Kolakoski-(3,1) is a (deformed) model set
Michael Baake, Bernd Sing
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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