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On the canonical projection method for one-dimensional quasicrystals and invertible substitution rules

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Lamb, Jeroen S. W. (1999) On the canonical projection method for one-dimensional quasicrystals and invertible substitution rules. Journal of Physics A: Mathematical and General, 31 (18). L331-L336. doi:10.1088/0305-4470/31/18/001 ISSN 0305-4470.

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Official URL: http://dx.doi.org/10.1088/0305-4470/31/18/001

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Abstract

We show that if a quasiperiodic two-symbol sequence obtained by the canonical projection method has an infinite number of predecessors with respect to a substitution rule σ, then σ is an invertible substitution rule. Vice versa, we show that every quasiperiodic two-symbol sequence that has an infinite number of predecessors with respect to a non-trivial invertible substitution rule can be obtained by the canonical projection method.

Item Type: Journal Article
Subjects: R Medicine > R Medicine (General)
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Journal of Physics A: Mathematical and General
Publisher: IOP Publishing
ISSN: 0305-4470
Official Date: 8 May 1999
Dates:
DateEvent
8 May 1999Published
Volume: 31
Number: 18
Page Range: L331-L336
DOI: 10.1088/0305-4470/31/18/001
Status: Not Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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