Kolakoski-(3, 1) Is a (Deformed) Model Set
Copyright policy )Kolakoski-(3, 1) Is a (Deformed) Model Set
AbstractUnlike 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 biin finite 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 losing the pure point diffraction property.
- Bielefeld University Germany
- University of Greifswald Germany
model set, 52C23, 37B10 (Primary), 28A80, 43A25 (Secondary), Kolakoski sequence, Symbolic dynamics, Metric Geometry (math.MG), Fractals, Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, Mathematics - Metric Geometry, FOS: Mathematics, cut-and-project set, Quasicrystals and aperiodic tilings in discrete geometry
model set, 52C23, 37B10 (Primary), 28A80, 43A25 (Secondary), Kolakoski sequence, Symbolic dynamics, Metric Geometry (math.MG), Fractals, Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, Mathematics - Metric Geometry, FOS: Mathematics, cut-and-project set, Quasicrystals and aperiodic tilings in discrete geometry
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