Geodesic
Kolakoski-(3, 1) Is a (Deformed) Model Set
Canadian mathematical bulletin, Tome 47 (2004) no. 2, pp. 168-190

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DOI

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 losing the pure point diffraction property.
DOI : 10.4153/CMB-2004-018-6
Mots-clés : 52C23, 37B10, 28A80, 43A25 
Sing, Bernd. Kolakoski-(3, 1) Is a (Deformed) Model Set. Canadian mathematical bulletin, Tome 47 (2004) no. 2, pp. 168-190. doi: 10.4153/CMB-2004-018-6
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     title = {Kolakoski-(3, 1) {Is} a {(Deformed)} {Model} {Set}},
     journal = {Canadian mathematical bulletin},
     pages = {168--190},
     year = {2004},
     volume = {47},
     number = {2},
     doi = {10.4153/CMB-2004-018-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-018-6/}
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