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

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

2002-06-10

arxiv.org/abs/math/0206098v2

Canad. Math. Bull. 47, No. 2, 168--190 (2004)

Mathematics

Metric Geometry

20 pages, 6 figures, 2 tables; added content in Section 3 (Proposition 3), added references, corrected typos

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Kolakoski-(3,1) is a (deformed) model set does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kolakoski-(3,1) is a (deformed) model set, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kolakoski-(3,1) is a (deformed) model set will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-79468