Kolakoski-(2m,2n) are limit-periodic model sets

dc.creatorSing, Bernd
dc.date2002-07-26
dc.date2003-01-21
dc.date.accessioned2026-07-07T09:25:59Z
dc.date.available2026-07-07T09:25:59Z
dc.descriptionWe 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.
dc.description15 pages, 3 figures; updated references, corrected typos
dc.identifierhttps://arxiv.org/abs/math-ph/0207037
dc.identifierhttp://arxiv.org/abs/math-ph/0207037
dc.identifierJ. Math. Phys. 44, No. 2, 899-912 (2003)
dc.identifierdoi:10.1063/1.1521239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156594
dc.subjectMathematical Physics
dc.titleKolakoski-(2m,2n) are limit-periodic model sets
dc.typetext

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