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Diffraction of a binary non-Pisot inflation tiling
Citation
Baake, M and Grimm, U, Diffraction of a binary non-Pisot inflation tiling, Journal of Physics: Conference Series, 18-23 September 2016, Kathmandu, Nepal, pp. 1-4. ISSN 1742-6588 (2017) [Refereed Conference Paper]
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Copyright Statement
Copyright 2017 IOP Publishing Ltd. Licensed under Creative Commons Attribution 3.0 licence (CC BY 3.0) https://creativecommons.org/licenses/by/3.0/
DOI: doi:10.1088/1742-6596/809/1/012026
Abstract
A one-parameter family of binary inflation rules in one dimension is considered. Apart from the first member, which is the well-known Fibonacci rule, no inflation factor is a unit. We identify all cases with pure point spectrum, and discuss the diffraction spectra of other members of the family. Apart from the trivial Bragg peaks at the origin, they have purely singular continuous diffraction.
Item Details
| Item Type: | Refereed Conference Paper |
|---|---|
| Keywords: | bragg peaks, diffraction spectra, inflation factors, inflation rule |
| Research Division: | Physical Sciences |
| Research Group: | Other Physical Sciences |
| Research Field: | Physical Sciences not elsewhere classified |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding Knowledge |
| Objective Field: | Expanding Knowledge in the Physical Sciences |
| UTAS Author: | Grimm, U (Professor Uwe Grimm) |
| ID Code: | 125300 |
| Year Published: | 2017 |
| Web of Science® Times Cited: | 2 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2018-04-12 |
| Last Modified: | 2018-05-22 |
| Downloads: | 74 View Download Statistics |
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