year = {2008}
}
Comments
15 pages, 3 figures; updated references, corrected typos