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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
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: |
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| 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| Status: | Not Peer Reviewed | ||||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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