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125300 - Diffraction of a binary non-Pisot inflation tiling.pdf (400.45 kB)

Diffraction of a binary non-Pisot inflation tiling

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conference contribution
posted on 2023-05-23, 13:27 authored by Baake, M, Uwe Grimm
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.

History

Publication title

Journal of Physics: Conference Series

Volume

809

Editors

AP Tsai, HR Sharma, R Lifshitz, R Tamura

Pagination

1-4

ISSN

1742-6588

Department/School

School of Natural Sciences

Publisher

Institute of Physics Publishing Ltd.

Place of publication

United Kingdom

Event title

The 13th International Conference on Quasicrystals

Event Venue

Kathmandu, Nepal

Date of Event (Start Date)

2016-09-18

Date of Event (End Date)

2016-09-23

Rights 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/

Repository Status

  • Open

Socio-economic Objectives

Expanding knowledge in the physical sciences

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