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

Baake M, Sing B (2004)
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 47(2): 168-190.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
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.
Erscheinungsjahr
2004
Zeitschriftentitel
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
Band
47
Ausgabe
2
Seite(n)
168-190
ISSN
0008-4395
Page URI
https://pub.uni-bielefeld.de/record/1607807

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Baake M, Sing B. Kolakoski-(3,1) is a (deformed) model set. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES. 2004;47(2):168-190.
Baake, M., & Sing, B. (2004). Kolakoski-(3,1) is a (deformed) model set. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 47(2), 168-190.
Baake, M., and Sing, B. (2004). Kolakoski-(3,1) is a (deformed) model set. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 47, 168-190.
Baake, M., & Sing, B., 2004. Kolakoski-(3,1) is a (deformed) model set. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 47(2), p 168-190.
M. Baake and B. Sing, “Kolakoski-(3,1) is a (deformed) model set”, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, vol. 47, 2004, pp. 168-190.
Baake, M., Sing, B.: Kolakoski-(3,1) is a (deformed) model set. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES. 47, 168-190 (2004).
Baake, Michael, and Sing, B. “Kolakoski-(3,1) is a (deformed) model set”. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 47.2 (2004): 168-190.

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