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Kolakoski-(3,1) is a (deformed) model set

Michael Baake·Bernd Sing
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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.

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Michael Baake, Bernd Sing. 2002-06-10. Kolakoski-(3,1) is a (deformed) model set. https://doi.org/10.4153/cmb-2004-018-6

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