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Diffraction of a binary non-Pisot inflation tiling

Baake, Michael and Grimm, Uwe (2017). Diffraction of a binary non-Pisot inflation tiling. Journal of Physics: Conference Series, 809(1), article no. 012026.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1088/1742-6596/809/1/012026
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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 Type: Journal Item
Copyright Holders: 2017 IoP Publishing Ltd
ISSN: 1742-6588
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 49061
Depositing User: Uwe Grimm
Date Deposited: 04 Apr 2017 08:36
Last Modified: 17 May 2017 23:32
URI: http://oro.open.ac.uk/id/eprint/49061
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